2.351 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.031 * [simplify]: Sending expressions to egg_math: (* h3 (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) 0.033 * * [simplify]: iteration 0 : 17 enodes (cost 8 ) 0.034 * * [simplify]: iteration 1 : 24 enodes (cost 8 ) 0.035 * * [simplify]: iteration 2 : 30 enodes (cost 8 ) 0.037 * * [simplify]: iteration 3 : 35 enodes (cost 8 ) 0.038 * * [simplify]: iteration 4 : 35 enodes (cost 8 ) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.058 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.098 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.125 * * * [progress]: generating series expansions 0.125 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.125 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.125 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.125 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.125 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.125 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.125 * [taylor]: Taking taylor expansion of re in im 0.125 * [backup-simplify]: Simplify re into re 0.125 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.125 * [taylor]: Taking taylor expansion of im in im 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.125 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.125 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.125 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.126 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.126 * [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 (+ 0 (pow im 2)) into (pow im 2) 0.126 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.126 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.127 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.127 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.127 * [taylor]: Taking taylor expansion of re in re 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.127 * [taylor]: Taking taylor expansion of im in re 0.127 * [backup-simplify]: Simplify im into im 0.127 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.127 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.127 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.127 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.127 * [taylor]: Taking taylor expansion of im in im 0.127 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [taylor]: Taking taylor expansion of 0 in im 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (* 1 1) into 1 0.128 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.129 * [backup-simplify]: Simplify (+ 1 0) into 1 0.129 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.129 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.129 * [taylor]: Taking taylor expansion of 1/2 in im 0.129 * [backup-simplify]: Simplify 1/2 into 1/2 0.129 * [taylor]: Taking taylor expansion of im in im 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.131 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.131 * [taylor]: Taking taylor expansion of 0 in im 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.132 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.132 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.132 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.132 * [taylor]: Taking taylor expansion of im in im 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (* 1 1) into 1 0.133 * [backup-simplify]: Simplify (/ 1 1) into 1 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.133 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.133 * [taylor]: Taking taylor expansion of re in im 0.133 * [backup-simplify]: Simplify re into re 0.133 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.133 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.133 * [backup-simplify]: Simplify (+ 1 0) into 1 0.134 * [backup-simplify]: Simplify (sqrt 1) into 1 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.135 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.135 * [taylor]: Taking taylor expansion of im in re 0.135 * [backup-simplify]: Simplify im into im 0.135 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.135 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.135 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.135 * [taylor]: Taking taylor expansion of re in re 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [backup-simplify]: Simplify (+ 0 1) into 1 0.136 * [backup-simplify]: Simplify (sqrt 1) into 1 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.138 * [taylor]: Taking taylor expansion of im in re 0.138 * [backup-simplify]: Simplify im into im 0.138 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.138 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 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 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (* 1 1) into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [backup-simplify]: Simplify (+ 0 1) into 1 0.139 * [backup-simplify]: Simplify (sqrt 1) into 1 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.140 * [taylor]: Taking taylor expansion of 1 in im 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [taylor]: Taking taylor expansion of 0 in im 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.142 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.142 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.142 * [taylor]: Taking taylor expansion of 1/2 in im 0.142 * [backup-simplify]: Simplify 1/2 into 1/2 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 0.142 * [backup-simplify]: Simplify (* 1 1) into 1 0.143 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.145 * [taylor]: Taking taylor expansion of 0 in im 0.145 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.147 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.147 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.147 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.147 * [taylor]: Taking taylor expansion of im in im 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 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.147 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.147 * [taylor]: Taking taylor expansion of re in im 0.147 * [backup-simplify]: Simplify re into re 0.147 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.148 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.148 * [backup-simplify]: Simplify (+ 1 0) into 1 0.148 * [backup-simplify]: Simplify (sqrt 1) into 1 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.149 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.149 * [taylor]: Taking taylor expansion of im in re 0.149 * [backup-simplify]: Simplify im into im 0.150 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.150 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 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 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (* 1 1) into 1 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [backup-simplify]: Simplify (+ 0 1) into 1 0.151 * [backup-simplify]: Simplify (sqrt 1) into 1 0.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 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 * [backup-simplify]: Simplify im into im 0.152 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.152 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 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 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (* 1 1) into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [backup-simplify]: Simplify (+ 0 1) into 1 0.153 * [backup-simplify]: Simplify (sqrt 1) into 1 0.154 * [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 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.159 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.159 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.159 * [taylor]: Taking taylor expansion of 1/2 in im 0.160 * [backup-simplify]: Simplify 1/2 into 1/2 0.160 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.160 * [taylor]: Taking taylor expansion of im in im 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (* 1 1) into 1 0.160 * [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 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.163 * [taylor]: Taking taylor expansion of 0 in im 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.164 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.164 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.164 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.164 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.164 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.164 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.164 * [taylor]: Taking taylor expansion of re in im 0.164 * [backup-simplify]: Simplify re into re 0.164 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.164 * [taylor]: Taking taylor expansion of im in im 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.165 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.165 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.165 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.165 * [taylor]: Taking taylor expansion of re in im 0.165 * [backup-simplify]: Simplify re into re 0.165 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.165 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.165 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.165 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.165 * [taylor]: Taking taylor expansion of re in re 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.165 * [taylor]: Taking taylor expansion of im in re 0.165 * [backup-simplify]: Simplify im into im 0.165 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.165 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.165 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.165 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.166 * [taylor]: Taking taylor expansion of re in re 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.166 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.166 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.166 * [taylor]: Taking taylor expansion of re in re 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.166 * [taylor]: Taking taylor expansion of im in re 0.166 * [backup-simplify]: Simplify im into im 0.166 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.166 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.166 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.166 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.167 * [taylor]: Taking taylor expansion of re in re 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (- 0) into 0 0.167 * [backup-simplify]: Simplify (+ im 0) into im 0.167 * [taylor]: Taking taylor expansion of im in im 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (- 1) into -1 0.168 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.168 * [taylor]: Taking taylor expansion of -1 in im 0.168 * [backup-simplify]: Simplify -1 into -1 0.168 * [backup-simplify]: Simplify -1 into -1 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (* 1 1) into 1 0.168 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.169 * [backup-simplify]: Simplify (+ 1 0) into 1 0.169 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.169 * [backup-simplify]: Simplify (- 0) into 0 0.169 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.169 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.170 * [taylor]: Taking taylor expansion of 1/2 in im 0.170 * [backup-simplify]: Simplify 1/2 into 1/2 0.170 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.170 * [taylor]: Taking taylor expansion of im in im 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.171 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.172 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.172 * [backup-simplify]: Simplify (- 0) into 0 0.172 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [taylor]: Taking taylor expansion of 0 in im 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.174 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 0.174 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.174 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 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 0.174 * [taylor]: Taking taylor expansion of im in im 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (* 1 1) into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.174 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.174 * [taylor]: Taking taylor expansion of re in im 0.174 * [backup-simplify]: Simplify re into re 0.174 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.174 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.175 * [backup-simplify]: Simplify (+ 1 0) into 1 0.175 * [backup-simplify]: Simplify (sqrt 1) into 1 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.176 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.176 * [taylor]: Taking taylor expansion of re in im 0.176 * [backup-simplify]: Simplify re into re 0.176 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.176 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.176 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.176 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.176 * [taylor]: Taking taylor expansion of im in re 0.176 * [backup-simplify]: Simplify im into im 0.177 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.177 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.177 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.177 * [taylor]: Taking taylor expansion of re in re 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (* 1 1) into 1 0.177 * [backup-simplify]: Simplify (/ 1 1) into 1 0.177 * [backup-simplify]: Simplify (+ 0 1) into 1 0.178 * [backup-simplify]: Simplify (sqrt 1) into 1 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.179 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.179 * [taylor]: Taking taylor expansion of re in re 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (/ 1 1) into 1 0.179 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.179 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.179 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.179 * [taylor]: Taking taylor expansion of im in re 0.179 * [backup-simplify]: Simplify im into im 0.179 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.180 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.180 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.180 * [taylor]: Taking taylor expansion of re in re 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (* 1 1) into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [backup-simplify]: Simplify (+ 0 1) into 1 0.180 * [backup-simplify]: Simplify (sqrt 1) into 1 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.182 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.182 * [taylor]: Taking taylor expansion of re in re 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (/ 1 1) into 1 0.182 * [backup-simplify]: Simplify (- 1) into -1 0.183 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.183 * [taylor]: Taking taylor expansion of 0 in im 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (- 0) into 0 0.183 * [backup-simplify]: Simplify (+ 0 0) into 0 0.183 * [taylor]: Taking taylor expansion of 0 in im 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.185 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (- 0) into 0 0.186 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.186 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.186 * [taylor]: Taking taylor expansion of 1/2 in im 0.186 * [backup-simplify]: Simplify 1/2 into 1/2 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.186 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.186 * [taylor]: Taking taylor expansion of im in im 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 0.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (- 0) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.191 * [taylor]: Taking taylor expansion of 0 in im 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 0.193 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.193 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.193 * [taylor]: Taking taylor expansion of re in im 0.193 * [backup-simplify]: Simplify re into re 0.193 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.193 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.193 * [taylor]: Taking taylor expansion of im in im 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (* 1 1) into 1 0.193 * [backup-simplify]: Simplify (/ 1 1) into 1 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.193 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.193 * [taylor]: Taking taylor expansion of re in im 0.193 * [backup-simplify]: Simplify re into re 0.193 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.193 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.194 * [backup-simplify]: Simplify (+ 1 0) into 1 0.194 * [backup-simplify]: Simplify (sqrt 1) into 1 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.195 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.195 * [taylor]: Taking taylor expansion of re in re 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (/ 1 1) into 1 0.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.196 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.196 * [taylor]: Taking taylor expansion of im in re 0.196 * [backup-simplify]: Simplify im into im 0.196 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.196 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.196 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.196 * [taylor]: Taking taylor expansion of re in re 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (* 1 1) into 1 0.196 * [backup-simplify]: Simplify (/ 1 1) into 1 0.197 * [backup-simplify]: Simplify (+ 0 1) into 1 0.197 * [backup-simplify]: Simplify (sqrt 1) into 1 0.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.198 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.198 * [taylor]: Taking taylor expansion of re in re 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.199 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.199 * [taylor]: Taking taylor expansion of im in re 0.199 * [backup-simplify]: Simplify im into im 0.199 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.199 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.199 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.199 * [taylor]: Taking taylor expansion of re in re 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (* 1 1) into 1 0.199 * [backup-simplify]: Simplify (/ 1 1) into 1 0.199 * [backup-simplify]: Simplify (+ 0 1) into 1 0.200 * [backup-simplify]: Simplify (sqrt 1) into 1 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.201 * [backup-simplify]: Simplify (+ 1 1) into 2 0.201 * [taylor]: Taking taylor expansion of 2 in im 0.201 * [backup-simplify]: Simplify 2 into 2 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [taylor]: Taking taylor expansion of 0 in im 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 2 into 2 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.204 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.204 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.204 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.204 * [taylor]: Taking taylor expansion of 1/2 in im 0.204 * [backup-simplify]: Simplify 1/2 into 1/2 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 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (* 1 1) into 1 0.205 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.209 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 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 0.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.211 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.211 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 0.211 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.211 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.211 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.211 * [taylor]: Taking taylor expansion of 2.0 in im 0.211 * [backup-simplify]: Simplify 2.0 into 2.0 0.211 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.212 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.212 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.212 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.212 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.212 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.212 * [taylor]: Taking taylor expansion of re in im 0.212 * [backup-simplify]: Simplify re into re 0.212 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.212 * [taylor]: Taking taylor expansion of im in im 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.212 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.212 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.212 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.212 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.213 * [taylor]: Taking taylor expansion of re in im 0.213 * [backup-simplify]: Simplify re into re 0.213 * [backup-simplify]: Simplify (- re) into (- re) 0.213 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.213 * [backup-simplify]: Simplify (- 0) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.214 * [backup-simplify]: Simplify (* 1 1) into 1 0.214 * [backup-simplify]: Simplify (+ 0 1) into 1 0.214 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.214 * [backup-simplify]: Simplify (- 0) into 0 0.215 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.215 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.215 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.216 * [backup-simplify]: Simplify (- 0) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.216 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.217 * [taylor]: Taking taylor expansion of 2.0 in re 0.217 * [backup-simplify]: Simplify 2.0 into 2.0 0.217 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.217 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.217 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.217 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.217 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.217 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.217 * [taylor]: Taking taylor expansion of re in re 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.217 * [taylor]: Taking taylor expansion of im in re 0.217 * [backup-simplify]: Simplify im into im 0.217 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.218 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.218 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.218 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.218 * [taylor]: Taking taylor expansion of re in re 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (- 0) into 0 0.218 * [backup-simplify]: Simplify (+ im 0) into im 0.218 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.219 * [backup-simplify]: Simplify (- 1) into -1 0.219 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.219 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.219 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.219 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.219 * [taylor]: Taking taylor expansion of 2.0 in re 0.219 * [backup-simplify]: Simplify 2.0 into 2.0 0.219 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.220 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.220 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.220 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.220 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.220 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.220 * [taylor]: Taking taylor expansion of re in re 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.220 * [taylor]: Taking taylor expansion of im in re 0.220 * [backup-simplify]: Simplify im into im 0.220 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.220 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.220 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.220 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.220 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.220 * [taylor]: Taking taylor expansion of re in re 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (- 0) into 0 0.221 * [backup-simplify]: Simplify (+ im 0) into im 0.221 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.221 * [backup-simplify]: Simplify (- 1) into -1 0.221 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.221 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.221 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.221 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.222 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.222 * [taylor]: Taking taylor expansion of 2.0 in im 0.222 * [backup-simplify]: Simplify 2.0 into 2.0 0.222 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.222 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.222 * [taylor]: Taking taylor expansion of im in im 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (sqrt 0) into 0 0.223 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.225 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.225 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.226 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.226 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.226 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.226 * [taylor]: Taking taylor expansion of 1/2 in im 0.226 * [backup-simplify]: Simplify 1/2 into 1/2 0.226 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.226 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.226 * [taylor]: Taking taylor expansion of 2.0 in im 0.226 * [backup-simplify]: Simplify 2.0 into 2.0 0.226 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.227 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.227 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.227 * [taylor]: Taking taylor expansion of im in im 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.227 * [backup-simplify]: Simplify (sqrt 0) into 0 0.228 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.230 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.232 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.233 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.233 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.236 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.237 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.238 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.240 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.240 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.242 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.242 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.246 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0.246 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 0.246 * [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 0.246 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.246 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.246 * [taylor]: Taking taylor expansion of 2.0 in im 0.246 * [backup-simplify]: Simplify 2.0 into 2.0 0.246 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.247 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.247 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.247 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.247 * [taylor]: Taking taylor expansion of im in im 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (* 1 1) into 1 0.247 * [backup-simplify]: Simplify (/ 1 1) into 1 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.247 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.247 * [taylor]: Taking taylor expansion of re in im 0.247 * [backup-simplify]: Simplify re into re 0.247 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.247 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.248 * [backup-simplify]: Simplify (+ 1 0) into 1 0.248 * [backup-simplify]: Simplify (sqrt 1) into 1 0.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.249 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.249 * [taylor]: Taking taylor expansion of re in im 0.249 * [backup-simplify]: Simplify re into re 0.249 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.250 * [backup-simplify]: Simplify (+ 1 0) into 1 0.250 * [backup-simplify]: Simplify (sqrt 0) into 0 0.253 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.253 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.253 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.253 * [taylor]: Taking taylor expansion of 2.0 in re 0.253 * [backup-simplify]: Simplify 2.0 into 2.0 0.254 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.254 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.254 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.254 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.254 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.254 * [taylor]: Taking taylor expansion of im in re 0.254 * [backup-simplify]: Simplify im into im 0.254 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.254 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.254 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.254 * [taylor]: Taking taylor expansion of re in re 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (* 1 1) into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.255 * [backup-simplify]: Simplify (+ 0 1) into 1 0.255 * [backup-simplify]: Simplify (sqrt 1) into 1 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.257 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.257 * [taylor]: Taking taylor expansion of re in re 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [backup-simplify]: Simplify (- 1) into -1 0.257 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.260 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.261 * [backup-simplify]: Simplify (sqrt 0) into 0 0.261 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.261 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.261 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.262 * [taylor]: Taking taylor expansion of 2.0 in re 0.262 * [backup-simplify]: Simplify 2.0 into 2.0 0.262 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.262 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.262 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.262 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.262 * [taylor]: Taking taylor expansion of im in re 0.262 * [backup-simplify]: Simplify im into im 0.262 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.262 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.262 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.262 * [taylor]: Taking taylor expansion of re in re 0.262 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (* 1 1) into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [backup-simplify]: Simplify (+ 0 1) into 1 0.263 * [backup-simplify]: Simplify (sqrt 1) into 1 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.265 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.265 * [taylor]: Taking taylor expansion of re in re 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (/ 1 1) into 1 0.265 * [backup-simplify]: Simplify (- 1) into -1 0.266 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (- 0) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.269 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (- 0) into 0 0.269 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.270 * [backup-simplify]: Simplify (sqrt 0) into 0 0.270 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.270 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.270 * [taylor]: Taking taylor expansion of 0 in im 0.270 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.271 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.271 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.271 * [taylor]: Taking taylor expansion of +nan.0 in im 0.271 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.271 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.271 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.271 * [taylor]: Taking taylor expansion of 2.0 in im 0.271 * [backup-simplify]: Simplify 2.0 into 2.0 0.271 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.272 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.272 * [taylor]: Taking taylor expansion of im in im 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (* 1 1) into 1 0.273 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.274 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.278 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.279 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 0.279 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.279 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.279 * [taylor]: Taking taylor expansion of +nan.0 in im 0.279 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.279 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) 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 0.279 * [backup-simplify]: Simplify 2.0 into 2.0 0.279 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.279 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.280 * [taylor]: Taking taylor expansion of im in im 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (* 1 1) into 1 0.280 * [backup-simplify]: Simplify (* 1 1) into 1 0.281 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.281 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.282 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (- 0) into 0 0.293 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.294 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) 0.294 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.295 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 0.295 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.295 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.295 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.295 * [taylor]: Taking taylor expansion of +nan.0 in im 0.295 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.295 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) 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 0.295 * [backup-simplify]: Simplify 2.0 into 2.0 0.296 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.296 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.296 * [taylor]: Taking taylor expansion of im in im 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (* 1 1) into 1 0.297 * [backup-simplify]: Simplify (* 1 1) into 1 0.297 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.297 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.297 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.297 * [taylor]: Taking taylor expansion of +nan.0 in im 0.297 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.297 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.297 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.297 * [taylor]: Taking taylor expansion of 2.0 in im 0.297 * [backup-simplify]: Simplify 2.0 into 2.0 0.297 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.298 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.298 * [taylor]: Taking taylor expansion of im in im 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (* 1 1) into 1 0.298 * [backup-simplify]: Simplify (* 1 1) into 1 0.299 * [backup-simplify]: Simplify (* 1 1) into 1 0.299 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.300 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.300 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.306 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.307 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.307 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.308 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.320 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (- 0) into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) 0.321 * [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 0.321 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 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 * [backup-simplify]: Simplify 2.0 into 2.0 0.321 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.322 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.322 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.322 * [taylor]: Taking taylor expansion of re in im 0.322 * [backup-simplify]: Simplify re into re 0.322 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.322 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.322 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.322 * [taylor]: Taking taylor expansion of im in im 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (* 1 1) into 1 0.322 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.322 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.322 * [taylor]: Taking taylor expansion of re in im 0.322 * [backup-simplify]: Simplify re into re 0.323 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.323 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.323 * [backup-simplify]: Simplify (+ 1 0) into 1 0.323 * [backup-simplify]: Simplify (sqrt 1) into 1 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.325 * [backup-simplify]: Simplify (+ 0 1) into 1 0.325 * [backup-simplify]: Simplify (sqrt 0) into 0 0.326 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.326 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.326 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.326 * [taylor]: Taking taylor expansion of 2.0 in re 0.326 * [backup-simplify]: Simplify 2.0 into 2.0 0.326 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.326 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.327 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.327 * [taylor]: Taking taylor expansion of re in re 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.327 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.327 * [taylor]: Taking taylor expansion of im in re 0.327 * [backup-simplify]: Simplify im into im 0.327 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.327 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.327 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.327 * [taylor]: Taking taylor expansion of re in re 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (* 1 1) into 1 0.328 * [backup-simplify]: Simplify (/ 1 1) into 1 0.328 * [backup-simplify]: Simplify (+ 0 1) into 1 0.328 * [backup-simplify]: Simplify (sqrt 1) into 1 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.330 * [backup-simplify]: Simplify (+ 1 1) into 2 0.330 * [backup-simplify]: Simplify (sqrt 0) into 0 0.330 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.331 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.331 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.331 * [taylor]: Taking taylor expansion of 2.0 in re 0.331 * [backup-simplify]: Simplify 2.0 into 2.0 0.331 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.331 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.331 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.331 * [taylor]: Taking taylor expansion of re in re 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.332 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.332 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.332 * [taylor]: Taking taylor expansion of im in re 0.332 * [backup-simplify]: Simplify im into im 0.332 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.332 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.332 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.332 * [taylor]: Taking taylor expansion of re in re 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (* 1 1) into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [backup-simplify]: Simplify (+ 0 1) into 1 0.333 * [backup-simplify]: Simplify (sqrt 1) into 1 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.334 * [backup-simplify]: Simplify (+ 1 1) into 2 0.334 * [backup-simplify]: Simplify (sqrt 0) into 0 0.335 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.336 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.336 * [taylor]: Taking taylor expansion of 0 in im 0.336 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.337 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.337 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.337 * [taylor]: Taking taylor expansion of +nan.0 in im 0.337 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.337 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.337 * [taylor]: Taking taylor expansion of 2.0 in im 0.337 * [backup-simplify]: Simplify 2.0 into 2.0 0.337 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.343 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.344 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.344 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.344 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.344 * [taylor]: Taking taylor expansion of +nan.0 in im 0.344 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.344 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.344 * [taylor]: Taking taylor expansion of 2.0 in im 0.344 * [backup-simplify]: Simplify 2.0 into 2.0 0.345 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.346 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.346 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.347 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.347 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.350 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.350 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.351 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0.352 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.352 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 0.353 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.353 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.353 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.353 * [taylor]: Taking taylor expansion of +nan.0 in im 0.353 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.353 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.353 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.353 * [taylor]: Taking taylor expansion of 2.0 in im 0.353 * [backup-simplify]: Simplify 2.0 into 2.0 0.353 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.353 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.353 * [taylor]: Taking taylor expansion of im in im 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (* 1 1) into 1 0.354 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.354 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.354 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.354 * [taylor]: Taking taylor expansion of +nan.0 in im 0.354 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.354 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.354 * [taylor]: Taking taylor expansion of 2.0 in im 0.354 * [backup-simplify]: Simplify 2.0 into 2.0 0.354 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [backup-simplify]: Simplify (- 0) into 0 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.358 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.359 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.359 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.363 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0.364 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.365 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 0.365 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.365 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.365 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.365 * [taylor]: Taking taylor expansion of +nan.0 in im 0.365 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.365 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.365 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.365 * [taylor]: Taking taylor expansion of 2.0 in im 0.365 * [backup-simplify]: Simplify 2.0 into 2.0 0.366 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.366 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.366 * [taylor]: Taking taylor expansion of im in im 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify (* 1 1) into 1 0.367 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.367 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.367 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.367 * [taylor]: Taking taylor expansion of +nan.0 in im 0.367 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.367 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.367 * [taylor]: Taking taylor expansion of 2.0 in im 0.367 * [backup-simplify]: Simplify 2.0 into 2.0 0.368 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.370 * [backup-simplify]: Simplify (+ 0 0) into 0 0.370 * [backup-simplify]: Simplify (- 0) into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.373 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.373 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.375 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.376 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.377 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.380 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.380 * * * [progress]: simplifying candidates 0.380 * [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 (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) (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))))))) 0.381 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1)) (log (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (exp (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (* (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)) (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (+ (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (- h1) (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- h1) (log (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (exp (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (cbrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (cbrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (cbrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (* (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt h2) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (* h2 (- (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)))) (sqrt (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (+ (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h2 (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)))) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) h0 h1 (* -1 h1) (- h0 h1) 0 (* -2 h1) (- (+ (* h3 (* (sqrt h2) (pow h0 2))) (- (+ (* h3 (* (sqrt h2) h0)) (- (* h3 (* (sqrt h2) (* h0 h1)))))))) 0 (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (sqrt h2) (pow h1 2))) (- (* h3 (/ (sqrt h2) h1))))))) 0.384 * * [simplify]: iteration 0 : 232 enodes (cost 382 ) 0.388 * * [simplify]: iteration 1 : 768 enodes (cost 356 ) 0.401 * * [simplify]: iteration 2 : 2506 enodes (cost 346 ) 0.450 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.453 * * * [progress]: adding candidates to table 0.586 * * [progress]: iteration 2 / 4 0.586 * * * [progress]: picking best candidate 0.599 * * * * [pick]: Picked # 0.599 * * * [progress]: localizing error 0.612 * * * [progress]: generating rewritten candidates 0.612 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 1) 0.619 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 0.627 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 1) 0.667 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.706 * * * [progress]: generating series expansions 0.706 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 1) 0.706 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.706 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.706 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.706 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.706 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.706 * [taylor]: Taking taylor expansion of re in im 0.707 * [backup-simplify]: Simplify re into re 0.707 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.707 * [taylor]: Taking taylor expansion of im in im 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.707 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.707 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.707 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.707 * [backup-simplify]: Simplify (+ 0 0) into 0 0.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.707 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.707 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.707 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.707 * [taylor]: Taking taylor expansion of re in re 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 1 into 1 0.708 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.708 * [taylor]: Taking taylor expansion of im in re 0.708 * [backup-simplify]: Simplify im into im 0.708 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.708 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.708 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.708 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.708 * [backup-simplify]: Simplify (+ 0 0) into 0 0.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.708 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.708 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.708 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.708 * [taylor]: Taking taylor expansion of re in re 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 1 into 1 0.708 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.708 * [taylor]: Taking taylor expansion of im in re 0.708 * [backup-simplify]: Simplify im into im 0.708 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.708 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.709 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.709 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.709 * [backup-simplify]: Simplify (+ 0 0) into 0 0.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.709 * [taylor]: Taking taylor expansion of im in im 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [taylor]: Taking taylor expansion of 0 in im 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (* 1 1) into 1 0.710 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.710 * [backup-simplify]: Simplify (+ 1 0) into 1 0.710 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.710 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.710 * [taylor]: Taking taylor expansion of 1/2 in im 0.711 * [backup-simplify]: Simplify 1/2 into 1/2 0.711 * [taylor]: Taking taylor expansion of im in im 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 1 into 1 0.711 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.712 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.712 * [backup-simplify]: Simplify (+ 0 0) into 0 0.713 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.713 * [taylor]: Taking taylor expansion of 0 in im 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.713 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.713 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.713 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.713 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.713 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.713 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.714 * [taylor]: Taking taylor expansion of im in im 0.714 * [backup-simplify]: Simplify 0 into 0 0.714 * [backup-simplify]: Simplify 1 into 1 0.714 * [backup-simplify]: Simplify (* 1 1) into 1 0.714 * [backup-simplify]: Simplify (/ 1 1) into 1 0.714 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.714 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.714 * [taylor]: Taking taylor expansion of re in im 0.714 * [backup-simplify]: Simplify re into re 0.714 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.714 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.714 * [backup-simplify]: Simplify (+ 1 0) into 1 0.715 * [backup-simplify]: Simplify (sqrt 1) into 1 0.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.716 * [backup-simplify]: Simplify (+ 0 0) into 0 0.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.716 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.716 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.716 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.716 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.716 * [taylor]: Taking taylor expansion of im in re 0.716 * [backup-simplify]: Simplify im into im 0.716 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.716 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.716 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.716 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.716 * [taylor]: Taking taylor expansion of re in re 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify 1 into 1 0.717 * [backup-simplify]: Simplify (* 1 1) into 1 0.717 * [backup-simplify]: Simplify (/ 1 1) into 1 0.717 * [backup-simplify]: Simplify (+ 0 1) into 1 0.717 * [backup-simplify]: Simplify (sqrt 1) into 1 0.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.720 * [backup-simplify]: Simplify (+ 0 0) into 0 0.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.721 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.721 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.721 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.721 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.721 * [taylor]: Taking taylor expansion of im in re 0.721 * [backup-simplify]: Simplify im into im 0.721 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.721 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.721 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.721 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.721 * [taylor]: Taking taylor expansion of re in re 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 1 into 1 0.721 * [backup-simplify]: Simplify (* 1 1) into 1 0.722 * [backup-simplify]: Simplify (/ 1 1) into 1 0.722 * [backup-simplify]: Simplify (+ 0 1) into 1 0.722 * [backup-simplify]: Simplify (sqrt 1) into 1 0.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.723 * [backup-simplify]: Simplify (+ 0 0) into 0 0.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.724 * [taylor]: Taking taylor expansion of 1 in im 0.724 * [backup-simplify]: Simplify 1 into 1 0.724 * [taylor]: Taking taylor expansion of 0 in im 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 1 into 1 0.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.725 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.726 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.726 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.726 * [taylor]: Taking taylor expansion of 1/2 in im 0.726 * [backup-simplify]: Simplify 1/2 into 1/2 0.726 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.726 * [taylor]: Taking taylor expansion of im in im 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [backup-simplify]: Simplify (* 1 1) into 1 0.726 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.728 * [backup-simplify]: Simplify (+ 0 0) into 0 0.729 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.729 * [taylor]: Taking taylor expansion of 0 in im 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.730 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.730 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.730 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.730 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.730 * [taylor]: Taking taylor expansion of im in im 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify (* 1 1) into 1 0.731 * [backup-simplify]: Simplify (/ 1 1) into 1 0.731 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.731 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.731 * [taylor]: Taking taylor expansion of re in im 0.731 * [backup-simplify]: Simplify re into re 0.731 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.731 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.731 * [backup-simplify]: Simplify (+ 1 0) into 1 0.731 * [backup-simplify]: Simplify (sqrt 1) into 1 0.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.732 * [backup-simplify]: Simplify (+ 0 0) into 0 0.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.733 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.733 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.733 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.733 * [taylor]: Taking taylor expansion of im in re 0.733 * [backup-simplify]: Simplify im into im 0.733 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.733 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.733 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.733 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.733 * [taylor]: Taking taylor expansion of re in re 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify 1 into 1 0.733 * [backup-simplify]: Simplify (* 1 1) into 1 0.734 * [backup-simplify]: Simplify (/ 1 1) into 1 0.734 * [backup-simplify]: Simplify (+ 0 1) into 1 0.734 * [backup-simplify]: Simplify (sqrt 1) into 1 0.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.735 * [backup-simplify]: Simplify (+ 0 0) into 0 0.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.736 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.736 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.736 * [taylor]: Taking taylor expansion of im in re 0.736 * [backup-simplify]: Simplify im into im 0.736 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.736 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.736 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.736 * [taylor]: Taking taylor expansion of re in re 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [backup-simplify]: Simplify (* 1 1) into 1 0.736 * [backup-simplify]: Simplify (/ 1 1) into 1 0.737 * [backup-simplify]: Simplify (+ 0 1) into 1 0.737 * [backup-simplify]: Simplify (sqrt 1) into 1 0.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.738 * [backup-simplify]: Simplify (+ 0 0) into 0 0.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.738 * [taylor]: Taking taylor expansion of 1 in im 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [taylor]: Taking taylor expansion of 0 in im 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.740 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.740 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.740 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.740 * [taylor]: Taking taylor expansion of 1/2 in im 0.740 * [backup-simplify]: Simplify 1/2 into 1/2 0.740 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.740 * [taylor]: Taking taylor expansion of im in im 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.741 * [backup-simplify]: Simplify (* 1 1) into 1 0.741 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.743 * [backup-simplify]: Simplify (+ 0 0) into 0 0.744 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.744 * [taylor]: Taking taylor expansion of 0 in im 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.745 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 0.745 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.745 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.745 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.745 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.745 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.745 * [taylor]: Taking taylor expansion of re in im 0.745 * [backup-simplify]: Simplify re into re 0.745 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.745 * [taylor]: Taking taylor expansion of im in im 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 1 into 1 0.745 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.746 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.746 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.746 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.746 * [backup-simplify]: Simplify (+ 0 0) into 0 0.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.746 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.746 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.746 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.746 * [taylor]: Taking taylor expansion of re in re 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify 1 into 1 0.746 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.746 * [taylor]: Taking taylor expansion of im in re 0.746 * [backup-simplify]: Simplify im into im 0.746 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.746 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.746 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.746 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.747 * [backup-simplify]: Simplify (+ 0 0) into 0 0.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.747 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.747 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.747 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.747 * [taylor]: Taking taylor expansion of re in re 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.747 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.747 * [taylor]: Taking taylor expansion of im in re 0.747 * [backup-simplify]: Simplify im into im 0.747 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.747 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.747 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.747 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.747 * [backup-simplify]: Simplify (+ 0 0) into 0 0.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.747 * [taylor]: Taking taylor expansion of im in im 0.747 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [taylor]: Taking taylor expansion of 0 in im 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [backup-simplify]: Simplify (* 1 1) into 1 0.748 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.748 * [backup-simplify]: Simplify (+ 1 0) into 1 0.749 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.749 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.749 * [taylor]: Taking taylor expansion of 1/2 in im 0.749 * [backup-simplify]: Simplify 1/2 into 1/2 0.749 * [taylor]: Taking taylor expansion of im in im 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.750 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.751 * [backup-simplify]: Simplify (+ 0 0) into 0 0.751 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.751 * [taylor]: Taking taylor expansion of 0 in im 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.752 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.752 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.752 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.752 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.752 * [taylor]: Taking taylor expansion of im in im 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify 1 into 1 0.752 * [backup-simplify]: Simplify (* 1 1) into 1 0.752 * [backup-simplify]: Simplify (/ 1 1) into 1 0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.752 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.752 * [taylor]: Taking taylor expansion of re in im 0.752 * [backup-simplify]: Simplify re into re 0.753 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.753 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.753 * [backup-simplify]: Simplify (+ 1 0) into 1 0.753 * [backup-simplify]: Simplify (sqrt 1) into 1 0.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.754 * [backup-simplify]: Simplify (+ 0 0) into 0 0.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.754 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.754 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.754 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.755 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.755 * [taylor]: Taking taylor expansion of im in re 0.755 * [backup-simplify]: Simplify im into im 0.755 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.755 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.755 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.755 * [taylor]: Taking taylor expansion of re in re 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 1 into 1 0.755 * [backup-simplify]: Simplify (* 1 1) into 1 0.755 * [backup-simplify]: Simplify (/ 1 1) into 1 0.755 * [backup-simplify]: Simplify (+ 0 1) into 1 0.756 * [backup-simplify]: Simplify (sqrt 1) into 1 0.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.757 * [backup-simplify]: Simplify (+ 0 0) into 0 0.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.757 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.757 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.757 * [taylor]: Taking taylor expansion of im in re 0.757 * [backup-simplify]: Simplify im into im 0.757 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.757 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.757 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.757 * [taylor]: Taking taylor expansion of re in re 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.758 * [backup-simplify]: Simplify (* 1 1) into 1 0.758 * [backup-simplify]: Simplify (/ 1 1) into 1 0.758 * [backup-simplify]: Simplify (+ 0 1) into 1 0.758 * [backup-simplify]: Simplify (sqrt 1) into 1 0.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.759 * [backup-simplify]: Simplify (+ 0 0) into 0 0.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.760 * [taylor]: Taking taylor expansion of 1 in im 0.760 * [backup-simplify]: Simplify 1 into 1 0.760 * [taylor]: Taking taylor expansion of 0 in im 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 1 into 1 0.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.761 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.762 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.762 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.762 * [taylor]: Taking taylor expansion of 1/2 in im 0.762 * [backup-simplify]: Simplify 1/2 into 1/2 0.762 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.762 * [taylor]: Taking taylor expansion of im in im 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify 1 into 1 0.762 * [backup-simplify]: Simplify (* 1 1) into 1 0.762 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.765 * [backup-simplify]: Simplify (+ 0 0) into 0 0.765 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.765 * [taylor]: Taking taylor expansion of 0 in im 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.766 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.766 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.766 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.766 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.766 * [taylor]: Taking taylor expansion of im in im 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify 1 into 1 0.767 * [backup-simplify]: Simplify (* 1 1) into 1 0.767 * [backup-simplify]: Simplify (/ 1 1) into 1 0.767 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.767 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.767 * [taylor]: Taking taylor expansion of re in im 0.767 * [backup-simplify]: Simplify re into re 0.767 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.767 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.767 * [backup-simplify]: Simplify (+ 1 0) into 1 0.768 * [backup-simplify]: Simplify (sqrt 1) into 1 0.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.768 * [backup-simplify]: Simplify (+ 0 0) into 0 0.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.769 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.769 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.769 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.769 * [taylor]: Taking taylor expansion of im in re 0.769 * [backup-simplify]: Simplify im into im 0.769 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.769 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.769 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.769 * [taylor]: Taking taylor expansion of re in re 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 1 into 1 0.769 * [backup-simplify]: Simplify (* 1 1) into 1 0.770 * [backup-simplify]: Simplify (/ 1 1) into 1 0.770 * [backup-simplify]: Simplify (+ 0 1) into 1 0.770 * [backup-simplify]: Simplify (sqrt 1) into 1 0.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.771 * [backup-simplify]: Simplify (+ 0 0) into 0 0.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.771 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.771 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.771 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.772 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.772 * [taylor]: Taking taylor expansion of im in re 0.772 * [backup-simplify]: Simplify im into im 0.772 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.772 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.772 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.772 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.772 * [taylor]: Taking taylor expansion of re in re 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 1 into 1 0.772 * [backup-simplify]: Simplify (* 1 1) into 1 0.772 * [backup-simplify]: Simplify (/ 1 1) into 1 0.772 * [backup-simplify]: Simplify (+ 0 1) into 1 0.773 * [backup-simplify]: Simplify (sqrt 1) into 1 0.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.774 * [backup-simplify]: Simplify (+ 0 0) into 0 0.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.774 * [taylor]: Taking taylor expansion of 1 in im 0.774 * [backup-simplify]: Simplify 1 into 1 0.774 * [taylor]: Taking taylor expansion of 0 in im 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 1 into 1 0.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.775 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.776 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.776 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.776 * [taylor]: Taking taylor expansion of 1/2 in im 0.776 * [backup-simplify]: Simplify 1/2 into 1/2 0.776 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.776 * [taylor]: Taking taylor expansion of im in im 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 1 into 1 0.776 * [backup-simplify]: Simplify (* 1 1) into 1 0.777 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.779 * [backup-simplify]: Simplify (+ 0 0) into 0 0.779 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.779 * [taylor]: Taking taylor expansion of 0 in im 0.779 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.781 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 1) 0.781 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.781 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.781 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.781 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.781 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.781 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.781 * [taylor]: Taking taylor expansion of re in im 0.781 * [backup-simplify]: Simplify re into re 0.781 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.781 * [taylor]: Taking taylor expansion of im in im 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.781 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.781 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.781 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.781 * [backup-simplify]: Simplify (+ 0 0) into 0 0.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.782 * [taylor]: Taking taylor expansion of re in im 0.782 * [backup-simplify]: Simplify re into re 0.782 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.782 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.782 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.782 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.782 * [taylor]: Taking taylor expansion of re in re 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 1 into 1 0.782 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.782 * [taylor]: Taking taylor expansion of im in re 0.782 * [backup-simplify]: Simplify im into im 0.782 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.782 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.782 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.782 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.782 * [backup-simplify]: Simplify (+ 0 0) into 0 0.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.782 * [taylor]: Taking taylor expansion of re in re 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 1 into 1 0.782 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.782 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.782 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.782 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.782 * [taylor]: Taking taylor expansion of re in re 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 1 into 1 0.782 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.782 * [taylor]: Taking taylor expansion of im in re 0.783 * [backup-simplify]: Simplify im into im 0.783 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.783 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.783 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.783 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.783 * [backup-simplify]: Simplify (+ 0 0) into 0 0.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.783 * [taylor]: Taking taylor expansion of re in re 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 1 into 1 0.783 * [backup-simplify]: Simplify (- 0) into 0 0.783 * [backup-simplify]: Simplify (+ im 0) into im 0.783 * [taylor]: Taking taylor expansion of im in im 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 1 into 1 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify (- 1) into -1 0.784 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.784 * [taylor]: Taking taylor expansion of -1 in im 0.784 * [backup-simplify]: Simplify -1 into -1 0.784 * [backup-simplify]: Simplify -1 into -1 0.784 * [backup-simplify]: Simplify 1 into 1 0.784 * [backup-simplify]: Simplify (* 1 1) into 1 0.785 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.785 * [backup-simplify]: Simplify (+ 1 0) into 1 0.785 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.785 * [backup-simplify]: Simplify (- 0) into 0 0.785 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.785 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.786 * [taylor]: Taking taylor expansion of 1/2 in im 0.786 * [backup-simplify]: Simplify 1/2 into 1/2 0.786 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.786 * [taylor]: Taking taylor expansion of im in im 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 1 into 1 0.786 * [backup-simplify]: Simplify (/ 1 1) into 1 0.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.787 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.788 * [backup-simplify]: Simplify (+ 0 0) into 0 0.788 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.788 * [backup-simplify]: Simplify (- 0) into 0 0.788 * [backup-simplify]: Simplify (+ 0 0) into 0 0.788 * [taylor]: Taking taylor expansion of 0 in im 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.789 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.790 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 0.790 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.790 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.790 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.790 * [taylor]: Taking taylor expansion of im in im 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 1 into 1 0.790 * [backup-simplify]: Simplify (* 1 1) into 1 0.790 * [backup-simplify]: Simplify (/ 1 1) into 1 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.790 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.790 * [taylor]: Taking taylor expansion of re in im 0.790 * [backup-simplify]: Simplify re into re 0.790 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.790 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.791 * [backup-simplify]: Simplify (+ 1 0) into 1 0.791 * [backup-simplify]: Simplify (sqrt 1) into 1 0.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.792 * [backup-simplify]: Simplify (+ 0 0) into 0 0.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.792 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.792 * [taylor]: Taking taylor expansion of re in im 0.792 * [backup-simplify]: Simplify re into re 0.792 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.792 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.792 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.793 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.793 * [taylor]: Taking taylor expansion of im in re 0.793 * [backup-simplify]: Simplify im into im 0.793 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.793 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.793 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.793 * [taylor]: Taking taylor expansion of re in re 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 1 into 1 0.793 * [backup-simplify]: Simplify (* 1 1) into 1 0.793 * [backup-simplify]: Simplify (/ 1 1) into 1 0.793 * [backup-simplify]: Simplify (+ 0 1) into 1 0.794 * [backup-simplify]: Simplify (sqrt 1) into 1 0.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.795 * [backup-simplify]: Simplify (+ 0 0) into 0 0.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.795 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.795 * [taylor]: Taking taylor expansion of re in re 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 1 into 1 0.795 * [backup-simplify]: Simplify (/ 1 1) into 1 0.795 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.795 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.795 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.795 * [taylor]: Taking taylor expansion of im in re 0.795 * [backup-simplify]: Simplify im into im 0.796 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.796 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.796 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.796 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.796 * [taylor]: Taking taylor expansion of re in re 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify 1 into 1 0.796 * [backup-simplify]: Simplify (* 1 1) into 1 0.796 * [backup-simplify]: Simplify (/ 1 1) into 1 0.796 * [backup-simplify]: Simplify (+ 0 1) into 1 0.797 * [backup-simplify]: Simplify (sqrt 1) into 1 0.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.798 * [backup-simplify]: Simplify (+ 0 0) into 0 0.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.798 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.798 * [taylor]: Taking taylor expansion of re in re 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.798 * [backup-simplify]: Simplify (/ 1 1) into 1 0.798 * [backup-simplify]: Simplify (- 1) into -1 0.799 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.799 * [taylor]: Taking taylor expansion of 0 in im 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.799 * [backup-simplify]: Simplify (- 0) into 0 0.800 * [backup-simplify]: Simplify (+ 0 0) into 0 0.800 * [taylor]: Taking taylor expansion of 0 in im 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.801 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.802 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (- 0) into 0 0.803 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.803 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.803 * [taylor]: Taking taylor expansion of 1/2 in im 0.803 * [backup-simplify]: Simplify 1/2 into 1/2 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.803 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.803 * [taylor]: Taking taylor expansion of im in im 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify 1 into 1 0.803 * [backup-simplify]: Simplify (* 1 1) into 1 0.803 * [backup-simplify]: Simplify (/ 1 1) into 1 0.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.804 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.804 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify (+ 0 0) into 0 0.806 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.807 * [backup-simplify]: Simplify (- 0) into 0 0.807 * [backup-simplify]: Simplify (+ 0 0) into 0 0.807 * [taylor]: Taking taylor expansion of 0 in im 0.807 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.809 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 0.809 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.809 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.809 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.809 * [taylor]: Taking taylor expansion of re in im 0.809 * [backup-simplify]: Simplify re into re 0.809 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.809 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.809 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.809 * [taylor]: Taking taylor expansion of im in im 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 1 into 1 0.810 * [backup-simplify]: Simplify (* 1 1) into 1 0.810 * [backup-simplify]: Simplify (/ 1 1) into 1 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.810 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.810 * [taylor]: Taking taylor expansion of re in im 0.810 * [backup-simplify]: Simplify re into re 0.810 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.810 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.810 * [backup-simplify]: Simplify (+ 1 0) into 1 0.810 * [backup-simplify]: Simplify (sqrt 1) into 1 0.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.811 * [backup-simplify]: Simplify (+ 0 0) into 0 0.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.812 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.812 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.812 * [taylor]: Taking taylor expansion of re in re 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify 1 into 1 0.812 * [backup-simplify]: Simplify (/ 1 1) into 1 0.812 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.812 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.812 * [taylor]: Taking taylor expansion of im in re 0.812 * [backup-simplify]: Simplify im into im 0.812 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.812 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.812 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.812 * [taylor]: Taking taylor expansion of re in re 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify 1 into 1 0.813 * [backup-simplify]: Simplify (* 1 1) into 1 0.813 * [backup-simplify]: Simplify (/ 1 1) into 1 0.816 * [backup-simplify]: Simplify (+ 0 1) into 1 0.816 * [backup-simplify]: Simplify (sqrt 1) into 1 0.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.817 * [backup-simplify]: Simplify (+ 0 0) into 0 0.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.818 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.818 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.818 * [taylor]: Taking taylor expansion of re in re 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [backup-simplify]: Simplify (/ 1 1) into 1 0.818 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.818 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.818 * [taylor]: Taking taylor expansion of im in re 0.818 * [backup-simplify]: Simplify im into im 0.818 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.818 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.818 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.819 * [taylor]: Taking taylor expansion of re in re 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 1 into 1 0.819 * [backup-simplify]: Simplify (* 1 1) into 1 0.819 * [backup-simplify]: Simplify (/ 1 1) into 1 0.819 * [backup-simplify]: Simplify (+ 0 1) into 1 0.819 * [backup-simplify]: Simplify (sqrt 1) into 1 0.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.820 * [backup-simplify]: Simplify (+ 0 0) into 0 0.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.821 * [backup-simplify]: Simplify (+ 1 1) into 2 0.821 * [taylor]: Taking taylor expansion of 2 in im 0.821 * [backup-simplify]: Simplify 2 into 2 0.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.822 * [backup-simplify]: Simplify (+ 0 0) into 0 0.822 * [taylor]: Taking taylor expansion of 0 in im 0.822 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify 2 into 2 0.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.824 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.824 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.824 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.824 * [taylor]: Taking taylor expansion of 1/2 in im 0.824 * [backup-simplify]: Simplify 1/2 into 1/2 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.824 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.824 * [taylor]: Taking taylor expansion of im in im 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 1 into 1 0.825 * [backup-simplify]: Simplify (* 1 1) into 1 0.825 * [backup-simplify]: Simplify (/ 1 1) into 1 0.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.827 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.828 * [backup-simplify]: Simplify (+ 0 0) into 0 0.828 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.829 * [backup-simplify]: Simplify (+ 0 0) into 0 0.829 * [taylor]: Taking taylor expansion of 0 in im 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.830 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.830 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.830 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.830 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.831 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.831 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.831 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.831 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.831 * [taylor]: Taking taylor expansion of re in im 0.831 * [backup-simplify]: Simplify re into re 0.831 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.831 * [taylor]: Taking taylor expansion of im in im 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 1 into 1 0.831 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.831 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.831 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.831 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.831 * [backup-simplify]: Simplify (+ 0 0) into 0 0.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.831 * [taylor]: Taking taylor expansion of re in im 0.831 * [backup-simplify]: Simplify re into re 0.831 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.831 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.831 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.831 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.831 * [taylor]: Taking taylor expansion of re in re 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 1 into 1 0.831 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.831 * [taylor]: Taking taylor expansion of im in re 0.831 * [backup-simplify]: Simplify im into im 0.831 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.832 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.832 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.832 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.832 * [backup-simplify]: Simplify (+ 0 0) into 0 0.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.832 * [taylor]: Taking taylor expansion of re in re 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.832 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.832 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.832 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.832 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.832 * [taylor]: Taking taylor expansion of re in re 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.832 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.832 * [taylor]: Taking taylor expansion of im in re 0.832 * [backup-simplify]: Simplify im into im 0.832 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.832 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.832 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.833 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.833 * [backup-simplify]: Simplify (+ 0 0) into 0 0.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.833 * [taylor]: Taking taylor expansion of re in re 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.833 * [backup-simplify]: Simplify (- 0) into 0 0.833 * [backup-simplify]: Simplify (+ im 0) into im 0.833 * [taylor]: Taking taylor expansion of im in im 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify (- 1) into -1 0.834 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.834 * [taylor]: Taking taylor expansion of -1 in im 0.834 * [backup-simplify]: Simplify -1 into -1 0.834 * [backup-simplify]: Simplify -1 into -1 0.834 * [backup-simplify]: Simplify 1 into 1 0.834 * [backup-simplify]: Simplify (* 1 1) into 1 0.834 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.835 * [backup-simplify]: Simplify (+ 1 0) into 1 0.835 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.835 * [backup-simplify]: Simplify (- 0) into 0 0.835 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.835 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.835 * [taylor]: Taking taylor expansion of 1/2 in im 0.835 * [backup-simplify]: Simplify 1/2 into 1/2 0.835 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.835 * [taylor]: Taking taylor expansion of im in im 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 1 into 1 0.836 * [backup-simplify]: Simplify (/ 1 1) into 1 0.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.837 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.837 * [backup-simplify]: Simplify (+ 0 0) into 0 0.838 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.838 * [backup-simplify]: Simplify (- 0) into 0 0.838 * [backup-simplify]: Simplify (+ 0 0) into 0 0.838 * [taylor]: Taking taylor expansion of 0 in im 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.839 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.839 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 0.839 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.839 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.839 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.839 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.839 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.840 * [taylor]: Taking taylor expansion of im in im 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 1 into 1 0.840 * [backup-simplify]: Simplify (* 1 1) into 1 0.840 * [backup-simplify]: Simplify (/ 1 1) into 1 0.840 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.840 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.840 * [taylor]: Taking taylor expansion of re in im 0.840 * [backup-simplify]: Simplify re into re 0.840 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.840 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.840 * [backup-simplify]: Simplify (+ 1 0) into 1 0.841 * [backup-simplify]: Simplify (sqrt 1) into 1 0.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.842 * [backup-simplify]: Simplify (+ 0 0) into 0 0.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.842 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.842 * [taylor]: Taking taylor expansion of re in im 0.842 * [backup-simplify]: Simplify re into re 0.842 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.842 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.842 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.842 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.842 * [taylor]: Taking taylor expansion of im in re 0.842 * [backup-simplify]: Simplify im into im 0.842 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.842 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.842 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.842 * [taylor]: Taking taylor expansion of re in re 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.843 * [backup-simplify]: Simplify (* 1 1) into 1 0.843 * [backup-simplify]: Simplify (/ 1 1) into 1 0.843 * [backup-simplify]: Simplify (+ 0 1) into 1 0.843 * [backup-simplify]: Simplify (sqrt 1) into 1 0.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.844 * [backup-simplify]: Simplify (+ 0 0) into 0 0.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.845 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.845 * [taylor]: Taking taylor expansion of re in re 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 1 into 1 0.845 * [backup-simplify]: Simplify (/ 1 1) into 1 0.845 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.845 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.845 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.845 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.845 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.845 * [taylor]: Taking taylor expansion of im in re 0.845 * [backup-simplify]: Simplify im into im 0.845 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.845 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.845 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.845 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.845 * [taylor]: Taking taylor expansion of re in re 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 1 into 1 0.846 * [backup-simplify]: Simplify (* 1 1) into 1 0.846 * [backup-simplify]: Simplify (/ 1 1) into 1 0.846 * [backup-simplify]: Simplify (+ 0 1) into 1 0.846 * [backup-simplify]: Simplify (sqrt 1) into 1 0.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.847 * [backup-simplify]: Simplify (+ 0 0) into 0 0.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.848 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.848 * [taylor]: Taking taylor expansion of re in re 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 1 into 1 0.848 * [backup-simplify]: Simplify (/ 1 1) into 1 0.848 * [backup-simplify]: Simplify (- 1) into -1 0.848 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.848 * [taylor]: Taking taylor expansion of 0 in im 0.848 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.849 * [backup-simplify]: Simplify (- 0) into 0 0.849 * [backup-simplify]: Simplify (+ 0 0) into 0 0.849 * [taylor]: Taking taylor expansion of 0 in im 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.850 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.851 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.852 * [backup-simplify]: Simplify (- 0) into 0 0.852 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.852 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.852 * [taylor]: Taking taylor expansion of 1/2 in im 0.852 * [backup-simplify]: Simplify 1/2 into 1/2 0.852 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.852 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.852 * [taylor]: Taking taylor expansion of im in im 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 1 into 1 0.852 * [backup-simplify]: Simplify (* 1 1) into 1 0.853 * [backup-simplify]: Simplify (/ 1 1) into 1 0.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.856 * [backup-simplify]: Simplify (+ 0 0) into 0 0.856 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.857 * [backup-simplify]: Simplify (- 0) into 0 0.857 * [backup-simplify]: Simplify (+ 0 0) into 0 0.857 * [taylor]: Taking taylor expansion of 0 in im 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 0.859 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.859 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.859 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.859 * [taylor]: Taking taylor expansion of re in im 0.859 * [backup-simplify]: Simplify re into re 0.859 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.859 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.859 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.859 * [taylor]: Taking taylor expansion of im in im 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify 1 into 1 0.859 * [backup-simplify]: Simplify (* 1 1) into 1 0.859 * [backup-simplify]: Simplify (/ 1 1) into 1 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.859 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.859 * [taylor]: Taking taylor expansion of re in im 0.860 * [backup-simplify]: Simplify re into re 0.860 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.860 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.860 * [backup-simplify]: Simplify (+ 1 0) into 1 0.860 * [backup-simplify]: Simplify (sqrt 1) into 1 0.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.861 * [backup-simplify]: Simplify (+ 0 0) into 0 0.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.861 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.862 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.862 * [taylor]: Taking taylor expansion of re in re 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 1 into 1 0.862 * [backup-simplify]: Simplify (/ 1 1) into 1 0.862 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.862 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.862 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.862 * [taylor]: Taking taylor expansion of im in re 0.862 * [backup-simplify]: Simplify im into im 0.862 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.862 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.862 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.862 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.862 * [taylor]: Taking taylor expansion of re in re 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 1 into 1 0.862 * [backup-simplify]: Simplify (* 1 1) into 1 0.863 * [backup-simplify]: Simplify (/ 1 1) into 1 0.863 * [backup-simplify]: Simplify (+ 0 1) into 1 0.863 * [backup-simplify]: Simplify (sqrt 1) into 1 0.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.864 * [backup-simplify]: Simplify (+ 0 0) into 0 0.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.864 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.864 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.865 * [taylor]: Taking taylor expansion of re in re 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 1 into 1 0.865 * [backup-simplify]: Simplify (/ 1 1) into 1 0.865 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.865 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.865 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.865 * [taylor]: Taking taylor expansion of im in re 0.865 * [backup-simplify]: Simplify im into im 0.865 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.865 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.865 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.865 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.865 * [taylor]: Taking taylor expansion of re in re 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 1 into 1 0.865 * [backup-simplify]: Simplify (* 1 1) into 1 0.866 * [backup-simplify]: Simplify (/ 1 1) into 1 0.866 * [backup-simplify]: Simplify (+ 0 1) into 1 0.866 * [backup-simplify]: Simplify (sqrt 1) into 1 0.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.867 * [backup-simplify]: Simplify (+ 0 0) into 0 0.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.868 * [backup-simplify]: Simplify (+ 1 1) into 2 0.868 * [taylor]: Taking taylor expansion of 2 in im 0.868 * [backup-simplify]: Simplify 2 into 2 0.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.868 * [backup-simplify]: Simplify (+ 0 0) into 0 0.868 * [taylor]: Taking taylor expansion of 0 in im 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 2 into 2 0.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.870 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.871 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.871 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.871 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.871 * [taylor]: Taking taylor expansion of 1/2 in im 0.871 * [backup-simplify]: Simplify 1/2 into 1/2 0.871 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.871 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.871 * [taylor]: Taking taylor expansion of im in im 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify 1 into 1 0.871 * [backup-simplify]: Simplify (* 1 1) into 1 0.871 * [backup-simplify]: Simplify (/ 1 1) into 1 0.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.873 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.873 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.875 * [backup-simplify]: Simplify (+ 0 0) into 0 0.875 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.875 * [backup-simplify]: Simplify (+ 0 0) into 0 0.875 * [taylor]: Taking taylor expansion of 0 in im 0.875 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.877 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.877 * * * [progress]: simplifying candidates 0.878 * [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)))) (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 (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) (/ (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) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) (- im re) 0 (* -2 re) 0.878 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1)) (log (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (exp (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (* (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)) (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (+ (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (- h1) (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- h1) (/ (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1)) (log (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (exp (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (* (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)) (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (+ (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (- h1) (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- h1) h0 h1 (* -1 h1) h0 h1 (* -1 h1) (- h0 h1) 0 (* -2 h1) (- h0 h1) 0 (* -2 h1) 0.881 * * [simplify]: iteration 0 : 135 enodes (cost 456 ) 0.884 * * [simplify]: iteration 1 : 332 enodes (cost 432 ) 0.890 * * [simplify]: iteration 2 : 839 enodes (cost 424 ) 0.906 * * [simplify]: iteration 3 : 2503 enodes (cost 422 ) 0.955 * * [simplify]: iteration 4 : 5002 enodes (cost 420 ) 0.958 * * * [progress]: adding candidates to table 1.172 * * [progress]: iteration 3 / 4 1.172 * * * [progress]: picking best candidate 1.181 * * * * [pick]: Picked # 1.181 * * * [progress]: localizing error 1.193 * * * [progress]: generating rewritten candidates 1.194 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 1.201 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 1.209 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 1.248 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 1.305 * * * [progress]: generating series expansions 1.305 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 1.305 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.305 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.305 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.305 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.305 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.305 * [taylor]: Taking taylor expansion of re in im 1.305 * [backup-simplify]: Simplify re into re 1.305 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.305 * [taylor]: Taking taylor expansion of im in im 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 1 into 1 1.305 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.306 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.306 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.306 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.306 * [backup-simplify]: Simplify (+ 0 0) into 0 1.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.306 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.306 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.306 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.306 * [taylor]: Taking taylor expansion of re in re 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify 1 into 1 1.306 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.306 * [taylor]: Taking taylor expansion of im in re 1.306 * [backup-simplify]: Simplify im into im 1.306 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.307 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.307 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.307 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.307 * [backup-simplify]: Simplify (+ 0 0) into 0 1.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.307 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.307 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.307 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.307 * [taylor]: Taking taylor expansion of re in re 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 1 into 1 1.307 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.307 * [taylor]: Taking taylor expansion of im in re 1.307 * [backup-simplify]: Simplify im into im 1.307 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.307 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.307 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.307 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.308 * [backup-simplify]: Simplify (+ 0 0) into 0 1.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.308 * [taylor]: Taking taylor expansion of im in im 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [taylor]: Taking taylor expansion of 0 in im 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [backup-simplify]: Simplify (* 1 1) into 1 1.309 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.309 * [backup-simplify]: Simplify (+ 1 0) into 1 1.309 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.309 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.309 * [taylor]: Taking taylor expansion of 1/2 in im 1.309 * [backup-simplify]: Simplify 1/2 into 1/2 1.309 * [taylor]: Taking taylor expansion of im in im 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 1 into 1 1.310 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.311 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.311 * [backup-simplify]: Simplify (+ 0 0) into 0 1.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.311 * [taylor]: Taking taylor expansion of 0 in im 1.311 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.312 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.312 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.312 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.312 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.312 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.312 * [taylor]: Taking taylor expansion of im in im 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify 1 into 1 1.313 * [backup-simplify]: Simplify (* 1 1) into 1 1.313 * [backup-simplify]: Simplify (/ 1 1) into 1 1.313 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.313 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.313 * [taylor]: Taking taylor expansion of re in im 1.313 * [backup-simplify]: Simplify re into re 1.313 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.313 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.313 * [backup-simplify]: Simplify (+ 1 0) into 1 1.314 * [backup-simplify]: Simplify (sqrt 1) into 1 1.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.314 * [backup-simplify]: Simplify (+ 0 0) into 0 1.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.315 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.315 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.315 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.315 * [taylor]: Taking taylor expansion of im in re 1.315 * [backup-simplify]: Simplify im into im 1.315 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.315 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.315 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.315 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.315 * [taylor]: Taking taylor expansion of re in re 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 1 into 1 1.315 * [backup-simplify]: Simplify (* 1 1) into 1 1.316 * [backup-simplify]: Simplify (/ 1 1) into 1 1.316 * [backup-simplify]: Simplify (+ 0 1) into 1 1.316 * [backup-simplify]: Simplify (sqrt 1) into 1 1.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.317 * [backup-simplify]: Simplify (+ 0 0) into 0 1.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.318 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.318 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.318 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.318 * [taylor]: Taking taylor expansion of im in re 1.318 * [backup-simplify]: Simplify im into im 1.318 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.318 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.318 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.318 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.318 * [taylor]: Taking taylor expansion of re in re 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify 1 into 1 1.318 * [backup-simplify]: Simplify (* 1 1) into 1 1.319 * [backup-simplify]: Simplify (/ 1 1) into 1 1.319 * [backup-simplify]: Simplify (+ 0 1) into 1 1.319 * [backup-simplify]: Simplify (sqrt 1) into 1 1.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.320 * [backup-simplify]: Simplify (+ 0 0) into 0 1.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.320 * [taylor]: Taking taylor expansion of 1 in im 1.320 * [backup-simplify]: Simplify 1 into 1 1.320 * [taylor]: Taking taylor expansion of 0 in im 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 1 into 1 1.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.322 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.323 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.323 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.323 * [taylor]: Taking taylor expansion of 1/2 in im 1.323 * [backup-simplify]: Simplify 1/2 into 1/2 1.323 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.323 * [taylor]: Taking taylor expansion of im in im 1.323 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify 1 into 1 1.323 * [backup-simplify]: Simplify (* 1 1) into 1 1.323 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.326 * [backup-simplify]: Simplify (+ 0 0) into 0 1.326 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.326 * [taylor]: Taking taylor expansion of 0 in im 1.326 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.327 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.327 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.327 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.327 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.327 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.327 * [taylor]: Taking taylor expansion of im in im 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 1 into 1 1.328 * [backup-simplify]: Simplify (* 1 1) into 1 1.328 * [backup-simplify]: Simplify (/ 1 1) into 1 1.328 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.328 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.328 * [taylor]: Taking taylor expansion of re in im 1.328 * [backup-simplify]: Simplify re into re 1.328 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.328 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.328 * [backup-simplify]: Simplify (+ 1 0) into 1 1.329 * [backup-simplify]: Simplify (sqrt 1) into 1 1.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.330 * [backup-simplify]: Simplify (+ 0 0) into 0 1.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.330 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.330 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.330 * [taylor]: Taking taylor expansion of im in re 1.330 * [backup-simplify]: Simplify im into im 1.330 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.330 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.330 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.330 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.330 * [taylor]: Taking taylor expansion of re in re 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 1 into 1 1.331 * [backup-simplify]: Simplify (* 1 1) into 1 1.331 * [backup-simplify]: Simplify (/ 1 1) into 1 1.331 * [backup-simplify]: Simplify (+ 0 1) into 1 1.331 * [backup-simplify]: Simplify (sqrt 1) into 1 1.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.332 * [backup-simplify]: Simplify (+ 0 0) into 0 1.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.333 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.333 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.333 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.333 * [taylor]: Taking taylor expansion of im in re 1.333 * [backup-simplify]: Simplify im into im 1.333 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.333 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.333 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.333 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.333 * [taylor]: Taking taylor expansion of re in re 1.333 * [backup-simplify]: Simplify 0 into 0 1.333 * [backup-simplify]: Simplify 1 into 1 1.333 * [backup-simplify]: Simplify (* 1 1) into 1 1.333 * [backup-simplify]: Simplify (/ 1 1) into 1 1.334 * [backup-simplify]: Simplify (+ 0 1) into 1 1.334 * [backup-simplify]: Simplify (sqrt 1) into 1 1.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.335 * [backup-simplify]: Simplify (+ 0 0) into 0 1.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.335 * [taylor]: Taking taylor expansion of 1 in im 1.335 * [backup-simplify]: Simplify 1 into 1 1.335 * [taylor]: Taking taylor expansion of 0 in im 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify 1 into 1 1.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.336 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.337 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.337 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.337 * [taylor]: Taking taylor expansion of 1/2 in im 1.337 * [backup-simplify]: Simplify 1/2 into 1/2 1.337 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.337 * [taylor]: Taking taylor expansion of im in im 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 1 into 1 1.337 * [backup-simplify]: Simplify (* 1 1) into 1 1.338 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.340 * [backup-simplify]: Simplify (+ 0 0) into 0 1.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.340 * [taylor]: Taking taylor expansion of 0 in im 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.342 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 1.342 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.342 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.342 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.342 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.342 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.342 * [taylor]: Taking taylor expansion of re in im 1.342 * [backup-simplify]: Simplify re into re 1.342 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.342 * [taylor]: Taking taylor expansion of im in im 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 1 into 1 1.342 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.342 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.342 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.342 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.343 * [backup-simplify]: Simplify (+ 0 0) into 0 1.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.343 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.343 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.343 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.343 * [taylor]: Taking taylor expansion of re in re 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 1 into 1 1.343 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.343 * [taylor]: Taking taylor expansion of im in re 1.343 * [backup-simplify]: Simplify im into im 1.343 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.343 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.343 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.343 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.343 * [backup-simplify]: Simplify (+ 0 0) into 0 1.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.343 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.343 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.343 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.343 * [taylor]: Taking taylor expansion of re in re 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 1 into 1 1.343 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.343 * [taylor]: Taking taylor expansion of im in re 1.343 * [backup-simplify]: Simplify im into im 1.344 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.344 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.344 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.344 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.344 * [backup-simplify]: Simplify (+ 0 0) into 0 1.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.344 * [taylor]: Taking taylor expansion of im in im 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify 1 into 1 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [taylor]: Taking taylor expansion of 0 in im 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify 1 into 1 1.344 * [backup-simplify]: Simplify (* 1 1) into 1 1.345 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.345 * [backup-simplify]: Simplify (+ 1 0) into 1 1.345 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.345 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.345 * [taylor]: Taking taylor expansion of 1/2 in im 1.345 * [backup-simplify]: Simplify 1/2 into 1/2 1.346 * [taylor]: Taking taylor expansion of im in im 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify 1 into 1 1.346 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.347 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.347 * [backup-simplify]: Simplify (+ 0 0) into 0 1.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.347 * [taylor]: Taking taylor expansion of 0 in im 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.348 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.348 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.348 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.348 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.348 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.348 * [taylor]: Taking taylor expansion of im in im 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify 1 into 1 1.349 * [backup-simplify]: Simplify (* 1 1) into 1 1.349 * [backup-simplify]: Simplify (/ 1 1) into 1 1.349 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.349 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.349 * [taylor]: Taking taylor expansion of re in im 1.349 * [backup-simplify]: Simplify re into re 1.349 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.349 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.349 * [backup-simplify]: Simplify (+ 1 0) into 1 1.350 * [backup-simplify]: Simplify (sqrt 1) into 1 1.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.354 * [backup-simplify]: Simplify (+ 0 0) into 0 1.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.355 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.355 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.355 * [taylor]: Taking taylor expansion of im in re 1.355 * [backup-simplify]: Simplify im into im 1.355 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.355 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.355 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.355 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.355 * [taylor]: Taking taylor expansion of re in re 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 1 into 1 1.355 * [backup-simplify]: Simplify (* 1 1) into 1 1.355 * [backup-simplify]: Simplify (/ 1 1) into 1 1.356 * [backup-simplify]: Simplify (+ 0 1) into 1 1.356 * [backup-simplify]: Simplify (sqrt 1) into 1 1.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.357 * [backup-simplify]: Simplify (+ 0 0) into 0 1.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.357 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.357 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.357 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.357 * [taylor]: Taking taylor expansion of im in re 1.357 * [backup-simplify]: Simplify im into im 1.357 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.358 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.358 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.358 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.358 * [taylor]: Taking taylor expansion of re in re 1.358 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify 1 into 1 1.358 * [backup-simplify]: Simplify (* 1 1) into 1 1.358 * [backup-simplify]: Simplify (/ 1 1) into 1 1.358 * [backup-simplify]: Simplify (+ 0 1) into 1 1.359 * [backup-simplify]: Simplify (sqrt 1) into 1 1.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.359 * [backup-simplify]: Simplify (+ 0 0) into 0 1.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.360 * [taylor]: Taking taylor expansion of 1 in im 1.360 * [backup-simplify]: Simplify 1 into 1 1.360 * [taylor]: Taking taylor expansion of 0 in im 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 1 into 1 1.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.361 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.362 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.362 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.362 * [taylor]: Taking taylor expansion of 1/2 in im 1.362 * [backup-simplify]: Simplify 1/2 into 1/2 1.362 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.362 * [taylor]: Taking taylor expansion of im in im 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify 1 into 1 1.362 * [backup-simplify]: Simplify (* 1 1) into 1 1.363 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.365 * [backup-simplify]: Simplify (+ 0 0) into 0 1.365 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.365 * [taylor]: Taking taylor expansion of 0 in im 1.365 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.367 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.367 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.367 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.367 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.367 * [taylor]: Taking taylor expansion of im in im 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 1 into 1 1.367 * [backup-simplify]: Simplify (* 1 1) into 1 1.367 * [backup-simplify]: Simplify (/ 1 1) into 1 1.367 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.367 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.367 * [taylor]: Taking taylor expansion of re in im 1.367 * [backup-simplify]: Simplify re into re 1.367 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.367 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.368 * [backup-simplify]: Simplify (+ 1 0) into 1 1.368 * [backup-simplify]: Simplify (sqrt 1) into 1 1.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.369 * [backup-simplify]: Simplify (+ 0 0) into 0 1.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.370 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.370 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.370 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.370 * [taylor]: Taking taylor expansion of im in re 1.370 * [backup-simplify]: Simplify im into im 1.370 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.370 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.370 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.370 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.370 * [taylor]: Taking taylor expansion of re in re 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify 1 into 1 1.370 * [backup-simplify]: Simplify (* 1 1) into 1 1.370 * [backup-simplify]: Simplify (/ 1 1) into 1 1.371 * [backup-simplify]: Simplify (+ 0 1) into 1 1.371 * [backup-simplify]: Simplify (sqrt 1) into 1 1.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.372 * [backup-simplify]: Simplify (+ 0 0) into 0 1.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.372 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.372 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.372 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.372 * [taylor]: Taking taylor expansion of im in re 1.372 * [backup-simplify]: Simplify im into im 1.372 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.372 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.372 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.372 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.372 * [taylor]: Taking taylor expansion of re in re 1.372 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify 1 into 1 1.373 * [backup-simplify]: Simplify (* 1 1) into 1 1.373 * [backup-simplify]: Simplify (/ 1 1) into 1 1.373 * [backup-simplify]: Simplify (+ 0 1) into 1 1.373 * [backup-simplify]: Simplify (sqrt 1) into 1 1.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.374 * [backup-simplify]: Simplify (+ 0 0) into 0 1.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.375 * [taylor]: Taking taylor expansion of 1 in im 1.375 * [backup-simplify]: Simplify 1 into 1 1.375 * [taylor]: Taking taylor expansion of 0 in im 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 1 into 1 1.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.376 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.377 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.377 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.377 * [taylor]: Taking taylor expansion of 1/2 in im 1.377 * [backup-simplify]: Simplify 1/2 into 1/2 1.377 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.377 * [taylor]: Taking taylor expansion of im in im 1.377 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify 1 into 1 1.377 * [backup-simplify]: Simplify (* 1 1) into 1 1.377 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.380 * [backup-simplify]: Simplify (+ 0 0) into 0 1.380 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.380 * [taylor]: Taking taylor expansion of 0 in im 1.380 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.381 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 1.382 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 1.382 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 1.382 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.382 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.382 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.382 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.382 * [taylor]: Taking taylor expansion of re in im 1.382 * [backup-simplify]: Simplify re into re 1.382 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.382 * [taylor]: Taking taylor expansion of im in im 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify 1 into 1 1.382 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.382 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.382 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.382 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.382 * [backup-simplify]: Simplify (+ 0 0) into 0 1.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.382 * [taylor]: Taking taylor expansion of re in im 1.383 * [backup-simplify]: Simplify re into re 1.383 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.383 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.383 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.383 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.383 * [taylor]: Taking taylor expansion of re in re 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify 1 into 1 1.383 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.383 * [taylor]: Taking taylor expansion of im in re 1.383 * [backup-simplify]: Simplify im into im 1.383 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.383 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.383 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.383 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.383 * [backup-simplify]: Simplify (+ 0 0) into 0 1.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.383 * [taylor]: Taking taylor expansion of re in re 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify 1 into 1 1.383 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.383 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.383 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.383 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.383 * [taylor]: Taking taylor expansion of re in re 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify 1 into 1 1.383 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.383 * [taylor]: Taking taylor expansion of im in re 1.383 * [backup-simplify]: Simplify im into im 1.384 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.384 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.384 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.384 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.384 * [backup-simplify]: Simplify (+ 0 0) into 0 1.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.384 * [taylor]: Taking taylor expansion of re in re 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify 1 into 1 1.384 * [backup-simplify]: Simplify (- 0) into 0 1.384 * [backup-simplify]: Simplify (+ im 0) into im 1.384 * [taylor]: Taking taylor expansion of im in im 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify 1 into 1 1.384 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify (- 1) into -1 1.385 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.385 * [taylor]: Taking taylor expansion of -1 in im 1.385 * [backup-simplify]: Simplify -1 into -1 1.385 * [backup-simplify]: Simplify -1 into -1 1.385 * [backup-simplify]: Simplify 1 into 1 1.385 * [backup-simplify]: Simplify (* 1 1) into 1 1.385 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.386 * [backup-simplify]: Simplify (+ 1 0) into 1 1.386 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.386 * [backup-simplify]: Simplify (- 0) into 0 1.386 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 1.386 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.387 * [taylor]: Taking taylor expansion of 1/2 in im 1.387 * [backup-simplify]: Simplify 1/2 into 1/2 1.387 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.387 * [taylor]: Taking taylor expansion of im in im 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify 1 into 1 1.387 * [backup-simplify]: Simplify (/ 1 1) into 1 1.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.388 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.388 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.389 * [backup-simplify]: Simplify (+ 0 0) into 0 1.389 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.389 * [backup-simplify]: Simplify (- 0) into 0 1.389 * [backup-simplify]: Simplify (+ 0 0) into 0 1.389 * [taylor]: Taking taylor expansion of 0 in im 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.390 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 1.391 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 1.391 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.391 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.391 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.391 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.391 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.391 * [taylor]: Taking taylor expansion of im in im 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 1 into 1 1.391 * [backup-simplify]: Simplify (* 1 1) into 1 1.391 * [backup-simplify]: Simplify (/ 1 1) into 1 1.391 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.391 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.392 * [taylor]: Taking taylor expansion of re in im 1.392 * [backup-simplify]: Simplify re into re 1.392 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.392 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.392 * [backup-simplify]: Simplify (+ 1 0) into 1 1.392 * [backup-simplify]: Simplify (sqrt 1) into 1 1.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.393 * [backup-simplify]: Simplify (+ 0 0) into 0 1.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.394 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.394 * [taylor]: Taking taylor expansion of re in im 1.394 * [backup-simplify]: Simplify re into re 1.394 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.394 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.394 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.394 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.394 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.394 * [taylor]: Taking taylor expansion of im in re 1.394 * [backup-simplify]: Simplify im into im 1.394 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.394 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.394 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.394 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.394 * [taylor]: Taking taylor expansion of re in re 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify 1 into 1 1.394 * [backup-simplify]: Simplify (* 1 1) into 1 1.394 * [backup-simplify]: Simplify (/ 1 1) into 1 1.395 * [backup-simplify]: Simplify (+ 0 1) into 1 1.395 * [backup-simplify]: Simplify (sqrt 1) into 1 1.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.396 * [backup-simplify]: Simplify (+ 0 0) into 0 1.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.396 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.396 * [taylor]: Taking taylor expansion of re in re 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify 1 into 1 1.397 * [backup-simplify]: Simplify (/ 1 1) into 1 1.397 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.397 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.397 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.397 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.397 * [taylor]: Taking taylor expansion of im in re 1.397 * [backup-simplify]: Simplify im into im 1.397 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.397 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.397 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.397 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.397 * [taylor]: Taking taylor expansion of re in re 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 1 into 1 1.397 * [backup-simplify]: Simplify (* 1 1) into 1 1.397 * [backup-simplify]: Simplify (/ 1 1) into 1 1.398 * [backup-simplify]: Simplify (+ 0 1) into 1 1.398 * [backup-simplify]: Simplify (sqrt 1) into 1 1.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.399 * [backup-simplify]: Simplify (+ 0 0) into 0 1.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.399 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.399 * [taylor]: Taking taylor expansion of re in re 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify 1 into 1 1.400 * [backup-simplify]: Simplify (/ 1 1) into 1 1.400 * [backup-simplify]: Simplify (- 1) into -1 1.400 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.400 * [taylor]: Taking taylor expansion of 0 in im 1.400 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.401 * [backup-simplify]: Simplify (- 0) into 0 1.401 * [backup-simplify]: Simplify (+ 0 0) into 0 1.401 * [taylor]: Taking taylor expansion of 0 in im 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.402 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.403 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.404 * [backup-simplify]: Simplify (- 0) into 0 1.404 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.404 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.404 * [taylor]: Taking taylor expansion of 1/2 in im 1.404 * [backup-simplify]: Simplify 1/2 into 1/2 1.404 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.404 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.404 * [taylor]: Taking taylor expansion of im in im 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify 1 into 1 1.404 * [backup-simplify]: Simplify (* 1 1) into 1 1.404 * [backup-simplify]: Simplify (/ 1 1) into 1 1.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.406 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.407 * [backup-simplify]: Simplify (+ 0 0) into 0 1.408 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.408 * [backup-simplify]: Simplify (- 0) into 0 1.408 * [backup-simplify]: Simplify (+ 0 0) into 0 1.409 * [taylor]: Taking taylor expansion of 0 in im 1.409 * [backup-simplify]: Simplify 0 into 0 1.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.410 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1.411 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.411 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.411 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.411 * [taylor]: Taking taylor expansion of re in im 1.411 * [backup-simplify]: Simplify re into re 1.411 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.411 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.411 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.411 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.411 * [taylor]: Taking taylor expansion of im in im 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify 1 into 1 1.411 * [backup-simplify]: Simplify (* 1 1) into 1 1.411 * [backup-simplify]: Simplify (/ 1 1) into 1 1.411 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.411 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.411 * [taylor]: Taking taylor expansion of re in im 1.411 * [backup-simplify]: Simplify re into re 1.411 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.411 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.412 * [backup-simplify]: Simplify (+ 1 0) into 1 1.412 * [backup-simplify]: Simplify (sqrt 1) into 1 1.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.413 * [backup-simplify]: Simplify (+ 0 0) into 0 1.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.414 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.414 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.414 * [taylor]: Taking taylor expansion of re in re 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify 1 into 1 1.414 * [backup-simplify]: Simplify (/ 1 1) into 1 1.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.414 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.414 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.414 * [taylor]: Taking taylor expansion of im in re 1.414 * [backup-simplify]: Simplify im into im 1.414 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.414 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.414 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.414 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.414 * [taylor]: Taking taylor expansion of re in re 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify 1 into 1 1.414 * [backup-simplify]: Simplify (* 1 1) into 1 1.415 * [backup-simplify]: Simplify (/ 1 1) into 1 1.415 * [backup-simplify]: Simplify (+ 0 1) into 1 1.415 * [backup-simplify]: Simplify (sqrt 1) into 1 1.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.416 * [backup-simplify]: Simplify (+ 0 0) into 0 1.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.417 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.417 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.417 * [taylor]: Taking taylor expansion of re in re 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 1 into 1 1.417 * [backup-simplify]: Simplify (/ 1 1) into 1 1.417 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.417 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.417 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.417 * [taylor]: Taking taylor expansion of im in re 1.417 * [backup-simplify]: Simplify im into im 1.417 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.417 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.417 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.417 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.417 * [taylor]: Taking taylor expansion of re in re 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 1 into 1 1.417 * [backup-simplify]: Simplify (* 1 1) into 1 1.418 * [backup-simplify]: Simplify (/ 1 1) into 1 1.418 * [backup-simplify]: Simplify (+ 0 1) into 1 1.418 * [backup-simplify]: Simplify (sqrt 1) into 1 1.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.419 * [backup-simplify]: Simplify (+ 0 0) into 0 1.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.420 * [backup-simplify]: Simplify (+ 1 1) into 2 1.420 * [taylor]: Taking taylor expansion of 2 in im 1.420 * [backup-simplify]: Simplify 2 into 2 1.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.421 * [backup-simplify]: Simplify (+ 0 0) into 0 1.421 * [taylor]: Taking taylor expansion of 0 in im 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 2 into 2 1.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.422 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.423 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.423 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.423 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.423 * [taylor]: Taking taylor expansion of 1/2 in im 1.423 * [backup-simplify]: Simplify 1/2 into 1/2 1.423 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.423 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.424 * [taylor]: Taking taylor expansion of im in im 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify 1 into 1 1.424 * [backup-simplify]: Simplify (* 1 1) into 1 1.424 * [backup-simplify]: Simplify (/ 1 1) into 1 1.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.425 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.426 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.427 * [backup-simplify]: Simplify (+ 0 0) into 0 1.428 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.428 * [backup-simplify]: Simplify (+ 0 0) into 0 1.428 * [taylor]: Taking taylor expansion of 0 in im 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.429 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 1.430 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 1.430 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 1.430 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.430 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.430 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.430 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.430 * [taylor]: Taking taylor expansion of re in im 1.430 * [backup-simplify]: Simplify re into re 1.430 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.430 * [taylor]: Taking taylor expansion of im in im 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 1 into 1 1.430 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.430 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.430 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.430 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.430 * [backup-simplify]: Simplify (+ 0 0) into 0 1.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.431 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.431 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.431 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.431 * [taylor]: Taking taylor expansion of re in re 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify 1 into 1 1.431 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.431 * [taylor]: Taking taylor expansion of im in re 1.431 * [backup-simplify]: Simplify im into im 1.431 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.431 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.431 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.431 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.431 * [backup-simplify]: Simplify (+ 0 0) into 0 1.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.431 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.431 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.431 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.431 * [taylor]: Taking taylor expansion of re in re 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify 1 into 1 1.431 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.431 * [taylor]: Taking taylor expansion of im in re 1.431 * [backup-simplify]: Simplify im into im 1.432 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.432 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.432 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.432 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.432 * [backup-simplify]: Simplify (+ 0 0) into 0 1.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.432 * [taylor]: Taking taylor expansion of im in im 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 1 into 1 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [taylor]: Taking taylor expansion of 0 in im 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 1 into 1 1.432 * [backup-simplify]: Simplify (* 1 1) into 1 1.433 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.433 * [backup-simplify]: Simplify (+ 1 0) into 1 1.433 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.433 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.433 * [taylor]: Taking taylor expansion of 1/2 in im 1.433 * [backup-simplify]: Simplify 1/2 into 1/2 1.434 * [taylor]: Taking taylor expansion of im in im 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify 1 into 1 1.434 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.435 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.435 * [backup-simplify]: Simplify (+ 0 0) into 0 1.435 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.435 * [taylor]: Taking taylor expansion of 0 in im 1.435 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.436 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.437 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.437 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.437 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.437 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.437 * [taylor]: Taking taylor expansion of im in im 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 1 into 1 1.437 * [backup-simplify]: Simplify (* 1 1) into 1 1.437 * [backup-simplify]: Simplify (/ 1 1) into 1 1.437 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.437 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.437 * [taylor]: Taking taylor expansion of re in im 1.437 * [backup-simplify]: Simplify re into re 1.437 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.437 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.438 * [backup-simplify]: Simplify (+ 1 0) into 1 1.438 * [backup-simplify]: Simplify (sqrt 1) into 1 1.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.439 * [backup-simplify]: Simplify (+ 0 0) into 0 1.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.439 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.439 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.439 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.439 * [taylor]: Taking taylor expansion of im in re 1.439 * [backup-simplify]: Simplify im into im 1.439 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.439 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.439 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.439 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.439 * [taylor]: Taking taylor expansion of re in re 1.439 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 1 into 1 1.440 * [backup-simplify]: Simplify (* 1 1) into 1 1.440 * [backup-simplify]: Simplify (/ 1 1) into 1 1.440 * [backup-simplify]: Simplify (+ 0 1) into 1 1.440 * [backup-simplify]: Simplify (sqrt 1) into 1 1.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.441 * [backup-simplify]: Simplify (+ 0 0) into 0 1.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.442 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.442 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.442 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.442 * [taylor]: Taking taylor expansion of im in re 1.442 * [backup-simplify]: Simplify im into im 1.442 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.442 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.442 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.442 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.442 * [taylor]: Taking taylor expansion of re in re 1.442 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify 1 into 1 1.442 * [backup-simplify]: Simplify (* 1 1) into 1 1.443 * [backup-simplify]: Simplify (/ 1 1) into 1 1.443 * [backup-simplify]: Simplify (+ 0 1) into 1 1.443 * [backup-simplify]: Simplify (sqrt 1) into 1 1.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.444 * [backup-simplify]: Simplify (+ 0 0) into 0 1.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.444 * [taylor]: Taking taylor expansion of 1 in im 1.444 * [backup-simplify]: Simplify 1 into 1 1.444 * [taylor]: Taking taylor expansion of 0 in im 1.444 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify 1 into 1 1.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.446 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.446 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.446 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.446 * [taylor]: Taking taylor expansion of 1/2 in im 1.446 * [backup-simplify]: Simplify 1/2 into 1/2 1.446 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.446 * [taylor]: Taking taylor expansion of im in im 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify 1 into 1 1.447 * [backup-simplify]: Simplify (* 1 1) into 1 1.447 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.452 * [backup-simplify]: Simplify (+ 0 0) into 0 1.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.452 * [taylor]: Taking taylor expansion of 0 in im 1.452 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.454 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.454 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.454 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.454 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.454 * [taylor]: Taking taylor expansion of im in im 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 1 into 1 1.454 * [backup-simplify]: Simplify (* 1 1) into 1 1.454 * [backup-simplify]: Simplify (/ 1 1) into 1 1.455 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.455 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.455 * [taylor]: Taking taylor expansion of re in im 1.455 * [backup-simplify]: Simplify re into re 1.455 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.455 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.455 * [backup-simplify]: Simplify (+ 1 0) into 1 1.455 * [backup-simplify]: Simplify (sqrt 1) into 1 1.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.456 * [backup-simplify]: Simplify (+ 0 0) into 0 1.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.457 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.457 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.457 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.457 * [taylor]: Taking taylor expansion of im in re 1.457 * [backup-simplify]: Simplify im into im 1.457 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.457 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.457 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.457 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.457 * [taylor]: Taking taylor expansion of re in re 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 1 into 1 1.457 * [backup-simplify]: Simplify (* 1 1) into 1 1.457 * [backup-simplify]: Simplify (/ 1 1) into 1 1.458 * [backup-simplify]: Simplify (+ 0 1) into 1 1.458 * [backup-simplify]: Simplify (sqrt 1) into 1 1.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.459 * [backup-simplify]: Simplify (+ 0 0) into 0 1.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.459 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.459 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.459 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.459 * [taylor]: Taking taylor expansion of im in re 1.459 * [backup-simplify]: Simplify im into im 1.459 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.459 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.459 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.459 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.459 * [taylor]: Taking taylor expansion of re in re 1.459 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify 1 into 1 1.460 * [backup-simplify]: Simplify (* 1 1) into 1 1.460 * [backup-simplify]: Simplify (/ 1 1) into 1 1.460 * [backup-simplify]: Simplify (+ 0 1) into 1 1.460 * [backup-simplify]: Simplify (sqrt 1) into 1 1.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.461 * [backup-simplify]: Simplify (+ 0 0) into 0 1.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.462 * [taylor]: Taking taylor expansion of 1 in im 1.462 * [backup-simplify]: Simplify 1 into 1 1.462 * [taylor]: Taking taylor expansion of 0 in im 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 1 into 1 1.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.463 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.464 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.464 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.464 * [taylor]: Taking taylor expansion of 1/2 in im 1.464 * [backup-simplify]: Simplify 1/2 into 1/2 1.464 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.464 * [taylor]: Taking taylor expansion of im in im 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify 1 into 1 1.464 * [backup-simplify]: Simplify (* 1 1) into 1 1.464 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.467 * [backup-simplify]: Simplify (+ 0 0) into 0 1.467 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.467 * [taylor]: Taking taylor expansion of 0 in im 1.467 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.468 * * * [progress]: simplifying candidates 1.470 * [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)))) (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 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (exp (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (* (* (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (- (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (- re) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* 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(* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1)) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 1) (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))))) (* (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h0 h1 (* -1 h1) h0 h1 (* -1 h1) (- h0 h1) 0 (* -2 h1) h0 h1 (* -1 h1) 1.477 * * [simplify]: iteration 0 : 261 enodes (cost 1112 ) 1.483 * * [simplify]: iteration 1 : 935 enodes (cost 975 ) 1.509 * * [simplify]: iteration 2 : 5001 enodes (cost 951 ) 1.514 * * * [progress]: adding candidates to table 1.784 * * [progress]: iteration 4 / 4 1.784 * * * [progress]: picking best candidate 1.801 * * * * [pick]: Picked # 1.801 * * * [progress]: localizing error 1.819 * * * [progress]: generating rewritten candidates 1.819 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 1 2 1) 1.827 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 1 1 1) 1.834 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1 1 2 1) 1.842 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1 1) 1.851 * * * [progress]: generating series expansions 1.851 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 1 2 1) 1.851 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.851 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.851 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.851 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.851 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.851 * [taylor]: Taking taylor expansion of re in im 1.851 * [backup-simplify]: Simplify re into re 1.851 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.851 * [taylor]: Taking taylor expansion of im in im 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify 1 into 1 1.851 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.851 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.851 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.851 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.852 * [backup-simplify]: Simplify (+ 0 0) into 0 1.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.852 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.852 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.852 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.852 * [taylor]: Taking taylor expansion of re in re 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify 1 into 1 1.852 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.852 * [taylor]: Taking taylor expansion of im in re 1.852 * [backup-simplify]: Simplify im into im 1.852 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.852 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.852 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.852 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.853 * [backup-simplify]: Simplify (+ 0 0) into 0 1.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.853 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.853 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.853 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.853 * [taylor]: Taking taylor expansion of re in re 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 1 into 1 1.853 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.853 * [taylor]: Taking taylor expansion of im in re 1.853 * [backup-simplify]: Simplify im into im 1.853 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.853 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.853 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.853 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.854 * [backup-simplify]: Simplify (+ 0 0) into 0 1.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.854 * [taylor]: Taking taylor expansion of im in im 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 1 into 1 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [taylor]: Taking taylor expansion of 0 in im 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 1 into 1 1.854 * [backup-simplify]: Simplify (* 1 1) into 1 1.854 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.855 * [backup-simplify]: Simplify (+ 1 0) into 1 1.855 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.855 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.855 * [taylor]: Taking taylor expansion of 1/2 in im 1.855 * [backup-simplify]: Simplify 1/2 into 1/2 1.855 * [taylor]: Taking taylor expansion of im in im 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 1 into 1 1.855 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.857 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.857 * [backup-simplify]: Simplify (+ 0 0) into 0 1.857 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.857 * [taylor]: Taking taylor expansion of 0 in im 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.858 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.858 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.858 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.858 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.858 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.858 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.858 * [taylor]: Taking taylor expansion of im in im 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 1 into 1 1.858 * [backup-simplify]: Simplify (* 1 1) into 1 1.861 * [backup-simplify]: Simplify (/ 1 1) into 1 1.861 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.861 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.861 * [taylor]: Taking taylor expansion of re in im 1.861 * [backup-simplify]: Simplify re into re 1.861 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.861 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.862 * [backup-simplify]: Simplify (+ 1 0) into 1 1.862 * [backup-simplify]: Simplify (sqrt 1) into 1 1.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.863 * [backup-simplify]: Simplify (+ 0 0) into 0 1.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.863 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.863 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.863 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.863 * [taylor]: Taking taylor expansion of im in re 1.863 * [backup-simplify]: Simplify im into im 1.864 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.864 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.864 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.864 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.864 * [taylor]: Taking taylor expansion of re in re 1.864 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify 1 into 1 1.864 * [backup-simplify]: Simplify (* 1 1) into 1 1.864 * [backup-simplify]: Simplify (/ 1 1) into 1 1.864 * [backup-simplify]: Simplify (+ 0 1) into 1 1.865 * [backup-simplify]: Simplify (sqrt 1) into 1 1.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.866 * [backup-simplify]: Simplify (+ 0 0) into 0 1.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.866 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.866 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.866 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.866 * [taylor]: Taking taylor expansion of im in re 1.866 * [backup-simplify]: Simplify im into im 1.866 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.866 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.866 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.866 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.866 * [taylor]: Taking taylor expansion of re in re 1.866 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify 1 into 1 1.867 * [backup-simplify]: Simplify (* 1 1) into 1 1.867 * [backup-simplify]: Simplify (/ 1 1) into 1 1.867 * [backup-simplify]: Simplify (+ 0 1) into 1 1.867 * [backup-simplify]: Simplify (sqrt 1) into 1 1.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.868 * [backup-simplify]: Simplify (+ 0 0) into 0 1.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.869 * [taylor]: Taking taylor expansion of 1 in im 1.869 * [backup-simplify]: Simplify 1 into 1 1.869 * [taylor]: Taking taylor expansion of 0 in im 1.869 * [backup-simplify]: Simplify 0 into 0 1.869 * [backup-simplify]: Simplify 1 into 1 1.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.870 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.871 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.871 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.871 * [taylor]: Taking taylor expansion of 1/2 in im 1.871 * [backup-simplify]: Simplify 1/2 into 1/2 1.871 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.871 * [taylor]: Taking taylor expansion of im in im 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 1 into 1 1.871 * [backup-simplify]: Simplify (* 1 1) into 1 1.872 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.874 * [backup-simplify]: Simplify (+ 0 0) into 0 1.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.874 * [taylor]: Taking taylor expansion of 0 in im 1.874 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.876 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.876 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.876 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.876 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.876 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.876 * [taylor]: Taking taylor expansion of im in im 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 1 into 1 1.876 * [backup-simplify]: Simplify (* 1 1) into 1 1.876 * [backup-simplify]: Simplify (/ 1 1) into 1 1.876 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.876 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.876 * [taylor]: Taking taylor expansion of re in im 1.876 * [backup-simplify]: Simplify re into re 1.876 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.877 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.877 * [backup-simplify]: Simplify (+ 1 0) into 1 1.877 * [backup-simplify]: Simplify (sqrt 1) into 1 1.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.878 * [backup-simplify]: Simplify (+ 0 0) into 0 1.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.878 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.878 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.878 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.878 * [taylor]: Taking taylor expansion of im in re 1.878 * [backup-simplify]: Simplify im into im 1.879 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.879 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.879 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.879 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.879 * [taylor]: Taking taylor expansion of re in re 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 1 into 1 1.879 * [backup-simplify]: Simplify (* 1 1) into 1 1.879 * [backup-simplify]: Simplify (/ 1 1) into 1 1.879 * [backup-simplify]: Simplify (+ 0 1) into 1 1.880 * [backup-simplify]: Simplify (sqrt 1) into 1 1.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.881 * [backup-simplify]: Simplify (+ 0 0) into 0 1.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.881 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.881 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.881 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) 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 * [backup-simplify]: Simplify im into im 1.881 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.881 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.881 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 1 into 1 1.882 * [backup-simplify]: Simplify (* 1 1) into 1 1.882 * [backup-simplify]: Simplify (/ 1 1) into 1 1.882 * [backup-simplify]: Simplify (+ 0 1) into 1 1.882 * [backup-simplify]: Simplify (sqrt 1) into 1 1.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.883 * [backup-simplify]: Simplify (+ 0 0) into 0 1.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.884 * [taylor]: Taking taylor expansion of 1 in im 1.884 * [backup-simplify]: Simplify 1 into 1 1.884 * [taylor]: Taking taylor expansion of 0 in im 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.885 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.886 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.886 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.886 * [taylor]: Taking taylor expansion of 1/2 in im 1.886 * [backup-simplify]: Simplify 1/2 into 1/2 1.886 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.886 * [taylor]: Taking taylor expansion of im in im 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 1 into 1 1.886 * [backup-simplify]: Simplify (* 1 1) into 1 1.886 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.889 * [backup-simplify]: Simplify (+ 0 0) into 0 1.889 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.889 * [taylor]: Taking taylor expansion of 0 in im 1.889 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.890 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 1 1 1) 1.891 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.891 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.891 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.891 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.891 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.891 * [taylor]: Taking taylor expansion of re in im 1.891 * [backup-simplify]: Simplify re into re 1.891 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.891 * [taylor]: Taking taylor expansion of im in im 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify 1 into 1 1.891 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.891 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.891 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.891 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.891 * [backup-simplify]: Simplify (+ 0 0) into 0 1.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.891 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.891 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.891 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.891 * [taylor]: Taking taylor expansion of re in re 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify 1 into 1 1.891 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.891 * [taylor]: Taking taylor expansion of im in re 1.891 * [backup-simplify]: Simplify im into im 1.892 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.892 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.892 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.892 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.892 * [backup-simplify]: Simplify (+ 0 0) into 0 1.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.892 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.892 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify 1 into 1 1.892 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.892 * [taylor]: Taking taylor expansion of im in re 1.892 * [backup-simplify]: Simplify im into im 1.892 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.892 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.892 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.892 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.893 * [backup-simplify]: Simplify (+ 0 0) into 0 1.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.893 * [taylor]: Taking taylor expansion of im in im 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify 1 into 1 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [taylor]: Taking taylor expansion of 0 in im 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify 1 into 1 1.893 * [backup-simplify]: Simplify (* 1 1) into 1 1.893 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.894 * [backup-simplify]: Simplify (+ 1 0) into 1 1.894 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.894 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.894 * [taylor]: Taking taylor expansion of 1/2 in im 1.894 * [backup-simplify]: Simplify 1/2 into 1/2 1.894 * [taylor]: Taking taylor expansion of im in im 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 1 into 1 1.895 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.896 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.896 * [backup-simplify]: Simplify (+ 0 0) into 0 1.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.896 * [taylor]: Taking taylor expansion of 0 in im 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.897 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.897 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.897 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.897 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.897 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.897 * [taylor]: Taking taylor expansion of im in im 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify 1 into 1 1.897 * [backup-simplify]: Simplify (* 1 1) into 1 1.898 * [backup-simplify]: Simplify (/ 1 1) into 1 1.898 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.898 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.898 * [taylor]: Taking taylor expansion of re in im 1.898 * [backup-simplify]: Simplify re into re 1.898 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.898 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.898 * [backup-simplify]: Simplify (+ 1 0) into 1 1.898 * [backup-simplify]: Simplify (sqrt 1) into 1 1.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify (+ 0 0) into 0 1.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.900 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.900 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.900 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.900 * [taylor]: Taking taylor expansion of im in re 1.900 * [backup-simplify]: Simplify im into im 1.900 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.900 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.900 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.900 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.900 * [taylor]: Taking taylor expansion of re in re 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify 1 into 1 1.900 * [backup-simplify]: Simplify (* 1 1) into 1 1.901 * [backup-simplify]: Simplify (/ 1 1) into 1 1.901 * [backup-simplify]: Simplify (+ 0 1) into 1 1.901 * [backup-simplify]: Simplify (sqrt 1) into 1 1.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.902 * [backup-simplify]: Simplify (+ 0 0) into 0 1.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.902 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.902 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.902 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.903 * [taylor]: Taking taylor expansion of im in re 1.903 * [backup-simplify]: Simplify im into im 1.903 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.903 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 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 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 1 into 1 1.903 * [backup-simplify]: Simplify (* 1 1) into 1 1.903 * [backup-simplify]: Simplify (/ 1 1) into 1 1.903 * [backup-simplify]: Simplify (+ 0 1) into 1 1.904 * [backup-simplify]: Simplify (sqrt 1) into 1 1.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.905 * [backup-simplify]: Simplify (+ 0 0) into 0 1.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.905 * [taylor]: Taking taylor expansion of 1 in im 1.905 * [backup-simplify]: Simplify 1 into 1 1.905 * [taylor]: Taking taylor expansion of 0 in im 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 1 into 1 1.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.906 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.907 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.907 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.907 * [taylor]: Taking taylor expansion of 1/2 in im 1.907 * [backup-simplify]: Simplify 1/2 into 1/2 1.907 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.907 * [taylor]: Taking taylor expansion of im in im 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [backup-simplify]: Simplify (* 1 1) into 1 1.908 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.910 * [backup-simplify]: Simplify (+ 0 0) into 0 1.910 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.910 * [taylor]: Taking taylor expansion of 0 in im 1.910 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.912 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.912 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.912 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.912 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.912 * [taylor]: Taking taylor expansion of im in im 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [backup-simplify]: Simplify (* 1 1) into 1 1.912 * [backup-simplify]: Simplify (/ 1 1) into 1 1.912 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.912 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.912 * [taylor]: Taking taylor expansion of re in im 1.912 * [backup-simplify]: Simplify re into re 1.912 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.913 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.913 * [backup-simplify]: Simplify (+ 1 0) into 1 1.913 * [backup-simplify]: Simplify (sqrt 1) into 1 1.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.914 * [backup-simplify]: Simplify (+ 0 0) into 0 1.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.914 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.914 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.914 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.914 * [taylor]: Taking taylor expansion of im in re 1.914 * [backup-simplify]: Simplify im into im 1.914 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.915 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.915 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.915 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.915 * [taylor]: Taking taylor expansion of re in re 1.915 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify 1 into 1 1.915 * [backup-simplify]: Simplify (* 1 1) into 1 1.915 * [backup-simplify]: Simplify (/ 1 1) into 1 1.915 * [backup-simplify]: Simplify (+ 0 1) into 1 1.916 * [backup-simplify]: Simplify (sqrt 1) into 1 1.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.917 * [backup-simplify]: Simplify (+ 0 0) into 0 1.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.917 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.917 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.917 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.917 * [taylor]: Taking taylor expansion of im in re 1.917 * [backup-simplify]: Simplify im into im 1.917 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.917 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.917 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.917 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.917 * [taylor]: Taking taylor expansion of re in re 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 1 into 1 1.917 * [backup-simplify]: Simplify (* 1 1) into 1 1.918 * [backup-simplify]: Simplify (/ 1 1) into 1 1.918 * [backup-simplify]: Simplify (+ 0 1) into 1 1.918 * [backup-simplify]: Simplify (sqrt 1) into 1 1.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.919 * [backup-simplify]: Simplify (+ 0 0) into 0 1.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.920 * [taylor]: Taking taylor expansion of 1 in im 1.920 * [backup-simplify]: Simplify 1 into 1 1.920 * [taylor]: Taking taylor expansion of 0 in im 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify 1 into 1 1.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.921 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.922 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.922 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.922 * [taylor]: Taking taylor expansion of 1/2 in im 1.922 * [backup-simplify]: Simplify 1/2 into 1/2 1.922 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.922 * [taylor]: Taking taylor expansion of im in im 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 1 into 1 1.922 * [backup-simplify]: Simplify (* 1 1) into 1 1.922 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.925 * [backup-simplify]: Simplify (+ 0 0) into 0 1.925 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.925 * [taylor]: Taking taylor expansion of 0 in im 1.925 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.926 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1 1 2 1) 1.926 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.927 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.927 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.927 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.927 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.927 * [taylor]: Taking taylor expansion of re in im 1.927 * [backup-simplify]: Simplify re into re 1.927 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.927 * [taylor]: Taking taylor expansion of im in im 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 1 into 1 1.927 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.927 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.927 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.927 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.927 * [backup-simplify]: Simplify (+ 0 0) into 0 1.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.927 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.927 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 1 into 1 1.927 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.927 * [taylor]: Taking taylor expansion of im in re 1.927 * [backup-simplify]: Simplify im into im 1.928 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.928 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.928 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.928 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.928 * [backup-simplify]: Simplify (+ 0 0) into 0 1.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.928 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.928 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.928 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.928 * [taylor]: Taking taylor expansion of re in re 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.928 * [taylor]: Taking taylor expansion of im in re 1.928 * [backup-simplify]: Simplify im into im 1.928 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.928 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.928 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.928 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.929 * [backup-simplify]: Simplify (+ 0 0) into 0 1.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.929 * [taylor]: Taking taylor expansion of im in im 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 1 into 1 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [taylor]: Taking taylor expansion of 0 in im 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 1 into 1 1.929 * [backup-simplify]: Simplify (* 1 1) into 1 1.929 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.930 * [backup-simplify]: Simplify (+ 1 0) into 1 1.930 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.930 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.930 * [taylor]: Taking taylor expansion of 1/2 in im 1.930 * [backup-simplify]: Simplify 1/2 into 1/2 1.930 * [taylor]: Taking taylor expansion of im in im 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify 1 into 1 1.930 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.932 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.932 * [backup-simplify]: Simplify (+ 0 0) into 0 1.932 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.932 * [taylor]: Taking taylor expansion of 0 in im 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.933 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.933 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.933 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.933 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.933 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.933 * [taylor]: Taking taylor expansion of im in im 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 1 into 1 1.933 * [backup-simplify]: Simplify (* 1 1) into 1 1.934 * [backup-simplify]: Simplify (/ 1 1) into 1 1.934 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.934 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.934 * [taylor]: Taking taylor expansion of re in im 1.934 * [backup-simplify]: Simplify re into re 1.934 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.934 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.934 * [backup-simplify]: Simplify (+ 1 0) into 1 1.934 * [backup-simplify]: Simplify (sqrt 1) into 1 1.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.935 * [backup-simplify]: Simplify (+ 0 0) into 0 1.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.936 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.936 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.936 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.936 * [taylor]: Taking taylor expansion of im in re 1.936 * [backup-simplify]: Simplify im into im 1.936 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.936 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.936 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.936 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.936 * [taylor]: Taking taylor expansion of re in re 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 1 into 1 1.936 * [backup-simplify]: Simplify (* 1 1) into 1 1.936 * [backup-simplify]: Simplify (/ 1 1) into 1 1.937 * [backup-simplify]: Simplify (+ 0 1) into 1 1.937 * [backup-simplify]: Simplify (sqrt 1) into 1 1.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.938 * [backup-simplify]: Simplify (+ 0 0) into 0 1.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 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 * [backup-simplify]: Simplify im into im 1.939 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.939 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.939 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.939 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.939 * [taylor]: Taking taylor expansion of re in re 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify (* 1 1) into 1 1.939 * [backup-simplify]: Simplify (/ 1 1) into 1 1.940 * [backup-simplify]: Simplify (+ 0 1) into 1 1.940 * [backup-simplify]: Simplify (sqrt 1) into 1 1.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.941 * [backup-simplify]: Simplify (+ 0 0) into 0 1.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.941 * [taylor]: Taking taylor expansion of 1 in im 1.941 * [backup-simplify]: Simplify 1 into 1 1.941 * [taylor]: Taking taylor expansion of 0 in im 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 1 into 1 1.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.943 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.943 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.943 * [taylor]: Taking taylor expansion of 1/2 in im 1.943 * [backup-simplify]: Simplify 1/2 into 1/2 1.943 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.943 * [taylor]: Taking taylor expansion of im in im 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.944 * [backup-simplify]: Simplify (* 1 1) into 1 1.944 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.946 * [backup-simplify]: Simplify (+ 0 0) into 0 1.947 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.947 * [taylor]: Taking taylor expansion of 0 in im 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.948 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.948 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.948 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.948 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.948 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.948 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.948 * [taylor]: Taking taylor expansion of im in im 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (* 1 1) into 1 1.949 * [backup-simplify]: Simplify (/ 1 1) into 1 1.949 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.949 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.949 * [taylor]: Taking taylor expansion of re in im 1.949 * [backup-simplify]: Simplify re into re 1.949 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.949 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.949 * [backup-simplify]: Simplify (+ 1 0) into 1 1.949 * [backup-simplify]: Simplify (sqrt 1) into 1 1.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.950 * [backup-simplify]: Simplify (+ 0 0) into 0 1.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.951 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.951 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.951 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.951 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.951 * [taylor]: Taking taylor expansion of im in re 1.951 * [backup-simplify]: Simplify im into im 1.951 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.951 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.951 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.951 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.951 * [taylor]: Taking taylor expansion of re in re 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 1 into 1 1.951 * [backup-simplify]: Simplify (* 1 1) into 1 1.951 * [backup-simplify]: Simplify (/ 1 1) into 1 1.952 * [backup-simplify]: Simplify (+ 0 1) into 1 1.952 * [backup-simplify]: Simplify (sqrt 1) into 1 1.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.953 * [backup-simplify]: Simplify (+ 0 0) into 0 1.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.953 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.953 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.953 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.953 * [taylor]: Taking taylor expansion of im in re 1.953 * [backup-simplify]: Simplify im into im 1.953 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.954 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.954 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.954 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.954 * [taylor]: Taking taylor expansion of re in re 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify 1 into 1 1.954 * [backup-simplify]: Simplify (* 1 1) into 1 1.954 * [backup-simplify]: Simplify (/ 1 1) into 1 1.954 * [backup-simplify]: Simplify (+ 0 1) into 1 1.955 * [backup-simplify]: Simplify (sqrt 1) into 1 1.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.958 * [backup-simplify]: Simplify (+ 0 0) into 0 1.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.958 * [taylor]: Taking taylor expansion of 1 in im 1.959 * [backup-simplify]: Simplify 1 into 1 1.959 * [taylor]: Taking taylor expansion of 0 in im 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.960 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.961 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.961 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.961 * [taylor]: Taking taylor expansion of 1/2 in im 1.961 * [backup-simplify]: Simplify 1/2 into 1/2 1.961 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.961 * [taylor]: Taking taylor expansion of im in im 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 1 into 1 1.961 * [backup-simplify]: Simplify (* 1 1) into 1 1.961 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.964 * [backup-simplify]: Simplify (+ 0 0) into 0 1.964 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.964 * [taylor]: Taking taylor expansion of 0 in im 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.965 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1 1 1 1) 1.965 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.965 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.965 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.965 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.965 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.965 * [taylor]: Taking taylor expansion of re in im 1.965 * [backup-simplify]: Simplify re into re 1.965 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.965 * [taylor]: Taking taylor expansion of im in im 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 1 into 1 1.966 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.966 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.966 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.966 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.966 * [backup-simplify]: Simplify (+ 0 0) into 0 1.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.966 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.966 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.966 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.966 * [taylor]: Taking taylor expansion of im in re 1.966 * [backup-simplify]: Simplify im into im 1.966 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.966 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.966 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.966 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.967 * [backup-simplify]: Simplify (+ 0 0) into 0 1.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.967 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.967 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.967 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.967 * [taylor]: Taking taylor expansion of re in re 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 1 into 1 1.967 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.967 * [taylor]: Taking taylor expansion of im in re 1.967 * [backup-simplify]: Simplify im into im 1.967 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.967 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.967 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.967 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.967 * [backup-simplify]: Simplify (+ 0 0) into 0 1.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.968 * [taylor]: Taking taylor expansion of im in im 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [taylor]: Taking taylor expansion of 0 in im 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [backup-simplify]: Simplify (* 1 1) into 1 1.968 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.968 * [backup-simplify]: Simplify (+ 1 0) into 1 1.969 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.969 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.969 * [taylor]: Taking taylor expansion of 1/2 in im 1.969 * [backup-simplify]: Simplify 1/2 into 1/2 1.969 * [taylor]: Taking taylor expansion of im in im 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.971 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.971 * [backup-simplify]: Simplify (+ 0 0) into 0 1.971 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.971 * [taylor]: Taking taylor expansion of 0 in im 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.972 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.972 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.972 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.972 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.972 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.972 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.972 * [taylor]: Taking taylor expansion of im in im 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify (* 1 1) into 1 1.973 * [backup-simplify]: Simplify (/ 1 1) into 1 1.973 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.973 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.973 * [taylor]: Taking taylor expansion of re in im 1.973 * [backup-simplify]: Simplify re into re 1.973 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.973 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.973 * [backup-simplify]: Simplify (+ 1 0) into 1 1.973 * [backup-simplify]: Simplify (sqrt 1) into 1 1.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.974 * [backup-simplify]: Simplify (+ 0 0) into 0 1.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.975 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.975 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.975 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.975 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.975 * [taylor]: Taking taylor expansion of im in re 1.975 * [backup-simplify]: Simplify im into im 1.975 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.975 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.975 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.975 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.975 * [taylor]: Taking taylor expansion of re in re 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [backup-simplify]: Simplify (* 1 1) into 1 1.976 * [backup-simplify]: Simplify (/ 1 1) into 1 1.976 * [backup-simplify]: Simplify (+ 0 1) into 1 1.976 * [backup-simplify]: Simplify (sqrt 1) into 1 1.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.977 * [backup-simplify]: Simplify (+ 0 0) into 0 1.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.977 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.977 * [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 * [backup-simplify]: Simplify im into im 1.978 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.978 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 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 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 1 into 1 1.978 * [backup-simplify]: Simplify (* 1 1) into 1 1.978 * [backup-simplify]: Simplify (/ 1 1) into 1 1.978 * [backup-simplify]: Simplify (+ 0 1) into 1 1.979 * [backup-simplify]: Simplify (sqrt 1) into 1 1.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.980 * [backup-simplify]: Simplify (+ 0 0) into 0 1.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.980 * [taylor]: Taking taylor expansion of 1 in im 1.980 * [backup-simplify]: Simplify 1 into 1 1.980 * [taylor]: Taking taylor expansion of 0 in im 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.981 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.982 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.982 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.982 * [taylor]: Taking taylor expansion of 1/2 in im 1.982 * [backup-simplify]: Simplify 1/2 into 1/2 1.982 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.982 * [taylor]: Taking taylor expansion of im in im 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify 1 into 1 1.982 * [backup-simplify]: Simplify (* 1 1) into 1 1.983 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.985 * [backup-simplify]: Simplify (+ 0 0) into 0 1.985 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.985 * [taylor]: Taking taylor expansion of 0 in im 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.987 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.987 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.987 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.987 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.987 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.987 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.987 * [taylor]: Taking taylor expansion of im in im 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 1 into 1 1.987 * [backup-simplify]: Simplify (* 1 1) into 1 1.987 * [backup-simplify]: Simplify (/ 1 1) into 1 1.987 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.987 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.987 * [taylor]: Taking taylor expansion of re in im 1.987 * [backup-simplify]: Simplify re into re 1.988 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.988 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.988 * [backup-simplify]: Simplify (+ 1 0) into 1 1.988 * [backup-simplify]: Simplify (sqrt 1) into 1 1.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.989 * [backup-simplify]: Simplify (+ 0 0) into 0 1.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.989 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.990 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.990 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.990 * [taylor]: Taking taylor expansion of im in re 1.990 * [backup-simplify]: Simplify im into im 1.990 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.990 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.990 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [backup-simplify]: Simplify (* 1 1) into 1 1.990 * [backup-simplify]: Simplify (/ 1 1) into 1 1.990 * [backup-simplify]: Simplify (+ 0 1) into 1 1.991 * [backup-simplify]: Simplify (sqrt 1) into 1 1.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.992 * [backup-simplify]: Simplify (+ 0 0) into 0 1.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.992 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.992 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.992 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.992 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.992 * [taylor]: Taking taylor expansion of im in re 1.992 * [backup-simplify]: Simplify im into im 1.992 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.992 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.992 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.992 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.992 * [taylor]: Taking taylor expansion of re in re 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.993 * [backup-simplify]: Simplify (* 1 1) into 1 1.993 * [backup-simplify]: Simplify (/ 1 1) into 1 1.993 * [backup-simplify]: Simplify (+ 0 1) into 1 1.993 * [backup-simplify]: Simplify (sqrt 1) into 1 1.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.994 * [backup-simplify]: Simplify (+ 0 0) into 0 1.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.995 * [taylor]: Taking taylor expansion of 1 in im 1.995 * [backup-simplify]: Simplify 1 into 1 1.995 * [taylor]: Taking taylor expansion of 0 in im 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 1 into 1 1.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.996 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.997 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.997 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.997 * [taylor]: Taking taylor expansion of 1/2 in im 1.997 * [backup-simplify]: Simplify 1/2 into 1/2 1.997 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.997 * [taylor]: Taking taylor expansion of im in im 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.997 * [backup-simplify]: Simplify (* 1 1) into 1 1.997 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.998 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.000 * [backup-simplify]: Simplify (+ 0 0) into 0 2.000 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.000 * [taylor]: Taking taylor expansion of 0 in im 2.000 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.001 * * * [progress]: simplifying candidates 2.002 * [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)))) (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)))) (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)))) (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) 2.002 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) h0 h1 (* -1 h1) h0 h1 (* -1 h1) h0 h1 (* -1 h1) h0 h1 (* -1 h1) 2.005 * * [simplify]: iteration 0 : 89 enodes (cost 400 ) 2.007 * * [simplify]: iteration 1 : 215 enodes (cost 388 ) 2.011 * * [simplify]: iteration 2 : 503 enodes (cost 388 ) 2.020 * * [simplify]: iteration 3 : 1265 enodes (cost 388 ) 2.048 * * [simplify]: iteration 4 : 4227 enodes (cost 388 ) 2.137 * * [simplify]: iteration 5 : 5002 enodes (cost 384 ) 2.139 * * * [progress]: adding candidates to table 2.439 * [progress]: [Phase 3 of 3] Extracting. 2.439 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.442 * * * [regime-changes]: Trying 4 branch expressions: ((* im im) (- (sqrt (+ (* re re) (* im im))) re) im re) 2.442 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #) 2.495 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # #) 2.546 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # #) 2.587 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 2.649 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 2.699 * * * [regime]: Found split indices: #