8.287 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) 0.019 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.020 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.022 * * [simplify]: iteration 2 : 12 enodes (cost 5 ) 0.022 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.032 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.052 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.068 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.087 * * * [progress]: generating series expansions 0.088 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.088 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.088 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.088 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.088 * [taylor]: Taking taylor expansion of re in im 0.088 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.088 * [taylor]: Taking taylor expansion of im in im 0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.089 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.089 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.089 * [taylor]: Taking taylor expansion of re in re 0.089 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.089 * [taylor]: Taking taylor expansion of im in re 0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.089 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.089 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.089 * [taylor]: Taking taylor expansion of re in re 0.090 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.090 * [taylor]: Taking taylor expansion of im in re 0.090 * [taylor]: Taking taylor expansion of im in im 0.090 * [taylor]: Taking taylor expansion of 0 in im 0.092 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.092 * [taylor]: Taking taylor expansion of 1/2 in im 0.092 * [taylor]: Taking taylor expansion of im in im 0.094 * [taylor]: Taking taylor expansion of 0 in im 0.095 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.095 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.095 * [taylor]: Taking taylor expansion of im in im 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.095 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.095 * [taylor]: Taking taylor expansion of re in im 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.098 * [taylor]: Taking taylor expansion of im in re 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.098 * [taylor]: Taking taylor expansion of re in re 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.101 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.101 * [taylor]: Taking taylor expansion of im in re 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.101 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.101 * [taylor]: Taking taylor expansion of re in re 0.104 * [taylor]: Taking taylor expansion of 1 in im 0.104 * [taylor]: Taking taylor expansion of 0 in im 0.106 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.106 * [taylor]: Taking taylor expansion of 1/2 in im 0.106 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.106 * [taylor]: Taking taylor expansion of im in im 0.109 * [taylor]: Taking taylor expansion of 0 in im 0.115 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.116 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.116 * [taylor]: Taking taylor expansion of im in im 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.116 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.116 * [taylor]: Taking taylor expansion of re in im 0.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.119 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.119 * [taylor]: Taking taylor expansion of im in re 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.119 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.119 * [taylor]: Taking taylor expansion of re in re 0.121 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.122 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.122 * [taylor]: Taking taylor expansion of im in re 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.122 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.122 * [taylor]: Taking taylor expansion of re in re 0.124 * [taylor]: Taking taylor expansion of 1 in im 0.124 * [taylor]: Taking taylor expansion of 0 in im 0.127 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.127 * [taylor]: Taking taylor expansion of 1/2 in im 0.127 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.127 * [taylor]: Taking taylor expansion of im in im 0.130 * [taylor]: Taking taylor expansion of 0 in im 0.131 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.132 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.132 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.132 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.132 * [taylor]: Taking taylor expansion of re in im 0.132 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.132 * [taylor]: Taking taylor expansion of im in im 0.132 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.132 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.132 * [taylor]: Taking taylor expansion of re in re 0.132 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.132 * [taylor]: Taking taylor expansion of im in re 0.132 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.132 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.132 * [taylor]: Taking taylor expansion of re in re 0.132 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.132 * [taylor]: Taking taylor expansion of im in re 0.132 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.132 * [taylor]: Taking taylor expansion of im in im 0.132 * [taylor]: Taking taylor expansion of 0 in im 0.133 * [taylor]: Taking taylor expansion of 1 in im 0.135 * [taylor]: Taking taylor expansion of 0 in im 0.137 * [taylor]: Taking taylor expansion of 0 in im 0.137 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.137 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.137 * [taylor]: Taking taylor expansion of im in im 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.138 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.138 * [taylor]: Taking taylor expansion of re in im 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.138 * [taylor]: Taking taylor expansion of im in re 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.138 * [taylor]: Taking taylor expansion of re in re 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.139 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.139 * [taylor]: Taking taylor expansion of im in re 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.139 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.139 * [taylor]: Taking taylor expansion of re in re 0.140 * [taylor]: Taking taylor expansion of 1 in im 0.141 * [taylor]: Taking taylor expansion of 0 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 0.144 * [taylor]: Taking taylor expansion of 0 in im 0.147 * [taylor]: Taking taylor expansion of 0 in im 0.149 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 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 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.150 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.150 * [taylor]: Taking taylor expansion of re in im 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.150 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.150 * [taylor]: Taking taylor expansion of im in re 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.150 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.150 * [taylor]: Taking taylor expansion of re in re 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.151 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.151 * [taylor]: Taking taylor expansion of im in re 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.151 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.151 * [taylor]: Taking taylor expansion of re in re 0.152 * [taylor]: Taking taylor expansion of 1 in im 0.153 * [taylor]: Taking taylor expansion of 0 in im 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.154 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.154 * [taylor]: Taking taylor expansion of im in im 0.156 * [taylor]: Taking taylor expansion of 0 in im 0.159 * [taylor]: Taking taylor expansion of 0 in im 0.161 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.161 * [approximate]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.161 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in im 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.161 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.161 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.161 * [taylor]: Taking taylor expansion of re in im 0.161 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.161 * [taylor]: Taking taylor expansion of im in im 0.161 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.161 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.162 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.162 * [taylor]: Taking taylor expansion of re in re 0.162 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.162 * [taylor]: Taking taylor expansion of im in re 0.162 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re 0.162 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.162 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.162 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.162 * [taylor]: Taking taylor expansion of re in re 0.162 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.162 * [taylor]: Taking taylor expansion of im in re 0.163 * [taylor]: Taking taylor expansion of (log im) in im 0.163 * [taylor]: Taking taylor expansion of im in im 0.164 * [taylor]: Taking taylor expansion of 0 in im 0.167 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.167 * [taylor]: Taking taylor expansion of 1/2 in im 0.167 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.167 * [taylor]: Taking taylor expansion of im in im 0.174 * [taylor]: Taking taylor expansion of 0 in im 0.174 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.174 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.174 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.174 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.175 * [taylor]: Taking taylor expansion of im in im 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.175 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.175 * [taylor]: Taking taylor expansion of re in im 0.178 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.178 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.178 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.178 * [taylor]: Taking taylor expansion of im in re 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.178 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.178 * [taylor]: Taking taylor expansion of re in re 0.181 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.181 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.181 * [taylor]: Taking taylor expansion of im in re 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.181 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.181 * [taylor]: Taking taylor expansion of re in re 0.184 * [taylor]: Taking taylor expansion of (- (log re)) in im 0.184 * [taylor]: Taking taylor expansion of (log re) in im 0.184 * [taylor]: Taking taylor expansion of re in im 0.185 * [taylor]: Taking taylor expansion of 0 in im 0.189 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.189 * [taylor]: Taking taylor expansion of 1/2 in im 0.189 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.189 * [taylor]: Taking taylor expansion of im in im 0.202 * [taylor]: Taking taylor expansion of 0 in im 0.202 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.202 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.202 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.202 * [taylor]: Taking taylor expansion of im in im 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.203 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.203 * [taylor]: Taking taylor expansion of re in im 0.205 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.205 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.205 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.205 * [taylor]: Taking taylor expansion of im in re 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.205 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.205 * [taylor]: Taking taylor expansion of re in re 0.208 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.208 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.208 * [taylor]: Taking taylor expansion of im in re 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.209 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.209 * [taylor]: Taking taylor expansion of re in re 0.212 * [taylor]: Taking taylor expansion of (- (log re)) in im 0.212 * [taylor]: Taking taylor expansion of (log re) in im 0.212 * [taylor]: Taking taylor expansion of re in im 0.213 * [taylor]: Taking taylor expansion of 0 in im 0.217 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.217 * [taylor]: Taking taylor expansion of 1/2 in im 0.217 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.217 * [taylor]: Taking taylor expansion of im in im 0.225 * [taylor]: Taking taylor expansion of 0 in im 0.226 * * * [progress]: simplifying candidates 0.227 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (* 1 1)) (sqrt (+ (* re re) (* im im))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (expm1 (log (sqrt (+ (* re re) (* im im))))) (log1p (log (sqrt (+ (* re re) (* im im))))) (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (log (cbrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (log (sqrt (cbrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt 1)) (log (sqrt (+ (* re re) (* im im)))) (log (sqrt 1)) (log (sqrt (+ (* re re) (* im im)))) (log (sqrt 1)) (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 1 1))) (log (sqrt (+ (* re re) (* im im)))) (log (sqrt 1)) (log (sqrt (+ (* re re) (* im im)))) (log (sqrt 1)) (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))) (log 1) (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (log (sqrt (- (* re re) (* im im)))) (log (+ (* re re) (* im im))) (log (sqrt (+ (* re re) (* im im)))) (log (+ (* re re) (* im im))) (log (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im))))) (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))) (cbrt (log (sqrt (+ (* re re) (* im im))))) (* (* (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im))))) (sqrt (log (sqrt (+ (* re re) (* im im))))) (sqrt (log (sqrt (+ (* re re) (* im im))))) im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (log im) (- (log (/ 1 re))) (- (log (/ -1 re))) 0.231 * * [simplify]: iteration 0 : 168 enodes (cost 414 ) 0.234 * * [simplify]: iteration 1 : 607 enodes (cost 375 ) 0.243 * * [simplify]: iteration 2 : 1830 enodes (cost 370 ) 0.279 * * [simplify]: iteration 3 : 5001 enodes (cost 368 ) 0.281 * [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) 1 (hypot re im) 1 (hypot re im) 1 (hypot re im) 1 (hypot re im) 1 (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (hypot re im) 6) (hypot re im) (hypot re im) (fma im (pow im 5) (pow re 6)) (fma im (- (pow im 3) (* (pow re 2) im)) (pow re 4)) (fma (- (pow im 3)) im (pow re 4)) (- (* re re) (* im im)) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) (expm1 (log (sqrt (+ (* re re) (* im im))))) (log1p (log (sqrt (+ (* re re) (* im im))))) (* 2 (log (cbrt (sqrt (+ (* re re) (* im im)))))) (log (cbrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (log (sqrt (cbrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))) 0 (log (sqrt (+ (* re re) (* im im)))) 0 (log (sqrt (+ (* re re) (* im im)))) 0 (log (sqrt (+ (* re re) (* im im)))) 0 (log (sqrt (+ (* re re) (* im im)))) 0 (log (sqrt (+ (* re re) (* im im)))) 0 (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))) 0 (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (log (sqrt (- (* re re) (* im im)))) (log (+ (* re re) (* im im))) (log (sqrt (+ (* re re) (* im im)))) (log (+ (* re re) (* im im))) (log (log (sqrt (+ (* re re) (* im im))))) (hypot re im) (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))) (cbrt (log (sqrt (+ (* re re) (* im im))))) (pow (log (sqrt (+ (* re re) (* im im)))) 3) (sqrt (log (sqrt (+ (* re re) (* im im))))) (sqrt (log (sqrt (+ (* re re) (* im im))))) im re (* -1 re) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) (log im) (log re) (- (log (/ -1 re))) 0.282 * * * [progress]: adding candidates to table 0.432 * * [progress]: iteration 2 / 4 0.432 * * * [progress]: picking best candidate 0.433 * * * * [pick]: Picked # 0.433 * * * [progress]: localizing error 0.438 * * * [progress]: generating rewritten candidates 0.438 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.438 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.440 * * * [progress]: generating series expansions 0.440 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.440 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.440 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.440 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.440 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.440 * [taylor]: Taking taylor expansion of (* re re) in im 0.440 * [taylor]: Taking taylor expansion of re in im 0.440 * [taylor]: Taking taylor expansion of re in im 0.440 * [taylor]: Taking taylor expansion of (* im im) in im 0.440 * [taylor]: Taking taylor expansion of im in im 0.440 * [taylor]: Taking taylor expansion of im in im 0.442 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.442 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.442 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.442 * [taylor]: Taking taylor expansion of (* re re) in re 0.442 * [taylor]: Taking taylor expansion of re in re 0.442 * [taylor]: Taking taylor expansion of re in re 0.442 * [taylor]: Taking taylor expansion of (* im im) in re 0.442 * [taylor]: Taking taylor expansion of im in re 0.442 * [taylor]: Taking taylor expansion of im in re 0.443 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.443 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.443 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.443 * [taylor]: Taking taylor expansion of (* re re) in re 0.443 * [taylor]: Taking taylor expansion of re in re 0.443 * [taylor]: Taking taylor expansion of re in re 0.443 * [taylor]: Taking taylor expansion of (* im im) in re 0.443 * [taylor]: Taking taylor expansion of im in re 0.443 * [taylor]: Taking taylor expansion of im in re 0.445 * [taylor]: Taking taylor expansion of im in im 0.445 * [taylor]: Taking taylor expansion of 0 in im 0.446 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.446 * [taylor]: Taking taylor expansion of 1/2 in im 0.446 * [taylor]: Taking taylor expansion of im in im 0.449 * [taylor]: Taking taylor expansion of 0 in im 0.449 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.449 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.450 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.450 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.450 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.450 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.450 * [taylor]: Taking taylor expansion of re in im 0.450 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.450 * [taylor]: Taking taylor expansion of re in im 0.450 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.450 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.450 * [taylor]: Taking taylor expansion of im in im 0.450 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.450 * [taylor]: Taking taylor expansion of im in im 0.453 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.453 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.453 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.453 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.453 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.453 * [taylor]: Taking taylor expansion of re in re 0.454 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.454 * [taylor]: Taking taylor expansion of re in re 0.454 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.454 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.454 * [taylor]: Taking taylor expansion of im in re 0.454 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.454 * [taylor]: Taking taylor expansion of im in re 0.457 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.457 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.457 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.457 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.457 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.457 * [taylor]: Taking taylor expansion of re in re 0.457 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.457 * [taylor]: Taking taylor expansion of re in re 0.458 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.458 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.458 * [taylor]: Taking taylor expansion of im in re 0.458 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.458 * [taylor]: Taking taylor expansion of im in re 0.461 * [taylor]: Taking taylor expansion of 1 in im 0.461 * [taylor]: Taking taylor expansion of 0 in im 0.463 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.463 * [taylor]: Taking taylor expansion of 1/2 in im 0.463 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.463 * [taylor]: Taking taylor expansion of im in im 0.471 * [taylor]: Taking taylor expansion of 0 in im 0.472 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.472 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.472 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.472 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.472 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.472 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.472 * [taylor]: Taking taylor expansion of -1 in im 0.472 * [taylor]: Taking taylor expansion of re in im 0.472 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.472 * [taylor]: Taking taylor expansion of -1 in im 0.472 * [taylor]: Taking taylor expansion of re in im 0.472 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.472 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.472 * [taylor]: Taking taylor expansion of -1 in im 0.472 * [taylor]: Taking taylor expansion of im in im 0.473 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.473 * [taylor]: Taking taylor expansion of -1 in im 0.473 * [taylor]: Taking taylor expansion of im in im 0.476 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.476 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.476 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.476 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.476 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.476 * [taylor]: Taking taylor expansion of -1 in re 0.476 * [taylor]: Taking taylor expansion of re in re 0.476 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.476 * [taylor]: Taking taylor expansion of -1 in re 0.476 * [taylor]: Taking taylor expansion of re in re 0.477 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.477 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.477 * [taylor]: Taking taylor expansion of -1 in re 0.477 * [taylor]: Taking taylor expansion of im in re 0.477 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.477 * [taylor]: Taking taylor expansion of -1 in re 0.477 * [taylor]: Taking taylor expansion of im in re 0.480 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.480 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.480 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.480 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.480 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.480 * [taylor]: Taking taylor expansion of -1 in re 0.480 * [taylor]: Taking taylor expansion of re in re 0.481 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.481 * [taylor]: Taking taylor expansion of -1 in re 0.481 * [taylor]: Taking taylor expansion of re in re 0.481 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.481 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.481 * [taylor]: Taking taylor expansion of -1 in re 0.481 * [taylor]: Taking taylor expansion of im in re 0.481 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.481 * [taylor]: Taking taylor expansion of -1 in re 0.481 * [taylor]: Taking taylor expansion of im in re 0.484 * [taylor]: Taking taylor expansion of 1 in im 0.484 * [taylor]: Taking taylor expansion of 0 in im 0.487 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.487 * [taylor]: Taking taylor expansion of 1/2 in im 0.487 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.487 * [taylor]: Taking taylor expansion of im in im 0.491 * [taylor]: Taking taylor expansion of 0 in im 0.492 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.493 * [approximate]: Taking taylor expansion of (log (hypot re im)) in (re im) around 0 0.493 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 0.493 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.493 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.493 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.493 * [taylor]: Taking taylor expansion of (* re re) in im 0.493 * [taylor]: Taking taylor expansion of re in im 0.493 * [taylor]: Taking taylor expansion of re in im 0.493 * [taylor]: Taking taylor expansion of (* im im) in im 0.493 * [taylor]: Taking taylor expansion of im in im 0.493 * [taylor]: Taking taylor expansion of im in im 0.494 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 0.494 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.494 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.494 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.494 * [taylor]: Taking taylor expansion of (* re re) in re 0.494 * [taylor]: Taking taylor expansion of re in re 0.494 * [taylor]: Taking taylor expansion of re in re 0.494 * [taylor]: Taking taylor expansion of (* im im) in re 0.494 * [taylor]: Taking taylor expansion of im in re 0.494 * [taylor]: Taking taylor expansion of im in re 0.495 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 0.496 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.496 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.496 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.496 * [taylor]: Taking taylor expansion of (* re re) in re 0.496 * [taylor]: Taking taylor expansion of re in re 0.496 * [taylor]: Taking taylor expansion of re in re 0.496 * [taylor]: Taking taylor expansion of (* im im) in re 0.496 * [taylor]: Taking taylor expansion of im in re 0.496 * [taylor]: Taking taylor expansion of im in re 0.497 * [taylor]: Taking taylor expansion of (log im) in im 0.497 * [taylor]: Taking taylor expansion of im in im 0.498 * [taylor]: Taking taylor expansion of 0 in im 0.501 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.501 * [taylor]: Taking taylor expansion of 1/2 in im 0.501 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.501 * [taylor]: Taking taylor expansion of im in im 0.509 * [taylor]: Taking taylor expansion of 0 in im 0.509 * [approximate]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.509 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 0.509 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.509 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.509 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.509 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.509 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.509 * [taylor]: Taking taylor expansion of re in im 0.509 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.509 * [taylor]: Taking taylor expansion of re in im 0.509 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.509 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.509 * [taylor]: Taking taylor expansion of im in im 0.510 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.510 * [taylor]: Taking taylor expansion of im in im 0.513 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 0.513 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.513 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.513 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.513 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.513 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.513 * [taylor]: Taking taylor expansion of re in re 0.513 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.513 * [taylor]: Taking taylor expansion of re in re 0.514 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.514 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.514 * [taylor]: Taking taylor expansion of im in re 0.514 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.514 * [taylor]: Taking taylor expansion of im in re 0.517 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 0.517 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.517 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.517 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.517 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.517 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.517 * [taylor]: Taking taylor expansion of re in re 0.517 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.517 * [taylor]: Taking taylor expansion of re in re 0.518 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.518 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.518 * [taylor]: Taking taylor expansion of im in re 0.518 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.518 * [taylor]: Taking taylor expansion of im in re 0.521 * [taylor]: Taking taylor expansion of (- (log re)) in im 0.521 * [taylor]: Taking taylor expansion of (log re) in im 0.521 * [taylor]: Taking taylor expansion of re in im 0.522 * [taylor]: Taking taylor expansion of 0 in im 0.527 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.527 * [taylor]: Taking taylor expansion of 1/2 in im 0.527 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.527 * [taylor]: Taking taylor expansion of im in im 0.535 * [taylor]: Taking taylor expansion of 0 in im 0.536 * [approximate]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 0.536 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 0.536 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.536 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.536 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.536 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.536 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.536 * [taylor]: Taking taylor expansion of -1 in im 0.536 * [taylor]: Taking taylor expansion of re in im 0.536 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.536 * [taylor]: Taking taylor expansion of -1 in im 0.536 * [taylor]: Taking taylor expansion of re in im 0.536 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.536 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.536 * [taylor]: Taking taylor expansion of -1 in im 0.536 * [taylor]: Taking taylor expansion of im in im 0.536 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.536 * [taylor]: Taking taylor expansion of -1 in im 0.536 * [taylor]: Taking taylor expansion of im in im 0.540 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 0.540 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.540 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.540 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.540 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.540 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.540 * [taylor]: Taking taylor expansion of -1 in re 0.540 * [taylor]: Taking taylor expansion of re in re 0.540 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.540 * [taylor]: Taking taylor expansion of -1 in re 0.540 * [taylor]: Taking taylor expansion of re in re 0.540 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.540 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.540 * [taylor]: Taking taylor expansion of -1 in re 0.541 * [taylor]: Taking taylor expansion of im in re 0.541 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.541 * [taylor]: Taking taylor expansion of -1 in re 0.541 * [taylor]: Taking taylor expansion of im in re 0.544 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 0.544 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.544 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.544 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.544 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.544 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.544 * [taylor]: Taking taylor expansion of -1 in re 0.544 * [taylor]: Taking taylor expansion of re in re 0.544 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.544 * [taylor]: Taking taylor expansion of -1 in re 0.544 * [taylor]: Taking taylor expansion of re in re 0.545 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.545 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.545 * [taylor]: Taking taylor expansion of -1 in re 0.545 * [taylor]: Taking taylor expansion of im in re 0.545 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.545 * [taylor]: Taking taylor expansion of -1 in re 0.545 * [taylor]: Taking taylor expansion of im in re 0.548 * [taylor]: Taking taylor expansion of (- (log re)) in im 0.548 * [taylor]: Taking taylor expansion of (log re) in im 0.548 * [taylor]: Taking taylor expansion of re in im 0.554 * [taylor]: Taking taylor expansion of 0 in im 0.559 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.559 * [taylor]: Taking taylor expansion of 1/2 in im 0.559 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.559 * [taylor]: Taking taylor expansion of im in im 0.567 * [taylor]: Taking taylor expansion of 0 in im 0.567 * * * [progress]: simplifying candidates 0.568 * [simplify]: Simplifying using # : (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (log (hypot re im))) (log1p (log (hypot re im))) (log (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (log (cbrt (hypot re im))) (log (sqrt (hypot re im))) (log (sqrt (hypot re im))) (log 1) (log (hypot re im)) (log (hypot re im)) (log (log (hypot re im))) (exp (log (hypot re im))) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (cbrt (log (hypot re im))) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (sqrt (log (hypot re im))) (sqrt (log (hypot re im))) im re (* -1 re) (log im) (- (log (/ 1 re))) (- (log (/ -1 re))) 0.571 * * [simplify]: iteration 0 : 52 enodes (cost 88 ) 0.572 * * [simplify]: iteration 1 : 67 enodes (cost 75 ) 0.574 * * [simplify]: iteration 2 : 94 enodes (cost 75 ) 0.575 * * [simplify]: iteration 3 : 138 enodes (cost 75 ) 0.578 * * [simplify]: iteration 4 : 282 enodes (cost 75 ) 0.582 * * [simplify]: iteration 5 : 581 enodes (cost 75 ) 0.610 * * [simplify]: iteration 6 : 5001 enodes (cost 75 ) 0.611 * [simplify]: Simplified to: (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (log (hypot re im))) (log1p (log (hypot re im))) (* 2 (log (cbrt (hypot re im)))) (log (cbrt (hypot re im))) (log (sqrt (hypot re im))) (log (sqrt (hypot re im))) 0 (log (hypot re im)) (log (hypot re im)) (log (log (hypot re im))) (hypot re im) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (cbrt (log (hypot re im))) (pow (log (hypot re im)) 3) (sqrt (log (hypot re im))) (sqrt (log (hypot re im))) im re (* -1 re) (log im) (log re) (- (log (/ -1 re))) 0.612 * * * [progress]: adding candidates to table 0.659 * [progress]: [Phase 3 of 3] Extracting. 0.661 * [simplify]: Simplifying using # : (log (hypot re im)) 0.662 * * [simplify]: iteration 0 : 4 enodes (cost 2 ) 0.662 * [simplify]: Simplified to: (log (hypot re im)) 1.118 * [regime-testing]: End program error score: 0