51.736 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.028 * [simplify]: Sending expressions to egg_math: (* h3 (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) 0.031 * * [simplify]: iteration 0 : 22 enodes (cost 8 ) 0.032 * * [simplify]: iteration 1 : 24 enodes (cost 8 ) 0.033 * * [simplify]: iteration 2 : 24 enodes (cost 8 ) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.046 * * * [progress]: generating rewritten candidates 0.046 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.054 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.085 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.108 * * * [progress]: generating series expansions 0.109 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.109 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.109 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.109 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.109 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.109 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.109 * [taylor]: Taking taylor expansion of re in im 0.109 * [backup-simplify]: Simplify re into re 0.109 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.109 * [taylor]: Taking taylor expansion of im in im 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.109 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.109 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.109 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.110 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.110 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.110 * [taylor]: Taking taylor expansion of re in re 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.110 * [taylor]: Taking taylor expansion of im in re 0.110 * [backup-simplify]: Simplify im into im 0.110 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.110 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.110 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.110 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.111 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.111 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.111 * [taylor]: Taking taylor expansion of re in re 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.111 * [taylor]: Taking taylor expansion of im in re 0.111 * [backup-simplify]: Simplify im into im 0.111 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.111 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.111 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.111 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.111 * [taylor]: Taking taylor expansion of im in im 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [taylor]: Taking taylor expansion of 0 in im 0.111 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (* 1 1) into 1 0.112 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.112 * [backup-simplify]: Simplify (+ 1 0) into 1 0.113 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.113 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.113 * [taylor]: Taking taylor expansion of 1/2 in im 0.113 * [backup-simplify]: Simplify 1/2 into 1/2 0.113 * [taylor]: Taking taylor expansion of im in im 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.115 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.115 * [taylor]: Taking taylor expansion of 0 in im 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.116 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.116 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.116 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.116 * [taylor]: Taking taylor expansion of im in im 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (* 1 1) into 1 0.116 * [backup-simplify]: Simplify (/ 1 1) into 1 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.116 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.116 * [taylor]: Taking taylor expansion of re in im 0.116 * [backup-simplify]: Simplify re into re 0.116 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.117 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.117 * [backup-simplify]: Simplify (+ 1 0) into 1 0.117 * [backup-simplify]: Simplify (sqrt 1) into 1 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.118 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.118 * [taylor]: Taking taylor expansion of im in re 0.119 * [backup-simplify]: Simplify im into im 0.119 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.119 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.119 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.119 * [taylor]: Taking taylor expansion of re in re 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (* 1 1) into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [backup-simplify]: Simplify (+ 0 1) into 1 0.120 * [backup-simplify]: Simplify (sqrt 1) into 1 0.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.121 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.121 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.121 * [taylor]: Taking taylor expansion of im in re 0.121 * [backup-simplify]: Simplify im into im 0.121 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.121 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.121 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.121 * [taylor]: Taking taylor expansion of re in re 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (* 1 1) into 1 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 0.122 * [backup-simplify]: Simplify (+ 0 1) into 1 0.122 * [backup-simplify]: Simplify (sqrt 1) into 1 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.124 * [taylor]: Taking taylor expansion of 1 in im 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [taylor]: Taking taylor expansion of 0 in im 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.126 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.126 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.126 * [taylor]: Taking taylor expansion of 1/2 in im 0.126 * [backup-simplify]: Simplify 1/2 into 1/2 0.126 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.126 * [taylor]: Taking taylor expansion of im in im 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (* 1 1) into 1 0.126 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.129 * [taylor]: Taking taylor expansion of 0 in im 0.129 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 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 0.130 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.130 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.130 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.131 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.131 * [taylor]: Taking taylor expansion of im in im 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (* 1 1) into 1 0.131 * [backup-simplify]: Simplify (/ 1 1) into 1 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.131 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.131 * [taylor]: Taking taylor expansion of re in im 0.131 * [backup-simplify]: Simplify re into re 0.131 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.131 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.132 * [backup-simplify]: Simplify (+ 1 0) into 1 0.132 * [backup-simplify]: Simplify (sqrt 1) into 1 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.133 * [taylor]: Taking taylor expansion of im in re 0.133 * [backup-simplify]: Simplify im into im 0.133 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.133 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.133 * [taylor]: Taking taylor expansion of re in re 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (* 1 1) into 1 0.134 * [backup-simplify]: Simplify (/ 1 1) into 1 0.134 * [backup-simplify]: Simplify (+ 0 1) into 1 0.134 * [backup-simplify]: Simplify (sqrt 1) into 1 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.136 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.136 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.136 * [taylor]: Taking taylor expansion of im in re 0.136 * [backup-simplify]: Simplify im into im 0.136 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.136 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.136 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.136 * [taylor]: Taking taylor expansion of re in re 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.137 * [backup-simplify]: Simplify (+ 0 1) into 1 0.137 * [backup-simplify]: Simplify (sqrt 1) into 1 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.141 * [taylor]: Taking taylor expansion of 1 in im 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [taylor]: Taking taylor expansion of 0 in im 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.143 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.143 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.143 * [taylor]: Taking taylor expansion of 1/2 in im 0.143 * [backup-simplify]: Simplify 1/2 into 1/2 0.143 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.143 * [taylor]: Taking taylor expansion of im in im 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (* 1 1) into 1 0.143 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [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 0.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.146 * [taylor]: Taking taylor expansion of 0 in im 0.146 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [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 (* -1 re) 0.147 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.147 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 0.147 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.148 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.148 * [taylor]: Taking taylor expansion of re in im 0.148 * [backup-simplify]: Simplify re into re 0.148 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.148 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.148 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.148 * [taylor]: Taking taylor expansion of re in im 0.148 * [backup-simplify]: Simplify re into re 0.148 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.148 * [taylor]: Taking taylor expansion of im in im 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.148 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.148 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.148 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.148 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.148 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.148 * [taylor]: Taking taylor expansion of re in re 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.148 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.148 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.148 * [taylor]: Taking taylor expansion of re in re 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.148 * [taylor]: Taking taylor expansion of im in re 0.149 * [backup-simplify]: Simplify im into im 0.149 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.149 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.149 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.149 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.149 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.149 * [taylor]: Taking taylor expansion of re in re 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.149 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.149 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.149 * [taylor]: Taking taylor expansion of re in re 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 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 0.149 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.149 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.150 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.150 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.150 * [backup-simplify]: Simplify (+ 0 im) into im 0.150 * [taylor]: Taking taylor expansion of im in im 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (+ 1 0) into 1 0.150 * [taylor]: Taking taylor expansion of 1 in im 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (* 1 1) into 1 0.151 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.151 * [backup-simplify]: Simplify (+ 1 0) into 1 0.152 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.152 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.152 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.152 * [taylor]: Taking taylor expansion of 1/2 in im 0.152 * [backup-simplify]: Simplify 1/2 into 1/2 0.152 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.152 * [taylor]: Taking taylor expansion of im in im 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 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.154 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [taylor]: Taking taylor expansion of 0 in im 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.155 * [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))))) 0.155 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.156 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.156 * [taylor]: Taking taylor expansion of re in im 0.156 * [backup-simplify]: Simplify re into re 0.156 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.156 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.156 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.156 * [taylor]: Taking taylor expansion of im in im 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (* 1 1) into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.156 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.156 * [taylor]: Taking taylor expansion of re in im 0.156 * [backup-simplify]: Simplify re into re 0.156 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.156 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.157 * [backup-simplify]: Simplify (+ 1 0) into 1 0.157 * [backup-simplify]: Simplify (sqrt 1) into 1 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.158 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.158 * [taylor]: Taking taylor expansion of re in re 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (/ 1 1) into 1 0.159 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.159 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.159 * [taylor]: Taking taylor expansion of im in re 0.159 * [backup-simplify]: Simplify im into im 0.159 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.159 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.159 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.159 * [taylor]: Taking taylor expansion of re in re 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (* 1 1) into 1 0.159 * [backup-simplify]: Simplify (/ 1 1) into 1 0.159 * [backup-simplify]: Simplify (+ 0 1) into 1 0.160 * [backup-simplify]: Simplify (sqrt 1) into 1 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.161 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.161 * [taylor]: Taking taylor expansion of re in re 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.161 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.161 * [taylor]: Taking taylor expansion of im in re 0.161 * [backup-simplify]: Simplify im into im 0.162 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.162 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.162 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.162 * [taylor]: Taking taylor expansion of re in re 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (* 1 1) into 1 0.162 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [backup-simplify]: Simplify (+ 0 1) into 1 0.163 * [backup-simplify]: Simplify (sqrt 1) into 1 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.164 * [backup-simplify]: Simplify (+ 1 1) into 2 0.164 * [taylor]: Taking taylor expansion of 2 in im 0.164 * [backup-simplify]: Simplify 2 into 2 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [taylor]: Taking taylor expansion of 0 in im 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 2 into 2 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.167 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.167 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.167 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.167 * [taylor]: Taking taylor expansion of 1/2 in im 0.167 * [backup-simplify]: Simplify 1/2 into 1/2 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.167 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.167 * [taylor]: Taking taylor expansion of im in im 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (* 1 1) into 1 0.168 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.172 * [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 0 into 0 0.173 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 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 0.176 * [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) 0.179 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.179 * [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 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [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 0.186 * [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 0.187 * [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 0.190 * [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 0.192 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.192 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) 0.192 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.192 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.192 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.193 * [taylor]: Taking taylor expansion of 2.0 in im 0.193 * [backup-simplify]: Simplify 2.0 into 2.0 0.193 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.193 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.193 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.193 * [taylor]: Taking taylor expansion of re in im 0.193 * [backup-simplify]: Simplify re into re 0.193 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.193 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 * [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 (* re re) into (pow re 2) 0.194 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.194 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.194 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.194 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.194 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.194 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.194 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.194 * [taylor]: Taking taylor expansion of 2.0 in re 0.194 * [backup-simplify]: Simplify 2.0 into 2.0 0.195 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.195 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.195 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) 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 0.195 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.195 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.195 * [taylor]: Taking taylor expansion of (pow re 2) 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 0.195 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.195 * [taylor]: Taking taylor expansion of im in re 0.195 * [backup-simplify]: Simplify im into im 0.195 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.195 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.196 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.196 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.196 * [backup-simplify]: Simplify (+ 0 im) into im 0.196 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.196 * [backup-simplify]: Simplify (+ 1 0) into 1 0.196 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.196 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.196 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.196 * [taylor]: Taking taylor expansion of 2.0 in re 0.196 * [backup-simplify]: Simplify 2.0 into 2.0 0.197 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.197 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.197 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.197 * [taylor]: Taking taylor expansion of re in re 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.197 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.197 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.197 * [taylor]: Taking taylor expansion of re in re 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.197 * [taylor]: Taking taylor expansion of im in re 0.197 * [backup-simplify]: Simplify im into im 0.197 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.197 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.197 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.197 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.198 * [backup-simplify]: Simplify (+ 0 im) into im 0.198 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.198 * [backup-simplify]: Simplify (+ 1 0) into 1 0.198 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.198 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.199 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.199 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.199 * [taylor]: Taking taylor expansion of 2.0 in im 0.199 * [backup-simplify]: Simplify 2.0 into 2.0 0.199 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.199 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.199 * [taylor]: Taking taylor expansion of im in im 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (sqrt 0) into 0 0.200 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.201 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.201 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.201 * [taylor]: Taking taylor expansion of 1/2 in im 0.201 * [backup-simplify]: Simplify 1/2 into 1/2 0.201 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.201 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.201 * [taylor]: Taking taylor expansion of 2.0 in im 0.201 * [backup-simplify]: Simplify 2.0 into 2.0 0.201 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.202 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.202 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.202 * [taylor]: Taking taylor expansion of im in im 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (/ 1 1) into 1 0.202 * [backup-simplify]: Simplify (sqrt 0) into 0 0.203 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.204 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.205 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.207 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.207 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.209 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.209 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.210 * [backup-simplify]: Simplify (* 1 1) into 1 0.210 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.210 * [backup-simplify]: Simplify (+ 1 0) into 1 0.211 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.211 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.211 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3)))) 0.212 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.212 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) 0.212 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.212 * [taylor]: Taking taylor expansion of 1/8 in im 0.212 * [backup-simplify]: Simplify 1/8 into 1/8 0.212 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.212 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.212 * [taylor]: Taking taylor expansion of 2.0 in im 0.212 * [backup-simplify]: Simplify 2.0 into 2.0 0.213 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.213 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.213 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.213 * [taylor]: Taking taylor expansion of im in im 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (* 1 1) into 1 0.214 * [backup-simplify]: Simplify (* 1 1) into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [backup-simplify]: Simplify (sqrt 0) into 0 0.215 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.218 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.219 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.220 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.221 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.223 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.224 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.227 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 0.228 * [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))))))) 0.228 * [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 0.228 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.228 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.228 * [taylor]: Taking taylor expansion of 2.0 in im 0.228 * [backup-simplify]: Simplify 2.0 into 2.0 0.228 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.228 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.228 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.228 * [taylor]: Taking taylor expansion of re in im 0.228 * [backup-simplify]: Simplify re into re 0.228 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.228 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.228 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.229 * [taylor]: Taking taylor expansion of im in im 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (* 1 1) into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.229 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.229 * [taylor]: Taking taylor expansion of re in im 0.229 * [backup-simplify]: Simplify re into re 0.229 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.229 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.229 * [backup-simplify]: Simplify (+ 1 0) into 1 0.230 * [backup-simplify]: Simplify (sqrt 1) into 1 0.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (+ 0 0) into 0 0.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.234 * [backup-simplify]: Simplify (+ 0 1) into 1 0.234 * [backup-simplify]: Simplify (sqrt 0) into 0 0.235 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.235 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.235 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.235 * [taylor]: Taking taylor expansion of 2.0 in re 0.235 * [backup-simplify]: Simplify 2.0 into 2.0 0.236 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.236 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.236 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.236 * [taylor]: Taking taylor expansion of re in re 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (/ 1 1) into 1 0.236 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.236 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.236 * [taylor]: Taking taylor expansion of im in re 0.236 * [backup-simplify]: Simplify im into im 0.236 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.237 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.237 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.237 * [taylor]: Taking taylor expansion of re in re 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (* 1 1) into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [backup-simplify]: Simplify (+ 0 1) into 1 0.238 * [backup-simplify]: Simplify (sqrt 1) into 1 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.239 * [backup-simplify]: Simplify (+ 1 1) into 2 0.239 * [backup-simplify]: Simplify (sqrt 0) into 0 0.240 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.240 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.240 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.240 * [taylor]: Taking taylor expansion of 2.0 in re 0.240 * [backup-simplify]: Simplify 2.0 into 2.0 0.240 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.241 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.241 * [taylor]: Taking taylor expansion of re in re 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (/ 1 1) into 1 0.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.241 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.241 * [taylor]: Taking taylor expansion of im in re 0.241 * [backup-simplify]: Simplify im into im 0.241 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.241 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.241 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.241 * [taylor]: Taking taylor expansion of re in re 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (* 1 1) into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [backup-simplify]: Simplify (+ 0 1) into 1 0.242 * [backup-simplify]: Simplify (sqrt 1) into 1 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.244 * [backup-simplify]: Simplify (+ 1 1) into 2 0.244 * [backup-simplify]: Simplify (sqrt 0) into 0 0.245 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.245 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.245 * [taylor]: Taking taylor expansion of 0 in im 0.245 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.246 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.246 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.246 * [taylor]: Taking taylor expansion of +nan.0 in im 0.246 * [backup-simplify]: Simplify +nan.0 into +nan.0 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 0.247 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.250 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.251 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.251 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.251 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.251 * [taylor]: Taking taylor expansion of +nan.0 in im 0.251 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.251 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.251 * [taylor]: Taking taylor expansion of 2.0 in im 0.251 * [backup-simplify]: Simplify 2.0 into 2.0 0.252 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.252 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.253 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.254 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.254 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.256 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.257 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.258 * [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)) 0.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.259 * [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))))) 0.259 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.259 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.259 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.259 * [taylor]: Taking taylor expansion of +nan.0 in im 0.259 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.259 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.259 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.259 * [taylor]: Taking taylor expansion of 2.0 in im 0.259 * [backup-simplify]: Simplify 2.0 into 2.0 0.260 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.260 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.260 * [taylor]: Taking taylor expansion of im in im 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (* 1 1) into 1 0.261 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.261 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.261 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.261 * [taylor]: Taking taylor expansion of +nan.0 in im 0.261 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.261 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.261 * [taylor]: Taking taylor expansion of 2.0 in im 0.261 * [backup-simplify]: Simplify 2.0 into 2.0 0.261 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.265 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.265 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.266 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.266 * [backup-simplify]: Simplify (- 0) into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [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))) 0.270 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.271 * [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))))) 0.271 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.271 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.271 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.272 * [taylor]: Taking taylor expansion of +nan.0 in im 0.272 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.272 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.272 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.272 * [taylor]: Taking taylor expansion of 2.0 in im 0.272 * [backup-simplify]: Simplify 2.0 into 2.0 0.272 * [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 0.273 * [backup-simplify]: Simplify (* 1 1) into 1 0.273 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.273 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.273 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.273 * [taylor]: Taking taylor expansion of +nan.0 in im 0.273 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.273 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.273 * [taylor]: Taking taylor expansion of 2.0 in im 0.273 * [backup-simplify]: Simplify 2.0 into 2.0 0.273 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.279 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.279 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.281 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.282 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.283 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.285 * [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))))))) 0.286 * [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)))) 0.286 * [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 0.286 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.286 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.286 * [taylor]: Taking taylor expansion of 2.0 in im 0.286 * [backup-simplify]: Simplify 2.0 into 2.0 0.286 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.286 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.286 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.287 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.287 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.287 * [taylor]: Taking taylor expansion of im in im 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (* 1 1) into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.287 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.287 * [taylor]: Taking taylor expansion of re in im 0.287 * [backup-simplify]: Simplify re into re 0.287 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.287 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.288 * [backup-simplify]: Simplify (+ 1 0) into 1 0.288 * [backup-simplify]: Simplify (sqrt 1) into 1 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.289 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.289 * [taylor]: Taking taylor expansion of re in im 0.289 * [backup-simplify]: Simplify re into re 0.289 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.289 * [backup-simplify]: Simplify (+ 1 0) into 1 0.290 * [backup-simplify]: Simplify (sqrt 0) into 0 0.290 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.290 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.290 * [taylor]: Taking taylor expansion of 2.0 in re 0.290 * [backup-simplify]: Simplify 2.0 into 2.0 0.291 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.291 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.291 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.291 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.291 * [taylor]: Taking taylor expansion of im in re 0.291 * [backup-simplify]: Simplify im into im 0.291 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.291 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.291 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.291 * [taylor]: Taking taylor expansion of re in re 0.291 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (* 1 1) into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [backup-simplify]: Simplify (+ 0 1) into 1 0.292 * [backup-simplify]: Simplify (sqrt 1) into 1 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.294 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.294 * [taylor]: Taking taylor expansion of re in re 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.294 * [backup-simplify]: Simplify (- 1) into -1 0.294 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (- 0) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.297 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (- 0) into 0 0.298 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.298 * [backup-simplify]: Simplify (sqrt 0) into 0 0.299 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.299 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.299 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.299 * [taylor]: Taking taylor expansion of 2.0 in re 0.299 * [backup-simplify]: Simplify 2.0 into 2.0 0.299 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.299 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.299 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.299 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.299 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.299 * [taylor]: Taking taylor expansion of im in re 0.299 * [backup-simplify]: Simplify im into im 0.299 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.300 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.300 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.300 * [taylor]: Taking taylor expansion of re in re 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (* 1 1) into 1 0.300 * [backup-simplify]: Simplify (/ 1 1) into 1 0.300 * [backup-simplify]: Simplify (+ 0 1) into 1 0.301 * [backup-simplify]: Simplify (sqrt 1) into 1 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.302 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.302 * [taylor]: Taking taylor expansion of re in re 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [backup-simplify]: Simplify (- 1) into -1 0.303 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (- 0) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.305 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.306 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.306 * [backup-simplify]: Simplify (sqrt 0) into 0 0.307 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.307 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.307 * [taylor]: Taking taylor expansion of 0 in im 0.307 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.308 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.308 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.308 * [taylor]: Taking taylor expansion of +nan.0 in im 0.308 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.308 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.308 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.308 * [taylor]: Taking taylor expansion of 2.0 in im 0.308 * [backup-simplify]: Simplify 2.0 into 2.0 0.308 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.308 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.308 * [taylor]: Taking taylor expansion of im in im 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (* 1 1) into 1 0.309 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.311 * [backup-simplify]: Simplify (- 0) into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (- 0) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.315 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.315 * [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)))) 0.315 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.315 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.315 * [taylor]: Taking taylor expansion of +nan.0 in im 0.315 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.315 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.315 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.315 * [taylor]: Taking taylor expansion of 2.0 in im 0.316 * [backup-simplify]: Simplify 2.0 into 2.0 0.316 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.316 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.316 * [taylor]: Taking taylor expansion of im in im 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (* 1 1) into 1 0.317 * [backup-simplify]: Simplify (* 1 1) into 1 0.317 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.318 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.318 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.327 * [backup-simplify]: Simplify (- 0) into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.329 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.332 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (- 0) into 0 0.333 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.334 * [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)))))) 0.334 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.335 * [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)))))) 0.335 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.335 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.335 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.335 * [taylor]: Taking taylor expansion of +nan.0 in im 0.335 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.335 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.335 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.335 * [taylor]: Taking taylor expansion of 2.0 in im 0.335 * [backup-simplify]: Simplify 2.0 into 2.0 0.336 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.336 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.336 * [taylor]: Taking taylor expansion of im in im 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (* 1 1) into 1 0.337 * [backup-simplify]: Simplify (* 1 1) into 1 0.337 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.337 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.337 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) 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) (pow im 6)) in im 0.337 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.337 * [taylor]: Taking taylor expansion of 2.0 in im 0.337 * [backup-simplify]: Simplify 2.0 into 2.0 0.337 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.338 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.338 * [taylor]: Taking taylor expansion of im in im 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (* 1 1) into 1 0.338 * [backup-simplify]: Simplify (* 1 1) into 1 0.339 * [backup-simplify]: Simplify (* 1 1) into 1 0.339 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.340 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.346 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.346 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.347 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.348 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.360 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ 0 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 * * * [progress]: simplifying candidates 0.361 * [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))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 0.361 * [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))) (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) 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) (+ h1 h0) (* 2 h1) 0 (- (+ (* h3 (* (sqrt h2) (pow h1 2))) (- (+ (* h3 (* (sqrt h2) h0)) (- (* h3 (* (sqrt h2) h1))))))) (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (sqrt h2) (pow h1 2))) (- (* h3 (/ (sqrt h2) h1))))))) 0 0.365 * * [simplify]: iteration 0 : 244 enodes (cost 351 ) 0.369 * * [simplify]: iteration 1 : 743 enodes (cost 325 ) 0.382 * * [simplify]: iteration 2 : 2278 enodes (cost 315 ) 0.425 * * [simplify]: iteration 3 : 5001 enodes (cost 312 ) 0.427 * * * [progress]: adding candidates to table 0.562 * * [progress]: iteration 2 / 4 0.562 * * * [progress]: picking best candidate 0.578 * * * * [pick]: Picked # 0.578 * * * [progress]: localizing error 0.591 * * * [progress]: generating rewritten candidates 0.591 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 0.599 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 0.606 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.637 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 0.696 * * * [progress]: generating series expansions 0.696 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 0.696 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.696 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.696 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.696 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.696 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.696 * [taylor]: Taking taylor expansion of re in im 0.696 * [backup-simplify]: Simplify re into re 0.696 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.696 * [taylor]: Taking taylor expansion of im in im 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 1 into 1 0.696 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.696 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.696 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.696 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.697 * [backup-simplify]: Simplify (+ 0 0) into 0 0.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.697 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.697 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.697 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.697 * [taylor]: Taking taylor expansion of re in re 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 1 into 1 0.697 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.697 * [taylor]: Taking taylor expansion of im in re 0.697 * [backup-simplify]: Simplify im into im 0.697 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.697 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.697 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.697 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.698 * [backup-simplify]: Simplify (+ 0 0) into 0 0.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.698 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.698 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.698 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.698 * [taylor]: Taking taylor expansion of re in re 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 1 into 1 0.698 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.698 * [taylor]: Taking taylor expansion of im in re 0.698 * [backup-simplify]: Simplify im into im 0.698 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.698 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.698 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.698 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.698 * [backup-simplify]: Simplify (+ 0 0) into 0 0.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.699 * [taylor]: Taking taylor expansion of im in im 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify 1 into 1 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [taylor]: Taking taylor expansion of 0 in im 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify 1 into 1 0.699 * [backup-simplify]: Simplify (* 1 1) into 1 0.699 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.699 * [backup-simplify]: Simplify (+ 1 0) into 1 0.700 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.700 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.700 * [taylor]: Taking taylor expansion of 1/2 in im 0.700 * [backup-simplify]: Simplify 1/2 into 1/2 0.700 * [taylor]: Taking taylor expansion of im in im 0.700 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify 1 into 1 0.700 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.702 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.702 * [backup-simplify]: Simplify (+ 0 0) into 0 0.702 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.702 * [taylor]: Taking taylor expansion of 0 in im 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.703 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.703 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.703 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.703 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.703 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.703 * [taylor]: Taking taylor expansion of im in im 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify 1 into 1 0.703 * [backup-simplify]: Simplify (* 1 1) into 1 0.704 * [backup-simplify]: Simplify (/ 1 1) into 1 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.704 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.704 * [taylor]: Taking taylor expansion of re in im 0.704 * [backup-simplify]: Simplify re into re 0.704 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.704 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.704 * [backup-simplify]: Simplify (+ 1 0) into 1 0.704 * [backup-simplify]: Simplify (sqrt 1) into 1 0.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.705 * [backup-simplify]: Simplify (+ 0 0) into 0 0.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.706 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.706 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.706 * [taylor]: Taking taylor expansion of im in re 0.706 * [backup-simplify]: Simplify im into im 0.706 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.706 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.706 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.706 * [taylor]: Taking taylor expansion of re in re 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 1 into 1 0.706 * [backup-simplify]: Simplify (* 1 1) into 1 0.707 * [backup-simplify]: Simplify (/ 1 1) into 1 0.707 * [backup-simplify]: Simplify (+ 0 1) into 1 0.707 * [backup-simplify]: Simplify (sqrt 1) into 1 0.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.708 * [backup-simplify]: Simplify (+ 0 0) into 0 0.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.708 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.708 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.708 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.708 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.708 * [taylor]: Taking taylor expansion of im in re 0.709 * [backup-simplify]: Simplify im into im 0.709 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.709 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.709 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.709 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.709 * [taylor]: Taking taylor expansion of re in re 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 0.709 * [backup-simplify]: Simplify (/ 1 1) into 1 0.709 * [backup-simplify]: Simplify (+ 0 1) into 1 0.710 * [backup-simplify]: Simplify (sqrt 1) into 1 0.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (+ 0 0) into 0 0.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.711 * [taylor]: Taking taylor expansion of 1 in im 0.711 * [backup-simplify]: Simplify 1 into 1 0.711 * [taylor]: Taking taylor expansion of 0 in im 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 1 into 1 0.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.712 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.713 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.713 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.713 * [taylor]: Taking taylor expansion of 1/2 in im 0.713 * [backup-simplify]: Simplify 1/2 into 1/2 0.713 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.713 * [taylor]: Taking taylor expansion of im in im 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 1 into 1 0.713 * [backup-simplify]: Simplify (* 1 1) into 1 0.714 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.714 * [backup-simplify]: Simplify 0 into 0 0.714 * [backup-simplify]: Simplify 0 into 0 0.714 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.716 * [backup-simplify]: Simplify (+ 0 0) into 0 0.716 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.716 * [taylor]: Taking taylor expansion of 0 in im 0.716 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.717 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.718 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.718 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.718 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.718 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.718 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.718 * [taylor]: Taking taylor expansion of im in im 0.718 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify 1 into 1 0.718 * [backup-simplify]: Simplify (* 1 1) into 1 0.718 * [backup-simplify]: Simplify (/ 1 1) into 1 0.718 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.718 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.718 * [taylor]: Taking taylor expansion of re in im 0.718 * [backup-simplify]: Simplify re into re 0.718 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.718 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.719 * [backup-simplify]: Simplify (+ 1 0) into 1 0.719 * [backup-simplify]: Simplify (sqrt 1) into 1 0.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.720 * [backup-simplify]: Simplify (+ 0 0) into 0 0.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.720 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.720 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.720 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.720 * [taylor]: Taking taylor expansion of im in re 0.720 * [backup-simplify]: Simplify im into im 0.720 * [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 0.721 * [backup-simplify]: Simplify (/ 1 1) into 1 0.721 * [backup-simplify]: Simplify (+ 0 1) into 1 0.722 * [backup-simplify]: Simplify (sqrt 1) into 1 0.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.722 * [backup-simplify]: Simplify (+ 0 0) into 0 0.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.723 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.723 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.723 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.723 * [taylor]: Taking taylor expansion of im in re 0.723 * [backup-simplify]: Simplify im into im 0.723 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.723 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.723 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.723 * [taylor]: Taking taylor expansion of re in re 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 1 into 1 0.723 * [backup-simplify]: Simplify (* 1 1) into 1 0.724 * [backup-simplify]: Simplify (/ 1 1) into 1 0.724 * [backup-simplify]: Simplify (+ 0 1) into 1 0.724 * [backup-simplify]: Simplify (sqrt 1) into 1 0.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.725 * [backup-simplify]: Simplify (+ 0 0) into 0 0.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.725 * [taylor]: Taking taylor expansion of 1 in im 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [taylor]: Taking taylor expansion of 0 in im 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.727 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.727 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.727 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.727 * [taylor]: Taking taylor expansion of 1/2 in im 0.727 * [backup-simplify]: Simplify 1/2 into 1/2 0.727 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.727 * [taylor]: Taking taylor expansion of im in im 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify (* 1 1) into 1 0.728 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.730 * [backup-simplify]: Simplify (+ 0 0) into 0 0.731 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.731 * [taylor]: Taking taylor expansion of 0 in im 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.732 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 0.732 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.732 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.732 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.732 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.732 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.732 * [taylor]: Taking taylor expansion of re in im 0.732 * [backup-simplify]: Simplify re into re 0.732 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.732 * [taylor]: Taking taylor expansion of im in im 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.732 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.732 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.732 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.733 * [backup-simplify]: Simplify (+ 0 0) into 0 0.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.733 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.733 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 * [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 (+ 0 (pow im 2)) into (pow im 2) 0.733 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.733 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.733 * [backup-simplify]: Simplify (+ 0 0) into 0 0.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.734 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.734 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.734 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.734 * [taylor]: Taking taylor expansion of re in re 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 1 into 1 0.734 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.734 * [taylor]: Taking taylor expansion of im in re 0.734 * [backup-simplify]: Simplify im into im 0.734 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.734 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.734 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.734 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.734 * [backup-simplify]: Simplify (+ 0 0) into 0 0.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.734 * [taylor]: Taking taylor expansion of im in im 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 1 into 1 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [taylor]: Taking taylor expansion of 0 in im 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 1 into 1 0.735 * [backup-simplify]: Simplify (* 1 1) into 1 0.735 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.735 * [backup-simplify]: Simplify (+ 1 0) into 1 0.736 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.736 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.736 * [taylor]: Taking taylor expansion of 1/2 in im 0.736 * [backup-simplify]: Simplify 1/2 into 1/2 0.736 * [taylor]: Taking taylor expansion of im in im 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.738 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.738 * [backup-simplify]: Simplify (+ 0 0) into 0 0.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.738 * [taylor]: Taking taylor expansion of 0 in im 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.739 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.739 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.739 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.739 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.739 * [taylor]: Taking taylor expansion of im in im 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [backup-simplify]: Simplify (* 1 1) into 1 0.739 * [backup-simplify]: Simplify (/ 1 1) into 1 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.739 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.739 * [taylor]: Taking taylor expansion of re in im 0.739 * [backup-simplify]: Simplify re into re 0.739 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.740 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.740 * [backup-simplify]: Simplify (+ 1 0) into 1 0.740 * [backup-simplify]: Simplify (sqrt 1) into 1 0.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.741 * [backup-simplify]: Simplify (+ 0 0) into 0 0.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.741 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.741 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.741 * [taylor]: Taking taylor expansion of im in re 0.741 * [backup-simplify]: Simplify im into im 0.742 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.742 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.742 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.742 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.742 * [taylor]: Taking taylor expansion of re in re 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 1 into 1 0.742 * [backup-simplify]: Simplify (* 1 1) into 1 0.742 * [backup-simplify]: Simplify (/ 1 1) into 1 0.742 * [backup-simplify]: Simplify (+ 0 1) into 1 0.743 * [backup-simplify]: Simplify (sqrt 1) into 1 0.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.744 * [backup-simplify]: Simplify (+ 0 0) into 0 0.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.744 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.744 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.744 * [taylor]: Taking taylor expansion of im in re 0.744 * [backup-simplify]: Simplify im into im 0.744 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.744 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.744 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.744 * [taylor]: Taking taylor expansion of re in re 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 1 into 1 0.744 * [backup-simplify]: Simplify (* 1 1) into 1 0.745 * [backup-simplify]: Simplify (/ 1 1) into 1 0.745 * [backup-simplify]: Simplify (+ 0 1) into 1 0.745 * [backup-simplify]: Simplify (sqrt 1) into 1 0.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.746 * [backup-simplify]: Simplify (+ 0 0) into 0 0.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.747 * [taylor]: Taking taylor expansion of 1 in im 0.747 * [backup-simplify]: Simplify 1 into 1 0.747 * [taylor]: Taking taylor expansion of 0 in im 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.748 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.748 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.748 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.748 * [taylor]: Taking taylor expansion of 1/2 in im 0.748 * [backup-simplify]: Simplify 1/2 into 1/2 0.748 * [taylor]: Taking taylor expansion of (pow im 2) in im 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 1) into 1 0.749 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 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 (+ (* im 0) (* 0 im)) into 0 0.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.751 * [backup-simplify]: Simplify (+ 0 0) into 0 0.752 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.752 * [taylor]: Taking taylor expansion of 0 in im 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.753 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.753 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.753 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.753 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.753 * [taylor]: Taking taylor expansion of im in im 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 1 into 1 0.753 * [backup-simplify]: Simplify (* 1 1) into 1 0.754 * [backup-simplify]: Simplify (/ 1 1) into 1 0.754 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.754 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.754 * [taylor]: Taking taylor expansion of re in im 0.754 * [backup-simplify]: Simplify re into re 0.754 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.754 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.754 * [backup-simplify]: Simplify (+ 1 0) into 1 0.754 * [backup-simplify]: Simplify (sqrt 1) into 1 0.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.755 * [backup-simplify]: Simplify (+ 0 0) into 0 0.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.756 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.756 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.756 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.756 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.756 * [taylor]: Taking taylor expansion of im in re 0.756 * [backup-simplify]: Simplify im into im 0.756 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.756 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.756 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.756 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.756 * [taylor]: Taking taylor expansion of re in re 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.756 * [backup-simplify]: Simplify (* 1 1) into 1 0.756 * [backup-simplify]: Simplify (/ 1 1) into 1 0.757 * [backup-simplify]: Simplify (+ 0 1) into 1 0.757 * [backup-simplify]: Simplify (sqrt 1) into 1 0.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.758 * [backup-simplify]: Simplify (+ 0 0) into 0 0.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.758 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.758 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.758 * [taylor]: Taking taylor expansion of im in re 0.758 * [backup-simplify]: Simplify im into im 0.758 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.758 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.759 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.759 * [taylor]: Taking taylor expansion of re in re 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify 1 into 1 0.759 * [backup-simplify]: Simplify (* 1 1) into 1 0.759 * [backup-simplify]: Simplify (/ 1 1) into 1 0.759 * [backup-simplify]: Simplify (+ 0 1) into 1 0.759 * [backup-simplify]: Simplify (sqrt 1) into 1 0.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.760 * [backup-simplify]: Simplify (+ 0 0) into 0 0.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.761 * [taylor]: Taking taylor expansion of 1 in im 0.761 * [backup-simplify]: Simplify 1 into 1 0.761 * [taylor]: Taking taylor expansion of 0 in im 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 1 into 1 0.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.762 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.763 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.763 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.763 * [taylor]: Taking taylor expansion of 1/2 in im 0.763 * [backup-simplify]: Simplify 1/2 into 1/2 0.763 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.763 * [taylor]: Taking taylor expansion of im in im 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 1 into 1 0.763 * [backup-simplify]: Simplify (* 1 1) into 1 0.763 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.765 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.766 * [backup-simplify]: Simplify (+ 0 0) into 0 0.766 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.766 * [taylor]: Taking taylor expansion of 0 in im 0.766 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.767 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.768 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 0.768 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.768 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.768 * [taylor]: Taking taylor expansion of re in im 0.768 * [backup-simplify]: Simplify re into re 0.768 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.768 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.768 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.768 * [taylor]: Taking taylor expansion of re in im 0.768 * [backup-simplify]: Simplify re into re 0.768 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.768 * [taylor]: Taking taylor expansion of im in im 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify 1 into 1 0.768 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.768 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.768 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.768 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.768 * [backup-simplify]: Simplify (+ 0 0) into 0 0.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.769 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 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 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.769 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 * [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 (+ 0 (pow im 2)) into (pow im 2) 0.769 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.769 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.769 * [backup-simplify]: Simplify (+ 0 0) into 0 0.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.769 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 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 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.769 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.770 * [taylor]: Taking taylor expansion of im in re 0.770 * [backup-simplify]: Simplify im into im 0.770 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.770 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.770 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.770 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.770 * [backup-simplify]: Simplify (+ 0 0) into 0 0.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.770 * [backup-simplify]: Simplify (+ 0 im) into im 0.770 * [taylor]: Taking taylor expansion of im in im 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify (+ 1 0) into 1 0.771 * [taylor]: Taking taylor expansion of 1 in im 0.771 * [backup-simplify]: Simplify 1 into 1 0.771 * [backup-simplify]: Simplify 1 into 1 0.771 * [backup-simplify]: Simplify 1 into 1 0.771 * [backup-simplify]: Simplify (* 1 1) into 1 0.771 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.771 * [backup-simplify]: Simplify (+ 1 0) into 1 0.772 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.772 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.772 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.772 * [taylor]: Taking taylor expansion of 1/2 in im 0.772 * [backup-simplify]: Simplify 1/2 into 1/2 0.772 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.772 * [taylor]: Taking taylor expansion of im in im 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 0.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.773 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.774 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.774 * [backup-simplify]: Simplify (+ 0 0) into 0 0.774 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.774 * [backup-simplify]: Simplify (+ 0 0) into 0 0.774 * [taylor]: Taking taylor expansion of 0 in im 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.775 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.776 * [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))))) 0.776 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.776 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.776 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.776 * [taylor]: Taking taylor expansion of re in im 0.776 * [backup-simplify]: Simplify re into re 0.776 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.776 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.776 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 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 1) into 1 0.777 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.777 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.777 * [taylor]: Taking taylor expansion of re in im 0.777 * [backup-simplify]: Simplify re into re 0.777 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.777 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.777 * [backup-simplify]: Simplify (+ 1 0) into 1 0.777 * [backup-simplify]: Simplify (sqrt 1) into 1 0.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.778 * [backup-simplify]: Simplify (+ 0 0) into 0 0.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.779 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.779 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.779 * [taylor]: Taking taylor expansion of re in re 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [backup-simplify]: Simplify (/ 1 1) into 1 0.779 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.779 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.779 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.779 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.779 * [taylor]: Taking taylor expansion of im in re 0.779 * [backup-simplify]: Simplify im into im 0.779 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.779 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.779 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.779 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.779 * [taylor]: Taking taylor expansion of re in re 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [backup-simplify]: Simplify (* 1 1) into 1 0.780 * [backup-simplify]: Simplify (/ 1 1) into 1 0.780 * [backup-simplify]: Simplify (+ 0 1) into 1 0.780 * [backup-simplify]: Simplify (sqrt 1) into 1 0.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.781 * [backup-simplify]: Simplify (+ 0 0) into 0 0.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.782 * [taylor]: Taking taylor expansion of (/ 1 re) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.782 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 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 (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.783 * [backup-simplify]: Simplify (/ 1 1) into 1 0.783 * [backup-simplify]: Simplify (+ 0 1) into 1 0.783 * [backup-simplify]: Simplify (sqrt 1) into 1 0.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.784 * [backup-simplify]: Simplify (+ 0 0) into 0 0.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.785 * [backup-simplify]: Simplify (+ 1 1) into 2 0.785 * [taylor]: Taking taylor expansion of 2 in im 0.785 * [backup-simplify]: Simplify 2 into 2 0.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.785 * [backup-simplify]: Simplify (+ 0 0) into 0 0.785 * [taylor]: Taking taylor expansion of 0 in im 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 2 into 2 0.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.787 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.790 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.791 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.791 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.791 * [taylor]: Taking taylor expansion of 1/2 in im 0.791 * [backup-simplify]: Simplify 1/2 into 1/2 0.791 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.791 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.791 * [taylor]: Taking taylor expansion of im in im 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 1 into 1 0.791 * [backup-simplify]: Simplify (* 1 1) into 1 0.791 * [backup-simplify]: Simplify (/ 1 1) into 1 0.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.793 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.795 * [backup-simplify]: Simplify (+ 0 0) into 0 0.795 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.795 * [backup-simplify]: Simplify (+ 0 0) into 0 0.795 * [taylor]: Taking taylor expansion of 0 in im 0.795 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.797 * [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)) 0.797 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.797 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.797 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.797 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.797 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.797 * [taylor]: Taking taylor expansion of im in im 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.798 * [backup-simplify]: Simplify (* 1 1) into 1 0.798 * [backup-simplify]: Simplify (/ 1 1) into 1 0.798 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.798 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.798 * [taylor]: Taking taylor expansion of re in im 0.798 * [backup-simplify]: Simplify re into re 0.798 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.798 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.798 * [backup-simplify]: Simplify (+ 1 0) into 1 0.799 * [backup-simplify]: Simplify (sqrt 1) into 1 0.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.799 * [backup-simplify]: Simplify (+ 0 0) into 0 0.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.800 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.800 * [taylor]: Taking taylor expansion of re in im 0.800 * [backup-simplify]: Simplify re into re 0.800 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.800 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.800 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.800 * [taylor]: Taking taylor expansion of im in re 0.800 * [backup-simplify]: Simplify im into im 0.800 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.800 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.800 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.800 * [taylor]: Taking taylor expansion of re in re 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.801 * [backup-simplify]: Simplify (* 1 1) into 1 0.801 * [backup-simplify]: Simplify (/ 1 1) into 1 0.801 * [backup-simplify]: Simplify (+ 0 1) into 1 0.801 * [backup-simplify]: Simplify (sqrt 1) into 1 0.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (+ 0 0) into 0 0.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.803 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.803 * [taylor]: Taking taylor expansion of re in re 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 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.803 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.803 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.803 * [taylor]: Taking taylor expansion of im in re 0.803 * [backup-simplify]: Simplify im into im 0.803 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.803 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.803 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.803 * [taylor]: Taking taylor expansion of re in re 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 0.804 * [backup-simplify]: Simplify (/ 1 1) into 1 0.804 * [backup-simplify]: Simplify (+ 0 1) into 1 0.804 * [backup-simplify]: Simplify (sqrt 1) into 1 0.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.805 * [backup-simplify]: Simplify (+ 0 0) into 0 0.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.805 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.805 * [taylor]: Taking taylor expansion of re in re 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 1 into 1 0.806 * [backup-simplify]: Simplify (/ 1 1) into 1 0.806 * [backup-simplify]: Simplify (- 1) into -1 0.806 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.806 * [taylor]: Taking taylor expansion of 0 in im 0.806 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 0.807 * [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 0.808 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.809 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (- 0) into 0 0.810 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.810 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.810 * [taylor]: Taking taylor expansion of 1/2 in im 0.810 * [backup-simplify]: Simplify 1/2 into 1/2 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.810 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.810 * [taylor]: Taking taylor expansion of im in im 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 1 into 1 0.810 * [backup-simplify]: Simplify (* 1 1) into 1 0.810 * [backup-simplify]: Simplify (/ 1 1) into 1 0.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.811 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.813 * [backup-simplify]: Simplify (+ 0 0) into 0 0.813 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.814 * [backup-simplify]: Simplify (- 0) into 0 0.814 * [backup-simplify]: Simplify (+ 0 0) into 0 0.814 * [taylor]: Taking taylor expansion of 0 in im 0.814 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 0.816 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 0.816 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.816 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.816 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.816 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.816 * [taylor]: Taking taylor expansion of re in im 0.816 * [backup-simplify]: Simplify re into re 0.816 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.816 * [taylor]: Taking taylor expansion of im in im 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify 1 into 1 0.816 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.816 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.816 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.816 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.817 * [backup-simplify]: Simplify (+ 0 0) into 0 0.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.817 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.817 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.817 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.817 * [taylor]: Taking taylor expansion of re in re 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify 1 into 1 0.817 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.817 * [taylor]: Taking taylor expansion of im in re 0.817 * [backup-simplify]: Simplify im into im 0.817 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.817 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.817 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.817 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.817 * [backup-simplify]: Simplify (+ 0 0) into 0 0.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.818 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.818 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.818 * [taylor]: Taking taylor expansion of (pow re 2) 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 * [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 (+ 0 (pow im 2)) into (pow im 2) 0.818 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.818 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.818 * [backup-simplify]: Simplify (+ 0 0) into 0 0.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.818 * [taylor]: Taking taylor expansion of im in im 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [taylor]: Taking taylor expansion of 0 in im 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.819 * [backup-simplify]: Simplify (* 1 1) into 1 0.819 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.819 * [backup-simplify]: Simplify (+ 1 0) into 1 0.820 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.820 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.820 * [taylor]: Taking taylor expansion of 1/2 in im 0.820 * [backup-simplify]: Simplify 1/2 into 1/2 0.820 * [taylor]: Taking taylor expansion of im in im 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.820 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.821 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.822 * [backup-simplify]: Simplify (+ 0 0) into 0 0.822 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) 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 0 into 0 0.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.822 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.823 * [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)))) 0.823 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.823 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.823 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.823 * [taylor]: Taking taylor expansion of im in im 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify 1 into 1 0.823 * [backup-simplify]: Simplify (* 1 1) into 1 0.823 * [backup-simplify]: Simplify (/ 1 1) into 1 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.823 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.823 * [taylor]: Taking taylor expansion of re in im 0.823 * [backup-simplify]: Simplify re into re 0.823 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.824 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.824 * [backup-simplify]: Simplify (+ 1 0) into 1 0.824 * [backup-simplify]: Simplify (sqrt 1) into 1 0.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.825 * [backup-simplify]: Simplify (+ 0 0) into 0 0.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.825 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.825 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.825 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.825 * [taylor]: Taking taylor expansion of im in re 0.826 * [backup-simplify]: Simplify im into im 0.826 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.826 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.826 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.826 * [taylor]: Taking taylor expansion of re in re 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.826 * [backup-simplify]: Simplify (* 1 1) into 1 0.826 * [backup-simplify]: Simplify (/ 1 1) into 1 0.826 * [backup-simplify]: Simplify (+ 0 1) into 1 0.827 * [backup-simplify]: Simplify (sqrt 1) into 1 0.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.828 * [backup-simplify]: Simplify (+ 0 0) into 0 0.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.828 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.828 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.828 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.828 * [taylor]: Taking taylor expansion of im in re 0.828 * [backup-simplify]: Simplify im into im 0.828 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.828 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.828 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.828 * [taylor]: Taking taylor expansion of re in re 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 1 into 1 0.829 * [backup-simplify]: Simplify (* 1 1) into 1 0.829 * [backup-simplify]: Simplify (/ 1 1) into 1 0.829 * [backup-simplify]: Simplify (+ 0 1) into 1 0.829 * [backup-simplify]: Simplify (sqrt 1) into 1 0.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.830 * [backup-simplify]: Simplify (+ 0 0) into 0 0.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.831 * [taylor]: Taking taylor expansion of 1 in im 0.831 * [backup-simplify]: Simplify 1 into 1 0.831 * [taylor]: Taking taylor expansion of 0 in im 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 1 into 1 0.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.832 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.833 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.833 * [taylor]: Taking taylor expansion of 1/2 in im 0.833 * [backup-simplify]: Simplify 1/2 into 1/2 0.833 * [taylor]: Taking taylor expansion of (pow im 2) in 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 (* 1 1) into 1 0.833 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.835 * [backup-simplify]: Simplify (+ 0 0) into 0 0.836 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.836 * [taylor]: Taking taylor expansion of 0 in im 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.837 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.838 * [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)))) 0.838 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.838 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.838 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.838 * [taylor]: Taking taylor expansion of im in im 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 1 into 1 0.838 * [backup-simplify]: Simplify (* 1 1) into 1 0.838 * [backup-simplify]: Simplify (/ 1 1) into 1 0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.838 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.838 * [taylor]: Taking taylor expansion of re in im 0.838 * [backup-simplify]: Simplify re into re 0.838 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.838 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.839 * [backup-simplify]: Simplify (+ 1 0) into 1 0.839 * [backup-simplify]: Simplify (sqrt 1) into 1 0.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.840 * [backup-simplify]: Simplify (+ 0 0) into 0 0.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.840 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.840 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.840 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.840 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.840 * [taylor]: Taking taylor expansion of im in re 0.840 * [backup-simplify]: Simplify im into im 0.840 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.840 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.840 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.840 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.840 * [taylor]: Taking taylor expansion of re in re 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 1 into 1 0.841 * [backup-simplify]: Simplify (* 1 1) into 1 0.841 * [backup-simplify]: Simplify (/ 1 1) into 1 0.841 * [backup-simplify]: Simplify (+ 0 1) into 1 0.841 * [backup-simplify]: Simplify (sqrt 1) into 1 0.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.842 * [backup-simplify]: Simplify (+ 0 0) into 0 0.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.843 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.843 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.843 * [taylor]: Taking taylor expansion of im in re 0.843 * [backup-simplify]: Simplify im into im 0.843 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.843 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.843 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.843 * [taylor]: Taking taylor expansion of re in re 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 1 into 1 0.843 * [backup-simplify]: Simplify (* 1 1) into 1 0.843 * [backup-simplify]: Simplify (/ 1 1) into 1 0.844 * [backup-simplify]: Simplify (+ 0 1) into 1 0.844 * [backup-simplify]: Simplify (sqrt 1) into 1 0.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.845 * [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 in im 0.845 * [backup-simplify]: Simplify 1 into 1 0.845 * [taylor]: Taking taylor expansion of 0 in im 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 1 into 1 0.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.847 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.847 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.847 * [taylor]: Taking taylor expansion of 1/2 in im 0.847 * [backup-simplify]: Simplify 1/2 into 1/2 0.847 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.847 * [taylor]: Taking taylor expansion of im in im 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 1 into 1 0.848 * [backup-simplify]: Simplify (* 1 1) into 1 0.848 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.850 * [backup-simplify]: Simplify (+ 0 0) into 0 0.851 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.851 * [taylor]: Taking taylor expansion of 0 in im 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.852 * * * [progress]: simplifying candidates 0.854 * [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))) (- (* (* (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) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ 1 1) (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im)))))) (log (* (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)))))) (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im))))) (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* 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(sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) im re (* -1 re) im re (* -1 re) (+ re im) (* 2 re) 0 im re (* -1 re) 0.855 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt 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(* 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) (+ h1 h0) (* 2 h1) 0 h0 h1 (* -1 h1) 0.861 * * [simplify]: iteration 0 : 267 enodes (cost 1096 ) 0.867 * * [simplify]: iteration 1 : 974 enodes (cost 974 ) 0.893 * * [simplify]: iteration 2 : 5001 enodes (cost 950 ) 0.897 * * * [progress]: adding candidates to table 1.168 * * [progress]: iteration 3 / 4 1.168 * * * [progress]: picking best candidate 1.186 * * * * [pick]: Picked # 1.186 * * * [progress]: localizing error 1.207 * * * [progress]: generating rewritten candidates 1.207 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1) 1.212 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1 2) 1.219 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1 1) 1.224 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 1.233 * * * [progress]: generating series expansions 1.233 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1) 1.234 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow re 2) (pow im 2)) 1/3) 1.234 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in (re im) around 0 1.234 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im 1.234 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im 1.234 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im 1.234 * [taylor]: Taking taylor expansion of 1/3 in im 1.234 * [backup-simplify]: Simplify 1/3 into 1/3 1.234 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 1.234 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.234 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.234 * [taylor]: Taking taylor expansion of re in im 1.234 * [backup-simplify]: Simplify re into re 1.234 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.234 * [taylor]: Taking taylor expansion of im in im 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify 1 into 1 1.234 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.234 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.234 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 1.234 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 1.234 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 1.234 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 1.234 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 1.234 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 1.234 * [taylor]: Taking taylor expansion of 1/3 in re 1.234 * [backup-simplify]: Simplify 1/3 into 1/3 1.234 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.234 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.234 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.234 * [taylor]: Taking taylor expansion of re in re 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify 1 into 1 1.234 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.235 * [taylor]: Taking taylor expansion of im in re 1.235 * [backup-simplify]: Simplify im into im 1.235 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.235 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.235 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 1.235 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 1.235 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 1.235 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 1.235 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 1.235 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 1.235 * [taylor]: Taking taylor expansion of 1/3 in re 1.235 * [backup-simplify]: Simplify 1/3 into 1/3 1.235 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.235 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.235 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.235 * [taylor]: Taking taylor expansion of re in re 1.235 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify 1 into 1 1.235 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.235 * [taylor]: Taking taylor expansion of im in re 1.235 * [backup-simplify]: Simplify im into im 1.235 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.235 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.235 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 1.235 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 1.236 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 1.236 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 1.236 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 1.236 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 1.236 * [taylor]: Taking taylor expansion of 1/3 in im 1.236 * [backup-simplify]: Simplify 1/3 into 1/3 1.236 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 1.236 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.236 * [taylor]: Taking taylor expansion of im in im 1.236 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify 1 into 1 1.236 * [backup-simplify]: Simplify (* 1 1) into 1 1.237 * [backup-simplify]: Simplify (log 1) into 0 1.237 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.237 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 1.237 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 1.237 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 1.237 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.237 * [backup-simplify]: Simplify (+ 0 0) into 0 1.238 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 1.238 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 1.239 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.239 * [taylor]: Taking taylor expansion of 0 in im 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.240 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.240 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.241 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 1.241 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [backup-simplify]: Simplify (* 1 1) into 1 1.242 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.242 * [backup-simplify]: Simplify (+ 1 0) into 1 1.243 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 1.243 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 1.244 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.244 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 1.244 * [taylor]: Taking taylor expansion of 1/3 in im 1.244 * [backup-simplify]: Simplify 1/3 into 1/3 1.244 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 1.244 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 1.244 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 1.244 * [taylor]: Taking taylor expansion of 1/3 in im 1.244 * [backup-simplify]: Simplify 1/3 into 1/3 1.244 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 1.244 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.244 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.244 * [taylor]: Taking taylor expansion of im in im 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 1 into 1 1.245 * [backup-simplify]: Simplify (* 1 1) into 1 1.245 * [backup-simplify]: Simplify (* 1 1) into 1 1.245 * [backup-simplify]: Simplify (/ 1 1) into 1 1.245 * [backup-simplify]: Simplify (log 1) into 0 1.246 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 1.246 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 1.246 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 1.246 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.246 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.246 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.248 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.248 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.249 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 1.249 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.249 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.250 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.251 * [backup-simplify]: Simplify (+ 0 0) into 0 1.252 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 1.253 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 1.254 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.254 * [taylor]: Taking taylor expansion of 0 in im 1.254 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.256 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 1.257 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 1.257 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.258 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 1.258 * [backup-simplify]: Simplify 0 into 0 1.258 * [backup-simplify]: Simplify 0 into 0 1.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.260 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.261 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.261 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 1.262 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.262 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) 1.263 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 1.263 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 1.263 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 1.263 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.263 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.263 * [taylor]: Taking taylor expansion of 1/3 in im 1.263 * [backup-simplify]: Simplify 1/3 into 1/3 1.263 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.263 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.263 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.263 * [taylor]: Taking taylor expansion of im in im 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 1 into 1 1.263 * [backup-simplify]: Simplify (* 1 1) into 1 1.264 * [backup-simplify]: Simplify (/ 1 1) into 1 1.264 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.264 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.264 * [taylor]: Taking taylor expansion of re in im 1.264 * [backup-simplify]: Simplify re into re 1.264 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.264 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.264 * [backup-simplify]: Simplify (+ 1 0) into 1 1.264 * [backup-simplify]: Simplify (log 1) into 0 1.265 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 1.265 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 1.265 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 1.265 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.265 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.265 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.265 * [taylor]: Taking taylor expansion of 1/3 in re 1.265 * [backup-simplify]: Simplify 1/3 into 1/3 1.265 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.265 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.265 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.265 * [taylor]: Taking taylor expansion of im in re 1.265 * [backup-simplify]: Simplify im into im 1.265 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.265 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.265 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.265 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.265 * [taylor]: Taking taylor expansion of re in re 1.265 * [backup-simplify]: Simplify 0 into 0 1.265 * [backup-simplify]: Simplify 1 into 1 1.265 * [backup-simplify]: Simplify (* 1 1) into 1 1.266 * [backup-simplify]: Simplify (/ 1 1) into 1 1.266 * [backup-simplify]: Simplify (+ 0 1) into 1 1.266 * [backup-simplify]: Simplify (log 1) into 0 1.266 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.266 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.266 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.266 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.266 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.266 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.266 * [taylor]: Taking taylor expansion of 1/3 in re 1.266 * [backup-simplify]: Simplify 1/3 into 1/3 1.266 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.267 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.267 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.267 * [taylor]: Taking taylor expansion of im in re 1.267 * [backup-simplify]: Simplify im into im 1.267 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.267 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.267 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.267 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.267 * [taylor]: Taking taylor expansion of re in re 1.267 * [backup-simplify]: Simplify 0 into 0 1.267 * [backup-simplify]: Simplify 1 into 1 1.267 * [backup-simplify]: Simplify (* 1 1) into 1 1.267 * [backup-simplify]: Simplify (/ 1 1) into 1 1.267 * [backup-simplify]: Simplify (+ 0 1) into 1 1.268 * [backup-simplify]: Simplify (log 1) into 0 1.268 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.268 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.268 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.268 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 1.268 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 1.268 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 1.268 * [taylor]: Taking taylor expansion of -2/3 in im 1.268 * [backup-simplify]: Simplify -2/3 into -2/3 1.268 * [taylor]: Taking taylor expansion of (log re) in im 1.268 * [taylor]: Taking taylor expansion of re in im 1.268 * [backup-simplify]: Simplify re into re 1.268 * [backup-simplify]: Simplify (log re) into (log re) 1.268 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 1.268 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.268 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 1.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.269 * [backup-simplify]: Simplify (+ 0 0) into 0 1.270 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.270 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.271 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 1.271 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.271 * [taylor]: Taking taylor expansion of 0 in im 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify 0 into 0 1.272 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.272 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 1.272 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.272 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.274 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.275 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 1.275 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.275 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 1.276 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 1.276 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 1.276 * [taylor]: Taking taylor expansion of 1/3 in im 1.276 * [backup-simplify]: Simplify 1/3 into 1/3 1.276 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 1.276 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.276 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.276 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.276 * [taylor]: Taking taylor expansion of 1/3 in im 1.276 * [backup-simplify]: Simplify 1/3 into 1/3 1.276 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.276 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.276 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.276 * [taylor]: Taking taylor expansion of re in im 1.276 * [backup-simplify]: Simplify re into re 1.276 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.276 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.276 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 1.277 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 1.277 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 1.277 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.277 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.277 * [taylor]: Taking taylor expansion of im in im 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify 1 into 1 1.277 * [backup-simplify]: Simplify (* 1 1) into 1 1.277 * [backup-simplify]: Simplify (/ 1 1) into 1 1.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.279 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.280 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 1.280 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 1.281 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.281 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 1.282 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 1.283 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 1.284 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.284 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.285 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 1.285 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 1.286 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.287 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.288 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.289 * [backup-simplify]: Simplify (+ 0 0) into 0 1.291 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.291 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.292 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 1.293 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.293 * [taylor]: Taking taylor expansion of 0 in im 1.293 * [backup-simplify]: Simplify 0 into 0 1.293 * [backup-simplify]: Simplify 0 into 0 1.294 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 1.294 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 1.294 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 1.294 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 1.294 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.294 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.294 * [taylor]: Taking taylor expansion of 1/3 in im 1.294 * [backup-simplify]: Simplify 1/3 into 1/3 1.294 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.294 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.294 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.294 * [taylor]: Taking taylor expansion of im in im 1.294 * [backup-simplify]: Simplify 0 into 0 1.294 * [backup-simplify]: Simplify 1 into 1 1.294 * [backup-simplify]: Simplify (* 1 1) into 1 1.294 * [backup-simplify]: Simplify (/ 1 1) into 1 1.294 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.294 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.294 * [taylor]: Taking taylor expansion of re in im 1.294 * [backup-simplify]: Simplify re into re 1.295 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.295 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.295 * [backup-simplify]: Simplify (+ 1 0) into 1 1.295 * [backup-simplify]: Simplify (log 1) into 0 1.296 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 1.296 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 1.296 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 1.296 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.296 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.296 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.296 * [taylor]: Taking taylor expansion of 1/3 in re 1.296 * [backup-simplify]: Simplify 1/3 into 1/3 1.296 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.296 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.296 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.296 * [taylor]: Taking taylor expansion of im in re 1.296 * [backup-simplify]: Simplify im into im 1.296 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.296 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.296 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.296 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.296 * [taylor]: Taking taylor expansion of re in re 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify 1 into 1 1.296 * [backup-simplify]: Simplify (* 1 1) into 1 1.297 * [backup-simplify]: Simplify (/ 1 1) into 1 1.297 * [backup-simplify]: Simplify (+ 0 1) into 1 1.297 * [backup-simplify]: Simplify (log 1) into 0 1.297 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.297 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.297 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.297 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.297 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.297 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.297 * [taylor]: Taking taylor expansion of 1/3 in re 1.297 * [backup-simplify]: Simplify 1/3 into 1/3 1.297 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.298 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.298 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.298 * [taylor]: Taking taylor expansion of im in re 1.298 * [backup-simplify]: Simplify im into im 1.298 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.298 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.298 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.298 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.298 * [taylor]: Taking taylor expansion of re in re 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify 1 into 1 1.298 * [backup-simplify]: Simplify (* 1 1) into 1 1.298 * [backup-simplify]: Simplify (/ 1 1) into 1 1.298 * [backup-simplify]: Simplify (+ 0 1) into 1 1.299 * [backup-simplify]: Simplify (log 1) into 0 1.299 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.299 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.299 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.299 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 1.299 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 1.299 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 1.299 * [taylor]: Taking taylor expansion of -2/3 in im 1.299 * [backup-simplify]: Simplify -2/3 into -2/3 1.299 * [taylor]: Taking taylor expansion of (log re) in im 1.299 * [taylor]: Taking taylor expansion of re in im 1.299 * [backup-simplify]: Simplify re into re 1.299 * [backup-simplify]: Simplify (log re) into (log re) 1.299 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 1.299 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.299 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 1.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.300 * [backup-simplify]: Simplify (+ 0 0) into 0 1.301 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.301 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.302 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 1.302 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.302 * [taylor]: Taking taylor expansion of 0 in im 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.306 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 1.307 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.308 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.309 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 1.309 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.310 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 1.310 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 1.310 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 1.310 * [taylor]: Taking taylor expansion of 1/3 in im 1.310 * [backup-simplify]: Simplify 1/3 into 1/3 1.310 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 1.310 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.310 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.310 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.310 * [taylor]: Taking taylor expansion of 1/3 in im 1.310 * [backup-simplify]: Simplify 1/3 into 1/3 1.310 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.310 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.310 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.310 * [taylor]: Taking taylor expansion of re in im 1.310 * [backup-simplify]: Simplify re into re 1.311 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.311 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.311 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 1.311 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 1.311 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 1.311 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.311 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.311 * [taylor]: Taking taylor expansion of im in im 1.311 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify 1 into 1 1.311 * [backup-simplify]: Simplify (* 1 1) into 1 1.311 * [backup-simplify]: Simplify (/ 1 1) into 1 1.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.313 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.314 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 1.314 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 1.315 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.315 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 1.316 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 1.317 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 1.318 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.318 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.319 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 1.319 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 1.319 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 1.319 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.321 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.322 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.322 * [backup-simplify]: Simplify 0 into 0 1.322 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.323 * [backup-simplify]: Simplify (+ 0 0) into 0 1.325 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.325 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.326 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 1.327 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.327 * [taylor]: Taking taylor expansion of 0 in im 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 1.327 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1 1 2) 1.327 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow re 2) (pow im 2)) 1/3) 1.328 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in (re im) around 0 1.328 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im 1.328 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im 1.328 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im 1.328 * [taylor]: Taking taylor expansion of 1/3 in im 1.328 * [backup-simplify]: Simplify 1/3 into 1/3 1.328 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 1.328 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.328 * [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 (* re re) into (pow re 2) 1.328 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.328 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 1.328 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 1.328 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 1.328 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 1.328 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 1.328 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 1.328 * [taylor]: Taking taylor expansion of 1/3 in re 1.328 * [backup-simplify]: Simplify 1/3 into 1/3 1.328 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.328 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.328 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.328 * [taylor]: Taking taylor expansion of re in re 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 1 into 1 1.328 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.328 * [taylor]: Taking taylor expansion of im in re 1.328 * [backup-simplify]: Simplify im into im 1.328 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.328 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.329 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 1.329 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 1.329 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 1.329 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 1.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 1.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 1.329 * [taylor]: Taking taylor expansion of 1/3 in re 1.329 * [backup-simplify]: Simplify 1/3 into 1/3 1.329 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.329 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.329 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.329 * [taylor]: Taking taylor expansion of re in re 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 1 into 1 1.329 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.329 * [taylor]: Taking taylor expansion of im in re 1.329 * [backup-simplify]: Simplify im into im 1.329 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.329 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.329 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 1.329 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 1.329 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 1.329 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 1.329 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 1.329 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 1.329 * [taylor]: Taking taylor expansion of 1/3 in im 1.329 * [backup-simplify]: Simplify 1/3 into 1/3 1.329 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 1.330 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.330 * [taylor]: Taking taylor expansion of im in im 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [backup-simplify]: Simplify (* 1 1) into 1 1.330 * [backup-simplify]: Simplify (log 1) into 0 1.330 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.330 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 1.330 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 1.330 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 1.331 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.331 * [backup-simplify]: Simplify (+ 0 0) into 0 1.331 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 1.332 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 1.332 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.332 * [taylor]: Taking taylor expansion of 0 in im 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [backup-simplify]: Simplify 0 into 0 1.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.333 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.333 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.334 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 1.334 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.334 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify (* 1 1) into 1 1.335 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.335 * [backup-simplify]: Simplify (+ 1 0) into 1 1.336 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 1.336 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 1.337 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.337 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 1.337 * [taylor]: Taking taylor expansion of 1/3 in im 1.337 * [backup-simplify]: Simplify 1/3 into 1/3 1.337 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 1.337 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 1.337 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 1.337 * [taylor]: Taking taylor expansion of 1/3 in im 1.337 * [backup-simplify]: Simplify 1/3 into 1/3 1.337 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 1.337 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.337 * [taylor]: Taking taylor expansion of (pow im 4) 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 1.338 * [backup-simplify]: Simplify (* 1 1) into 1 1.338 * [backup-simplify]: Simplify (* 1 1) into 1 1.338 * [backup-simplify]: Simplify (/ 1 1) into 1 1.338 * [backup-simplify]: Simplify (log 1) into 0 1.339 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 1.339 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 1.339 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 1.339 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.339 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.341 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.341 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.342 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 1.342 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.342 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.343 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.344 * [backup-simplify]: Simplify (+ 0 0) into 0 1.346 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 1.346 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 1.347 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.347 * [taylor]: Taking taylor expansion of 0 in im 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.349 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.350 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 1.350 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 1.350 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.351 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.354 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.354 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.355 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 1.356 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) 1.356 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 1.356 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 1.356 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 1.356 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.356 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.356 * [taylor]: Taking taylor expansion of 1/3 in im 1.356 * [backup-simplify]: Simplify 1/3 into 1/3 1.356 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.356 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.356 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.356 * [taylor]: Taking taylor expansion of im in im 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 1 into 1 1.357 * [backup-simplify]: Simplify (* 1 1) into 1 1.357 * [backup-simplify]: Simplify (/ 1 1) into 1 1.357 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.357 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.357 * [taylor]: Taking taylor expansion of re in im 1.357 * [backup-simplify]: Simplify re into re 1.357 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.357 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.357 * [backup-simplify]: Simplify (+ 1 0) into 1 1.358 * [backup-simplify]: Simplify (log 1) into 0 1.358 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 1.358 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 1.358 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 1.358 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.358 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.358 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.358 * [taylor]: Taking taylor expansion of 1/3 in re 1.358 * [backup-simplify]: Simplify 1/3 into 1/3 1.358 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.358 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.358 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.358 * [taylor]: Taking taylor expansion of im in re 1.358 * [backup-simplify]: Simplify im into im 1.358 * [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 1.359 * [backup-simplify]: Simplify (* 1 1) into 1 1.359 * [backup-simplify]: Simplify (/ 1 1) into 1 1.359 * [backup-simplify]: Simplify (+ 0 1) into 1 1.359 * [backup-simplify]: Simplify (log 1) into 0 1.360 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.360 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.360 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.360 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.360 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.360 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.360 * [taylor]: Taking taylor expansion of 1/3 in re 1.360 * [backup-simplify]: Simplify 1/3 into 1/3 1.360 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.360 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.360 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.360 * [taylor]: Taking taylor expansion of im in re 1.360 * [backup-simplify]: Simplify im into im 1.360 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.360 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.360 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.360 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.360 * [taylor]: Taking taylor expansion of re in re 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 1 into 1 1.360 * [backup-simplify]: Simplify (* 1 1) into 1 1.361 * [backup-simplify]: Simplify (/ 1 1) into 1 1.361 * [backup-simplify]: Simplify (+ 0 1) into 1 1.361 * [backup-simplify]: Simplify (log 1) into 0 1.361 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.361 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.361 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.361 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 1.361 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 1.361 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 1.362 * [taylor]: Taking taylor expansion of -2/3 in im 1.362 * [backup-simplify]: Simplify -2/3 into -2/3 1.362 * [taylor]: Taking taylor expansion of (log re) in im 1.362 * [taylor]: Taking taylor expansion of re in im 1.362 * [backup-simplify]: Simplify re into re 1.362 * [backup-simplify]: Simplify (log re) into (log re) 1.362 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 1.362 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.362 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 1.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.363 * [backup-simplify]: Simplify (+ 0 0) into 0 1.363 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.364 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.364 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 1.365 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.365 * [taylor]: Taking taylor expansion of 0 in im 1.365 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.365 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 1.366 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.367 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.368 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 1.368 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.369 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 1.370 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 1.370 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 1.370 * [taylor]: Taking taylor expansion of 1/3 in im 1.370 * [backup-simplify]: Simplify 1/3 into 1/3 1.370 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 1.370 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.370 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.370 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.370 * [taylor]: Taking taylor expansion of 1/3 in im 1.370 * [backup-simplify]: Simplify 1/3 into 1/3 1.370 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.370 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.370 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.370 * [taylor]: Taking taylor expansion of re in im 1.370 * [backup-simplify]: Simplify re into re 1.370 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.370 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.370 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 1.370 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 1.370 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 1.370 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.370 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.370 * [taylor]: Taking taylor expansion of im in im 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify 1 into 1 1.371 * [backup-simplify]: Simplify (* 1 1) into 1 1.371 * [backup-simplify]: Simplify (/ 1 1) into 1 1.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.373 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.373 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 1.374 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 1.374 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.375 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 1.376 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 1.377 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 1.377 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.378 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.378 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 1.378 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 1.379 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.381 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.381 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.383 * [backup-simplify]: Simplify (+ 0 0) into 0 1.385 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.385 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.386 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 1.387 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.387 * [taylor]: Taking taylor expansion of 0 in im 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 1.387 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 1.387 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 1.387 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 1.387 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.387 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.387 * [taylor]: Taking taylor expansion of 1/3 in im 1.387 * [backup-simplify]: Simplify 1/3 into 1/3 1.387 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.387 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.388 * [taylor]: Taking taylor expansion of im in im 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 1 into 1 1.388 * [backup-simplify]: Simplify (* 1 1) into 1 1.388 * [backup-simplify]: Simplify (/ 1 1) into 1 1.388 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.388 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.388 * [taylor]: Taking taylor expansion of re in im 1.388 * [backup-simplify]: Simplify re into re 1.388 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.388 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.388 * [backup-simplify]: Simplify (+ 1 0) into 1 1.389 * [backup-simplify]: Simplify (log 1) into 0 1.389 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 1.389 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 1.389 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 1.389 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.389 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.389 * [taylor]: Taking taylor expansion of 1/3 in re 1.389 * [backup-simplify]: Simplify 1/3 into 1/3 1.389 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.389 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.389 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.389 * [taylor]: Taking taylor expansion of im in re 1.389 * [backup-simplify]: Simplify im into im 1.389 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.389 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.389 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.389 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.389 * [taylor]: Taking taylor expansion of re in re 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify 1 into 1 1.390 * [backup-simplify]: Simplify (* 1 1) into 1 1.390 * [backup-simplify]: Simplify (/ 1 1) into 1 1.390 * [backup-simplify]: Simplify (+ 0 1) into 1 1.390 * [backup-simplify]: Simplify (log 1) into 0 1.391 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.391 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.391 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.391 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.391 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.391 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.391 * [taylor]: Taking taylor expansion of 1/3 in re 1.391 * [backup-simplify]: Simplify 1/3 into 1/3 1.391 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.391 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.391 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.391 * [taylor]: Taking taylor expansion of im in re 1.391 * [backup-simplify]: Simplify im into im 1.391 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.391 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.391 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.391 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.391 * [taylor]: Taking taylor expansion of re in re 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 1.392 * [backup-simplify]: Simplify (/ 1 1) into 1 1.392 * [backup-simplify]: Simplify (+ 0 1) into 1 1.392 * [backup-simplify]: Simplify (log 1) into 0 1.392 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.392 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.392 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.393 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 1.393 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 1.393 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 1.393 * [taylor]: Taking taylor expansion of -2/3 in im 1.393 * [backup-simplify]: Simplify -2/3 into -2/3 1.393 * [taylor]: Taking taylor expansion of (log re) in im 1.393 * [taylor]: Taking taylor expansion of re in im 1.393 * [backup-simplify]: Simplify re into re 1.393 * [backup-simplify]: Simplify (log re) into (log re) 1.393 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 1.393 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.393 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 1.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.394 * [backup-simplify]: Simplify (+ 0 0) into 0 1.395 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.395 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.395 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 1.396 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.396 * [taylor]: Taking taylor expansion of 0 in im 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.397 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 1.397 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.397 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.401 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.402 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 1.403 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.403 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 1.404 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 1.404 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 1.404 * [taylor]: Taking taylor expansion of 1/3 in im 1.404 * [backup-simplify]: Simplify 1/3 into 1/3 1.404 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 1.404 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.404 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.404 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.404 * [taylor]: Taking taylor expansion of 1/3 in im 1.404 * [backup-simplify]: Simplify 1/3 into 1/3 1.404 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.404 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.404 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.404 * [taylor]: Taking taylor expansion of re in im 1.404 * [backup-simplify]: Simplify re into re 1.404 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.404 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.404 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 1.404 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 1.405 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 1.405 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.405 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.405 * [taylor]: Taking taylor expansion of im in im 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify 1 into 1 1.405 * [backup-simplify]: Simplify (* 1 1) into 1 1.405 * [backup-simplify]: Simplify (/ 1 1) into 1 1.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.407 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.408 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 1.408 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 1.409 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.409 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 1.410 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 1.411 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 1.412 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.412 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.412 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 1.413 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 1.413 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.415 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.415 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.415 * [backup-simplify]: Simplify 0 into 0 1.416 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.417 * [backup-simplify]: Simplify (+ 0 0) into 0 1.419 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.419 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.420 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 1.421 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) 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 0 into 0 1.421 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 1.421 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 2 1 1 1) 1.421 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow re 2) (pow im 2)) 1/3) 1.421 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in (re im) around 0 1.421 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im 1.421 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im 1.421 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im 1.421 * [taylor]: Taking taylor expansion of 1/3 in im 1.421 * [backup-simplify]: Simplify 1/3 into 1/3 1.421 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 1.421 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.422 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.422 * [taylor]: Taking taylor expansion of re in im 1.422 * [backup-simplify]: Simplify re into re 1.422 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.422 * [taylor]: Taking taylor expansion of im in im 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify 1 into 1 1.422 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.422 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.422 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 1.422 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 1.422 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 1.422 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 1.422 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 1.422 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 1.422 * [taylor]: Taking taylor expansion of 1/3 in re 1.422 * [backup-simplify]: Simplify 1/3 into 1/3 1.422 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.422 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.422 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.422 * [taylor]: Taking taylor expansion of re in re 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify 1 into 1 1.422 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.422 * [taylor]: Taking taylor expansion of im in re 1.422 * [backup-simplify]: Simplify im into im 1.422 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.422 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.422 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 1.422 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 1.423 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 1.423 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 1.423 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 1.423 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 1.423 * [taylor]: Taking taylor expansion of 1/3 in re 1.423 * [backup-simplify]: Simplify 1/3 into 1/3 1.423 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.423 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.423 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.423 * [taylor]: Taking taylor expansion of re in re 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 1 into 1 1.423 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.423 * [taylor]: Taking taylor expansion of im in re 1.423 * [backup-simplify]: Simplify im into im 1.423 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.423 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.423 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 1.423 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 1.423 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 1.423 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 1.423 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 1.423 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 1.423 * [taylor]: Taking taylor expansion of 1/3 in im 1.423 * [backup-simplify]: Simplify 1/3 into 1/3 1.423 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 1.423 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.423 * [taylor]: Taking taylor expansion of im in im 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 1 into 1 1.424 * [backup-simplify]: Simplify (* 1 1) into 1 1.424 * [backup-simplify]: Simplify (log 1) into 0 1.424 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.424 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 1.424 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 1.424 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 1.424 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.425 * [backup-simplify]: Simplify (+ 0 0) into 0 1.425 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 1.425 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 1.426 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.426 * [taylor]: Taking taylor expansion of 0 in im 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.427 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.427 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.428 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 1.428 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify (* 1 1) into 1 1.429 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.429 * [backup-simplify]: Simplify (+ 1 0) into 1 1.430 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 1.430 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 1.431 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.431 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 1.431 * [taylor]: Taking taylor expansion of 1/3 in im 1.431 * [backup-simplify]: Simplify 1/3 into 1/3 1.431 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 1.431 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 1.431 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 1.431 * [taylor]: Taking taylor expansion of 1/3 in im 1.431 * [backup-simplify]: Simplify 1/3 into 1/3 1.431 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 1.431 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.431 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.431 * [taylor]: Taking taylor expansion of im in im 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify 1 into 1 1.431 * [backup-simplify]: Simplify (* 1 1) into 1 1.432 * [backup-simplify]: Simplify (* 1 1) into 1 1.432 * [backup-simplify]: Simplify (/ 1 1) into 1 1.432 * [backup-simplify]: Simplify (log 1) into 0 1.432 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 1.432 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 1.432 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 1.433 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.433 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.435 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.435 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.435 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 1.436 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.437 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.437 * [backup-simplify]: Simplify (+ 0 0) into 0 1.439 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 1.439 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 1.441 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.441 * [taylor]: Taking taylor expansion of 0 in im 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.443 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.443 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 1.443 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 1.444 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.444 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 1.444 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.447 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.448 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.448 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 1.449 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.449 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) 1.450 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 1.450 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 1.450 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 1.450 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.450 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.450 * [taylor]: Taking taylor expansion of 1/3 in im 1.450 * [backup-simplify]: Simplify 1/3 into 1/3 1.450 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.450 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.450 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.450 * [taylor]: Taking taylor expansion of im in im 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 1 into 1 1.450 * [backup-simplify]: Simplify (* 1 1) into 1 1.451 * [backup-simplify]: Simplify (/ 1 1) into 1 1.451 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.451 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.451 * [taylor]: Taking taylor expansion of re in im 1.451 * [backup-simplify]: Simplify re into re 1.451 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.451 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.451 * [backup-simplify]: Simplify (+ 1 0) into 1 1.451 * [backup-simplify]: Simplify (log 1) into 0 1.451 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 1.452 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 1.452 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 1.452 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.452 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.452 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.452 * [taylor]: Taking taylor expansion of 1/3 in re 1.452 * [backup-simplify]: Simplify 1/3 into 1/3 1.452 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.452 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.452 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.452 * [taylor]: Taking taylor expansion of im in re 1.452 * [backup-simplify]: Simplify im into im 1.452 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.452 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.452 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.452 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.452 * [taylor]: Taking taylor expansion of re in re 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 1 into 1 1.452 * [backup-simplify]: Simplify (* 1 1) into 1 1.452 * [backup-simplify]: Simplify (/ 1 1) into 1 1.453 * [backup-simplify]: Simplify (+ 0 1) into 1 1.453 * [backup-simplify]: Simplify (log 1) into 0 1.453 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.453 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.453 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.453 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.453 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.453 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.453 * [taylor]: Taking taylor expansion of 1/3 in re 1.453 * [backup-simplify]: Simplify 1/3 into 1/3 1.453 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.453 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.453 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.454 * [taylor]: Taking taylor expansion of im in re 1.454 * [backup-simplify]: Simplify im into im 1.454 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.454 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.454 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.454 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.454 * [taylor]: Taking taylor expansion of re in re 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 1.454 * [backup-simplify]: Simplify (+ 0 1) into 1 1.455 * [backup-simplify]: Simplify (log 1) into 0 1.455 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.455 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.455 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.455 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 1.455 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 1.455 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 1.455 * [taylor]: Taking taylor expansion of -2/3 in im 1.455 * [backup-simplify]: Simplify -2/3 into -2/3 1.455 * [taylor]: Taking taylor expansion of (log re) 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 (log re) into (log re) 1.455 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 1.455 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.455 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.457 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.458 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 1.458 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.458 * [taylor]: Taking taylor expansion of 0 in im 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.459 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 1.459 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.460 * [backup-simplify]: Simplify 0 into 0 1.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.461 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.462 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 1.462 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.462 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 1.463 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 1.463 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 1.463 * [taylor]: Taking taylor expansion of 1/3 in im 1.463 * [backup-simplify]: Simplify 1/3 into 1/3 1.463 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 1.463 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.463 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.463 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.463 * [taylor]: Taking taylor expansion of 1/3 in im 1.463 * [backup-simplify]: Simplify 1/3 into 1/3 1.463 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.463 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.463 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.463 * [taylor]: Taking taylor expansion of re in im 1.463 * [backup-simplify]: Simplify re into re 1.463 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.463 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.463 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 1.464 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 1.464 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 1.464 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 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 1) into 1 1.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.466 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.467 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 1.467 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 1.468 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.468 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 1.469 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 1.470 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 1.471 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.471 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.471 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 1.472 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 1.472 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.474 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.474 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.474 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.476 * [backup-simplify]: Simplify (+ 0 0) into 0 1.478 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.478 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.479 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 1.480 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.480 * [taylor]: Taking taylor expansion of 0 in im 1.480 * [backup-simplify]: Simplify 0 into 0 1.480 * [backup-simplify]: Simplify 0 into 0 1.480 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 1.480 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 1.480 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 1.480 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 1.480 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.481 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.481 * [taylor]: Taking taylor expansion of 1/3 in im 1.481 * [backup-simplify]: Simplify 1/3 into 1/3 1.481 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.481 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.481 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.481 * [taylor]: Taking taylor expansion of im in im 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify 1 into 1 1.481 * [backup-simplify]: Simplify (* 1 1) into 1 1.481 * [backup-simplify]: Simplify (/ 1 1) into 1 1.481 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.481 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.481 * [taylor]: Taking taylor expansion of re in im 1.481 * [backup-simplify]: Simplify re into re 1.481 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.481 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.482 * [backup-simplify]: Simplify (+ 1 0) into 1 1.482 * [backup-simplify]: Simplify (log 1) into 0 1.482 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 1.482 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 1.482 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 1.482 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.482 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.482 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.482 * [taylor]: Taking taylor expansion of 1/3 in re 1.482 * [backup-simplify]: Simplify 1/3 into 1/3 1.482 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.482 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.482 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.482 * [taylor]: Taking taylor expansion of im in re 1.482 * [backup-simplify]: Simplify im into im 1.482 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.483 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.483 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.483 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.483 * [taylor]: Taking taylor expansion of re in re 1.483 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify 1 into 1 1.483 * [backup-simplify]: Simplify (* 1 1) into 1 1.483 * [backup-simplify]: Simplify (/ 1 1) into 1 1.483 * [backup-simplify]: Simplify (+ 0 1) into 1 1.483 * [backup-simplify]: Simplify (log 1) into 0 1.484 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.484 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.484 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.484 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 1.484 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.484 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.484 * [taylor]: Taking taylor expansion of 1/3 in re 1.484 * [backup-simplify]: Simplify 1/3 into 1/3 1.484 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.484 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.484 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.484 * [taylor]: Taking taylor expansion of im in re 1.484 * [backup-simplify]: Simplify im into im 1.484 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.484 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.484 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.484 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.484 * [taylor]: Taking taylor expansion of re in re 1.484 * [backup-simplify]: Simplify 0 into 0 1.484 * [backup-simplify]: Simplify 1 into 1 1.484 * [backup-simplify]: Simplify (* 1 1) into 1 1.485 * [backup-simplify]: Simplify (/ 1 1) into 1 1.485 * [backup-simplify]: Simplify (+ 0 1) into 1 1.485 * [backup-simplify]: Simplify (log 1) into 0 1.485 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.485 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.486 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.486 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 1.486 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 1.486 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 1.486 * [taylor]: Taking taylor expansion of -2/3 in im 1.486 * [backup-simplify]: Simplify -2/3 into -2/3 1.486 * [taylor]: Taking taylor expansion of (log re) in im 1.486 * [taylor]: Taking taylor expansion of re in im 1.486 * [backup-simplify]: Simplify re into re 1.486 * [backup-simplify]: Simplify (log re) into (log re) 1.486 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 1.486 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.486 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 1.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.487 * [backup-simplify]: Simplify (+ 0 0) into 0 1.488 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.488 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.488 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 1.489 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.489 * [taylor]: Taking taylor expansion of 0 in im 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.489 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 1.490 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.491 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.492 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 1.492 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.493 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 1.497 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 1.497 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 1.497 * [taylor]: Taking taylor expansion of 1/3 in im 1.497 * [backup-simplify]: Simplify 1/3 into 1/3 1.497 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 1.497 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.497 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.497 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.497 * [taylor]: Taking taylor expansion of 1/3 in im 1.497 * [backup-simplify]: Simplify 1/3 into 1/3 1.497 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.497 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.497 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.497 * [taylor]: Taking taylor expansion of re in im 1.497 * [backup-simplify]: Simplify re into re 1.497 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.497 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.497 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 1.497 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 1.497 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 1.498 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.498 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.498 * [taylor]: Taking taylor expansion of im in im 1.498 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify 1 into 1 1.498 * [backup-simplify]: Simplify (* 1 1) into 1 1.498 * [backup-simplify]: Simplify (/ 1 1) into 1 1.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.500 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.501 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 1.501 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 1.502 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.502 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 1.503 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 1.504 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 1.504 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.505 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.505 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 1.505 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 1.506 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.508 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.508 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.510 * [backup-simplify]: Simplify (+ 0 0) into 0 1.512 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.512 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.513 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 1.514 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.514 * [taylor]: Taking taylor expansion of 0 in im 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 1.514 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1) 1.514 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.514 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.514 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.514 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.514 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.514 * [taylor]: Taking taylor expansion of re in im 1.514 * [backup-simplify]: Simplify re into re 1.514 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.514 * [taylor]: Taking taylor expansion of im in im 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 1 into 1 1.514 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.515 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.515 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.515 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.515 * [backup-simplify]: Simplify (+ 0 0) into 0 1.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.515 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.515 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.515 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.515 * [taylor]: Taking taylor expansion of re in re 1.515 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify 1 into 1 1.515 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.515 * [taylor]: Taking taylor expansion of im in re 1.515 * [backup-simplify]: Simplify im into im 1.515 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.515 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.515 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.515 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.516 * [backup-simplify]: Simplify (+ 0 0) into 0 1.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.516 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.516 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.516 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.516 * [taylor]: Taking taylor expansion of re in re 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify 1 into 1 1.516 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.516 * [taylor]: Taking taylor expansion of im in re 1.516 * [backup-simplify]: Simplify im into im 1.516 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.516 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.516 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.516 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.516 * [backup-simplify]: Simplify (+ 0 0) into 0 1.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.517 * [taylor]: Taking taylor expansion of im in im 1.517 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify 1 into 1 1.517 * [backup-simplify]: Simplify 0 into 0 1.517 * [taylor]: Taking taylor expansion of 0 in im 1.517 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify 1 into 1 1.517 * [backup-simplify]: Simplify (* 1 1) into 1 1.517 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.517 * [backup-simplify]: Simplify (+ 1 0) into 1 1.518 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.518 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.518 * [taylor]: Taking taylor expansion of 1/2 in im 1.518 * [backup-simplify]: Simplify 1/2 into 1/2 1.518 * [taylor]: Taking taylor expansion of im in im 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify 1 into 1 1.518 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.520 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.520 * [backup-simplify]: Simplify (+ 0 0) into 0 1.520 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.520 * [taylor]: Taking taylor expansion of 0 in im 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.521 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.521 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.521 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.521 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.521 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.521 * [taylor]: Taking taylor expansion of im in im 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify 1 into 1 1.521 * [backup-simplify]: Simplify (* 1 1) into 1 1.521 * [backup-simplify]: Simplify (/ 1 1) into 1 1.521 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.521 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.521 * [taylor]: Taking taylor expansion of re in im 1.521 * [backup-simplify]: Simplify re into re 1.521 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.521 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.522 * [backup-simplify]: Simplify (+ 1 0) into 1 1.522 * [backup-simplify]: Simplify (sqrt 1) into 1 1.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.523 * [backup-simplify]: Simplify (+ 0 0) into 0 1.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.523 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.523 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.523 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.523 * [taylor]: Taking taylor expansion of im in re 1.524 * [backup-simplify]: Simplify im into im 1.524 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.524 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.524 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.524 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.524 * [taylor]: Taking taylor expansion of re in re 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 1 into 1 1.524 * [backup-simplify]: Simplify (* 1 1) into 1 1.524 * [backup-simplify]: Simplify (/ 1 1) into 1 1.524 * [backup-simplify]: Simplify (+ 0 1) into 1 1.525 * [backup-simplify]: Simplify (sqrt 1) into 1 1.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.526 * [backup-simplify]: Simplify (+ 0 0) into 0 1.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.526 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.526 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.526 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.526 * [taylor]: Taking taylor expansion of im in re 1.526 * [backup-simplify]: Simplify im into im 1.526 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.526 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.526 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.526 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.526 * [taylor]: Taking taylor expansion of re in re 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 1 into 1 1.527 * [backup-simplify]: Simplify (* 1 1) into 1 1.527 * [backup-simplify]: Simplify (/ 1 1) into 1 1.527 * [backup-simplify]: Simplify (+ 0 1) into 1 1.527 * [backup-simplify]: Simplify (sqrt 1) into 1 1.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.528 * [backup-simplify]: Simplify (+ 0 0) into 0 1.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.529 * [taylor]: Taking taylor expansion of 1 in im 1.529 * [backup-simplify]: Simplify 1 into 1 1.529 * [taylor]: Taking taylor expansion of 0 in im 1.529 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify 1 into 1 1.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.530 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.531 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.531 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.531 * [taylor]: Taking taylor expansion of 1/2 in im 1.531 * [backup-simplify]: Simplify 1/2 into 1/2 1.531 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.531 * [taylor]: Taking taylor expansion of im in im 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify 1 into 1 1.531 * [backup-simplify]: Simplify (* 1 1) into 1 1.531 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.532 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.534 * [backup-simplify]: Simplify (+ 0 0) into 0 1.534 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.534 * [taylor]: Taking taylor expansion of 0 in im 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.535 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.535 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.535 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.535 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.535 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.535 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.535 * [taylor]: Taking taylor expansion of im in im 1.535 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify 1 into 1 1.536 * [backup-simplify]: Simplify (* 1 1) into 1 1.536 * [backup-simplify]: Simplify (/ 1 1) into 1 1.536 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.536 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.536 * [taylor]: Taking taylor expansion of re in im 1.536 * [backup-simplify]: Simplify re into re 1.536 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.536 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.536 * [backup-simplify]: Simplify (+ 1 0) into 1 1.537 * [backup-simplify]: Simplify (sqrt 1) into 1 1.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.537 * [backup-simplify]: Simplify (+ 0 0) into 0 1.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.538 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.538 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.538 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.538 * [taylor]: Taking taylor expansion of im in re 1.538 * [backup-simplify]: Simplify im into im 1.538 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.538 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.538 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.538 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.538 * [taylor]: Taking taylor expansion of re in re 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 1 into 1 1.538 * [backup-simplify]: Simplify (* 1 1) into 1 1.539 * [backup-simplify]: Simplify (/ 1 1) into 1 1.539 * [backup-simplify]: Simplify (+ 0 1) into 1 1.539 * [backup-simplify]: Simplify (sqrt 1) into 1 1.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.540 * [backup-simplify]: Simplify (+ 0 0) into 0 1.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.540 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.540 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.541 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.541 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.541 * [taylor]: Taking taylor expansion of im in re 1.541 * [backup-simplify]: Simplify im into im 1.541 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.541 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.541 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.541 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.541 * [taylor]: Taking taylor expansion of re in re 1.541 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify 1 into 1 1.541 * [backup-simplify]: Simplify (* 1 1) into 1 1.541 * [backup-simplify]: Simplify (/ 1 1) into 1 1.541 * [backup-simplify]: Simplify (+ 0 1) into 1 1.542 * [backup-simplify]: Simplify (sqrt 1) into 1 1.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.543 * [backup-simplify]: Simplify (+ 0 0) into 0 1.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.543 * [taylor]: Taking taylor expansion of 1 in im 1.543 * [backup-simplify]: Simplify 1 into 1 1.543 * [taylor]: Taking taylor expansion of 0 in im 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 1 into 1 1.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.544 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.545 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.545 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.545 * [taylor]: Taking taylor expansion of 1/2 in im 1.545 * [backup-simplify]: Simplify 1/2 into 1/2 1.545 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.545 * [taylor]: Taking taylor expansion of im in im 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 1 into 1 1.545 * [backup-simplify]: Simplify (* 1 1) into 1 1.546 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.548 * [backup-simplify]: Simplify (+ 0 0) into 0 1.549 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.549 * [taylor]: Taking taylor expansion of 0 in im 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.550 * * * [progress]: simplifying candidates 1.551 * [simplify]: Simplifying: (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* 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)))) (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) im re (* -1 re) 1.551 * [simplify]: Sending expressions to egg_math: (log (cbrt (+ (* h1 h1) (* h0 h0)))) (exp (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt 1) (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (cbrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (cbrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (cbrt (- (* h1 h1) (* h0 h0))) (* (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0))))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (* (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (log (cbrt (+ (* h1 h1) (* h0 h0)))) (exp (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt 1) (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (cbrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (cbrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (cbrt (- (* h1 h1) (* h0 h0))) (* (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0))))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (* (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (log (cbrt (+ (* h1 h1) (* h0 h0)))) (exp (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt 1) (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (cbrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (cbrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (cbrt (- (* h1 h1) (* h0 h0))) (* (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0))))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (* (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (cbrt (+ (* 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)))) (+ (* 1/3 (* (pow h1 2) (pow (/ 1 (pow h0 4)) 1/3))) (pow h0 2/3)) (pow (/ 1 h1) -2/3) (pow (/ -1 h1) -2/3) (+ (* 1/3 (* (pow h1 2) (pow (/ 1 (pow h0 4)) 1/3))) (pow h0 2/3)) (pow (/ 1 h1) -2/3) (pow (/ -1 h1) -2/3) (+ (* 1/3 (* (pow h1 2) (pow (/ 1 (pow h0 4)) 1/3))) (pow h0 2/3)) (pow (/ 1 h1) -2/3) (pow (/ -1 h1) -2/3) h0 h1 (* -1 h1) 1.555 * * [simplify]: iteration 0 : 141 enodes (cost 466 ) 1.558 * * [simplify]: iteration 1 : 440 enodes (cost 436 ) 1.566 * * [simplify]: iteration 2 : 1469 enodes (cost 430 ) 1.598 * * [simplify]: iteration 3 : 5002 enodes (cost 429 ) 1.601 * * * [progress]: adding candidates to table 1.940 * * [progress]: iteration 4 / 4 1.940 * * * [progress]: picking best candidate 1.967 * * * * [pick]: Picked # 1.967 * * * [progress]: localizing error 1.992 * * * [progress]: generating rewritten candidates 1.992 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1) 1.997 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1 2) 2.002 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1 1) 2.007 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1 2 1) 2.018 * * * [progress]: generating series expansions 2.018 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1) 2.018 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow re 2) (pow im 2)) 1/3) 2.018 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in (re im) around 0 2.018 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im 2.018 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im 2.018 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im 2.018 * [taylor]: Taking taylor expansion of 1/3 in im 2.018 * [backup-simplify]: Simplify 1/3 into 1/3 2.018 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 2.018 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.018 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.018 * [taylor]: Taking taylor expansion of re in im 2.018 * [backup-simplify]: Simplify re into re 2.018 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.018 * [taylor]: Taking taylor expansion of im in im 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify 1 into 1 2.018 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.019 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.019 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 2.019 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 2.019 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 2.019 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 2.019 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 2.019 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 2.019 * [taylor]: Taking taylor expansion of 1/3 in re 2.019 * [backup-simplify]: Simplify 1/3 into 1/3 2.019 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 2.019 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.019 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.019 * [taylor]: Taking taylor expansion of re in re 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify 1 into 1 2.019 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.019 * [taylor]: Taking taylor expansion of im in re 2.019 * [backup-simplify]: Simplify im into im 2.019 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.019 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.019 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 2.019 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 2.019 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 2.019 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 2.019 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 2.020 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 2.020 * [taylor]: Taking taylor expansion of 1/3 in re 2.020 * [backup-simplify]: Simplify 1/3 into 1/3 2.020 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 2.020 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.020 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.020 * [taylor]: Taking taylor expansion of re in re 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 1 into 1 2.020 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.020 * [taylor]: Taking taylor expansion of im in re 2.020 * [backup-simplify]: Simplify im into im 2.020 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.020 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.020 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 2.020 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 2.020 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 2.020 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 2.020 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 2.020 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 2.020 * [taylor]: Taking taylor expansion of 1/3 in im 2.020 * [backup-simplify]: Simplify 1/3 into 1/3 2.020 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 2.020 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.020 * [taylor]: Taking taylor expansion of im in im 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 1 into 1 2.021 * [backup-simplify]: Simplify (* 1 1) into 1 2.021 * [backup-simplify]: Simplify (log 1) into 0 2.021 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.021 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 2.021 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 2.022 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 2.022 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.022 * [backup-simplify]: Simplify (+ 0 0) into 0 2.022 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 2.023 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 2.023 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.023 * [taylor]: Taking taylor expansion of 0 in im 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.025 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.025 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.025 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 2.026 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify (* 1 1) into 1 2.026 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.026 * [backup-simplify]: Simplify (+ 1 0) into 1 2.027 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 2.028 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 2.028 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 2.028 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 2.029 * [taylor]: Taking taylor expansion of 1/3 in im 2.029 * [backup-simplify]: Simplify 1/3 into 1/3 2.029 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 2.029 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 2.029 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 2.029 * [taylor]: Taking taylor expansion of 1/3 in im 2.029 * [backup-simplify]: Simplify 1/3 into 1/3 2.029 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 2.029 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 2.029 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.029 * [taylor]: Taking taylor expansion of im in im 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (* 1 1) into 1 2.029 * [backup-simplify]: Simplify (* 1 1) into 1 2.029 * [backup-simplify]: Simplify (/ 1 1) into 1 2.030 * [backup-simplify]: Simplify (log 1) into 0 2.030 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 2.030 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 2.030 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 2.030 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 2.030 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 2.030 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.032 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.032 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.033 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 2.034 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.034 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.035 * [backup-simplify]: Simplify (+ 0 0) into 0 2.036 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 2.037 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 2.038 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.038 * [taylor]: Taking taylor expansion of 0 in im 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.040 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.041 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 2.041 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 2.041 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 2.042 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.045 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.045 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.046 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 2.046 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) 2.047 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 2.047 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 2.047 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 2.047 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.047 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.047 * [taylor]: Taking taylor expansion of 1/3 in im 2.047 * [backup-simplify]: Simplify 1/3 into 1/3 2.047 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.047 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.047 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.047 * [taylor]: Taking taylor expansion of im in im 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify 1 into 1 2.048 * [backup-simplify]: Simplify (* 1 1) into 1 2.048 * [backup-simplify]: Simplify (/ 1 1) into 1 2.048 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.048 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.048 * [taylor]: Taking taylor expansion of re in im 2.048 * [backup-simplify]: Simplify re into re 2.048 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.048 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.048 * [backup-simplify]: Simplify (+ 1 0) into 1 2.048 * [backup-simplify]: Simplify (log 1) into 0 2.049 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 2.049 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 2.049 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 2.049 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 2.049 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.049 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.049 * [taylor]: Taking taylor expansion of 1/3 in re 2.049 * [backup-simplify]: Simplify 1/3 into 1/3 2.049 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.049 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.049 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.049 * [taylor]: Taking taylor expansion of im in re 2.049 * [backup-simplify]: Simplify im into im 2.049 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.049 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.049 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.049 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.049 * [taylor]: Taking taylor expansion of re in re 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 1 into 1 2.050 * [backup-simplify]: Simplify (* 1 1) into 1 2.050 * [backup-simplify]: Simplify (/ 1 1) into 1 2.050 * [backup-simplify]: Simplify (+ 0 1) into 1 2.050 * [backup-simplify]: Simplify (log 1) into 0 2.050 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.051 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 2.051 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 2.051 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 2.051 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.051 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.051 * [taylor]: Taking taylor expansion of 1/3 in re 2.051 * [backup-simplify]: Simplify 1/3 into 1/3 2.051 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.051 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.051 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.051 * [taylor]: Taking taylor expansion of im in re 2.051 * [backup-simplify]: Simplify im into im 2.051 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.051 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.051 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.051 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.051 * [taylor]: Taking taylor expansion of re in re 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 1 into 1 2.052 * [backup-simplify]: Simplify (* 1 1) into 1 2.052 * [backup-simplify]: Simplify (/ 1 1) into 1 2.052 * [backup-simplify]: Simplify (+ 0 1) into 1 2.052 * [backup-simplify]: Simplify (log 1) into 0 2.053 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.053 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 2.053 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 2.053 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 2.053 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 2.053 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 2.053 * [taylor]: Taking taylor expansion of -2/3 in im 2.053 * [backup-simplify]: Simplify -2/3 into -2/3 2.053 * [taylor]: Taking taylor expansion of (log re) in im 2.053 * [taylor]: Taking taylor expansion of re in im 2.053 * [backup-simplify]: Simplify re into re 2.053 * [backup-simplify]: Simplify (log re) into (log re) 2.053 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 2.053 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 2.053 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 2.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.054 * [backup-simplify]: Simplify (+ 0 0) into 0 2.055 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.055 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.055 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 2.056 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.056 * [taylor]: Taking taylor expansion of 0 in im 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 2.057 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 2.057 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.057 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.058 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.059 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 2.060 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.060 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 2.061 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 2.061 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 2.061 * [taylor]: Taking taylor expansion of 1/3 in im 2.061 * [backup-simplify]: Simplify 1/3 into 1/3 2.061 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 2.061 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 2.061 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 2.061 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 2.061 * [taylor]: Taking taylor expansion of 1/3 in im 2.061 * [backup-simplify]: Simplify 1/3 into 1/3 2.061 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 2.061 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.061 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.061 * [taylor]: Taking taylor expansion of re in im 2.061 * [backup-simplify]: Simplify re into re 2.061 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.061 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.061 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 2.061 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 2.061 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 2.061 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.061 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.061 * [taylor]: Taking taylor expansion of im in im 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.062 * [backup-simplify]: Simplify (* 1 1) into 1 2.062 * [backup-simplify]: Simplify (/ 1 1) into 1 2.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.064 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 2.064 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 2.065 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 2.065 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.065 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 2.067 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 2.067 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 2.068 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.069 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 2.069 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 2.069 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 2.070 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 2.071 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 2.072 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.073 * [backup-simplify]: Simplify (+ 0 0) into 0 2.075 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.076 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.076 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 2.077 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.077 * [taylor]: Taking taylor expansion of 0 in im 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 2.078 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 2.078 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 2.078 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 2.078 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.078 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.078 * [taylor]: Taking taylor expansion of 1/3 in im 2.078 * [backup-simplify]: Simplify 1/3 into 1/3 2.078 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.078 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.078 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.078 * [taylor]: Taking taylor expansion of im in im 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 1 into 1 2.078 * [backup-simplify]: Simplify (* 1 1) into 1 2.078 * [backup-simplify]: Simplify (/ 1 1) into 1 2.078 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.078 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.079 * [taylor]: Taking taylor expansion of re in im 2.079 * [backup-simplify]: Simplify re into re 2.079 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.079 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.079 * [backup-simplify]: Simplify (+ 1 0) into 1 2.079 * [backup-simplify]: Simplify (log 1) into 0 2.079 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 2.079 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 2.080 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 2.080 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 2.080 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.080 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.080 * [taylor]: Taking taylor expansion of 1/3 in re 2.080 * [backup-simplify]: Simplify 1/3 into 1/3 2.080 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.080 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.080 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.080 * [taylor]: Taking taylor expansion of im in re 2.080 * [backup-simplify]: Simplify im into im 2.080 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.080 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.080 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.080 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.080 * [taylor]: Taking taylor expansion of re in re 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 1 into 1 2.080 * [backup-simplify]: Simplify (* 1 1) into 1 2.080 * [backup-simplify]: Simplify (/ 1 1) into 1 2.081 * [backup-simplify]: Simplify (+ 0 1) into 1 2.081 * [backup-simplify]: Simplify (log 1) into 0 2.081 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.081 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 2.081 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 2.081 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 2.081 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.081 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.081 * [taylor]: Taking taylor expansion of 1/3 in re 2.081 * [backup-simplify]: Simplify 1/3 into 1/3 2.081 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.081 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.081 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.081 * [taylor]: Taking taylor expansion of im in re 2.081 * [backup-simplify]: Simplify im into im 2.082 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.082 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.082 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.082 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.082 * [taylor]: Taking taylor expansion of re in re 2.082 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify 1 into 1 2.082 * [backup-simplify]: Simplify (* 1 1) into 1 2.082 * [backup-simplify]: Simplify (/ 1 1) into 1 2.082 * [backup-simplify]: Simplify (+ 0 1) into 1 2.083 * [backup-simplify]: Simplify (log 1) into 0 2.083 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.083 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 2.083 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 2.083 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 2.083 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 2.083 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 2.083 * [taylor]: Taking taylor expansion of -2/3 in im 2.083 * [backup-simplify]: Simplify -2/3 into -2/3 2.083 * [taylor]: Taking taylor expansion of (log re) in im 2.083 * [taylor]: Taking taylor expansion of re in im 2.083 * [backup-simplify]: Simplify re into re 2.083 * [backup-simplify]: Simplify (log re) into (log re) 2.083 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 2.083 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 2.083 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 2.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.084 * [backup-simplify]: Simplify (+ 0 0) into 0 2.085 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.085 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.086 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 2.086 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.086 * [taylor]: Taking taylor expansion of 0 in im 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 2.087 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 2.087 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.087 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.088 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.090 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 2.090 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.090 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 2.091 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 2.091 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 2.091 * [taylor]: Taking taylor expansion of 1/3 in im 2.091 * [backup-simplify]: Simplify 1/3 into 1/3 2.091 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 2.091 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 2.091 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 2.091 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 2.091 * [taylor]: Taking taylor expansion of 1/3 in im 2.091 * [backup-simplify]: Simplify 1/3 into 1/3 2.091 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 2.091 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.091 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.091 * [taylor]: Taking taylor expansion of re in im 2.091 * [backup-simplify]: Simplify re into re 2.091 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.091 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.091 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 2.091 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 2.092 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 2.092 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.092 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.092 * [taylor]: Taking taylor expansion of im in im 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify 1 into 1 2.092 * [backup-simplify]: Simplify (* 1 1) into 1 2.092 * [backup-simplify]: Simplify (/ 1 1) into 1 2.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.094 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 2.094 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 2.095 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 2.095 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.096 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 2.097 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 2.098 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 2.098 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.099 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 2.099 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 2.099 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 2.100 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 2.100 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 2.102 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 2.102 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.102 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.108 * [backup-simplify]: Simplify (+ 0 0) into 0 2.110 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.110 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.110 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 2.112 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.112 * [taylor]: Taking taylor expansion of 0 in im 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 2.112 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1 1 2) 2.112 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow re 2) (pow im 2)) 1/3) 2.112 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in (re im) around 0 2.112 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im 2.112 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im 2.112 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im 2.112 * [taylor]: Taking taylor expansion of 1/3 in im 2.112 * [backup-simplify]: Simplify 1/3 into 1/3 2.112 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 2.112 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.112 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.112 * [taylor]: Taking taylor expansion of re in im 2.112 * [backup-simplify]: Simplify re into re 2.112 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.112 * [taylor]: Taking taylor expansion of im in im 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 1 into 1 2.112 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.113 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.113 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 2.113 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 2.113 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 2.113 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 2.113 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 2.113 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 2.113 * [taylor]: Taking taylor expansion of 1/3 in re 2.113 * [backup-simplify]: Simplify 1/3 into 1/3 2.113 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 2.113 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.113 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.113 * [taylor]: Taking taylor expansion of re in re 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 1 into 1 2.113 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.113 * [taylor]: Taking taylor expansion of im in re 2.113 * [backup-simplify]: Simplify im into im 2.113 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.113 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.113 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 2.113 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 2.113 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 2.113 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 2.113 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 2.114 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 2.114 * [taylor]: Taking taylor expansion of 1/3 in re 2.114 * [backup-simplify]: Simplify 1/3 into 1/3 2.114 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 2.114 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.114 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.114 * [taylor]: Taking taylor expansion of re in re 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 1 into 1 2.114 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.114 * [taylor]: Taking taylor expansion of im in re 2.114 * [backup-simplify]: Simplify im into im 2.114 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.114 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.114 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 2.114 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 2.114 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 2.114 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 2.114 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 2.114 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 2.114 * [taylor]: Taking taylor expansion of 1/3 in im 2.114 * [backup-simplify]: Simplify 1/3 into 1/3 2.114 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 2.114 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.114 * [taylor]: Taking taylor expansion of im in im 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 1 into 1 2.115 * [backup-simplify]: Simplify (* 1 1) into 1 2.115 * [backup-simplify]: Simplify (log 1) into 0 2.115 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.115 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 2.115 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 2.115 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 2.115 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.116 * [backup-simplify]: Simplify (+ 0 0) into 0 2.116 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 2.116 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 2.117 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.117 * [taylor]: Taking taylor expansion of 0 in im 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.118 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.118 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.119 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 2.119 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify (* 1 1) into 1 2.120 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.120 * [backup-simplify]: Simplify (+ 1 0) into 1 2.121 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 2.121 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 2.122 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 2.122 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 2.122 * [taylor]: Taking taylor expansion of 1/3 in im 2.122 * [backup-simplify]: Simplify 1/3 into 1/3 2.122 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 2.122 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 2.122 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 2.122 * [taylor]: Taking taylor expansion of 1/3 in im 2.122 * [backup-simplify]: Simplify 1/3 into 1/3 2.122 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 2.122 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 2.122 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.122 * [taylor]: Taking taylor expansion of im in im 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify 1 into 1 2.122 * [backup-simplify]: Simplify (* 1 1) into 1 2.123 * [backup-simplify]: Simplify (* 1 1) into 1 2.123 * [backup-simplify]: Simplify (/ 1 1) into 1 2.123 * [backup-simplify]: Simplify (log 1) into 0 2.123 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 2.123 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 2.123 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 2.124 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 2.124 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.126 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.126 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.126 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 2.127 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.128 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.128 * [backup-simplify]: Simplify (+ 0 0) into 0 2.130 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 2.130 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 2.132 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.132 * [taylor]: Taking taylor expansion of 0 in im 2.132 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.134 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.134 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 2.134 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 2.135 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 2.135 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.138 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.138 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.139 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 2.140 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) 2.140 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 2.140 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 2.140 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 2.140 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.140 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.140 * [taylor]: Taking taylor expansion of 1/3 in im 2.140 * [backup-simplify]: Simplify 1/3 into 1/3 2.140 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.141 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.141 * [taylor]: Taking taylor expansion of im in im 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify (* 1 1) into 1 2.141 * [backup-simplify]: Simplify (/ 1 1) into 1 2.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.141 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.141 * [taylor]: Taking taylor expansion of re in im 2.141 * [backup-simplify]: Simplify re into re 2.141 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.141 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.141 * [backup-simplify]: Simplify (+ 1 0) into 1 2.142 * [backup-simplify]: Simplify (log 1) into 0 2.142 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 2.142 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 2.142 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 2.142 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 2.142 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.142 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.142 * [taylor]: Taking taylor expansion of 1/3 in re 2.142 * [backup-simplify]: Simplify 1/3 into 1/3 2.142 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.142 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.142 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.142 * [taylor]: Taking taylor expansion of im in re 2.142 * [backup-simplify]: Simplify im into im 2.142 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.142 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.142 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.142 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.142 * [taylor]: Taking taylor expansion of re in re 2.143 * [backup-simplify]: Simplify 0 into 0 2.143 * [backup-simplify]: Simplify 1 into 1 2.143 * [backup-simplify]: Simplify (* 1 1) into 1 2.143 * [backup-simplify]: Simplify (/ 1 1) into 1 2.143 * [backup-simplify]: Simplify (+ 0 1) into 1 2.143 * [backup-simplify]: Simplify (log 1) into 0 2.144 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.144 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 2.144 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 2.144 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 2.144 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.144 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.144 * [taylor]: Taking taylor expansion of 1/3 in re 2.144 * [backup-simplify]: Simplify 1/3 into 1/3 2.144 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.144 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.144 * [taylor]: Taking taylor expansion of im in re 2.144 * [backup-simplify]: Simplify im into im 2.144 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.144 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.144 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.144 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.144 * [taylor]: Taking taylor expansion of re in re 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 1 into 1 2.144 * [backup-simplify]: Simplify (* 1 1) into 1 2.145 * [backup-simplify]: Simplify (/ 1 1) into 1 2.145 * [backup-simplify]: Simplify (+ 0 1) into 1 2.145 * [backup-simplify]: Simplify (log 1) into 0 2.145 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.145 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 2.145 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 2.146 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 2.146 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 2.146 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 2.146 * [taylor]: Taking taylor expansion of -2/3 in im 2.146 * [backup-simplify]: Simplify -2/3 into -2/3 2.146 * [taylor]: Taking taylor expansion of (log re) in im 2.146 * [taylor]: Taking taylor expansion of re in im 2.146 * [backup-simplify]: Simplify re into re 2.146 * [backup-simplify]: Simplify (log re) into (log re) 2.146 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 2.146 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 2.146 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 2.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.147 * [backup-simplify]: Simplify (+ 0 0) into 0 2.148 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.148 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.148 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 2.149 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.149 * [taylor]: Taking taylor expansion of 0 in im 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 2.149 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 2.150 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.151 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.152 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 2.153 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.153 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 2.154 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 2.154 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 2.154 * [taylor]: Taking taylor expansion of 1/3 in im 2.154 * [backup-simplify]: Simplify 1/3 into 1/3 2.154 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 2.154 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 2.154 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 2.154 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 2.154 * [taylor]: Taking taylor expansion of 1/3 in im 2.154 * [backup-simplify]: Simplify 1/3 into 1/3 2.154 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 2.154 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.154 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.154 * [taylor]: Taking taylor expansion of re in im 2.154 * [backup-simplify]: Simplify re into re 2.154 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.154 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.154 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 2.154 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 2.154 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 2.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.154 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.154 * [taylor]: Taking taylor expansion of im in im 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify 1 into 1 2.155 * [backup-simplify]: Simplify (* 1 1) into 1 2.155 * [backup-simplify]: Simplify (/ 1 1) into 1 2.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.157 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 2.157 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 2.158 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 2.158 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.158 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 2.160 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 2.160 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 2.161 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.162 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 2.162 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 2.162 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 2.163 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 2.164 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 2.165 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.166 * [backup-simplify]: Simplify (+ 0 0) into 0 2.168 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.169 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.169 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 2.171 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.171 * [taylor]: Taking taylor expansion of 0 in im 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 2.171 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 2.171 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 2.171 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 2.171 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.171 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.171 * [taylor]: Taking taylor expansion of 1/3 in im 2.171 * [backup-simplify]: Simplify 1/3 into 1/3 2.171 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.171 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.171 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.171 * [taylor]: Taking taylor expansion of im in im 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 1 into 1 2.171 * [backup-simplify]: Simplify (* 1 1) into 1 2.172 * [backup-simplify]: Simplify (/ 1 1) into 1 2.172 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.172 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.172 * [taylor]: Taking taylor expansion of re in im 2.172 * [backup-simplify]: Simplify re into re 2.172 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.172 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.172 * [backup-simplify]: Simplify (+ 1 0) into 1 2.172 * [backup-simplify]: Simplify (log 1) into 0 2.173 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 2.173 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 2.173 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 2.173 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 2.173 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.173 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.173 * [taylor]: Taking taylor expansion of 1/3 in re 2.173 * [backup-simplify]: Simplify 1/3 into 1/3 2.173 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.173 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.173 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.173 * [taylor]: Taking taylor expansion of im in re 2.173 * [backup-simplify]: Simplify im into im 2.173 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.173 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.173 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.173 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.173 * [taylor]: Taking taylor expansion of re in re 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 1 into 1 2.173 * [backup-simplify]: Simplify (* 1 1) into 1 2.174 * [backup-simplify]: Simplify (/ 1 1) into 1 2.174 * [backup-simplify]: Simplify (+ 0 1) into 1 2.174 * [backup-simplify]: Simplify (log 1) into 0 2.174 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.174 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 2.174 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 2.174 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 2.174 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.174 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.175 * [taylor]: Taking taylor expansion of 1/3 in re 2.175 * [backup-simplify]: Simplify 1/3 into 1/3 2.175 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.175 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.175 * [taylor]: Taking taylor expansion of im in re 2.175 * [backup-simplify]: Simplify im into im 2.175 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.175 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.175 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.175 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.175 * [taylor]: Taking taylor expansion of re in re 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 1 into 1 2.175 * [backup-simplify]: Simplify (* 1 1) into 1 2.175 * [backup-simplify]: Simplify (/ 1 1) into 1 2.175 * [backup-simplify]: Simplify (+ 0 1) into 1 2.176 * [backup-simplify]: Simplify (log 1) into 0 2.176 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.176 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 2.176 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 2.176 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 2.176 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 2.176 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 2.176 * [taylor]: Taking taylor expansion of -2/3 in im 2.176 * [backup-simplify]: Simplify -2/3 into -2/3 2.176 * [taylor]: Taking taylor expansion of (log re) in im 2.176 * [taylor]: Taking taylor expansion of re in im 2.176 * [backup-simplify]: Simplify re into re 2.176 * [backup-simplify]: Simplify (log re) into (log re) 2.176 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 2.176 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 2.177 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 2.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.178 * [backup-simplify]: Simplify (+ 0 0) into 0 2.178 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.178 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.179 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 2.179 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.179 * [taylor]: Taking taylor expansion of 0 in im 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 2.180 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 2.181 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.182 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.183 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 2.183 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.184 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 2.184 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 2.184 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 2.184 * [taylor]: Taking taylor expansion of 1/3 in im 2.184 * [backup-simplify]: Simplify 1/3 into 1/3 2.184 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 2.184 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 2.184 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 2.184 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 2.184 * [taylor]: Taking taylor expansion of 1/3 in im 2.184 * [backup-simplify]: Simplify 1/3 into 1/3 2.184 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 2.184 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.184 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.184 * [taylor]: Taking taylor expansion of re in im 2.184 * [backup-simplify]: Simplify re into re 2.184 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.184 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.185 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 2.185 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 2.185 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 2.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.185 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.185 * [taylor]: Taking taylor expansion of im in im 2.185 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify 1 into 1 2.185 * [backup-simplify]: Simplify (* 1 1) into 1 2.185 * [backup-simplify]: Simplify (/ 1 1) into 1 2.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.187 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 2.188 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 2.188 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 2.189 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.189 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 2.190 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 2.191 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 2.192 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.192 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 2.192 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 2.193 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 2.193 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 2.195 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 2.196 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.197 * [backup-simplify]: Simplify (+ 0 0) into 0 2.205 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.205 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.206 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 2.207 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.207 * [taylor]: Taking taylor expansion of 0 in im 2.207 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 2.207 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 2 1 1 1) 2.207 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow re 2) (pow im 2)) 1/3) 2.207 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in (re im) around 0 2.207 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im 2.208 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im 2.208 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im 2.208 * [taylor]: Taking taylor expansion of 1/3 in im 2.208 * [backup-simplify]: Simplify 1/3 into 1/3 2.208 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 2.208 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.208 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.208 * [taylor]: Taking taylor expansion of re in im 2.208 * [backup-simplify]: Simplify re into re 2.208 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.208 * [taylor]: Taking taylor expansion of im in im 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 1 into 1 2.208 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.208 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.208 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 2.208 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 2.208 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 2.208 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 2.208 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 2.208 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 2.208 * [taylor]: Taking taylor expansion of 1/3 in re 2.208 * [backup-simplify]: Simplify 1/3 into 1/3 2.208 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 2.208 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.208 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.208 * [taylor]: Taking taylor expansion of re in re 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 1 into 1 2.208 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.208 * [taylor]: Taking taylor expansion of im in re 2.208 * [backup-simplify]: Simplify im into im 2.208 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.208 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.209 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 2.209 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 2.209 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 2.209 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 2.209 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 2.209 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 2.209 * [taylor]: Taking taylor expansion of 1/3 in re 2.209 * [backup-simplify]: Simplify 1/3 into 1/3 2.209 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 2.209 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.209 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.209 * [taylor]: Taking taylor expansion of re in re 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 1 into 1 2.209 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.209 * [taylor]: Taking taylor expansion of im in re 2.209 * [backup-simplify]: Simplify im into im 2.209 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.209 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.209 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 2.209 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 2.209 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 2.209 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 2.209 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 2.209 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 2.209 * [taylor]: Taking taylor expansion of 1/3 in im 2.209 * [backup-simplify]: Simplify 1/3 into 1/3 2.209 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 2.209 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.209 * [taylor]: Taking taylor expansion of im in im 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 1 into 1 2.210 * [backup-simplify]: Simplify (* 1 1) into 1 2.210 * [backup-simplify]: Simplify (log 1) into 0 2.210 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.210 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 2.210 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 2.210 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 2.211 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.211 * [backup-simplify]: Simplify (+ 0 0) into 0 2.211 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 2.212 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 2.212 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.212 * [taylor]: Taking taylor expansion of 0 in im 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.214 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.214 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 2.214 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 2.214 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify (* 1 1) into 1 2.215 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.215 * [backup-simplify]: Simplify (+ 1 0) into 1 2.216 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 2.216 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 2.217 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 2.217 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 2.217 * [taylor]: Taking taylor expansion of 1/3 in im 2.217 * [backup-simplify]: Simplify 1/3 into 1/3 2.217 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 2.217 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 2.217 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 2.217 * [taylor]: Taking taylor expansion of 1/3 in im 2.217 * [backup-simplify]: Simplify 1/3 into 1/3 2.217 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 2.217 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 2.217 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.217 * [taylor]: Taking taylor expansion of im in im 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify 1 into 1 2.218 * [backup-simplify]: Simplify (* 1 1) into 1 2.218 * [backup-simplify]: Simplify (* 1 1) into 1 2.218 * [backup-simplify]: Simplify (/ 1 1) into 1 2.218 * [backup-simplify]: Simplify (log 1) into 0 2.218 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 2.219 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 2.219 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 2.219 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 2.219 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.221 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.221 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.221 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 2.222 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.222 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.223 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.223 * [backup-simplify]: Simplify (+ 0 0) into 0 2.225 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 2.226 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 2.227 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.227 * [taylor]: Taking taylor expansion of 0 in im 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.229 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.229 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 2.229 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 2.230 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 2.230 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.233 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.234 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.234 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 2.235 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) 2.236 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 2.236 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 2.236 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 2.236 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.236 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.236 * [taylor]: Taking taylor expansion of 1/3 in im 2.236 * [backup-simplify]: Simplify 1/3 into 1/3 2.236 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.236 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.236 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.236 * [taylor]: Taking taylor expansion of im in im 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify 1 into 1 2.236 * [backup-simplify]: Simplify (* 1 1) into 1 2.236 * [backup-simplify]: Simplify (/ 1 1) into 1 2.236 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.236 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.236 * [taylor]: Taking taylor expansion of re in im 2.236 * [backup-simplify]: Simplify re into re 2.236 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.237 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.237 * [backup-simplify]: Simplify (+ 1 0) into 1 2.237 * [backup-simplify]: Simplify (log 1) into 0 2.237 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 2.237 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 2.237 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 2.237 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 2.237 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.238 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.238 * [taylor]: Taking taylor expansion of 1/3 in re 2.238 * [backup-simplify]: Simplify 1/3 into 1/3 2.238 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.238 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.238 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.238 * [taylor]: Taking taylor expansion of im in re 2.238 * [backup-simplify]: Simplify im into im 2.238 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.238 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.238 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.238 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.238 * [taylor]: Taking taylor expansion of re in re 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify 1 into 1 2.238 * [backup-simplify]: Simplify (* 1 1) into 1 2.238 * [backup-simplify]: Simplify (/ 1 1) into 1 2.239 * [backup-simplify]: Simplify (+ 0 1) into 1 2.239 * [backup-simplify]: Simplify (log 1) into 0 2.239 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.239 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 2.239 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 2.239 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 2.239 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.239 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.239 * [taylor]: Taking taylor expansion of 1/3 in re 2.239 * [backup-simplify]: Simplify 1/3 into 1/3 2.239 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.239 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.239 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.239 * [taylor]: Taking taylor expansion of im in re 2.239 * [backup-simplify]: Simplify im into im 2.239 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.239 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.239 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.239 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.240 * [taylor]: Taking taylor expansion of re in re 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 1 into 1 2.240 * [backup-simplify]: Simplify (* 1 1) into 1 2.240 * [backup-simplify]: Simplify (/ 1 1) into 1 2.240 * [backup-simplify]: Simplify (+ 0 1) into 1 2.240 * [backup-simplify]: Simplify (log 1) into 0 2.241 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.241 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 2.241 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 2.241 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 2.241 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 2.241 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 2.241 * [taylor]: Taking taylor expansion of -2/3 in im 2.241 * [backup-simplify]: Simplify -2/3 into -2/3 2.241 * [taylor]: Taking taylor expansion of (log re) in im 2.241 * [taylor]: Taking taylor expansion of re in im 2.241 * [backup-simplify]: Simplify re into re 2.241 * [backup-simplify]: Simplify (log re) into (log re) 2.241 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 2.241 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 2.241 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 2.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.242 * [backup-simplify]: Simplify (+ 0 0) into 0 2.243 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.243 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.243 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 2.244 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.244 * [taylor]: Taking taylor expansion of 0 in im 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 2.245 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 2.245 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.245 * [backup-simplify]: Simplify 0 into 0 2.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.246 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.247 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 2.248 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.248 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 2.249 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 2.249 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 2.249 * [taylor]: Taking taylor expansion of 1/3 in im 2.249 * [backup-simplify]: Simplify 1/3 into 1/3 2.249 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 2.249 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 2.249 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 2.249 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 2.249 * [taylor]: Taking taylor expansion of 1/3 in im 2.249 * [backup-simplify]: Simplify 1/3 into 1/3 2.249 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 2.249 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.249 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.249 * [taylor]: Taking taylor expansion of re in im 2.249 * [backup-simplify]: Simplify re into re 2.249 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.249 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.249 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 2.249 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 2.249 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 2.249 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.249 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.249 * [taylor]: Taking taylor expansion of im in im 2.249 * [backup-simplify]: Simplify 0 into 0 2.249 * [backup-simplify]: Simplify 1 into 1 2.250 * [backup-simplify]: Simplify (* 1 1) into 1 2.250 * [backup-simplify]: Simplify (/ 1 1) into 1 2.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.252 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 2.252 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 2.253 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 2.253 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.254 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 2.255 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 2.255 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 2.256 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.257 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 2.257 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 2.257 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 2.258 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 2.258 * [backup-simplify]: Simplify 0 into 0 2.258 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 2.259 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 2.260 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.260 * [backup-simplify]: Simplify 0 into 0 2.260 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.262 * [backup-simplify]: Simplify (+ 0 0) into 0 2.264 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.264 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.265 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 2.266 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.266 * [taylor]: Taking taylor expansion of 0 in im 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 2.266 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 2.266 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 2.266 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 2.266 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.266 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.266 * [taylor]: Taking taylor expansion of 1/3 in im 2.266 * [backup-simplify]: Simplify 1/3 into 1/3 2.266 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.266 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.266 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.267 * [taylor]: Taking taylor expansion of im in im 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 1 into 1 2.267 * [backup-simplify]: Simplify (* 1 1) into 1 2.267 * [backup-simplify]: Simplify (/ 1 1) into 1 2.267 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.267 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.267 * [taylor]: Taking taylor expansion of re in im 2.267 * [backup-simplify]: Simplify re into re 2.267 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.267 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.267 * [backup-simplify]: Simplify (+ 1 0) into 1 2.268 * [backup-simplify]: Simplify (log 1) into 0 2.268 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 2.268 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 2.268 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 2.268 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 2.268 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.268 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.268 * [taylor]: Taking taylor expansion of 1/3 in re 2.268 * [backup-simplify]: Simplify 1/3 into 1/3 2.268 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.268 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.268 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.268 * [taylor]: Taking taylor expansion of im in re 2.268 * [backup-simplify]: Simplify im into im 2.268 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.268 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.268 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.268 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.268 * [taylor]: Taking taylor expansion of re in re 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 1 into 1 2.269 * [backup-simplify]: Simplify (* 1 1) into 1 2.269 * [backup-simplify]: Simplify (/ 1 1) into 1 2.269 * [backup-simplify]: Simplify (+ 0 1) into 1 2.269 * [backup-simplify]: Simplify (log 1) into 0 2.270 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.270 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 2.270 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 2.270 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 2.270 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.270 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.270 * [taylor]: Taking taylor expansion of 1/3 in re 2.270 * [backup-simplify]: Simplify 1/3 into 1/3 2.270 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.270 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.270 * [taylor]: Taking taylor expansion of im in re 2.270 * [backup-simplify]: Simplify im into im 2.270 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.270 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.270 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.270 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.270 * [taylor]: Taking taylor expansion of re in re 2.270 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify 1 into 1 2.270 * [backup-simplify]: Simplify (* 1 1) into 1 2.271 * [backup-simplify]: Simplify (/ 1 1) into 1 2.271 * [backup-simplify]: Simplify (+ 0 1) into 1 2.271 * [backup-simplify]: Simplify (log 1) into 0 2.271 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.271 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 2.271 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 2.271 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 2.272 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 2.272 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 2.272 * [taylor]: Taking taylor expansion of -2/3 in im 2.272 * [backup-simplify]: Simplify -2/3 into -2/3 2.272 * [taylor]: Taking taylor expansion of (log re) in im 2.272 * [taylor]: Taking taylor expansion of re in im 2.272 * [backup-simplify]: Simplify re into re 2.272 * [backup-simplify]: Simplify (log re) into (log re) 2.272 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 2.272 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 2.272 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 2.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.273 * [backup-simplify]: Simplify (+ 0 0) into 0 2.273 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.274 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.274 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 2.275 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.275 * [taylor]: Taking taylor expansion of 0 in im 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 2.275 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 2.276 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.276 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.277 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.278 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 2.278 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.279 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 2.279 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 2.279 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 2.279 * [taylor]: Taking taylor expansion of 1/3 in im 2.279 * [backup-simplify]: Simplify 1/3 into 1/3 2.279 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 2.279 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 2.279 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 2.279 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 2.279 * [taylor]: Taking taylor expansion of 1/3 in im 2.279 * [backup-simplify]: Simplify 1/3 into 1/3 2.279 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 2.279 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.279 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.280 * [taylor]: Taking taylor expansion of re in im 2.280 * [backup-simplify]: Simplify re into re 2.280 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.280 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.280 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 2.280 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 2.280 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 2.280 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.280 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.280 * [taylor]: Taking taylor expansion of im in im 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify 1 into 1 2.280 * [backup-simplify]: Simplify (* 1 1) into 1 2.280 * [backup-simplify]: Simplify (/ 1 1) into 1 2.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.282 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 2.283 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 2.283 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 2.284 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.284 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 2.286 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 2.286 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 2.287 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.287 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 2.288 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 2.288 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 2.288 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 2.289 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 2.290 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 2.291 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.292 * [backup-simplify]: Simplify (+ 0 0) into 0 2.294 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.294 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.295 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 2.302 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.302 * [taylor]: Taking taylor expansion of 0 in im 2.302 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 2.302 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1 2 1) 2.302 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.302 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.302 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.302 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.302 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.302 * [taylor]: Taking taylor expansion of re in im 2.302 * [backup-simplify]: Simplify re into re 2.302 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.302 * [taylor]: Taking taylor expansion of im in im 2.302 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify 1 into 1 2.302 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.303 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.303 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.303 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.303 * [backup-simplify]: Simplify (+ 0 0) into 0 2.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.303 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.303 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.303 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.303 * [taylor]: Taking taylor expansion of re in re 2.303 * [backup-simplify]: Simplify 0 into 0 2.303 * [backup-simplify]: Simplify 1 into 1 2.303 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.303 * [taylor]: Taking taylor expansion of im in re 2.303 * [backup-simplify]: Simplify im into im 2.303 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.303 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.303 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.303 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.304 * [backup-simplify]: Simplify (+ 0 0) into 0 2.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.304 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.304 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.304 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.304 * [taylor]: Taking taylor expansion of re in re 2.304 * [backup-simplify]: Simplify 0 into 0 2.304 * [backup-simplify]: Simplify 1 into 1 2.304 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.304 * [taylor]: Taking taylor expansion of im in re 2.304 * [backup-simplify]: Simplify im into im 2.304 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.304 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.304 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.304 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.304 * [backup-simplify]: Simplify (+ 0 0) into 0 2.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.305 * [taylor]: Taking taylor expansion of im in im 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify 1 into 1 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [taylor]: Taking taylor expansion of 0 in im 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify 1 into 1 2.305 * [backup-simplify]: Simplify (* 1 1) into 1 2.305 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.306 * [backup-simplify]: Simplify (+ 1 0) into 1 2.306 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.306 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.306 * [taylor]: Taking taylor expansion of 1/2 in im 2.306 * [backup-simplify]: Simplify 1/2 into 1/2 2.306 * [taylor]: Taking taylor expansion of im in im 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify 1 into 1 2.306 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.308 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.308 * [backup-simplify]: Simplify (+ 0 0) into 0 2.308 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.308 * [taylor]: Taking taylor expansion of 0 in im 2.308 * [backup-simplify]: Simplify 0 into 0 2.308 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.309 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.309 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.309 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.309 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.309 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.309 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.309 * [taylor]: Taking taylor expansion of im in im 2.309 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify 1 into 1 2.309 * [backup-simplify]: Simplify (* 1 1) into 1 2.309 * [backup-simplify]: Simplify (/ 1 1) into 1 2.309 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.310 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.310 * [taylor]: Taking taylor expansion of re in im 2.310 * [backup-simplify]: Simplify re into re 2.310 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.310 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.310 * [backup-simplify]: Simplify (+ 1 0) into 1 2.310 * [backup-simplify]: Simplify (sqrt 1) into 1 2.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.311 * [backup-simplify]: Simplify (+ 0 0) into 0 2.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.312 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.312 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.312 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.312 * [taylor]: Taking taylor expansion of im in re 2.312 * [backup-simplify]: Simplify im into im 2.312 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.312 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.312 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.312 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.312 * [taylor]: Taking taylor expansion of re in re 2.312 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify 1 into 1 2.312 * [backup-simplify]: Simplify (* 1 1) into 1 2.313 * [backup-simplify]: Simplify (/ 1 1) into 1 2.313 * [backup-simplify]: Simplify (+ 0 1) into 1 2.313 * [backup-simplify]: Simplify (sqrt 1) into 1 2.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.314 * [backup-simplify]: Simplify (+ 0 0) into 0 2.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.314 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.314 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.315 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.315 * [taylor]: Taking taylor expansion of im in re 2.315 * [backup-simplify]: Simplify im into im 2.315 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.315 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.315 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.315 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.315 * [taylor]: Taking taylor expansion of re in re 2.315 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify 1 into 1 2.315 * [backup-simplify]: Simplify (* 1 1) into 1 2.315 * [backup-simplify]: Simplify (/ 1 1) into 1 2.315 * [backup-simplify]: Simplify (+ 0 1) into 1 2.316 * [backup-simplify]: Simplify (sqrt 1) into 1 2.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.317 * [backup-simplify]: Simplify (+ 0 0) into 0 2.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.317 * [taylor]: Taking taylor expansion of 1 in im 2.317 * [backup-simplify]: Simplify 1 into 1 2.317 * [taylor]: Taking taylor expansion of 0 in im 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify 1 into 1 2.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.318 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.319 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.319 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.319 * [taylor]: Taking taylor expansion of 1/2 in im 2.319 * [backup-simplify]: Simplify 1/2 into 1/2 2.319 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.319 * [taylor]: Taking taylor expansion of im in im 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify 1 into 1 2.319 * [backup-simplify]: Simplify (* 1 1) into 1 2.320 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.322 * [backup-simplify]: Simplify (+ 0 0) into 0 2.322 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.322 * [taylor]: Taking taylor expansion of 0 in im 2.322 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.324 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.324 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.324 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.324 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.324 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.324 * [taylor]: Taking taylor expansion of im in im 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify 1 into 1 2.324 * [backup-simplify]: Simplify (* 1 1) into 1 2.324 * [backup-simplify]: Simplify (/ 1 1) into 1 2.324 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.324 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.324 * [taylor]: Taking taylor expansion of re in im 2.324 * [backup-simplify]: Simplify re into re 2.324 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.324 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.325 * [backup-simplify]: Simplify (+ 1 0) into 1 2.325 * [backup-simplify]: Simplify (sqrt 1) into 1 2.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.326 * [backup-simplify]: Simplify (+ 0 0) into 0 2.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.326 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.326 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.326 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.326 * [taylor]: Taking taylor expansion of im in re 2.326 * [backup-simplify]: Simplify im into im 2.326 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.327 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.327 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.327 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.327 * [taylor]: Taking taylor expansion of re in re 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify 1 into 1 2.327 * [backup-simplify]: Simplify (* 1 1) into 1 2.327 * [backup-simplify]: Simplify (/ 1 1) into 1 2.327 * [backup-simplify]: Simplify (+ 0 1) into 1 2.328 * [backup-simplify]: Simplify (sqrt 1) into 1 2.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.328 * [backup-simplify]: Simplify (+ 0 0) into 0 2.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.329 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.329 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.329 * [taylor]: Taking taylor expansion of im in re 2.329 * [backup-simplify]: Simplify im into im 2.329 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.329 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.329 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.329 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.329 * [taylor]: Taking taylor expansion of re in re 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify 1 into 1 2.329 * [backup-simplify]: Simplify (* 1 1) into 1 2.330 * [backup-simplify]: Simplify (/ 1 1) into 1 2.330 * [backup-simplify]: Simplify (+ 0 1) into 1 2.330 * [backup-simplify]: Simplify (sqrt 1) into 1 2.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.331 * [backup-simplify]: Simplify (+ 0 0) into 0 2.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.331 * [taylor]: Taking taylor expansion of 1 in im 2.331 * [backup-simplify]: Simplify 1 into 1 2.332 * [taylor]: Taking taylor expansion of 0 in im 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify 1 into 1 2.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.333 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.333 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.333 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.333 * [taylor]: Taking taylor expansion of 1/2 in im 2.333 * [backup-simplify]: Simplify 1/2 into 1/2 2.333 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.333 * [taylor]: Taking taylor expansion of im in im 2.333 * [backup-simplify]: Simplify 0 into 0 2.334 * [backup-simplify]: Simplify 1 into 1 2.334 * [backup-simplify]: Simplify (* 1 1) into 1 2.334 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.335 * [backup-simplify]: Simplify 0 into 0 2.335 * [backup-simplify]: Simplify 0 into 0 2.335 * [backup-simplify]: Simplify 0 into 0 2.335 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.336 * [backup-simplify]: Simplify (+ 0 0) into 0 2.337 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.337 * [taylor]: Taking taylor expansion of 0 in im 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.338 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.338 * * * [progress]: simplifying candidates 2.339 * [simplify]: Simplifying: (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* 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)))) (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) im re (* -1 re) 2.339 * [simplify]: Sending expressions to egg_math: (log (cbrt (+ (* h1 h1) (* h0 h0)))) (exp (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt 1) (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (cbrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (cbrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (cbrt (- (* h1 h1) (* h0 h0))) (* (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0))))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (* (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (log (cbrt (+ (* h1 h1) (* h0 h0)))) (exp (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt 1) (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (cbrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (cbrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (cbrt (- (* h1 h1) (* h0 h0))) (* (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0))))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (* (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (log (cbrt (+ (* h1 h1) (* h0 h0)))) (exp (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt 1) (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (cbrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (cbrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (cbrt (- (* h1 h1) (* h0 h0))) (* (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0))))) (cbrt (cbrt (+ (* h1 h1) (* h0 h0)))) (* (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (cbrt (+ (* 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)))) (+ (* 1/3 (* (pow h1 2) (pow (/ 1 (pow h0 4)) 1/3))) (pow h0 2/3)) (pow (/ 1 h1) -2/3) (pow (/ -1 h1) -2/3) (+ (* 1/3 (* (pow h1 2) (pow (/ 1 (pow h0 4)) 1/3))) (pow h0 2/3)) (pow (/ 1 h1) -2/3) (pow (/ -1 h1) -2/3) (+ (* 1/3 (* (pow h1 2) (pow (/ 1 (pow h0 4)) 1/3))) (pow h0 2/3)) (pow (/ 1 h1) -2/3) (pow (/ -1 h1) -2/3) h0 h1 (* -1 h1) 2.343 * * [simplify]: iteration 0 : 141 enodes (cost 466 ) 2.346 * * [simplify]: iteration 1 : 440 enodes (cost 436 ) 2.354 * * [simplify]: iteration 2 : 1469 enodes (cost 430 ) 2.387 * * [simplify]: iteration 3 : 5002 enodes (cost 429 ) 2.389 * * * [progress]: adding candidates to table 2.786 * [progress]: [Phase 3 of 3] Extracting. 2.786 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.793 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 2.793 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #) 2.842 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #) 2.889 * * * * [regimes]: Trying to branch on im from (# # # # # # # # #) 2.954 * * * * [regimes]: Trying to branch on re from (# # # # # # # # #) 3.017 * * * [regime]: Found split indices: #