2.584 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.033 * * [simplify]: iteration 0 : 19 enodes (cost 8 ) 0.034 * * [simplify]: iteration 1 : 28 enodes (cost 8 ) 0.035 * * [simplify]: iteration 2 : 36 enodes (cost 8 ) 0.037 * * [simplify]: iteration 3 : 44 enodes (cost 8 ) 0.038 * * [simplify]: iteration 4 : 46 enodes (cost 8 ) 0.039 * * [simplify]: iteration 5 : 46 enodes (cost 8 ) 0.039 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.040 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.042 * * * * [pick]: Picked # 0.042 * * * [progress]: localizing error 0.052 * * * [progress]: generating rewritten candidates 0.052 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.056 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.065 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.082 * * * [progress]: generating series expansions 0.082 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.083 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.083 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.083 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.083 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.083 * [taylor]: Taking taylor expansion of re in im 0.083 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.083 * [taylor]: Taking taylor expansion of im in im 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.084 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.084 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.084 * [taylor]: Taking taylor expansion of re in re 0.084 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.084 * [taylor]: Taking taylor expansion of im in re 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.085 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.085 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.085 * [taylor]: Taking taylor expansion of re in re 0.085 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.085 * [taylor]: Taking taylor expansion of im in re 0.085 * [taylor]: Taking taylor expansion of im in im 0.086 * [taylor]: Taking taylor expansion of 0 in im 0.087 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.087 * [taylor]: Taking taylor expansion of 1/2 in im 0.087 * [taylor]: Taking taylor expansion of im in im 0.089 * [taylor]: Taking taylor expansion of 0 in im 0.090 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.090 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.090 * [taylor]: Taking taylor expansion of im in im 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.090 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.090 * [taylor]: Taking taylor expansion of re in im 0.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.093 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.093 * [taylor]: Taking taylor expansion of im in re 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.093 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.093 * [taylor]: Taking taylor expansion of re in re 0.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.095 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.095 * [taylor]: Taking taylor expansion of im in re 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.095 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.095 * [taylor]: Taking taylor expansion of re in re 0.098 * [taylor]: Taking taylor expansion of 1 in im 0.098 * [taylor]: Taking taylor expansion of 0 in im 0.100 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.100 * [taylor]: Taking taylor expansion of 1/2 in im 0.100 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.100 * [taylor]: Taking taylor expansion of im in im 0.103 * [taylor]: Taking taylor expansion of 0 in im 0.104 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.104 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.104 * [taylor]: Taking taylor expansion of im in im 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.105 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.105 * [taylor]: Taking taylor expansion of re in im 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.107 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.107 * [taylor]: Taking taylor expansion of im in re 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.107 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.107 * [taylor]: Taking taylor expansion of re in re 0.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.112 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.112 * [taylor]: Taking taylor expansion of im in re 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.112 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.112 * [taylor]: Taking taylor expansion of re in re 0.115 * [taylor]: Taking taylor expansion of 1 in im 0.115 * [taylor]: Taking taylor expansion of 0 in im 0.117 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.117 * [taylor]: Taking taylor expansion of 1/2 in im 0.117 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.117 * [taylor]: Taking taylor expansion of im in im 0.120 * [taylor]: Taking taylor expansion of 0 in im 0.121 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.122 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.122 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.122 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.122 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.122 * [taylor]: Taking taylor expansion of re in im 0.122 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.122 * [taylor]: Taking taylor expansion of im in im 0.122 * [taylor]: Taking taylor expansion of re in im 0.122 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.122 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.122 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.122 * [taylor]: Taking taylor expansion of re in re 0.122 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.122 * [taylor]: Taking taylor expansion of im in re 0.123 * [taylor]: Taking taylor expansion of re in re 0.123 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.123 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.123 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.123 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.123 * [taylor]: Taking taylor expansion of re in re 0.123 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.123 * [taylor]: Taking taylor expansion of im in re 0.124 * [taylor]: Taking taylor expansion of re in re 0.124 * [taylor]: Taking taylor expansion of im in im 0.124 * [taylor]: Taking taylor expansion of -1 in im 0.126 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.126 * [taylor]: Taking taylor expansion of 1/2 in im 0.126 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.126 * [taylor]: Taking taylor expansion of im in im 0.129 * [taylor]: Taking taylor expansion of 0 in im 0.130 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.130 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.130 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.130 * [taylor]: Taking taylor expansion of im in im 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.131 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.131 * [taylor]: Taking taylor expansion of re in im 0.133 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.133 * [taylor]: Taking taylor expansion of re in im 0.133 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.133 * [taylor]: Taking taylor expansion of im in re 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.133 * [taylor]: Taking taylor expansion of re in re 0.135 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.135 * [taylor]: Taking taylor expansion of re in re 0.135 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.136 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.136 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.136 * [taylor]: Taking taylor expansion of im in re 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.136 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.136 * [taylor]: Taking taylor expansion of re in re 0.138 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.138 * [taylor]: Taking taylor expansion of re in re 0.139 * [taylor]: Taking taylor expansion of 0 in im 0.140 * [taylor]: Taking taylor expansion of 0 in im 0.142 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.142 * [taylor]: Taking taylor expansion of 1/2 in im 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.142 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.142 * [taylor]: Taking taylor expansion of im in im 0.147 * [taylor]: Taking taylor expansion of 0 in im 0.149 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.149 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.149 * [taylor]: Taking taylor expansion of re in im 0.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.149 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.149 * [taylor]: Taking taylor expansion of im in im 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.149 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.149 * [taylor]: Taking taylor expansion of re in im 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.151 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.151 * [taylor]: Taking taylor expansion of re in re 0.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.152 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.152 * [taylor]: Taking taylor expansion of im in re 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.152 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.152 * [taylor]: Taking taylor expansion of re in re 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.154 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.154 * [taylor]: Taking taylor expansion of re in re 0.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.154 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.154 * [taylor]: Taking taylor expansion of im in re 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.155 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.155 * [taylor]: Taking taylor expansion of re in re 0.157 * [taylor]: Taking taylor expansion of 2 in im 0.158 * [taylor]: Taking taylor expansion of 0 in im 0.160 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.160 * [taylor]: Taking taylor expansion of 1/2 in im 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.160 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.160 * [taylor]: Taking taylor expansion of im in im 0.165 * [taylor]: Taking taylor expansion of 0 in im 0.166 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.167 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.167 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.167 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.167 * [taylor]: Taking taylor expansion of 2.0 in im 0.167 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.167 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.167 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.167 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.167 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.167 * [taylor]: Taking taylor expansion of re in im 0.167 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.167 * [taylor]: Taking taylor expansion of im in im 0.168 * [taylor]: Taking taylor expansion of re in im 0.172 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.172 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.172 * [taylor]: Taking taylor expansion of 2.0 in re 0.173 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.173 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.173 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.173 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.173 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.173 * [taylor]: Taking taylor expansion of re in re 0.173 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.173 * [taylor]: Taking taylor expansion of im in re 0.173 * [taylor]: Taking taylor expansion of re in re 0.174 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.174 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.174 * [taylor]: Taking taylor expansion of 2.0 in re 0.175 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.175 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.175 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.175 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.175 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.175 * [taylor]: Taking taylor expansion of re in re 0.175 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.175 * [taylor]: Taking taylor expansion of im in re 0.176 * [taylor]: Taking taylor expansion of re in re 0.177 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.177 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.177 * [taylor]: Taking taylor expansion of 2.0 in im 0.177 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.178 * [taylor]: Taking taylor expansion of im in im 0.181 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.181 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.181 * [taylor]: Taking taylor expansion of 1/2 in im 0.181 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.181 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.181 * [taylor]: Taking taylor expansion of 2.0 in im 0.182 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.182 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.182 * [taylor]: Taking taylor expansion of im in im 0.204 * [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 0.205 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.205 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.205 * [taylor]: Taking taylor expansion of 2.0 in im 0.205 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.205 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.205 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.205 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.205 * [taylor]: Taking taylor expansion of im in im 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.206 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.206 * [taylor]: Taking taylor expansion of re in im 0.208 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.208 * [taylor]: Taking taylor expansion of re in im 0.209 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.209 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.209 * [taylor]: Taking taylor expansion of 2.0 in re 0.210 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.210 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.210 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.210 * [taylor]: Taking taylor expansion of im in re 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.210 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.210 * [taylor]: Taking taylor expansion of re in re 0.212 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.212 * [taylor]: Taking taylor expansion of re in re 0.217 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.217 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.217 * [taylor]: Taking taylor expansion of 2.0 in re 0.218 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.218 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.218 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.218 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.218 * [taylor]: Taking taylor expansion of im in re 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.218 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.218 * [taylor]: Taking taylor expansion of re in re 0.221 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.221 * [taylor]: Taking taylor expansion of re in re 0.226 * [taylor]: Taking taylor expansion of 0 in im 0.227 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.227 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.227 * [taylor]: Taking taylor expansion of +nan.0 in im 0.227 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.227 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.227 * [taylor]: Taking taylor expansion of 2.0 in im 0.228 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.228 * [taylor]: Taking taylor expansion of im in im 0.235 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.235 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.235 * [taylor]: Taking taylor expansion of +nan.0 in im 0.235 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.235 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.235 * [taylor]: Taking taylor expansion of 2.0 in im 0.235 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.235 * [taylor]: Taking taylor expansion of im in im 0.251 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.251 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.251 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.252 * [taylor]: Taking taylor expansion of +nan.0 in im 0.252 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.252 * [taylor]: Taking taylor expansion of 2.0 in im 0.252 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.252 * [taylor]: Taking taylor expansion of im in im 0.253 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.253 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.253 * [taylor]: Taking taylor expansion of +nan.0 in im 0.253 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.253 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.253 * [taylor]: Taking taylor expansion of 2.0 in im 0.254 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.254 * [taylor]: Taking taylor expansion of im in im 0.279 * [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 0.279 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.279 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.279 * [taylor]: Taking taylor expansion of 2.0 in im 0.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.280 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.280 * [taylor]: Taking taylor expansion of re in im 0.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.280 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.280 * [taylor]: Taking taylor expansion of im in im 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.280 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.280 * [taylor]: Taking taylor expansion of re in im 0.284 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.284 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.284 * [taylor]: Taking taylor expansion of 2.0 in re 0.284 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.284 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.284 * [taylor]: Taking taylor expansion of re in re 0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.285 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.285 * [taylor]: Taking taylor expansion of im in re 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.285 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.285 * [taylor]: Taking taylor expansion of re in re 0.288 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.288 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.288 * [taylor]: Taking taylor expansion of 2.0 in re 0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.289 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.289 * [taylor]: Taking taylor expansion of re in re 0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.289 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.289 * [taylor]: Taking taylor expansion of im in re 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.290 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.290 * [taylor]: Taking taylor expansion of re in re 0.293 * [taylor]: Taking taylor expansion of 0 in im 0.295 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.295 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.295 * [taylor]: Taking taylor expansion of +nan.0 in im 0.295 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.295 * [taylor]: Taking taylor expansion of 2.0 in im 0.300 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.300 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.300 * [taylor]: Taking taylor expansion of +nan.0 in im 0.300 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.300 * [taylor]: Taking taylor expansion of 2.0 in im 0.308 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.308 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.308 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.308 * [taylor]: Taking taylor expansion of +nan.0 in im 0.308 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.308 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.308 * [taylor]: Taking taylor expansion of 2.0 in im 0.309 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.309 * [taylor]: Taking taylor expansion of im in im 0.310 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.310 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.310 * [taylor]: Taking taylor expansion of +nan.0 in im 0.310 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.310 * [taylor]: Taking taylor expansion of 2.0 in im 0.320 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.320 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.320 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.320 * [taylor]: Taking taylor expansion of +nan.0 in im 0.320 * [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 0.321 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.321 * [taylor]: Taking taylor expansion of im in im 0.322 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.322 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.322 * [taylor]: Taking taylor expansion of +nan.0 in im 0.322 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.322 * [taylor]: Taking taylor expansion of 2.0 in im 0.335 * * * [progress]: simplifying candidates 0.336 * [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))))))) 0.342 * * [simplify]: iteration 0 : 314 enodes (cost 760 ) 0.348 * * [simplify]: iteration 1 : 1192 enodes (cost 522 ) 0.375 * * [simplify]: iteration 2 : 5001 enodes (cost 473 ) 0.378 * [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)))) 0.379 * * * [progress]: adding candidates to table 0.579 * * [progress]: iteration 2 / 4 0.579 * * * [progress]: picking best candidate 0.587 * * * * [pick]: Picked # 0.587 * * * [progress]: localizing error 0.595 * * * [progress]: generating rewritten candidates 0.596 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2) 0.600 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.608 * * * [progress]: generating series expansions 0.608 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2) 0.608 * [approximate]: Taking taylor expansion of (- (hypot re im) re) in (re im) around 0 0.608 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.608 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.608 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.608 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.608 * [taylor]: Taking taylor expansion of (* re re) in im 0.608 * [taylor]: Taking taylor expansion of re in im 0.608 * [taylor]: Taking taylor expansion of re in im 0.608 * [taylor]: Taking taylor expansion of (* im im) in im 0.608 * [taylor]: Taking taylor expansion of im in im 0.608 * [taylor]: Taking taylor expansion of im in im 0.609 * [taylor]: Taking taylor expansion of re in im 0.609 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.609 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.609 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.609 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.610 * [taylor]: Taking taylor expansion of (* re re) in re 0.610 * [taylor]: Taking taylor expansion of re in re 0.610 * [taylor]: Taking taylor expansion of re in re 0.610 * [taylor]: Taking taylor expansion of (* im im) in re 0.610 * [taylor]: Taking taylor expansion of im in re 0.610 * [taylor]: Taking taylor expansion of im in re 0.611 * [taylor]: Taking taylor expansion of re in re 0.611 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.611 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.611 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.611 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.611 * [taylor]: Taking taylor expansion of (* re re) in re 0.611 * [taylor]: Taking taylor expansion of re in re 0.611 * [taylor]: Taking taylor expansion of re in re 0.611 * [taylor]: Taking taylor expansion of (* im im) in re 0.611 * [taylor]: Taking taylor expansion of im in re 0.611 * [taylor]: Taking taylor expansion of im in re 0.612 * [taylor]: Taking taylor expansion of re in re 0.612 * [taylor]: Taking taylor expansion of im in im 0.613 * [taylor]: Taking taylor expansion of -1 in im 0.615 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.615 * [taylor]: Taking taylor expansion of 1/2 in im 0.615 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.615 * [taylor]: Taking taylor expansion of im in im 0.617 * [taylor]: Taking taylor expansion of 0 in im 0.619 * [approximate]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.619 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.619 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.619 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.619 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.619 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.619 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.619 * [taylor]: Taking taylor expansion of re in im 0.619 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.619 * [taylor]: Taking taylor expansion of re in im 0.619 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.619 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.619 * [taylor]: Taking taylor expansion of im in im 0.619 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.619 * [taylor]: Taking taylor expansion of im in im 0.622 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.622 * [taylor]: Taking taylor expansion of re in im 0.622 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.622 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.622 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.622 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.622 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.622 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.622 * [taylor]: Taking taylor expansion of re in re 0.623 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.623 * [taylor]: Taking taylor expansion of re in re 0.623 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.623 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.623 * [taylor]: Taking taylor expansion of im in re 0.623 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.623 * [taylor]: Taking taylor expansion of im in re 0.625 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.625 * [taylor]: Taking taylor expansion of re in re 0.626 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.626 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.626 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.626 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.626 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.626 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.626 * [taylor]: Taking taylor expansion of re in re 0.626 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.626 * [taylor]: Taking taylor expansion of re in re 0.626 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.626 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.627 * [taylor]: Taking taylor expansion of im in re 0.627 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.627 * [taylor]: Taking taylor expansion of im in re 0.629 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.629 * [taylor]: Taking taylor expansion of re in re 0.630 * [taylor]: Taking taylor expansion of 0 in im 0.631 * [taylor]: Taking taylor expansion of 0 in im 0.634 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.634 * [taylor]: Taking taylor expansion of 1/2 in im 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.634 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.634 * [taylor]: Taking taylor expansion of im in im 0.639 * [taylor]: Taking taylor expansion of 0 in im 0.641 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.641 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.641 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.641 * [taylor]: Taking taylor expansion of re in im 0.641 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 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 im 0.641 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.641 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.641 * [taylor]: Taking taylor expansion of -1 in im 0.641 * [taylor]: Taking taylor expansion of re in im 0.641 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.641 * [taylor]: Taking taylor expansion of -1 in im 0.641 * [taylor]: Taking taylor expansion of re in im 0.641 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.641 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.641 * [taylor]: Taking taylor expansion of -1 in im 0.641 * [taylor]: Taking taylor expansion of im in im 0.641 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.641 * [taylor]: Taking taylor expansion of -1 in im 0.641 * [taylor]: Taking taylor expansion of im in im 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 0.645 * [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 0.646 * [taylor]: Taking taylor expansion of im in re 0.648 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.648 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.648 * [taylor]: Taking taylor expansion of re in re 0.648 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.648 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.648 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.649 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.649 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.649 * [taylor]: Taking taylor expansion of -1 in re 0.649 * [taylor]: Taking taylor expansion of re in re 0.649 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.649 * [taylor]: Taking taylor expansion of -1 in re 0.649 * [taylor]: Taking taylor expansion of re in re 0.649 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.649 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.649 * [taylor]: Taking taylor expansion of -1 in re 0.649 * [taylor]: Taking taylor expansion of im in re 0.649 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.649 * [taylor]: Taking taylor expansion of -1 in re 0.649 * [taylor]: Taking taylor expansion of im in re 0.652 * [taylor]: Taking taylor expansion of 2 in im 0.653 * [taylor]: Taking taylor expansion of 0 in im 0.656 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.656 * [taylor]: Taking taylor expansion of 1/2 in im 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.656 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.656 * [taylor]: Taking taylor expansion of im in im 0.665 * [taylor]: Taking taylor expansion of 0 in im 0.667 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.667 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in (re im) around 0 0.667 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in im 0.667 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.667 * [taylor]: Taking taylor expansion of 2.0 in im 0.668 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in im 0.668 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in im 0.668 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.668 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.668 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.668 * [taylor]: Taking taylor expansion of (* re re) in im 0.668 * [taylor]: Taking taylor expansion of re in im 0.668 * [taylor]: Taking taylor expansion of re in im 0.668 * [taylor]: Taking taylor expansion of (* im im) in im 0.668 * [taylor]: Taking taylor expansion of im in im 0.668 * [taylor]: Taking taylor expansion of im in im 0.669 * [taylor]: Taking taylor expansion of re in im 0.673 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.673 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.673 * [taylor]: Taking taylor expansion of 2.0 in re 0.674 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.674 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.674 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.674 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.674 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.674 * [taylor]: Taking taylor expansion of (* re re) in re 0.674 * [taylor]: Taking taylor expansion of re in re 0.674 * [taylor]: Taking taylor expansion of re in re 0.674 * [taylor]: Taking taylor expansion of (* im im) in re 0.674 * [taylor]: Taking taylor expansion of im in re 0.674 * [taylor]: Taking taylor expansion of im in re 0.675 * [taylor]: Taking taylor expansion of re in re 0.676 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot re im) re))) in re 0.676 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.676 * [taylor]: Taking taylor expansion of 2.0 in re 0.677 * [taylor]: Taking taylor expansion of (sqrt (- (hypot re im) re)) in re 0.677 * [taylor]: Taking taylor expansion of (- (hypot re im) re) in re 0.677 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.677 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.677 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.677 * [taylor]: Taking taylor expansion of (* re re) in re 0.677 * [taylor]: Taking taylor expansion of re in re 0.677 * [taylor]: Taking taylor expansion of re in re 0.677 * [taylor]: Taking taylor expansion of (* im im) in re 0.677 * [taylor]: Taking taylor expansion of im in re 0.677 * [taylor]: Taking taylor expansion of im in re 0.678 * [taylor]: Taking taylor expansion of re in re 0.679 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 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 im) in im 0.680 * [taylor]: Taking taylor expansion of im in im 0.684 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.684 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.684 * [taylor]: Taking taylor expansion of 1/2 in im 0.684 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.684 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.684 * [taylor]: Taking taylor expansion of 2.0 in im 0.684 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.684 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.684 * [taylor]: Taking taylor expansion of im in im 0.704 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.704 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.704 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.704 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.704 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.704 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.704 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.704 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.704 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.704 * [taylor]: Taking taylor expansion of re 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 (* (/ 1 im) (/ 1 im)) in im 0.705 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.705 * [taylor]: Taking taylor expansion of im in im 0.705 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.705 * [taylor]: Taking taylor expansion of im in im 0.707 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.708 * [taylor]: Taking taylor expansion of re in im 0.709 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.709 * [taylor]: Taking taylor expansion of 2.0 in im 0.709 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.709 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.710 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.710 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.710 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.710 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.710 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.710 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.710 * [taylor]: Taking taylor expansion of re in re 0.710 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.710 * [taylor]: Taking taylor expansion of re in re 0.710 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.710 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.710 * [taylor]: Taking taylor expansion of im in re 0.710 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.710 * [taylor]: Taking taylor expansion of im in re 0.713 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.713 * [taylor]: Taking taylor expansion of re in re 0.718 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.718 * [taylor]: Taking taylor expansion of 2.0 in re 0.719 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.719 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.719 * [taylor]: Taking taylor expansion of (- (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.719 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.719 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.719 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.719 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.719 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.719 * [taylor]: Taking taylor expansion of re in re 0.719 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.719 * [taylor]: Taking taylor expansion of re in re 0.720 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.720 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.720 * [taylor]: Taking taylor expansion of im in re 0.720 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.720 * [taylor]: Taking taylor expansion of im in re 0.722 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.722 * [taylor]: Taking taylor expansion of re in re 0.728 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.728 * [taylor]: Taking taylor expansion of 2.0 in re 0.729 * [taylor]: Taking taylor expansion of 0 in im 0.729 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.729 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.729 * [taylor]: Taking taylor expansion of +nan.0 in im 0.729 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.729 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.729 * [taylor]: Taking taylor expansion of 2.0 in im 0.730 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.730 * [taylor]: Taking taylor expansion of im in im 0.737 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.738 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.738 * [taylor]: Taking taylor expansion of +nan.0 in im 0.738 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.738 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.738 * [taylor]: Taking taylor expansion of 2.0 in im 0.738 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.738 * [taylor]: Taking taylor expansion of im in im 0.759 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.759 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.760 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.760 * [taylor]: Taking taylor expansion of +nan.0 in im 0.760 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.760 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.760 * [taylor]: Taking taylor expansion of 2.0 in im 0.760 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.760 * [taylor]: Taking taylor expansion of im in im 0.761 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.761 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.761 * [taylor]: Taking taylor expansion of +nan.0 in im 0.761 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.761 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.761 * [taylor]: Taking taylor expansion of 2.0 in im 0.762 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.762 * [taylor]: Taking taylor expansion of im in im 0.785 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in (re im) around 0 0.785 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in im 0.785 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.785 * [taylor]: Taking taylor expansion of 2.0 in im 0.785 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in im 0.785 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in im 0.785 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.785 * [taylor]: Taking taylor expansion of re in im 0.785 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.786 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.786 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.786 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.786 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.786 * [taylor]: Taking taylor expansion of -1 in im 0.786 * [taylor]: Taking taylor expansion of re in im 0.786 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.786 * [taylor]: Taking taylor expansion of -1 in im 0.786 * [taylor]: Taking taylor expansion of re in im 0.786 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.786 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.786 * [taylor]: Taking taylor expansion of -1 in im 0.786 * [taylor]: Taking taylor expansion of im in im 0.786 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.786 * [taylor]: Taking taylor expansion of -1 in im 0.786 * [taylor]: Taking taylor expansion of im in im 0.790 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.790 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.790 * [taylor]: Taking taylor expansion of 2.0 in re 0.791 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.791 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.791 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.791 * [taylor]: Taking taylor expansion of re in re 0.791 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.791 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.791 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.792 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.792 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.792 * [taylor]: Taking taylor expansion of -1 in re 0.792 * [taylor]: Taking taylor expansion of re in re 0.792 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.792 * [taylor]: Taking taylor expansion of -1 in re 0.792 * [taylor]: Taking taylor expansion of re in re 0.792 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.792 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.792 * [taylor]: Taking taylor expansion of -1 in re 0.792 * [taylor]: Taking taylor expansion of im in re 0.792 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.792 * [taylor]: Taking taylor expansion of -1 in re 0.792 * [taylor]: Taking taylor expansion of im in re 0.796 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))))) in re 0.796 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.796 * [taylor]: Taking taylor expansion of 2.0 in re 0.797 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im)))) in re 0.797 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ -1 re) (/ -1 im))) in re 0.797 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.797 * [taylor]: Taking taylor expansion of re in re 0.797 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.797 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.797 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.797 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.797 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.797 * [taylor]: Taking taylor expansion of -1 in re 0.797 * [taylor]: Taking taylor expansion of re in re 0.798 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.798 * [taylor]: Taking taylor expansion of -1 in re 0.798 * [taylor]: Taking taylor expansion of re in re 0.798 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.798 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.798 * [taylor]: Taking taylor expansion of -1 in re 0.798 * [taylor]: Taking taylor expansion of im in re 0.798 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.798 * [taylor]: Taking taylor expansion of -1 in re 0.798 * [taylor]: Taking taylor expansion of im in re 0.802 * [taylor]: Taking taylor expansion of 0 in im 0.803 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.803 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.803 * [taylor]: Taking taylor expansion of +nan.0 in im 0.803 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.803 * [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 0.819 * [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 0.835 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.835 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.836 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.836 * [taylor]: Taking taylor expansion of +nan.0 in im 0.836 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.836 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.836 * [taylor]: Taking taylor expansion of 2.0 in im 0.836 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.836 * [taylor]: Taking taylor expansion of im in im 0.837 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.837 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.837 * [taylor]: Taking taylor expansion of +nan.0 in im 0.837 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.837 * [taylor]: Taking taylor expansion of 2.0 in im 0.850 * * * [progress]: simplifying candidates 0.850 * [simplify]: Simplifying using # : (fma 1 (hypot re im) (- (* (cbrt re) (* (cbrt re) (cbrt re))))) (fma (- (cbrt re)) (* (cbrt re) (cbrt re)) (* (cbrt re) (* (cbrt re) (cbrt re)))) (fma 1 (hypot re im) (- (* (sqrt re) (sqrt re)))) (fma (- (sqrt re)) (sqrt re) (* (sqrt re) (sqrt re))) (fma 1 (hypot re im) (- (* re 1))) (fma (- re) 1 (* re 1)) (expm1 (- (* 1 (hypot re im)) re)) (log1p (- (* 1 (hypot re im)) re)) (- re) (/ (exp (* 1 (hypot re im))) (exp re)) (log (- (* 1 (hypot re im)) re)) (exp (- (* 1 (hypot re im)) re)) (* (cbrt (- (* 1 (hypot re im)) re)) (cbrt (- (* 1 (hypot re im)) re))) (cbrt (- (* 1 (hypot re im)) re)) (* (* (- (* 1 (hypot re im)) re) (- (* 1 (hypot re im)) re)) (- (* 1 (hypot re im)) re)) (sqrt (- (* 1 (hypot re im)) re)) (sqrt (- (* 1 (hypot re im)) re)) (- (pow (* 1 (hypot re im)) 3) (pow re 3)) (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (+ (* re re) (* (* 1 (hypot re im)) re))) (- re) (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)) (+ (* 1 (hypot re im)) re) (- (hypot re im) re) (- re) (expm1 (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (log1p (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (log (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (exp (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (* (cbrt (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (- (* 1 (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (* (* (sqrt (* 2.0 (- (* 1 (hypot re im)) re))) (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (sqrt 2.0) (sqrt (- (* 1 (hypot re im)) re)) (sqrt (* 2.0 (- (pow (* 1 (hypot re im)) 3) (pow re 3)))) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (+ (* re re) (* (* 1 (hypot re im)) re)))) (sqrt (* 2.0 (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)))) (sqrt (+ (* 1 (hypot re im)) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (- im re) 0 (* -2 re) (- (+ (* +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))))))) 0.854 * * [simplify]: iteration 0 : 219 enodes (cost 241 ) 0.858 * * [simplify]: iteration 1 : 758 enodes (cost 199 ) 0.879 * * [simplify]: iteration 2 : 4930 enodes (cost 190 ) 0.990 * * [simplify]: iteration 3 : 5001 enodes (cost 190 ) 0.992 * [simplify]: Simplified to: (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (- (hypot re im) re) (- re re) (expm1 (- (* 1 (hypot re im)) re)) (log1p (- (* 1 (hypot re im)) re)) (- re) (exp (- (hypot re im) re)) (log (- (* 1 (hypot re im)) re)) (exp (- (hypot re im) re)) (* (cbrt (- (* 1 (hypot re im)) re)) (cbrt (- (* 1 (hypot re im)) re))) (cbrt (- (* 1 (hypot re im)) re)) (pow (- (hypot re im) re) 3) (sqrt (- (* 1 (hypot re im)) re)) (sqrt (- (* 1 (hypot re im)) re)) (- (pow (* 1 (hypot re im)) 3) (pow re 3)) (fma re (fma 1 (hypot re im) re) (* (hypot re im) (hypot re im))) (- re) (fma (hypot re im) (hypot re im) (- (pow re 2))) (fma 1 (hypot re im) re) (- (hypot re im) re) (- re) (expm1 (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (log1p (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (log (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (exp (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (* (cbrt (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (cbrt (sqrt (* 2.0 (- (* 1 (hypot re im)) re))))) (cbrt (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (pow (sqrt (* 2.0 (- (* 1 (hypot re im)) re))) 3) (sqrt 2.0) (sqrt (- (* 1 (hypot re im)) re)) (sqrt (* 2.0 (- (pow (* 1 (hypot re im)) 3) (pow re 3)))) (sqrt (+ (* (* 1 (hypot re im)) (* 1 (hypot re im))) (+ (* re re) (* (* 1 (hypot re im)) re)))) (sqrt (* 2.0 (- (* (* 1 (hypot re im)) (* 1 (hypot re im))) (* re re)))) (sqrt (+ (* 1 (hypot re im)) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (sqrt (sqrt (* 2.0 (- (* 1 (hypot re im)) re)))) (- im re) 0 (* -2 re) (* (* +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))) 0.992 * * * [progress]: adding candidates to table 1.100 * * [progress]: iteration 3 / 4 1.100 * * * [progress]: picking best candidate 1.105 * * * * [pick]: Picked # 1.105 * * * [progress]: localizing error 1.119 * * * [progress]: generating rewritten candidates 1.119 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 1.123 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1) 1.127 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 1.128 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.131 * * * [progress]: generating series expansions 1.131 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 1.131 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.131 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.131 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.132 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.132 * [taylor]: Taking taylor expansion of re in im 1.132 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.132 * [taylor]: Taking taylor expansion of im in im 1.132 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.132 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.132 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.132 * [taylor]: Taking taylor expansion of re in re 1.132 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.132 * [taylor]: Taking taylor expansion of im in re 1.133 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.133 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.133 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.133 * [taylor]: Taking taylor expansion of re in re 1.133 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.133 * [taylor]: Taking taylor expansion of im in re 1.134 * [taylor]: Taking taylor expansion of im in im 1.134 * [taylor]: Taking taylor expansion of 0 in im 1.135 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.135 * [taylor]: Taking taylor expansion of 1/2 in im 1.135 * [taylor]: Taking taylor expansion of im in im 1.137 * [taylor]: Taking taylor expansion of 0 in im 1.138 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.138 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.138 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.138 * [taylor]: Taking taylor expansion of im in im 1.138 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.138 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.138 * [taylor]: Taking taylor expansion of re in im 1.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.140 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.140 * [taylor]: Taking taylor expansion of im in re 1.140 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.140 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.140 * [taylor]: Taking taylor expansion of re in re 1.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.143 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.143 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.143 * [taylor]: Taking taylor expansion of im in re 1.143 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.143 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.143 * [taylor]: Taking taylor expansion of re in re 1.146 * [taylor]: Taking taylor expansion of 1 in im 1.146 * [taylor]: Taking taylor expansion of 0 in im 1.147 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.147 * [taylor]: Taking taylor expansion of 1/2 in im 1.147 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.148 * [taylor]: Taking taylor expansion of im in im 1.151 * [taylor]: Taking taylor expansion of 0 in im 1.152 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.152 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.152 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.152 * [taylor]: Taking taylor expansion of im in im 1.153 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.153 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.153 * [taylor]: Taking taylor expansion of re in im 1.155 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.155 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.155 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.155 * [taylor]: Taking taylor expansion of im in re 1.155 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.155 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.155 * [taylor]: Taking taylor expansion of re in re 1.157 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.157 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.157 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.157 * [taylor]: Taking taylor expansion of im in re 1.158 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.158 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.158 * [taylor]: Taking taylor expansion of re in re 1.160 * [taylor]: Taking taylor expansion of 1 in im 1.160 * [taylor]: Taking taylor expansion of 0 in im 1.162 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.162 * [taylor]: Taking taylor expansion of 1/2 in im 1.162 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.162 * [taylor]: Taking taylor expansion of im in im 1.165 * [taylor]: Taking taylor expansion of 0 in im 1.166 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1) 1.166 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.166 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.166 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.166 * [taylor]: Taking taylor expansion of re in im 1.166 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.167 * [taylor]: Taking taylor expansion of im in im 1.167 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.167 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.167 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.167 * [taylor]: Taking taylor expansion of re in re 1.167 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.167 * [taylor]: Taking taylor expansion of im in re 1.168 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.168 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.168 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.168 * [taylor]: Taking taylor expansion of re in re 1.168 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.168 * [taylor]: Taking taylor expansion of im in re 1.168 * [taylor]: Taking taylor expansion of im in im 1.168 * [taylor]: Taking taylor expansion of 0 in im 1.170 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.170 * [taylor]: Taking taylor expansion of 1/2 in im 1.170 * [taylor]: Taking taylor expansion of im in im 1.175 * [taylor]: Taking taylor expansion of 0 in im 1.176 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.176 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.176 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.176 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.176 * [taylor]: Taking taylor expansion of im in im 1.177 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.177 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.177 * [taylor]: Taking taylor expansion of re in im 1.179 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.179 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.179 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.179 * [taylor]: Taking taylor expansion of im in re 1.179 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.179 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.179 * [taylor]: Taking taylor expansion of re in re 1.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.181 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.181 * [taylor]: Taking taylor expansion of im in re 1.182 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.182 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.182 * [taylor]: Taking taylor expansion of re in re 1.184 * [taylor]: Taking taylor expansion of 1 in im 1.184 * [taylor]: Taking taylor expansion of 0 in im 1.186 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.186 * [taylor]: Taking taylor expansion of 1/2 in im 1.186 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.186 * [taylor]: Taking taylor expansion of im in im 1.189 * [taylor]: Taking taylor expansion of 0 in im 1.190 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.190 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.190 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.190 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.190 * [taylor]: Taking taylor expansion of im in im 1.191 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.191 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.191 * [taylor]: Taking taylor expansion of re in im 1.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.193 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.193 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.193 * [taylor]: Taking taylor expansion of im in re 1.194 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.194 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.194 * [taylor]: Taking taylor expansion of re in re 1.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.196 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.196 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.196 * [taylor]: Taking taylor expansion of im in re 1.196 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.196 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.196 * [taylor]: Taking taylor expansion of re in re 1.198 * [taylor]: Taking taylor expansion of 1 in im 1.198 * [taylor]: Taking taylor expansion of 0 in im 1.200 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.200 * [taylor]: Taking taylor expansion of 1/2 in im 1.200 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.200 * [taylor]: Taking taylor expansion of im in im 1.204 * [taylor]: Taking taylor expansion of 0 in im 1.205 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 1.205 * [approximate]: Taking taylor expansion of (fma (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4) (* -1 re)) in (re im) around 0 1.205 * [taylor]: Taking taylor expansion of (fma (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4) (* -1 re)) in im 1.205 * [taylor]: Rewrote expression to (+ (* (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4)) (* -1 re)) 1.205 * [taylor]: Taking taylor expansion of (* (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4)) in im 1.205 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in im 1.205 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in im 1.205 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in im 1.205 * [taylor]: Taking taylor expansion of 1/4 in im 1.205 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 1.205 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.205 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.205 * [taylor]: Taking taylor expansion of re in im 1.205 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.205 * [taylor]: Taking taylor expansion of im in im 1.206 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in im 1.206 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in im 1.206 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in im 1.206 * [taylor]: Taking taylor expansion of 1/4 in im 1.206 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 1.206 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.206 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.206 * [taylor]: Taking taylor expansion of re in im 1.206 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.206 * [taylor]: Taking taylor expansion of im in im 1.206 * [taylor]: Taking taylor expansion of (* -1 re) in im 1.206 * [taylor]: Taking taylor expansion of -1 in im 1.206 * [taylor]: Taking taylor expansion of re in im 1.206 * [taylor]: Taking taylor expansion of (fma (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4) (* -1 re)) in re 1.206 * [taylor]: Rewrote expression to (+ (* (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4)) (* -1 re)) 1.206 * [taylor]: Taking taylor expansion of (* (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4)) in re 1.207 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in re 1.207 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in re 1.207 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in re 1.207 * [taylor]: Taking taylor expansion of 1/4 in re 1.207 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.207 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.207 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.207 * [taylor]: Taking taylor expansion of re in re 1.207 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.207 * [taylor]: Taking taylor expansion of im in re 1.207 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in re 1.207 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in re 1.207 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in re 1.207 * [taylor]: Taking taylor expansion of 1/4 in re 1.207 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.207 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.207 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.207 * [taylor]: Taking taylor expansion of re in re 1.207 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.207 * [taylor]: Taking taylor expansion of im in re 1.207 * [taylor]: Taking taylor expansion of (* -1 re) in re 1.207 * [taylor]: Taking taylor expansion of -1 in re 1.207 * [taylor]: Taking taylor expansion of re in re 1.207 * [taylor]: Taking taylor expansion of (fma (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4) (* -1 re)) in re 1.208 * [taylor]: Rewrote expression to (+ (* (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4)) (* -1 re)) 1.208 * [taylor]: Taking taylor expansion of (* (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4)) in re 1.208 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in re 1.208 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in re 1.208 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in re 1.208 * [taylor]: Taking taylor expansion of 1/4 in re 1.208 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.208 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.208 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.208 * [taylor]: Taking taylor expansion of re in re 1.208 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.208 * [taylor]: Taking taylor expansion of im in re 1.208 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in re 1.208 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in re 1.208 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in re 1.208 * [taylor]: Taking taylor expansion of 1/4 in re 1.208 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.208 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.208 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.208 * [taylor]: Taking taylor expansion of re in re 1.208 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.208 * [taylor]: Taking taylor expansion of im in re 1.209 * [taylor]: Taking taylor expansion of (* -1 re) in re 1.209 * [taylor]: Taking taylor expansion of -1 in re 1.209 * [taylor]: Taking taylor expansion of re in re 1.209 * [taylor]: Taking taylor expansion of im in im 1.214 * [taylor]: Taking taylor expansion of -1 in im 1.221 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.221 * [taylor]: Taking taylor expansion of 1/2 in im 1.222 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.222 * [taylor]: Taking taylor expansion of im in im 1.234 * [taylor]: Taking taylor expansion of 0 in im 1.235 * [approximate]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ -1 re)) in (re im) around 0 1.235 * [taylor]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ -1 re)) in im 1.235 * [taylor]: Rewrote expression to (+ (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) (/ -1 re)) 1.235 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in im 1.235 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in im 1.235 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.235 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.235 * [taylor]: Taking taylor expansion of 1/4 in im 1.235 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.235 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.235 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.235 * [taylor]: Taking taylor expansion of im in im 1.236 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.236 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.236 * [taylor]: Taking taylor expansion of re in im 1.237 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in im 1.237 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.237 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.237 * [taylor]: Taking taylor expansion of 1/4 in im 1.237 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.237 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.237 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.237 * [taylor]: Taking taylor expansion of im in im 1.238 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.238 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.238 * [taylor]: Taking taylor expansion of re in im 1.239 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.239 * [taylor]: Taking taylor expansion of -1 in im 1.239 * [taylor]: Taking taylor expansion of re in im 1.239 * [taylor]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ -1 re)) in re 1.239 * [taylor]: Rewrote expression to (+ (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) (/ -1 re)) 1.239 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in re 1.239 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 1.239 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.239 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.239 * [taylor]: Taking taylor expansion of 1/4 in re 1.239 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.239 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.239 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.239 * [taylor]: Taking taylor expansion of im in re 1.239 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.239 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.239 * [taylor]: Taking taylor expansion of re in re 1.241 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 1.241 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.241 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.241 * [taylor]: Taking taylor expansion of 1/4 in re 1.241 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.241 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.241 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.241 * [taylor]: Taking taylor expansion of im in re 1.241 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.241 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.241 * [taylor]: Taking taylor expansion of re in re 1.242 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.242 * [taylor]: Taking taylor expansion of -1 in re 1.242 * [taylor]: Taking taylor expansion of re in re 1.243 * [taylor]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ -1 re)) in re 1.243 * [taylor]: Rewrote expression to (+ (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) (/ -1 re)) 1.243 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in re 1.243 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 1.243 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.243 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.243 * [taylor]: Taking taylor expansion of 1/4 in re 1.243 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.243 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.243 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.243 * [taylor]: Taking taylor expansion of im in re 1.243 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.243 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.243 * [taylor]: Taking taylor expansion of re in re 1.244 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 1.244 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.244 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.245 * [taylor]: Taking taylor expansion of 1/4 in re 1.245 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.245 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.245 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.245 * [taylor]: Taking taylor expansion of im in re 1.245 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.245 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.245 * [taylor]: Taking taylor expansion of re in re 1.246 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.246 * [taylor]: Taking taylor expansion of -1 in re 1.246 * [taylor]: Taking taylor expansion of re in re 1.247 * [taylor]: Taking taylor expansion of -1 in im 1.247 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.247 * [taylor]: Taking taylor expansion of re in im 1.254 * [taylor]: Taking taylor expansion of 0 in im 1.267 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re (pow im 2)))) in im 1.267 * [taylor]: Taking taylor expansion of 1/2 in im 1.267 * [taylor]: Taking taylor expansion of (/ 1 (* re (pow im 2))) in im 1.267 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im 1.267 * [taylor]: Taking taylor expansion of re in im 1.267 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.267 * [taylor]: Taking taylor expansion of im in im 1.270 * [approximate]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ 1 re)) in (re im) around 0 1.270 * [taylor]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ 1 re)) in im 1.270 * [taylor]: Rewrote expression to (+ (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) (/ 1 re)) 1.270 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in im 1.270 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in im 1.270 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.271 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.271 * [taylor]: Taking taylor expansion of 1/4 in im 1.271 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.271 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.271 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.271 * [taylor]: Taking taylor expansion of im in im 1.271 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.271 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.271 * [taylor]: Taking taylor expansion of re in im 1.272 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in im 1.272 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.272 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.272 * [taylor]: Taking taylor expansion of 1/4 in im 1.273 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.273 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.273 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.273 * [taylor]: Taking taylor expansion of im in im 1.273 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.273 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.273 * [taylor]: Taking taylor expansion of re in im 1.274 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.274 * [taylor]: Taking taylor expansion of re in im 1.274 * [taylor]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ 1 re)) in re 1.274 * [taylor]: Rewrote expression to (+ (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) (/ 1 re)) 1.274 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in re 1.274 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 1.274 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.274 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.274 * [taylor]: Taking taylor expansion of 1/4 in re 1.274 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.274 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.274 * [taylor]: Taking taylor expansion of im in re 1.275 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.275 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.275 * [taylor]: Taking taylor expansion of re in re 1.276 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 1.276 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.276 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.276 * [taylor]: Taking taylor expansion of 1/4 in re 1.276 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.276 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.276 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.276 * [taylor]: Taking taylor expansion of im in re 1.276 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.276 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.276 * [taylor]: Taking taylor expansion of re in re 1.277 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.278 * [taylor]: Taking taylor expansion of re in re 1.278 * [taylor]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ 1 re)) in re 1.278 * [taylor]: Rewrote expression to (+ (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) (/ 1 re)) 1.278 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in re 1.278 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 1.278 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.278 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.278 * [taylor]: Taking taylor expansion of 1/4 in re 1.278 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.278 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.278 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.278 * [taylor]: Taking taylor expansion of im in re 1.278 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.278 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.278 * [taylor]: Taking taylor expansion of re in re 1.280 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 1.280 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.280 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.280 * [taylor]: Taking taylor expansion of 1/4 in re 1.280 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.280 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.280 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.280 * [taylor]: Taking taylor expansion of im in re 1.280 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.280 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.280 * [taylor]: Taking taylor expansion of re in re 1.281 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.281 * [taylor]: Taking taylor expansion of re in re 1.282 * [taylor]: Taking taylor expansion of 1 in im 1.282 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.282 * [taylor]: Taking taylor expansion of re in im 1.289 * [taylor]: Taking taylor expansion of 0 in im 1.297 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re (pow im 2)))) in im 1.297 * [taylor]: Taking taylor expansion of 1/2 in im 1.297 * [taylor]: Taking taylor expansion of (/ 1 (* re (pow im 2))) in im 1.297 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im 1.297 * [taylor]: Taking taylor expansion of re in im 1.297 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.297 * [taylor]: Taking taylor expansion of im in im 1.300 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.300 * [approximate]: Taking taylor expansion of (* (sqrt (fma (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4) (* -1 re))) (sqrt 2.0)) in (re im) around 0 1.300 * [taylor]: Taking taylor expansion of (* (sqrt (fma (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4) (* -1 re))) (sqrt 2.0)) in im 1.300 * [taylor]: Taking taylor expansion of (sqrt (fma (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4) (* -1 re))) in im 1.300 * [taylor]: Taking taylor expansion of (fma (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4) (* -1 re)) in im 1.300 * [taylor]: Rewrote expression to (+ (* (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4)) (* -1 re)) 1.300 * [taylor]: Taking taylor expansion of (* (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4)) in im 1.301 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in im 1.301 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in im 1.301 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in im 1.301 * [taylor]: Taking taylor expansion of 1/4 in im 1.301 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 1.301 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.301 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.301 * [taylor]: Taking taylor expansion of re in im 1.301 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.301 * [taylor]: Taking taylor expansion of im in im 1.301 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in im 1.301 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in im 1.301 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in im 1.301 * [taylor]: Taking taylor expansion of 1/4 in im 1.301 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 1.301 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.301 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.301 * [taylor]: Taking taylor expansion of re in im 1.301 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.301 * [taylor]: Taking taylor expansion of im in im 1.301 * [taylor]: Taking taylor expansion of (* -1 re) in im 1.301 * [taylor]: Taking taylor expansion of -1 in im 1.302 * [taylor]: Taking taylor expansion of re in im 1.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.324 * [taylor]: Taking taylor expansion of 2.0 in im 1.324 * [taylor]: Taking taylor expansion of (* (sqrt (fma (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4) (* -1 re))) (sqrt 2.0)) in re 1.325 * [taylor]: Taking taylor expansion of (sqrt (fma (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4) (* -1 re))) in re 1.325 * [taylor]: Taking taylor expansion of (fma (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4) (* -1 re)) in re 1.325 * [taylor]: Rewrote expression to (+ (* (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4)) (* -1 re)) 1.325 * [taylor]: Taking taylor expansion of (* (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4)) in re 1.325 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in re 1.325 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in re 1.325 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in re 1.325 * [taylor]: Taking taylor expansion of 1/4 in re 1.325 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.325 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.325 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.325 * [taylor]: Taking taylor expansion of re in re 1.325 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.325 * [taylor]: Taking taylor expansion of im in re 1.325 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in re 1.325 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in re 1.325 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in re 1.325 * [taylor]: Taking taylor expansion of 1/4 in re 1.325 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.325 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.325 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.325 * [taylor]: Taking taylor expansion of re in re 1.325 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.325 * [taylor]: Taking taylor expansion of im in re 1.326 * [taylor]: Taking taylor expansion of (* -1 re) in re 1.326 * [taylor]: Taking taylor expansion of -1 in re 1.326 * [taylor]: Taking taylor expansion of re in re 1.330 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.330 * [taylor]: Taking taylor expansion of 2.0 in re 1.331 * [taylor]: Taking taylor expansion of (* (sqrt (fma (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4) (* -1 re))) (sqrt 2.0)) in re 1.331 * [taylor]: Taking taylor expansion of (sqrt (fma (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4) (* -1 re))) in re 1.331 * [taylor]: Taking taylor expansion of (fma (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4) (* -1 re)) in re 1.331 * [taylor]: Rewrote expression to (+ (* (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4)) (* -1 re)) 1.331 * [taylor]: Taking taylor expansion of (* (pow (+ (pow re 2) (pow im 2)) 1/4) (pow (+ (pow re 2) (pow im 2)) 1/4)) in re 1.331 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in re 1.331 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in re 1.331 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in re 1.331 * [taylor]: Taking taylor expansion of 1/4 in re 1.331 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.331 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.331 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.331 * [taylor]: Taking taylor expansion of re in re 1.331 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.331 * [taylor]: Taking taylor expansion of im in re 1.332 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in re 1.332 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in re 1.332 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in re 1.332 * [taylor]: Taking taylor expansion of 1/4 in re 1.332 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.332 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.332 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.332 * [taylor]: Taking taylor expansion of re in re 1.332 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.332 * [taylor]: Taking taylor expansion of im in re 1.332 * [taylor]: Taking taylor expansion of (* -1 re) in re 1.332 * [taylor]: Taking taylor expansion of -1 in re 1.332 * [taylor]: Taking taylor expansion of re in re 1.337 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.337 * [taylor]: Taking taylor expansion of 2.0 in re 1.338 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.338 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.338 * [taylor]: Taking taylor expansion of 2.0 in im 1.339 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.339 * [taylor]: Taking taylor expansion of im in im 1.343 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 1.343 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.343 * [taylor]: Taking taylor expansion of 1/2 in im 1.343 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.343 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.343 * [taylor]: Taking taylor expansion of 2.0 in im 1.343 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.343 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.343 * [taylor]: Taking taylor expansion of im in im 1.368 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ -1 re)))) in (re im) around 0 1.368 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ -1 re)))) in im 1.368 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.368 * [taylor]: Taking taylor expansion of 2.0 in im 1.369 * [taylor]: Taking taylor expansion of (sqrt (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ -1 re))) in im 1.369 * [taylor]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ -1 re)) in im 1.369 * [taylor]: Rewrote expression to (+ (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) (/ -1 re)) 1.369 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in im 1.369 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in im 1.369 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.369 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.369 * [taylor]: Taking taylor expansion of 1/4 in im 1.369 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.369 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.369 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.369 * [taylor]: Taking taylor expansion of im in im 1.370 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.370 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.370 * [taylor]: Taking taylor expansion of re in im 1.371 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in im 1.371 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.371 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.371 * [taylor]: Taking taylor expansion of 1/4 in im 1.371 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.371 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.371 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.371 * [taylor]: Taking taylor expansion of im in im 1.371 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.371 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.371 * [taylor]: Taking taylor expansion of re in im 1.372 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.372 * [taylor]: Taking taylor expansion of -1 in im 1.372 * [taylor]: Taking taylor expansion of re in im 1.378 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ -1 re)))) in re 1.378 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.379 * [taylor]: Taking taylor expansion of 2.0 in re 1.379 * [taylor]: Taking taylor expansion of (sqrt (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ -1 re))) in re 1.379 * [taylor]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ -1 re)) in re 1.379 * [taylor]: Rewrote expression to (+ (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) (/ -1 re)) 1.379 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in re 1.379 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 1.379 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.379 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.379 * [taylor]: Taking taylor expansion of 1/4 in re 1.379 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.379 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.380 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.380 * [taylor]: Taking taylor expansion of im in re 1.380 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.380 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.380 * [taylor]: Taking taylor expansion of re in re 1.381 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 1.381 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.381 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.381 * [taylor]: Taking taylor expansion of 1/4 in re 1.381 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.381 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.381 * [taylor]: Taking taylor expansion of im in re 1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.381 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.381 * [taylor]: Taking taylor expansion of re in re 1.383 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.383 * [taylor]: Taking taylor expansion of -1 in re 1.383 * [taylor]: Taking taylor expansion of re in re 1.384 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ -1 re)))) in re 1.384 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.384 * [taylor]: Taking taylor expansion of 2.0 in re 1.385 * [taylor]: Taking taylor expansion of (sqrt (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ -1 re))) in re 1.385 * [taylor]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ -1 re)) in re 1.385 * [taylor]: Rewrote expression to (+ (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) (/ -1 re)) 1.385 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in re 1.385 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 1.385 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.385 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.385 * [taylor]: Taking taylor expansion of 1/4 in re 1.385 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.385 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.385 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.385 * [taylor]: Taking taylor expansion of im in re 1.385 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.386 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.386 * [taylor]: Taking taylor expansion of re in re 1.387 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 1.387 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.387 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.387 * [taylor]: Taking taylor expansion of 1/4 in re 1.387 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.387 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.387 * [taylor]: Taking taylor expansion of im in re 1.387 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.387 * [taylor]: Taking taylor expansion of (pow re 2) 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 1.390 * [taylor]: Taking taylor expansion of 0 in im 1.391 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.392 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.392 * [taylor]: Taking taylor expansion of +nan.0 in im 1.392 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.392 * [taylor]: Taking taylor expansion of 2.0 in im 1.397 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in im 1.398 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in im 1.398 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.398 * [taylor]: Taking taylor expansion of +nan.0 in im 1.398 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.398 * [taylor]: Taking taylor expansion of 2.0 in im 1.398 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in im 1.398 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in im 1.398 * [taylor]: Taking taylor expansion of +nan.0 in im 1.398 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in im 1.398 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.398 * [taylor]: Taking taylor expansion of 2.0 in im 1.399 * [taylor]: Taking taylor expansion of re in im 1.412 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in im 1.412 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in im 1.412 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.412 * [taylor]: Taking taylor expansion of +nan.0 in im 1.412 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.412 * [taylor]: Taking taylor expansion of 2.0 in im 1.413 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in im 1.413 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in im 1.413 * [taylor]: Taking taylor expansion of +nan.0 in im 1.413 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in im 1.413 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.413 * [taylor]: Taking taylor expansion of 2.0 in im 1.413 * [taylor]: Taking taylor expansion of re in im 1.421 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ 1 re)))) in (re im) around 0 1.421 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ 1 re)))) in im 1.421 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.421 * [taylor]: Taking taylor expansion of 2.0 in im 1.422 * [taylor]: Taking taylor expansion of (sqrt (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ 1 re))) in im 1.422 * [taylor]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ 1 re)) in im 1.422 * [taylor]: Rewrote expression to (+ (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) (/ 1 re)) 1.422 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in im 1.422 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in im 1.422 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.422 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.422 * [taylor]: Taking taylor expansion of 1/4 in im 1.422 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.422 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.422 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.422 * [taylor]: Taking taylor expansion of im in im 1.423 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.423 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.423 * [taylor]: Taking taylor expansion of re in im 1.424 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in im 1.424 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.424 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.424 * [taylor]: Taking taylor expansion of 1/4 in im 1.424 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.424 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.424 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.424 * [taylor]: Taking taylor expansion of im in im 1.424 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.424 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.424 * [taylor]: Taking taylor expansion of re in im 1.425 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.425 * [taylor]: Taking taylor expansion of re in im 1.431 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ 1 re)))) in re 1.431 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.431 * [taylor]: Taking taylor expansion of 2.0 in re 1.432 * [taylor]: Taking taylor expansion of (sqrt (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ 1 re))) in re 1.432 * [taylor]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ 1 re)) in re 1.432 * [taylor]: Rewrote expression to (+ (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) (/ 1 re)) 1.432 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in re 1.432 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 1.432 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.432 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.432 * [taylor]: Taking taylor expansion of 1/4 in re 1.432 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.432 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.432 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.432 * [taylor]: Taking taylor expansion of im in re 1.433 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.433 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.433 * [taylor]: Taking taylor expansion of re in re 1.434 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 1.434 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.434 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.434 * [taylor]: Taking taylor expansion of 1/4 in re 1.434 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.434 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.434 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.434 * [taylor]: Taking taylor expansion of im in re 1.434 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.434 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.434 * [taylor]: Taking taylor expansion of re in re 1.435 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.435 * [taylor]: Taking taylor expansion of re in re 1.437 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ 1 re)))) in re 1.437 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.437 * [taylor]: Taking taylor expansion of 2.0 in re 1.438 * [taylor]: Taking taylor expansion of (sqrt (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ 1 re))) in re 1.438 * [taylor]: Taking taylor expansion of (fma (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (/ 1 re)) in re 1.438 * [taylor]: Rewrote expression to (+ (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) (/ 1 re)) 1.438 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in re 1.438 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 1.438 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.438 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.438 * [taylor]: Taking taylor expansion of 1/4 in re 1.438 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.438 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.438 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.438 * [taylor]: Taking taylor expansion of im in re 1.438 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.438 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.438 * [taylor]: Taking taylor expansion of re in re 1.440 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 1.440 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.440 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.440 * [taylor]: Taking taylor expansion of 1/4 in re 1.440 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.440 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.440 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.440 * [taylor]: Taking taylor expansion of im in re 1.440 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.440 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.440 * [taylor]: Taking taylor expansion of re in re 1.447 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.447 * [taylor]: Taking taylor expansion of re in re 1.449 * [taylor]: Taking taylor expansion of 0 in im 1.450 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.450 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.450 * [taylor]: Taking taylor expansion of +nan.0 in im 1.450 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.450 * [taylor]: Taking taylor expansion of 2.0 in im 1.456 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in im 1.456 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in im 1.456 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.456 * [taylor]: Taking taylor expansion of +nan.0 in im 1.456 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.456 * [taylor]: Taking taylor expansion of 2.0 in im 1.457 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in im 1.457 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in im 1.457 * [taylor]: Taking taylor expansion of +nan.0 in im 1.457 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in im 1.457 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.457 * [taylor]: Taking taylor expansion of 2.0 in im 1.457 * [taylor]: Taking taylor expansion of re in im 1.470 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in im 1.470 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in im 1.470 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.470 * [taylor]: Taking taylor expansion of +nan.0 in im 1.470 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.471 * [taylor]: Taking taylor expansion of 2.0 in im 1.471 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in im 1.471 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in im 1.471 * [taylor]: Taking taylor expansion of +nan.0 in im 1.471 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in im 1.471 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.471 * [taylor]: Taking taylor expansion of 2.0 in im 1.472 * [taylor]: Taking taylor expansion of re in im 1.479 * * * [progress]: simplifying candidates 1.480 * [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)))) (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)))) (expm1 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (log1p (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (log (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (exp (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (* (cbrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (cbrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re)))) (cbrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (* (* (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re)) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (sqrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (sqrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (expm1 (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))))) (log1p (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))))) (log (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))))) (exp (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))))) (* (cbrt (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))))) (cbrt (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re)))))) (cbrt (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))))) (* (* (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re)))) (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))))) (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))))) (sqrt 2.0) (sqrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))))) (sqrt (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))))) im re (* -1 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)))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 1.485 * * [simplify]: iteration 0 : 212 enodes (cost 588 ) 1.489 * * [simplify]: iteration 1 : 740 enodes (cost 514 ) 1.501 * * [simplify]: iteration 2 : 2506 enodes (cost 503 ) 1.550 * * [simplify]: iteration 3 : 5001 enodes (cost 501 ) 1.552 * [simplify]: Simplified to: (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)))) (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)))) (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)))) (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)))) (expm1 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (log1p (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (hypot re im) (log (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (* (cbrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (cbrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re)))) (cbrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (pow (- (hypot re im) re) 3) (sqrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (sqrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) (expm1 (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))))) (log1p (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))))) (log (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))))) (exp (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))))) (* (cbrt (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))))) (cbrt (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re)))))) (cbrt (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))))) (pow (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re)))) 3) (sqrt 2.0) (sqrt (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))) 1/2 1/2 (sqrt (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))))) (sqrt (sqrt (* 2.0 (fma (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* -1 re))))) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) (* (* +nan.0 (sqrt 2.0)) (+ (- (* im im)) (- im (* im re)))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 1.553 * * * [progress]: adding candidates to table 1.829 * * [progress]: iteration 4 / 4 1.829 * * * [progress]: picking best candidate 1.839 * * * * [pick]: Picked # 1.839 * * * [progress]: localizing error 1.862 * * * [progress]: generating rewritten candidates 1.862 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 2 2 1) 1.866 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1 2 1 1) 1.870 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 2 2 1) 1.874 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1) 1.879 * * * [progress]: generating series expansions 1.880 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 2 2 1) 1.880 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.880 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.880 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.880 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.880 * [taylor]: Taking taylor expansion of re in im 1.880 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.880 * [taylor]: Taking taylor expansion of im in im 1.881 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.881 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.881 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.881 * [taylor]: Taking taylor expansion of re in re 1.881 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.881 * [taylor]: Taking taylor expansion of im in re 1.881 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.881 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.881 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.881 * [taylor]: Taking taylor expansion of re in re 1.881 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.881 * [taylor]: Taking taylor expansion of im in re 1.882 * [taylor]: Taking taylor expansion of im in im 1.882 * [taylor]: Taking taylor expansion of 0 in im 1.883 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.883 * [taylor]: Taking taylor expansion of 1/2 in im 1.883 * [taylor]: Taking taylor expansion of im in im 1.885 * [taylor]: Taking taylor expansion of 0 in im 1.886 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.886 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.886 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.886 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.886 * [taylor]: Taking taylor expansion of im in im 1.887 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.887 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.887 * [taylor]: Taking taylor expansion of re in im 1.889 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.889 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.889 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.889 * [taylor]: Taking taylor expansion of im in re 1.889 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.889 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.889 * [taylor]: Taking taylor expansion of re in re 1.891 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.891 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.891 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.891 * [taylor]: Taking taylor expansion of im in re 1.892 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.892 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.892 * [taylor]: Taking taylor expansion of re in re 1.894 * [taylor]: Taking taylor expansion of 1 in im 1.894 * [taylor]: Taking taylor expansion of 0 in im 1.896 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.896 * [taylor]: Taking taylor expansion of 1/2 in im 1.896 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.896 * [taylor]: Taking taylor expansion of im in im 1.899 * [taylor]: Taking taylor expansion of 0 in im 1.900 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.901 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.901 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.901 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.901 * [taylor]: Taking taylor expansion of im in im 1.901 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.901 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.901 * [taylor]: Taking taylor expansion of re in im 1.903 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.903 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.903 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.903 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.903 * [taylor]: Taking taylor expansion of im in re 1.903 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.903 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.903 * [taylor]: Taking taylor expansion of re in re 1.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.906 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.906 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.906 * [taylor]: Taking taylor expansion of im in re 1.906 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.906 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.906 * [taylor]: Taking taylor expansion of re in re 1.908 * [taylor]: Taking taylor expansion of 1 in im 1.908 * [taylor]: Taking taylor expansion of 0 in im 1.910 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.910 * [taylor]: Taking taylor expansion of 1/2 in im 1.910 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.910 * [taylor]: Taking taylor expansion of im in im 1.914 * [taylor]: Taking taylor expansion of 0 in im 1.915 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1 2 1 1) 1.915 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.915 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.915 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.915 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.915 * [taylor]: Taking taylor expansion of re in im 1.915 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.915 * [taylor]: Taking taylor expansion of im in im 1.916 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.916 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.916 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.916 * [taylor]: Taking taylor expansion of re in re 1.916 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.916 * [taylor]: Taking taylor expansion of im in re 1.916 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.916 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.916 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.916 * [taylor]: Taking taylor expansion of re in re 1.916 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.916 * [taylor]: Taking taylor expansion of im in re 1.917 * [taylor]: Taking taylor expansion of im in im 1.917 * [taylor]: Taking taylor expansion of 0 in im 1.918 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.918 * [taylor]: Taking taylor expansion of 1/2 in im 1.918 * [taylor]: Taking taylor expansion of im in im 1.920 * [taylor]: Taking taylor expansion of 0 in im 1.921 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.921 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.921 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.921 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.921 * [taylor]: Taking taylor expansion of im in im 1.922 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.922 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.922 * [taylor]: Taking taylor expansion of re in im 1.924 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.924 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.924 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.924 * [taylor]: Taking taylor expansion of im in re 1.924 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.924 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.924 * [taylor]: Taking taylor expansion of re in re 1.926 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.926 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.926 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.926 * [taylor]: Taking taylor expansion of im in re 1.926 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.927 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.927 * [taylor]: Taking taylor expansion of re in re 1.929 * [taylor]: Taking taylor expansion of 1 in im 1.929 * [taylor]: Taking taylor expansion of 0 in im 1.931 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.931 * [taylor]: Taking taylor expansion of 1/2 in im 1.931 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.931 * [taylor]: Taking taylor expansion of im in im 1.934 * [taylor]: Taking taylor expansion of 0 in im 1.935 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.935 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.935 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.935 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.935 * [taylor]: Taking taylor expansion of im in im 1.936 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.936 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.936 * [taylor]: Taking taylor expansion of re in im 1.938 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.938 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.938 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.938 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.938 * [taylor]: Taking taylor expansion of im in re 1.938 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.938 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.938 * [taylor]: Taking taylor expansion of re in re 1.940 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.941 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.941 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.941 * [taylor]: Taking taylor expansion of im in re 1.941 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.941 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.941 * [taylor]: Taking taylor expansion of re in re 1.943 * [taylor]: Taking taylor expansion of 1 in im 1.943 * [taylor]: Taking taylor expansion of 0 in im 1.945 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.945 * [taylor]: Taking taylor expansion of 1/2 in im 1.945 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.945 * [taylor]: Taking taylor expansion of im in im 1.953 * [taylor]: Taking taylor expansion of 0 in im 1.954 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 2 2 1) 1.954 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.954 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.954 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.954 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.954 * [taylor]: Taking taylor expansion of re in im 1.954 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.954 * [taylor]: Taking taylor expansion of im in im 1.955 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.955 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.955 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.955 * [taylor]: Taking taylor expansion of re in re 1.955 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.955 * [taylor]: Taking taylor expansion of im in re 1.956 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.956 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.956 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.956 * [taylor]: Taking taylor expansion of re in re 1.956 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.956 * [taylor]: Taking taylor expansion of im in re 1.956 * [taylor]: Taking taylor expansion of im in im 1.956 * [taylor]: Taking taylor expansion of 0 in im 1.957 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.958 * [taylor]: Taking taylor expansion of 1/2 in im 1.958 * [taylor]: Taking taylor expansion of im in im 1.959 * [taylor]: Taking taylor expansion of 0 in im 1.960 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.960 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.960 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.960 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.960 * [taylor]: Taking taylor expansion of im in im 1.961 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.961 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.961 * [taylor]: Taking taylor expansion of re in im 1.963 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.963 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.963 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.963 * [taylor]: Taking taylor expansion of im in re 1.963 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.963 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.963 * [taylor]: Taking taylor expansion of re in re 1.966 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.966 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.966 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.966 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.966 * [taylor]: Taking taylor expansion of im in re 1.966 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.966 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.966 * [taylor]: Taking taylor expansion of re in re 1.969 * [taylor]: Taking taylor expansion of 1 in im 1.969 * [taylor]: Taking taylor expansion of 0 in im 1.971 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.971 * [taylor]: Taking taylor expansion of 1/2 in im 1.971 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.971 * [taylor]: Taking taylor expansion of im in im 1.974 * [taylor]: Taking taylor expansion of 0 in im 1.975 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.975 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.975 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.975 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.975 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.975 * [taylor]: Taking taylor expansion of im in im 1.976 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.976 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.976 * [taylor]: Taking taylor expansion of re in im 1.978 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.978 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.978 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.978 * [taylor]: Taking taylor expansion of im in re 1.978 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.978 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.978 * [taylor]: Taking taylor expansion of re in re 1.980 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.980 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.980 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.980 * [taylor]: Taking taylor expansion of im in re 1.980 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.981 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.981 * [taylor]: Taking taylor expansion of re in re 1.983 * [taylor]: Taking taylor expansion of 1 in im 1.983 * [taylor]: Taking taylor expansion of 0 in im 1.985 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.985 * [taylor]: Taking taylor expansion of 1/2 in im 1.985 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.985 * [taylor]: Taking taylor expansion of im in im 1.988 * [taylor]: Taking taylor expansion of 0 in im 1.989 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 2 1 1) 1.989 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.989 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.989 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.989 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.989 * [taylor]: Taking taylor expansion of re in im 1.989 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.989 * [taylor]: Taking taylor expansion of im in im 1.990 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.990 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.990 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.990 * [taylor]: Taking taylor expansion of re in re 1.990 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.990 * [taylor]: Taking taylor expansion of im in re 1.991 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.991 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.991 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.991 * [taylor]: Taking taylor expansion of re in re 1.991 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.991 * [taylor]: Taking taylor expansion of im in re 1.991 * [taylor]: Taking taylor expansion of im in im 1.991 * [taylor]: Taking taylor expansion of 0 in im 1.993 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.993 * [taylor]: Taking taylor expansion of 1/2 in im 1.993 * [taylor]: Taking taylor expansion of im in im 1.995 * [taylor]: Taking taylor expansion of 0 in im 1.995 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.995 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.995 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.995 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.995 * [taylor]: Taking taylor expansion of im in im 1.996 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.996 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.996 * [taylor]: Taking taylor expansion of re in im 1.998 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.998 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.998 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.998 * [taylor]: Taking taylor expansion of im in re 1.998 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.998 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.998 * [taylor]: Taking taylor expansion of re in re 2.001 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.001 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.001 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.001 * [taylor]: Taking taylor expansion of im in re 2.001 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.001 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.001 * [taylor]: Taking taylor expansion of re in re 2.003 * [taylor]: Taking taylor expansion of 1 in im 2.004 * [taylor]: Taking taylor expansion of 0 in im 2.005 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.005 * [taylor]: Taking taylor expansion of 1/2 in im 2.006 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.006 * [taylor]: Taking taylor expansion of im in im 2.009 * [taylor]: Taking taylor expansion of 0 in im 2.010 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.010 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.010 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.010 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.010 * [taylor]: Taking taylor expansion of im in im 2.011 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.011 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.011 * [taylor]: Taking taylor expansion of re in im 2.013 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.013 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.013 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.013 * [taylor]: Taking taylor expansion of im in re 2.013 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.013 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.013 * [taylor]: Taking taylor expansion of re in re 2.015 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.015 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.015 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.015 * [taylor]: Taking taylor expansion of im in re 2.016 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.016 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.016 * [taylor]: Taking taylor expansion of re in re 2.018 * [taylor]: Taking taylor expansion of 1 in im 2.018 * [taylor]: Taking taylor expansion of 0 in im 2.020 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.020 * [taylor]: Taking taylor expansion of 1/2 in im 2.020 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.020 * [taylor]: Taking taylor expansion of im in im 2.023 * [taylor]: Taking taylor expansion of 0 in im 2.024 * * * [progress]: simplifying candidates 2.025 * [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)))) (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)))) (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)))) (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)))) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 2.029 * * [simplify]: iteration 0 : 98 enodes (cost 412 ) 2.031 * * [simplify]: iteration 1 : 254 enodes (cost 392 ) 2.036 * * [simplify]: iteration 2 : 619 enodes (cost 392 ) 2.046 * * [simplify]: iteration 3 : 1573 enodes (cost 392 ) 2.077 * * [simplify]: iteration 4 : 5001 enodes (cost 392 ) 2.080 * [simplify]: Simplified to: (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)))) (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)))) (sqrt 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)))) (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)))) (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)))) (sqrt 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)))) (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)))) (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)))) (sqrt 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)))) (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)))) (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)))) (sqrt 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)))) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 2.080 * * * [progress]: adding candidates to table 2.591 * [progress]: [Phase 3 of 3] Extracting. 2.592 * * [regime]: Finding splitpoints for: (# # # #) 2.594 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 2.594 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 2.616 * * * * [regimes]: Trying to branch on (* im im) from (# #) 2.631 * * * * [regimes]: Trying to branch on im from (# # # #) 2.656 * * * * [regimes]: Trying to branch on re from (# # # #) 2.690 * * * [regime]: Found split indices: #