5.636 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying: (sqrt (+ (* re re) (* im im))) 0.029 * * [simplify]: Extracting # 0 : cost 0 0.029 * * [simplify]: Extracting # 1 : cost 0 0.029 * * [simplify]: Extracting # 2 : cost 0 0.029 * * [simplify]: Extracting # 3 : cost 0 0.029 * * [simplify]: Extracting # 4 : cost 0 0.029 * * [simplify]: Extracting # 5 : cost 0 0.029 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.031 * * [simplify]: Extracting # 0 : cost 0 0.031 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 0.033 * * [simplify]: Extracting # 0 : cost 0 0.033 * * [simplify]: iteration done: 7 enodes (cost 8 ) 0.033 * [simplify]: Simplified to: (sqrt (+ (* re re) (* im im))) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.054 * * * [progress]: generating rewritten candidates 0.055 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.071 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.104 * * * [progress]: generating series expansions 0.104 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.105 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.105 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.105 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.105 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.105 * [backup-simplify]: Simplify re into re 0.105 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.105 * [taylor]: Taking taylor expansion of im in im 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.106 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.106 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.106 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.107 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.107 * [taylor]: Taking taylor expansion of im in re 0.107 * [backup-simplify]: Simplify im into im 0.107 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.107 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.107 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.108 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.108 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.108 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.108 * [taylor]: Taking taylor expansion of re in re 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.109 * [taylor]: Taking taylor expansion of im in re 0.109 * [backup-simplify]: Simplify im into im 0.109 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.109 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.109 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.109 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.110 * [taylor]: Taking taylor expansion of im in im 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [taylor]: Taking taylor expansion of 0 in im 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (* 1 1) into 1 0.111 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.111 * [backup-simplify]: Simplify (+ 1 0) into 1 0.112 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.112 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.112 * [taylor]: Taking taylor expansion of 1/2 in im 0.112 * [backup-simplify]: Simplify 1/2 into 1/2 0.112 * [taylor]: Taking taylor expansion of im in im 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.115 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.115 * [taylor]: Taking taylor expansion of 0 in im 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.117 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.117 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.117 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.117 * [taylor]: Taking taylor expansion of im in im 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (* 1 1) into 1 0.118 * [backup-simplify]: Simplify (/ 1 1) into 1 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.118 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.118 * [taylor]: Taking taylor expansion of re in im 0.118 * [backup-simplify]: Simplify re into re 0.118 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.118 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.118 * [backup-simplify]: Simplify (+ 1 0) into 1 0.119 * [backup-simplify]: Simplify (sqrt 1) into 1 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 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 0.121 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.121 * [taylor]: Taking taylor expansion of im in re 0.121 * [backup-simplify]: Simplify im into im 0.121 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.122 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 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 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (* 1 1) into 1 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 0.123 * [backup-simplify]: Simplify (+ 0 1) into 1 0.123 * [backup-simplify]: Simplify (sqrt 1) into 1 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.126 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.126 * [taylor]: Taking taylor expansion of im in re 0.126 * [backup-simplify]: Simplify im into im 0.126 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.126 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.126 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.126 * [taylor]: Taking taylor expansion of re in re 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (* 1 1) into 1 0.127 * [backup-simplify]: Simplify (/ 1 1) into 1 0.127 * [backup-simplify]: Simplify (+ 0 1) into 1 0.128 * [backup-simplify]: Simplify (sqrt 1) into 1 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.130 * [taylor]: Taking taylor expansion of 1 in im 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [taylor]: Taking taylor expansion of 0 in im 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.134 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.134 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.134 * [taylor]: Taking taylor expansion of 1/2 in im 0.134 * [backup-simplify]: Simplify 1/2 into 1/2 0.134 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.134 * [taylor]: Taking taylor expansion of im in im 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (* 1 1) into 1 0.135 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.139 * [taylor]: Taking taylor expansion of 0 in im 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.142 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.142 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 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 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (* 1 1) into 1 0.143 * [backup-simplify]: Simplify (/ 1 1) into 1 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.143 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.143 * [taylor]: Taking taylor expansion of re in im 0.143 * [backup-simplify]: Simplify re into re 0.143 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.143 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.144 * [backup-simplify]: Simplify (+ 1 0) into 1 0.144 * [backup-simplify]: Simplify (sqrt 1) into 1 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.146 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.146 * [taylor]: Taking taylor expansion of im in re 0.146 * [backup-simplify]: Simplify im into im 0.146 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.147 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.147 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.147 * [taylor]: Taking taylor expansion of re in re 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (* 1 1) into 1 0.147 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [backup-simplify]: Simplify (+ 0 1) into 1 0.148 * [backup-simplify]: Simplify (sqrt 1) into 1 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 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 * [backup-simplify]: Simplify im into im 0.151 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.151 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 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 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [backup-simplify]: Simplify (+ 0 1) into 1 0.153 * [backup-simplify]: Simplify (sqrt 1) into 1 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.155 * [taylor]: Taking taylor expansion of 1 in im 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [taylor]: Taking taylor expansion of 0 in im 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.158 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.158 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.158 * [taylor]: Taking taylor expansion of 1/2 in im 0.158 * [backup-simplify]: Simplify 1/2 into 1/2 0.158 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.158 * [taylor]: Taking taylor expansion of im in im 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (* 1 1) into 1 0.159 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.164 * [taylor]: Taking taylor expansion of 0 in im 0.164 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.167 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.168 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.168 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.168 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.168 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.168 * [taylor]: Taking taylor expansion of re in im 0.168 * [backup-simplify]: Simplify re into re 0.168 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.168 * [taylor]: Taking taylor expansion of im in im 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.168 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.168 * [taylor]: Taking taylor expansion of re in re 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.168 * [taylor]: Taking taylor expansion of im in re 0.168 * [backup-simplify]: Simplify im into im 0.168 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.168 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.168 * [taylor]: Taking taylor expansion of re in re 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.168 * [taylor]: Taking taylor expansion of im in re 0.168 * [backup-simplify]: Simplify im into im 0.169 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.169 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.169 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.169 * [taylor]: Taking taylor expansion of im in im 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [taylor]: Taking taylor expansion of 0 in im 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (* 1 1) into 1 0.173 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.174 * [backup-simplify]: Simplify (+ 1 0) into 1 0.174 * [taylor]: Taking taylor expansion of 1 in im 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (* 1 1) into 1 0.174 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.176 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [taylor]: Taking taylor expansion of 0 in im 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.180 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [taylor]: Taking taylor expansion of 0 in im 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.182 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.182 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.182 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.182 * [taylor]: Taking taylor expansion of im in im 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (* 1 1) into 1 0.183 * [backup-simplify]: Simplify (/ 1 1) into 1 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.184 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.184 * [taylor]: Taking taylor expansion of re in im 0.184 * [backup-simplify]: Simplify re into re 0.184 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.184 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.184 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.184 * [taylor]: Taking taylor expansion of im in re 0.184 * [backup-simplify]: Simplify im into im 0.184 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.184 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.185 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.185 * [taylor]: Taking taylor expansion of re in re 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (* 1 1) into 1 0.186 * [backup-simplify]: Simplify (/ 1 1) into 1 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.186 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.186 * [taylor]: Taking taylor expansion of im in re 0.186 * [backup-simplify]: Simplify im into im 0.186 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.186 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.186 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.186 * [taylor]: Taking taylor expansion of re in re 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (* 1 1) into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.188 * [backup-simplify]: Simplify (+ 0 1) into 1 0.188 * [taylor]: Taking taylor expansion of 1 in im 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [taylor]: Taking taylor expansion of 0 in im 0.189 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.191 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.191 * [taylor]: Taking taylor expansion of im in im 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (* 1 1) into 1 0.192 * [backup-simplify]: Simplify (/ 1 1) into 1 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [taylor]: Taking taylor expansion of 0 in im 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [taylor]: Taking taylor expansion of 0 in im 0.199 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.202 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.202 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 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 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (* 1 1) into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 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 0.203 * [backup-simplify]: Simplify re into re 0.203 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.203 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.204 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.204 * [taylor]: Taking taylor expansion of im in re 0.204 * [backup-simplify]: Simplify im into im 0.204 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.204 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.204 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.204 * [taylor]: Taking taylor expansion of re in re 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (* 1 1) into 1 0.205 * [backup-simplify]: Simplify (/ 1 1) into 1 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 * [backup-simplify]: Simplify im into im 0.205 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.205 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 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 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (* 1 1) into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [backup-simplify]: Simplify (+ 0 1) into 1 0.207 * [taylor]: Taking taylor expansion of 1 in im 0.207 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.209 * [taylor]: Taking taylor expansion of 0 in im 0.209 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.211 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.211 * [taylor]: Taking taylor expansion of im in im 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (* 1 1) into 1 0.212 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (+ 0 0) into 0 0.215 * [taylor]: Taking taylor expansion of 0 in im 0.215 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [taylor]: Taking taylor expansion of 0 in im 0.220 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.222 * * * [progress]: simplifying candidates 0.223 * [simplify]: Simplifying: (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)))) (* (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)) im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.224 * * [simplify]: Extracting # 0 : cost 0 0.224 * * [simplify]: Extracting # 1 : cost 0 0.224 * * [simplify]: Extracting # 2 : cost 0 0.224 * * [simplify]: Extracting # 3 : cost 0 0.224 * * [simplify]: Extracting # 4 : cost 0 0.225 * * [simplify]: Extracting # 5 : cost 0 0.225 * * [simplify]: iteration 0 : 48 enodes (cost 379 ) 0.250 * * [simplify]: Extracting # 0 : cost 0 0.250 * * [simplify]: Extracting # 1 : cost 0 0.251 * * [simplify]: Extracting # 2 : cost 0 0.251 * * [simplify]: Extracting # 3 : cost 0 0.251 * * [simplify]: Extracting # 4 : cost 0 0.252 * * [simplify]: iteration 1 : 143 enodes (cost 347 ) 0.359 * * [simplify]: Extracting # 0 : cost 0 0.361 * * [simplify]: Extracting # 1 : cost 0 0.362 * * [simplify]: Extracting # 2 : cost 0 0.364 * * [simplify]: Extracting # 3 : cost 0 0.370 * * [simplify]: Extracting # 4 : cost 0 0.371 * * [simplify]: iteration 2 : 758 enodes (cost 295 ) 0.860 * * [simplify]: Extracting # 0 : cost 0 0.880 * * [simplify]: Extracting # 1 : cost 0 0.893 * * [simplify]: Extracting # 2 : cost 0 0.905 * * [simplify]: Extracting # 3 : cost 0 0.918 * * [simplify]: Extracting # 4 : cost 0 0.936 * * [simplify]: iteration done: 5000 enodes (cost 295 ) 0.936 * [simplify]: Simplified to: (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 (sqrt (+ (* re re) (* im 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 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* 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 (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow im 6) (pow re 6)) (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) im re (- re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 0.936 * * * [progress]: adding candidates to table 1.123 * * [progress]: iteration 2 / 4 1.123 * * * [progress]: picking best candidate 1.134 * * * * [pick]: Picked # 1.134 * * * [progress]: localizing error 1.136 * * * [progress]: generating rewritten candidates 1.136 * * * [progress]: generating series expansions 1.136 * * * [progress]: simplifying candidates 1.136 * [simplify]: Simplifying: 1.136 * * [simplify]: Extracting # 0 : cost 0 1.136 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.136 * * [simplify]: Extracting # 0 : cost 0 1.136 * * [simplify]: iteration done: 0 enodes (cost 0 ) 1.136 * [simplify]: Simplified to: 1.136 * * * [progress]: adding candidates to table 1.137 * * [progress]: iteration 3 / 4 1.137 * * * [progress]: picking best candidate 1.144 * * * * [pick]: Picked # 1.144 * * * [progress]: localizing error 1.148 * * * [progress]: generating rewritten candidates 1.149 * * * [progress]: generating series expansions 1.149 * * * [progress]: simplifying candidates 1.149 * [simplify]: Simplifying: 1.149 * * [simplify]: Extracting # 0 : cost 0 1.149 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.149 * * [simplify]: Extracting # 0 : cost 0 1.149 * * [simplify]: iteration done: 0 enodes (cost 0 ) 1.149 * [simplify]: Simplified to: 1.149 * * * [progress]: adding candidates to table 1.150 * * [progress]: iteration 4 / 4 1.150 * * * [progress]: picking best candidate 1.153 * * * * [pick]: Picked # 1.153 * * * [progress]: localizing error 1.155 * * * [progress]: generating rewritten candidates 1.155 * * * [progress]: generating series expansions 1.155 * * * [progress]: simplifying candidates 1.155 * [simplify]: Simplifying: 1.155 * * [simplify]: Extracting # 0 : cost 0 1.155 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.155 * * [simplify]: Extracting # 0 : cost 0 1.155 * * [simplify]: iteration done: 0 enodes (cost 0 ) 1.155 * [simplify]: Simplified to: 1.155 * * * [progress]: adding candidates to table 1.156 * [progress]: [Phase 3 of 3] Extracting. 1.156 * * [regime]: Finding splitpoints for: (# # # #) 1.156 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 1.156 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 1.240 * * * * [regimes]: Trying to branch on (* im im) from (# # #) 1.308 * * * * [regimes]: Trying to branch on (* re re) from (# # # #) 1.366 * * * * [regimes]: Trying to branch on (* re re) from (# #) 1.418 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # #) 1.475 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # #) 1.541 * * * * [regimes]: Trying to branch on im from (# # # #) 1.642 * * * * [regimes]: Trying to branch on re from (# # # #) 1.724 * * * [regime]: Found split indices: #