42.212 * [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: (* h0 (sqrt (* h1 (+ (sqrt (+ (* h2 h2) (* h3 h3))) h2)))) 0.031 * * [simplify]: iteration 0 : 22 enodes (cost 8 ) 0.032 * * [simplify]: iteration 1 : 24 enodes (cost 8 ) 0.034 * * [simplify]: iteration 2 : 24 enodes (cost 8 ) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.055 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.087 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1 1) 0.096 * * * [progress]: generating series expansions 0.096 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.096 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.096 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.096 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.096 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.096 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.096 * [taylor]: Taking taylor expansion of re in im 0.096 * [backup-simplify]: Simplify re into re 0.096 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.096 * [taylor]: Taking taylor expansion of im in im 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.097 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.097 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.097 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.097 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.097 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.098 * [taylor]: Taking taylor expansion of re in re 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.098 * [taylor]: Taking taylor expansion of im in re 0.098 * [backup-simplify]: Simplify im into im 0.098 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.098 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.098 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.098 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.098 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.098 * [taylor]: Taking taylor expansion of re in re 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.098 * [taylor]: Taking taylor expansion of im in re 0.099 * [backup-simplify]: Simplify im into im 0.099 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.099 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.099 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.099 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.099 * [taylor]: Taking taylor expansion of im in im 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [taylor]: Taking taylor expansion of 0 in im 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (* 1 1) into 1 0.100 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.100 * [backup-simplify]: Simplify (+ 1 0) into 1 0.101 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.101 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.101 * [taylor]: Taking taylor expansion of 1/2 in im 0.101 * [backup-simplify]: Simplify 1/2 into 1/2 0.101 * [taylor]: Taking taylor expansion of im in im 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.103 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.103 * [taylor]: Taking taylor expansion of 0 in im 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.104 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.104 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.104 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.104 * [taylor]: Taking taylor expansion of im in im 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (* 1 1) into 1 0.105 * [backup-simplify]: Simplify (/ 1 1) into 1 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.105 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.105 * [taylor]: Taking taylor expansion of re in im 0.105 * [backup-simplify]: Simplify re into re 0.105 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.105 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.105 * [backup-simplify]: Simplify (+ 1 0) into 1 0.106 * [backup-simplify]: Simplify (sqrt 1) into 1 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.107 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.107 * [taylor]: Taking taylor expansion of im in re 0.107 * [backup-simplify]: Simplify im into im 0.107 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.107 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.107 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.108 * [taylor]: Taking taylor expansion of re in re 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (* 1 1) into 1 0.108 * [backup-simplify]: Simplify (/ 1 1) into 1 0.108 * [backup-simplify]: Simplify (+ 0 1) into 1 0.109 * [backup-simplify]: Simplify (sqrt 1) into 1 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 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 (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 0.111 * [backup-simplify]: Simplify (* 1 1) into 1 0.111 * [backup-simplify]: Simplify (/ 1 1) into 1 0.111 * [backup-simplify]: Simplify (+ 0 1) into 1 0.111 * [backup-simplify]: Simplify (sqrt 1) into 1 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.113 * [taylor]: Taking taylor expansion of 1 in im 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [taylor]: Taking taylor expansion of 0 in im 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.115 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.115 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.115 * [taylor]: Taking taylor expansion of 1/2 in im 0.115 * [backup-simplify]: Simplify 1/2 into 1/2 0.115 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.115 * [taylor]: Taking taylor expansion of im in im 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (* 1 1) into 1 0.116 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.119 * [taylor]: Taking taylor expansion of 0 in im 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.120 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.120 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.120 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.120 * [taylor]: Taking taylor expansion of im in im 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (* 1 1) into 1 0.121 * [backup-simplify]: Simplify (/ 1 1) into 1 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.121 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.121 * [taylor]: Taking taylor expansion of re in im 0.121 * [backup-simplify]: Simplify re into re 0.121 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.121 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.121 * [backup-simplify]: Simplify (+ 1 0) into 1 0.121 * [backup-simplify]: Simplify (sqrt 1) into 1 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.123 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.123 * [taylor]: Taking taylor expansion of im in re 0.123 * [backup-simplify]: Simplify im into im 0.123 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.123 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.123 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.123 * [taylor]: Taking taylor expansion of re in re 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (* 1 1) into 1 0.124 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [backup-simplify]: Simplify (+ 0 1) into 1 0.124 * [backup-simplify]: Simplify (sqrt 1) into 1 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.126 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.126 * [taylor]: Taking taylor expansion of im in re 0.126 * [backup-simplify]: Simplify im into im 0.126 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.126 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.126 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.126 * [taylor]: Taking taylor expansion of re in re 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (* 1 1) into 1 0.127 * [backup-simplify]: Simplify (/ 1 1) into 1 0.127 * [backup-simplify]: Simplify (+ 0 1) into 1 0.127 * [backup-simplify]: Simplify (sqrt 1) into 1 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.129 * [taylor]: Taking taylor expansion of 1 in im 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [taylor]: Taking taylor expansion of 0 in im 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.131 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.131 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.131 * [taylor]: Taking taylor expansion of 1/2 in im 0.131 * [backup-simplify]: Simplify 1/2 into 1/2 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 (/ 1/2 1) into 1/2 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.134 * [taylor]: Taking taylor expansion of 0 in im 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.135 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.136 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 0.136 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.136 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.136 * [taylor]: Taking taylor expansion of re in im 0.136 * [backup-simplify]: Simplify re into re 0.136 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.136 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.136 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.136 * [taylor]: Taking taylor expansion of re in im 0.136 * [backup-simplify]: Simplify re into re 0.136 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.136 * [taylor]: Taking taylor expansion of im in im 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.136 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.136 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.136 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.137 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.137 * [taylor]: Taking taylor expansion of re in re 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.137 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.137 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.137 * [taylor]: Taking taylor expansion of re in re 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.137 * [taylor]: Taking taylor expansion of im in re 0.137 * [backup-simplify]: Simplify im into im 0.137 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.137 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.137 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.137 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.137 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.137 * [taylor]: Taking taylor expansion of re in re 0.137 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.138 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.138 * [taylor]: Taking taylor expansion of re in re 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.138 * [taylor]: Taking taylor expansion of im in re 0.138 * [backup-simplify]: Simplify im into im 0.138 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.138 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.138 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.138 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.138 * [backup-simplify]: Simplify (+ 0 im) into im 0.138 * [taylor]: Taking taylor expansion of im in im 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (+ 1 0) into 1 0.139 * [taylor]: Taking taylor expansion of 1 in im 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (* 1 1) into 1 0.139 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.140 * [backup-simplify]: Simplify (+ 1 0) into 1 0.140 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.140 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.140 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.140 * [taylor]: Taking taylor expansion of 1/2 in im 0.140 * [backup-simplify]: Simplify 1/2 into 1/2 0.140 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.140 * [taylor]: Taking taylor expansion of im in im 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.142 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [taylor]: Taking taylor expansion of 0 in im 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 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 (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.144 * [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))))) 0.145 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.145 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.145 * [taylor]: Taking taylor expansion of re in im 0.145 * [backup-simplify]: Simplify re into re 0.145 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.145 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.145 * [taylor]: Taking taylor expansion of im in im 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (* 1 1) into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.145 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.145 * [taylor]: Taking taylor expansion of re in im 0.145 * [backup-simplify]: Simplify re into re 0.145 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.145 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.146 * [backup-simplify]: Simplify (+ 1 0) into 1 0.146 * [backup-simplify]: Simplify (sqrt 1) into 1 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.148 * [taylor]: Taking taylor expansion of (/ 1 re) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.148 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.148 * [taylor]: Taking taylor expansion of im in re 0.148 * [backup-simplify]: Simplify im into im 0.148 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.148 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [backup-simplify]: Simplify (+ 0 1) into 1 0.149 * [backup-simplify]: Simplify (sqrt 1) into 1 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.151 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.151 * [taylor]: Taking taylor expansion of re in re 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.151 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.151 * [taylor]: Taking taylor expansion of im in re 0.151 * [backup-simplify]: Simplify im into im 0.151 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.151 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.151 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.151 * [taylor]: Taking taylor expansion of re in re 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [backup-simplify]: Simplify (+ 0 1) into 1 0.152 * [backup-simplify]: Simplify (sqrt 1) into 1 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.154 * [backup-simplify]: Simplify (+ 1 1) into 2 0.154 * [taylor]: Taking taylor expansion of 2 in im 0.154 * [backup-simplify]: Simplify 2 into 2 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [taylor]: Taking taylor expansion of 0 in im 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 2 into 2 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.157 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.157 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.157 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.157 * [taylor]: Taking taylor expansion of 1/2 in im 0.157 * [backup-simplify]: Simplify 1/2 into 1/2 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.157 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.158 * [taylor]: Taking taylor expansion of im in im 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (* 1 1) into 1 0.158 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [taylor]: Taking taylor expansion of 0 in im 0.162 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.164 * [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)) 0.164 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.164 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.164 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.164 * [taylor]: Taking taylor expansion of im in im 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (* 1 1) into 1 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.165 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.165 * [taylor]: Taking taylor expansion of re in im 0.165 * [backup-simplify]: Simplify re into re 0.165 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.165 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.165 * [backup-simplify]: Simplify (+ 1 0) into 1 0.165 * [backup-simplify]: Simplify (sqrt 1) into 1 0.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.172 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.172 * [taylor]: Taking taylor expansion of re in im 0.172 * [backup-simplify]: Simplify re into re 0.172 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.172 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.172 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.172 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.172 * [taylor]: Taking taylor expansion of im in re 0.172 * [backup-simplify]: Simplify im into im 0.172 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.172 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.172 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.172 * [taylor]: Taking taylor expansion of re in re 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (* 1 1) into 1 0.173 * [backup-simplify]: Simplify (/ 1 1) into 1 0.173 * [backup-simplify]: Simplify (+ 0 1) into 1 0.173 * [backup-simplify]: Simplify (sqrt 1) into 1 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.175 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.175 * [taylor]: Taking taylor expansion of re in re 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.175 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.175 * [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) 0.176 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.176 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.176 * [taylor]: Taking taylor expansion of re in re 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (* 1 1) into 1 0.176 * [backup-simplify]: Simplify (/ 1 1) into 1 0.177 * [backup-simplify]: Simplify (+ 0 1) into 1 0.177 * [backup-simplify]: Simplify (sqrt 1) into 1 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.178 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.178 * [taylor]: Taking taylor expansion of re in re 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (/ 1 1) into 1 0.179 * [backup-simplify]: Simplify (- 1) into -1 0.179 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.179 * [taylor]: Taking taylor expansion of 0 in im 0.179 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (- 0) into 0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [taylor]: Taking taylor expansion of 0 in im 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.182 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (- 0) into 0 0.183 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.183 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.183 * [taylor]: Taking taylor expansion of 1/2 in im 0.183 * [backup-simplify]: Simplify 1/2 into 1/2 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.183 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.183 * [taylor]: Taking taylor expansion of im in im 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (* 1 1) into 1 0.184 * [backup-simplify]: Simplify (/ 1 1) into 1 0.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (- 0) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [taylor]: Taking taylor expansion of 0 in im 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1 1) 0.190 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.190 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.190 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.190 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.190 * [taylor]: Taking taylor expansion of re in im 0.190 * [backup-simplify]: Simplify re into re 0.190 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.190 * [taylor]: Taking taylor expansion of im in im 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.190 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.190 * [taylor]: Taking taylor expansion of re in re 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.190 * [taylor]: Taking taylor expansion of im in re 0.190 * [backup-simplify]: Simplify im into im 0.190 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.190 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.190 * [taylor]: Taking taylor expansion of re in re 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.190 * [taylor]: Taking taylor expansion of im in re 0.190 * [backup-simplify]: Simplify im into im 0.190 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.190 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.190 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.190 * [taylor]: Taking taylor expansion of im in im 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) 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 0 into 0 0.191 * [backup-simplify]: Simplify (* 1 1) into 1 0.191 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.192 * [backup-simplify]: Simplify (+ 1 0) into 1 0.192 * [taylor]: Taking taylor expansion of 1 in im 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (* 1 1) into 1 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.193 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.193 * [taylor]: Taking taylor expansion of 0 in im 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.195 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [taylor]: Taking taylor expansion of 0 in im 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.196 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.196 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.196 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.196 * [taylor]: Taking taylor expansion of im in im 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (* 1 1) into 1 0.196 * [backup-simplify]: Simplify (/ 1 1) into 1 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.196 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.196 * [taylor]: Taking taylor expansion of re in im 0.196 * [backup-simplify]: Simplify re into re 0.196 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.196 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 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 (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.197 * [backup-simplify]: Simplify (/ 1 1) into 1 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 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) 0.198 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.198 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.198 * [taylor]: Taking taylor expansion of re in re 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (* 1 1) into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [backup-simplify]: Simplify (+ 0 1) into 1 0.198 * [taylor]: Taking taylor expansion of 1 in im 0.198 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [taylor]: Taking taylor expansion of 0 in im 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.201 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.201 * [taylor]: Taking taylor expansion of im in im 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (* 1 1) into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [taylor]: Taking taylor expansion of 0 in im 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [taylor]: Taking taylor expansion of 0 in im 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.207 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.207 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.208 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.208 * [taylor]: Taking taylor expansion of im in im 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (* 1 1) into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.208 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.208 * [taylor]: Taking taylor expansion of re in im 0.208 * [backup-simplify]: Simplify re into re 0.208 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.208 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.208 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.208 * [taylor]: Taking taylor expansion of im in re 0.208 * [backup-simplify]: Simplify im into im 0.208 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.208 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.209 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.209 * [taylor]: Taking taylor expansion of re in re 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (* 1 1) into 1 0.209 * [backup-simplify]: Simplify (/ 1 1) into 1 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.209 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.209 * [taylor]: Taking taylor expansion of im in re 0.209 * [backup-simplify]: Simplify im into im 0.209 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.209 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.209 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.209 * [taylor]: Taking taylor expansion of re in re 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (* 1 1) into 1 0.210 * [backup-simplify]: Simplify (/ 1 1) into 1 0.210 * [backup-simplify]: Simplify (+ 0 1) into 1 0.210 * [taylor]: Taking taylor expansion of 1 in im 0.210 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [taylor]: Taking taylor expansion of 0 in im 0.211 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.212 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.212 * [taylor]: Taking taylor expansion of im in im 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (* 1 1) into 1 0.213 * [backup-simplify]: Simplify (/ 1 1) into 1 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (+ 0 0) into 0 0.215 * [taylor]: Taking taylor expansion of 0 in im 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [taylor]: Taking taylor expansion of 0 in im 0.217 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.219 * * * [progress]: simplifying candidates 0.220 * [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) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.220 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (exp h0)) (log (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (exp (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (* (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (* (* (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (+ (pow (sqrt (+ (* h0 h0) (* h1 h1))) 3) (pow h0 3)) (+ (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (- (* h0 h0) (* (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (- (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (* h0 h0)) (- (sqrt (+ (* h0 h0) (* h1 h1))) h0) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (* (exp (* h0 h0)) (exp (* h1 h1))) (log (+ (* h0 h0) (* h1 h1))) (exp (+ (* h0 h0) (* h1 h1))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (* h0 h0) (* h1 h1)) h1 h0 (* -1 h0) (+ h0 h1) (* 2 h0) 0 (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) 0.224 * * [simplify]: iteration 0 : 178 enodes (cost 275 ) 0.229 * * [simplify]: iteration 1 : 689 enodes (cost 252 ) 0.242 * * [simplify]: iteration 2 : 2017 enodes (cost 248 ) 0.296 * * [simplify]: iteration 3 : 5001 enodes (cost 246 ) 0.298 * * * [progress]: adding candidates to table 0.440 * * [progress]: iteration 2 / 4 0.440 * * * [progress]: picking best candidate 0.456 * * * * [pick]: Picked # 0.456 * * * [progress]: localizing error 0.471 * * * [progress]: generating rewritten candidates 0.471 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 2) 0.476 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 2) 0.481 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 0.486 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 0.559 * * * [progress]: generating series expansions 0.559 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 2) 0.559 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow re 2) (pow im 2)) 1/3) 0.559 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in (re im) around 0 0.559 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im 0.559 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im 0.559 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im 0.559 * [taylor]: Taking taylor expansion of 1/3 in im 0.559 * [backup-simplify]: Simplify 1/3 into 1/3 0.559 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 0.559 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.559 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.559 * [taylor]: Taking taylor expansion of re in im 0.559 * [backup-simplify]: Simplify re into re 0.559 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.559 * [taylor]: Taking taylor expansion of im in im 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 1 into 1 0.559 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.560 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.560 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 0.560 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 0.560 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 0.560 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 0.560 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 0.560 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 0.560 * [taylor]: Taking taylor expansion of 1/3 in re 0.560 * [backup-simplify]: Simplify 1/3 into 1/3 0.560 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.560 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.560 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.560 * [taylor]: Taking taylor expansion of re in re 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 1 into 1 0.560 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.560 * [taylor]: Taking taylor expansion of im in re 0.560 * [backup-simplify]: Simplify im into im 0.560 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.560 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.560 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 0.560 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 0.560 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 0.561 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 0.561 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 0.561 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 0.561 * [taylor]: Taking taylor expansion of 1/3 in re 0.561 * [backup-simplify]: Simplify 1/3 into 1/3 0.561 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.561 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.561 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.561 * [taylor]: Taking taylor expansion of re in re 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 1 into 1 0.561 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.561 * [taylor]: Taking taylor expansion of im in re 0.561 * [backup-simplify]: Simplify im into im 0.561 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.561 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.561 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 0.561 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 0.561 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 0.561 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 0.561 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 0.561 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 0.561 * [taylor]: Taking taylor expansion of 1/3 in im 0.561 * [backup-simplify]: Simplify 1/3 into 1/3 0.561 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 0.561 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.561 * [taylor]: Taking taylor expansion of im in im 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 1 into 1 0.562 * [backup-simplify]: Simplify (* 1 1) into 1 0.562 * [backup-simplify]: Simplify (log 1) into 0 0.563 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.563 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 0.563 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 0.563 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 0.563 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.563 * [backup-simplify]: Simplify (+ 0 0) into 0 0.564 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 0.564 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 0.565 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 0.565 * [taylor]: Taking taylor expansion of 0 in im 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.566 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.566 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.567 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 0.568 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify (* 1 1) into 1 0.568 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.568 * [backup-simplify]: Simplify (+ 1 0) into 1 0.570 * [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)) 0.570 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 0.571 * [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)) 0.571 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 0.571 * [taylor]: Taking taylor expansion of 1/3 in im 0.571 * [backup-simplify]: Simplify 1/3 into 1/3 0.571 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 0.571 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 0.571 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 0.571 * [taylor]: Taking taylor expansion of 1/3 in im 0.571 * [backup-simplify]: Simplify 1/3 into 1/3 0.571 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 0.571 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.571 * [taylor]: Taking taylor expansion of im in im 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [backup-simplify]: Simplify (* 1 1) into 1 0.572 * [backup-simplify]: Simplify (* 1 1) into 1 0.572 * [backup-simplify]: Simplify (/ 1 1) into 1 0.572 * [backup-simplify]: Simplify (log 1) into 0 0.572 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 0.572 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 0.572 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 0.573 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 0.573 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.575 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.575 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.576 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 0.577 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.578 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.578 * [backup-simplify]: Simplify (+ 0 0) into 0 0.580 * [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 0.580 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 0.582 * [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 0.582 * [taylor]: Taking taylor expansion of 0 in im 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.584 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 0.585 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 0.585 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 0.585 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 0.585 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.589 * [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 0.589 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.590 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 0.591 * [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 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [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)) 0.592 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 0.592 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 0.592 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 0.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.592 * [taylor]: Taking taylor expansion of 1/3 in im 0.592 * [backup-simplify]: Simplify 1/3 into 1/3 0.592 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.592 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.592 * [taylor]: Taking taylor expansion of im in im 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [backup-simplify]: Simplify (* 1 1) into 1 0.592 * [backup-simplify]: Simplify (/ 1 1) into 1 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.592 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.592 * [taylor]: Taking taylor expansion of re in im 0.592 * [backup-simplify]: Simplify re into re 0.593 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.593 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.593 * [backup-simplify]: Simplify (+ 1 0) into 1 0.593 * [backup-simplify]: Simplify (log 1) into 0 0.593 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 0.598 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 0.598 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 0.598 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 0.598 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.598 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.598 * [taylor]: Taking taylor expansion of 1/3 in re 0.598 * [backup-simplify]: Simplify 1/3 into 1/3 0.598 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.598 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.598 * [taylor]: Taking taylor expansion of im in re 0.598 * [backup-simplify]: Simplify im into im 0.598 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.599 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.599 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.599 * [taylor]: Taking taylor expansion of re in re 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify 1 into 1 0.599 * [backup-simplify]: Simplify (* 1 1) into 1 0.600 * [backup-simplify]: Simplify (/ 1 1) into 1 0.600 * [backup-simplify]: Simplify (+ 0 1) into 1 0.600 * [backup-simplify]: Simplify (log 1) into 0 0.600 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.600 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.601 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.601 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 0.601 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.601 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.601 * [taylor]: Taking taylor expansion of 1/3 in re 0.601 * [backup-simplify]: Simplify 1/3 into 1/3 0.601 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.601 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.601 * [taylor]: Taking taylor expansion of im in re 0.601 * [backup-simplify]: Simplify im into im 0.601 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.601 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.601 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.601 * [taylor]: Taking taylor expansion of re in re 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [backup-simplify]: Simplify (* 1 1) into 1 0.601 * [backup-simplify]: Simplify (/ 1 1) into 1 0.602 * [backup-simplify]: Simplify (+ 0 1) into 1 0.602 * [backup-simplify]: Simplify (log 1) into 0 0.602 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.602 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.602 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.603 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 0.603 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 0.603 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 0.603 * [taylor]: Taking taylor expansion of -2/3 in im 0.603 * [backup-simplify]: Simplify -2/3 into -2/3 0.603 * [taylor]: Taking taylor expansion of (log re) in im 0.603 * [taylor]: Taking taylor expansion of re in im 0.603 * [backup-simplify]: Simplify re into re 0.603 * [backup-simplify]: Simplify (log re) into (log re) 0.603 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 0.603 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.603 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 0.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (+ 0 0) into 0 0.605 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.605 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.605 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 0.606 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.606 * [taylor]: Taking taylor expansion of 0 in im 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 0.607 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 0.607 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.607 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.609 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.610 * [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)) 0.610 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.610 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 0.611 * [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)))) 0.611 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 0.611 * [taylor]: Taking taylor expansion of 1/3 in im 0.611 * [backup-simplify]: Simplify 1/3 into 1/3 0.611 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 0.611 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 0.611 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 0.611 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 0.611 * [taylor]: Taking taylor expansion of 1/3 in im 0.611 * [backup-simplify]: Simplify 1/3 into 1/3 0.611 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.611 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.611 * [taylor]: Taking taylor expansion of re in im 0.611 * [backup-simplify]: Simplify re into re 0.611 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.612 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.612 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 0.612 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 0.612 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.612 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.612 * [taylor]: Taking taylor expansion of im in im 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 1 into 1 0.612 * [backup-simplify]: Simplify (* 1 1) into 1 0.612 * [backup-simplify]: Simplify (/ 1 1) into 1 0.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.614 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 0.615 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 0.615 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 0.616 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.616 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 0.618 * [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 0.618 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 0.619 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.620 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.620 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 0.620 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 0.621 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 0.623 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 0.623 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.623 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.625 * [backup-simplify]: Simplify (+ 0 0) into 0 0.627 * [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 0.628 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.629 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 0.630 * [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 0.630 * [taylor]: Taking taylor expansion of 0 in im 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 0.630 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 0.630 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 0.631 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 0.631 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.631 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.631 * [taylor]: Taking taylor expansion of 1/3 in im 0.631 * [backup-simplify]: Simplify 1/3 into 1/3 0.631 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.631 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.631 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.631 * [taylor]: Taking taylor expansion of im in im 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [backup-simplify]: Simplify (* 1 1) into 1 0.631 * [backup-simplify]: Simplify (/ 1 1) into 1 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.631 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.631 * [taylor]: Taking taylor expansion of re in im 0.631 * [backup-simplify]: Simplify re into re 0.631 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.631 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.632 * [backup-simplify]: Simplify (+ 1 0) into 1 0.632 * [backup-simplify]: Simplify (log 1) into 0 0.632 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 0.632 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 0.632 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 0.632 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 0.632 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.632 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.632 * [taylor]: Taking taylor expansion of 1/3 in re 0.632 * [backup-simplify]: Simplify 1/3 into 1/3 0.632 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.632 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.633 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.633 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.633 * [taylor]: Taking taylor expansion of im in re 0.633 * [backup-simplify]: Simplify im into im 0.633 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.633 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.633 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.633 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.633 * [taylor]: Taking taylor expansion of re in re 0.633 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify 1 into 1 0.633 * [backup-simplify]: Simplify (* 1 1) into 1 0.633 * [backup-simplify]: Simplify (/ 1 1) into 1 0.633 * [backup-simplify]: Simplify (+ 0 1) into 1 0.634 * [backup-simplify]: Simplify (log 1) into 0 0.634 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.634 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.634 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.634 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 0.634 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.634 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.634 * [taylor]: Taking taylor expansion of 1/3 in re 0.634 * [backup-simplify]: Simplify 1/3 into 1/3 0.634 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.634 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.634 * [taylor]: Taking taylor expansion of im in re 0.634 * [backup-simplify]: Simplify im into im 0.634 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.634 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.635 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.635 * [taylor]: Taking taylor expansion of re in re 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 1 into 1 0.635 * [backup-simplify]: Simplify (* 1 1) into 1 0.635 * [backup-simplify]: Simplify (/ 1 1) into 1 0.635 * [backup-simplify]: Simplify (+ 0 1) into 1 0.636 * [backup-simplify]: Simplify (log 1) into 0 0.636 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.636 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.636 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.636 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 0.636 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 0.636 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 0.636 * [taylor]: Taking taylor expansion of -2/3 in im 0.636 * [backup-simplify]: Simplify -2/3 into -2/3 0.636 * [taylor]: Taking taylor expansion of (log re) in im 0.636 * [taylor]: Taking taylor expansion of re in im 0.636 * [backup-simplify]: Simplify re into re 0.636 * [backup-simplify]: Simplify (log re) into (log re) 0.636 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 0.636 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.636 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 0.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.637 * [backup-simplify]: Simplify (+ 0 0) into 0 0.638 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.638 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.639 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 0.639 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.639 * [taylor]: Taking taylor expansion of 0 in im 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 0.640 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 0.641 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.642 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.643 * [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)) 0.643 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.644 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 0.644 * [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)))) 0.644 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 0.644 * [taylor]: Taking taylor expansion of 1/3 in im 0.644 * [backup-simplify]: Simplify 1/3 into 1/3 0.644 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 0.644 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 0.644 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 0.644 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 0.645 * [taylor]: Taking taylor expansion of 1/3 in im 0.645 * [backup-simplify]: Simplify 1/3 into 1/3 0.645 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 0.645 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.645 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.645 * [taylor]: Taking taylor expansion of re in im 0.645 * [backup-simplify]: Simplify re into re 0.645 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.645 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.645 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 0.645 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 0.645 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 0.645 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.645 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.645 * [taylor]: Taking taylor expansion of im in im 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 1 into 1 0.645 * [backup-simplify]: Simplify (* 1 1) into 1 0.646 * [backup-simplify]: Simplify (/ 1 1) into 1 0.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.647 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 0.648 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 0.649 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 0.649 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.650 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 0.651 * [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 0.652 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 0.652 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.653 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.653 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 0.653 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 0.654 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 0.656 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 0.656 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.658 * [backup-simplify]: Simplify (+ 0 0) into 0 0.660 * [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 0.661 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.661 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 0.663 * [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 0.663 * [taylor]: Taking taylor expansion of 0 in im 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 0.663 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 2) 0.663 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow re 2) (pow im 2)) 1/3) 0.663 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in (re im) around 0 0.663 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im 0.663 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im 0.663 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im 0.663 * [taylor]: Taking taylor expansion of 1/3 in im 0.663 * [backup-simplify]: Simplify 1/3 into 1/3 0.663 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 0.663 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.663 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.663 * [taylor]: Taking taylor expansion of re in im 0.663 * [backup-simplify]: Simplify re into re 0.663 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.663 * [taylor]: Taking taylor expansion of im in im 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify 1 into 1 0.663 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.663 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.663 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 0.664 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 0.664 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 0.664 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 0.664 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 0.664 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 0.664 * [taylor]: Taking taylor expansion of 1/3 in re 0.664 * [backup-simplify]: Simplify 1/3 into 1/3 0.664 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.664 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.664 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.664 * [taylor]: Taking taylor expansion of re in re 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify 1 into 1 0.664 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.664 * [taylor]: Taking taylor expansion of im in re 0.664 * [backup-simplify]: Simplify im into im 0.664 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.664 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.664 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 0.664 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 0.664 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 0.664 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 0.664 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 0.664 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 0.664 * [taylor]: Taking taylor expansion of 1/3 in re 0.664 * [backup-simplify]: Simplify 1/3 into 1/3 0.664 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.664 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.664 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.665 * [taylor]: Taking taylor expansion of re in re 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify 1 into 1 0.665 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.665 * [taylor]: Taking taylor expansion of im in re 0.665 * [backup-simplify]: Simplify im into im 0.665 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.665 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.665 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 0.665 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 0.665 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 0.665 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 0.665 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 0.665 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 0.665 * [taylor]: Taking taylor expansion of 1/3 in im 0.665 * [backup-simplify]: Simplify 1/3 into 1/3 0.665 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 0.665 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.665 * [taylor]: Taking taylor expansion of im in im 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify 1 into 1 0.666 * [backup-simplify]: Simplify (* 1 1) into 1 0.666 * [backup-simplify]: Simplify (log 1) into 0 0.666 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.666 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 0.666 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 0.666 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 0.666 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.667 * [backup-simplify]: Simplify (+ 0 0) into 0 0.667 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 0.668 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 0.668 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 0.668 * [taylor]: Taking taylor expansion of 0 in im 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.669 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.670 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.670 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 0.671 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify (* 1 1) into 1 0.671 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.671 * [backup-simplify]: Simplify (+ 1 0) into 1 0.673 * [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)) 0.673 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 0.674 * [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)) 0.674 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 0.674 * [taylor]: Taking taylor expansion of 1/3 in im 0.674 * [backup-simplify]: Simplify 1/3 into 1/3 0.674 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 0.674 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 0.674 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 0.674 * [taylor]: Taking taylor expansion of 1/3 in im 0.674 * [backup-simplify]: Simplify 1/3 into 1/3 0.674 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 0.674 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.674 * [taylor]: Taking taylor expansion of im in im 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 1 into 1 0.674 * [backup-simplify]: Simplify (* 1 1) into 1 0.674 * [backup-simplify]: Simplify (* 1 1) into 1 0.675 * [backup-simplify]: Simplify (/ 1 1) into 1 0.675 * [backup-simplify]: Simplify (log 1) into 0 0.675 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 0.675 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 0.675 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 0.675 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 0.676 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.678 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.678 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.678 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 0.679 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.679 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.680 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.680 * [backup-simplify]: Simplify (+ 0 0) into 0 0.682 * [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 0.683 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 0.684 * [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 0.684 * [taylor]: Taking taylor expansion of 0 in im 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.686 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.687 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 0.687 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 0.687 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 0.688 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify 0 into 0 0.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.691 * [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 0.692 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.692 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 0.693 * [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 0.693 * [backup-simplify]: Simplify 0 into 0 0.694 * [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)) 0.694 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 0.694 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 0.694 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 0.694 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.694 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.694 * [taylor]: Taking taylor expansion of 1/3 in im 0.694 * [backup-simplify]: Simplify 1/3 into 1/3 0.694 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.694 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.694 * [taylor]: Taking taylor expansion of im in im 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 1 into 1 0.694 * [backup-simplify]: Simplify (* 1 1) into 1 0.695 * [backup-simplify]: Simplify (/ 1 1) into 1 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.695 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.695 * [taylor]: Taking taylor expansion of re in im 0.695 * [backup-simplify]: Simplify re into re 0.695 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.695 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.695 * [backup-simplify]: Simplify (+ 1 0) into 1 0.695 * [backup-simplify]: Simplify (log 1) into 0 0.696 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 0.696 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 0.696 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 0.696 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 0.696 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.696 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.696 * [taylor]: Taking taylor expansion of 1/3 in re 0.696 * [backup-simplify]: Simplify 1/3 into 1/3 0.696 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.696 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.696 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.696 * [taylor]: Taking taylor expansion of im in re 0.696 * [backup-simplify]: Simplify im into im 0.696 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.696 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.696 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.696 * [taylor]: Taking taylor expansion of re in re 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 1 into 1 0.697 * [backup-simplify]: Simplify (* 1 1) into 1 0.697 * [backup-simplify]: Simplify (/ 1 1) into 1 0.697 * [backup-simplify]: Simplify (+ 0 1) into 1 0.697 * [backup-simplify]: Simplify (log 1) into 0 0.704 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.704 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.704 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.704 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 0.704 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.704 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.704 * [taylor]: Taking taylor expansion of 1/3 in re 0.704 * [backup-simplify]: Simplify 1/3 into 1/3 0.704 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.704 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.704 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.704 * [taylor]: Taking taylor expansion of im in re 0.704 * [backup-simplify]: Simplify im into im 0.704 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.704 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.704 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.704 * [taylor]: Taking taylor expansion of re in re 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify 1 into 1 0.705 * [backup-simplify]: Simplify (* 1 1) into 1 0.705 * [backup-simplify]: Simplify (/ 1 1) into 1 0.706 * [backup-simplify]: Simplify (+ 0 1) into 1 0.706 * [backup-simplify]: Simplify (log 1) into 0 0.706 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.706 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.706 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.706 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 0.706 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 0.706 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 0.706 * [taylor]: Taking taylor expansion of -2/3 in im 0.706 * [backup-simplify]: Simplify -2/3 into -2/3 0.707 * [taylor]: Taking taylor expansion of (log re) in im 0.707 * [taylor]: Taking taylor expansion of re in im 0.707 * [backup-simplify]: Simplify re into re 0.707 * [backup-simplify]: Simplify (log re) into (log re) 0.707 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 0.707 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.707 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 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 0.709 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.709 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.709 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 0.710 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.710 * [taylor]: Taking taylor expansion of 0 in im 0.710 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 0.711 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 0.711 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.711 * [backup-simplify]: Simplify 0 into 0 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 0.713 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.714 * [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)) 0.714 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.715 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 0.715 * [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)))) 0.715 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 0.715 * [taylor]: Taking taylor expansion of 1/3 in im 0.715 * [backup-simplify]: Simplify 1/3 into 1/3 0.715 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 0.715 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 0.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 0.715 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 0.715 * [taylor]: Taking taylor expansion of 1/3 in im 0.715 * [backup-simplify]: Simplify 1/3 into 1/3 0.716 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 0.716 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.716 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.716 * [taylor]: Taking taylor expansion of re in im 0.716 * [backup-simplify]: Simplify re into re 0.716 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.716 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.716 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 0.716 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 0.716 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 0.716 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.716 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.716 * [taylor]: Taking taylor expansion of im in im 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify 1 into 1 0.716 * [backup-simplify]: Simplify (* 1 1) into 1 0.717 * [backup-simplify]: Simplify (/ 1 1) into 1 0.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.718 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 0.719 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 0.720 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 0.720 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.721 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 0.722 * [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 0.723 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 0.723 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.724 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.724 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 0.724 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 0.725 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 0.727 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 0.727 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.727 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.729 * [backup-simplify]: Simplify (+ 0 0) into 0 0.731 * [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 0.731 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.732 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 0.733 * [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 0.733 * [taylor]: Taking taylor expansion of 0 in im 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 0.734 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 0.734 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 0.734 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 0.734 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.734 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.734 * [taylor]: Taking taylor expansion of 1/3 in im 0.734 * [backup-simplify]: Simplify 1/3 into 1/3 0.734 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.734 * [taylor]: Taking taylor expansion of (pow im 2) in im 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 (* 1 1) into 1 0.734 * [backup-simplify]: Simplify (/ 1 1) into 1 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.735 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.735 * [taylor]: Taking taylor expansion of re in im 0.735 * [backup-simplify]: Simplify re into re 0.735 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.735 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.735 * [backup-simplify]: Simplify (+ 1 0) into 1 0.735 * [backup-simplify]: Simplify (log 1) into 0 0.735 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 0.736 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 0.736 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 0.736 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 0.736 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.736 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.736 * [taylor]: Taking taylor expansion of 1/3 in re 0.736 * [backup-simplify]: Simplify 1/3 into 1/3 0.736 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.736 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.736 * [taylor]: Taking taylor expansion of im in re 0.736 * [backup-simplify]: Simplify im into im 0.736 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.736 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.736 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.736 * [taylor]: Taking taylor expansion of re in re 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [backup-simplify]: Simplify (* 1 1) into 1 0.737 * [backup-simplify]: Simplify (/ 1 1) into 1 0.737 * [backup-simplify]: Simplify (+ 0 1) into 1 0.737 * [backup-simplify]: Simplify (log 1) into 0 0.738 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.738 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.738 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.738 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 0.738 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.738 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.738 * [taylor]: Taking taylor expansion of 1/3 in re 0.738 * [backup-simplify]: Simplify 1/3 into 1/3 0.738 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.738 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.738 * [taylor]: Taking taylor expansion of im in re 0.738 * [backup-simplify]: Simplify im into im 0.738 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.738 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.738 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.738 * [taylor]: Taking taylor expansion of re in re 0.738 * [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 * [backup-simplify]: Simplify (+ 0 1) into 1 0.740 * [backup-simplify]: Simplify (log 1) into 0 0.740 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.740 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.740 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.740 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 0.740 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 0.740 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 0.740 * [taylor]: Taking taylor expansion of -2/3 in im 0.740 * [backup-simplify]: Simplify -2/3 into -2/3 0.740 * [taylor]: Taking taylor expansion of (log re) in im 0.740 * [taylor]: Taking taylor expansion of re in im 0.740 * [backup-simplify]: Simplify re into re 0.740 * [backup-simplify]: Simplify (log re) into (log re) 0.740 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 0.740 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.740 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 0.741 * [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 0.742 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.743 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.743 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 0.743 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.743 * [taylor]: Taking taylor expansion of 0 in im 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 0.744 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 0.745 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.746 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.747 * [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)) 0.748 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.748 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 0.749 * [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)))) 0.749 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 0.749 * [taylor]: Taking taylor expansion of 1/3 in im 0.749 * [backup-simplify]: Simplify 1/3 into 1/3 0.749 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 0.749 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 0.749 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 0.749 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 0.749 * [taylor]: Taking taylor expansion of 1/3 in im 0.749 * [backup-simplify]: Simplify 1/3 into 1/3 0.749 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 0.749 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.749 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.749 * [taylor]: Taking taylor expansion of re in im 0.749 * [backup-simplify]: Simplify re into re 0.749 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.749 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.749 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 0.749 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 0.749 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 0.749 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.749 * [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 0.750 * [backup-simplify]: Simplify 1 into 1 0.750 * [backup-simplify]: Simplify (* 1 1) into 1 0.750 * [backup-simplify]: Simplify (/ 1 1) into 1 0.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.752 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 0.753 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 0.753 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 0.754 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.754 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 0.755 * [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 0.756 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 0.757 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.757 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.758 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 0.758 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 0.759 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 0.760 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 0.761 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.763 * [backup-simplify]: Simplify (+ 0 0) into 0 0.765 * [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 0.765 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.766 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 0.767 * [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 0.767 * [taylor]: Taking taylor expansion of 0 in im 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 0.767 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1) 0.767 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow re 2) (pow im 2)) 1/3) 0.767 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in (re im) around 0 0.767 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im 0.767 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im 0.767 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im 0.767 * [taylor]: Taking taylor expansion of 1/3 in im 0.768 * [backup-simplify]: Simplify 1/3 into 1/3 0.768 * [taylor]: Taking taylor expansion of (log (+ (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 (log (pow re 2)) into (log (pow re 2)) 0.768 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 0.768 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 0.768 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 0.768 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 0.768 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 0.768 * [taylor]: Taking taylor expansion of 1/3 in re 0.768 * [backup-simplify]: Simplify 1/3 into 1/3 0.768 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.768 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.768 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.768 * [taylor]: Taking taylor expansion of re in re 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify 1 into 1 0.768 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.768 * [taylor]: Taking taylor expansion of im in re 0.768 * [backup-simplify]: Simplify im into im 0.768 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.768 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.769 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 0.769 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 0.769 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 0.769 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 0.769 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 0.769 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 0.769 * [taylor]: Taking taylor expansion of 1/3 in re 0.769 * [backup-simplify]: Simplify 1/3 into 1/3 0.769 * [taylor]: Taking taylor expansion of (log (+ (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 (log (pow im 2)) into (log (pow im 2)) 0.769 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 0.769 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 0.769 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 0.769 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 0.769 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 0.769 * [taylor]: Taking taylor expansion of 1/3 in im 0.769 * [backup-simplify]: Simplify 1/3 into 1/3 0.769 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 0.770 * [taylor]: Taking taylor expansion of (pow im 2) in 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 (* 1 1) into 1 0.770 * [backup-simplify]: Simplify (log 1) into 0 0.770 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.770 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 0.771 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 0.771 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 0.771 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.771 * [backup-simplify]: Simplify (+ 0 0) into 0 0.771 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 0.772 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 0.772 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 0.772 * [taylor]: Taking taylor expansion of 0 in im 0.772 * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.774 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.774 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 0.775 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify (* 1 1) into 1 0.775 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.776 * [backup-simplify]: Simplify (+ 1 0) into 1 0.777 * [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)) 0.777 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 0.778 * [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)) 0.778 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 0.778 * [taylor]: Taking taylor expansion of 1/3 in im 0.778 * [backup-simplify]: Simplify 1/3 into 1/3 0.778 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 0.778 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 0.778 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 0.778 * [taylor]: Taking taylor expansion of 1/3 in im 0.778 * [backup-simplify]: Simplify 1/3 into 1/3 0.778 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 0.778 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 0.778 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.778 * [taylor]: Taking taylor expansion of im in im 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 1 into 1 0.778 * [backup-simplify]: Simplify (* 1 1) into 1 0.779 * [backup-simplify]: Simplify (* 1 1) into 1 0.779 * [backup-simplify]: Simplify (/ 1 1) into 1 0.779 * [backup-simplify]: Simplify (log 1) into 0 0.779 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 0.779 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 0.780 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 0.780 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 0.780 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.782 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.782 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.783 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 0.783 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.784 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.785 * [backup-simplify]: Simplify (+ 0 0) into 0 0.787 * [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 0.787 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 0.789 * [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 0.789 * [taylor]: Taking taylor expansion of 0 in im 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.791 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.791 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 0.792 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 0.792 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 0.793 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.796 * [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 0.796 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.797 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 0.798 * [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 0.798 * [backup-simplify]: Simplify 0 into 0 0.799 * [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)) 0.799 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 0.799 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 0.799 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 0.799 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.799 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.799 * [taylor]: Taking taylor expansion of 1/3 in im 0.799 * [backup-simplify]: Simplify 1/3 into 1/3 0.799 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.799 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.799 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.799 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.799 * [taylor]: Taking taylor expansion of im in im 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify 1 into 1 0.799 * [backup-simplify]: Simplify (* 1 1) into 1 0.800 * [backup-simplify]: Simplify (/ 1 1) into 1 0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.800 * [taylor]: Taking taylor expansion of (pow re 2) 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 (* re re) into (pow re 2) 0.800 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.800 * [backup-simplify]: Simplify (+ 1 0) into 1 0.800 * [backup-simplify]: Simplify (log 1) into 0 0.801 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 0.801 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 0.801 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 0.801 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 0.801 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.801 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.801 * [taylor]: Taking taylor expansion of 1/3 in re 0.801 * [backup-simplify]: Simplify 1/3 into 1/3 0.801 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.801 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.801 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.801 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.801 * [taylor]: Taking taylor expansion of im in re 0.801 * [backup-simplify]: Simplify im into im 0.801 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.801 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.801 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.801 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.801 * [taylor]: Taking taylor expansion of re in re 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 1 into 1 0.801 * [backup-simplify]: Simplify (* 1 1) into 1 0.802 * [backup-simplify]: Simplify (/ 1 1) into 1 0.802 * [backup-simplify]: Simplify (+ 0 1) into 1 0.802 * [backup-simplify]: Simplify (log 1) into 0 0.803 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.803 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.803 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.803 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 0.803 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.803 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.803 * [taylor]: Taking taylor expansion of 1/3 in re 0.803 * [backup-simplify]: Simplify 1/3 into 1/3 0.803 * [taylor]: Taking taylor expansion of (log (+ (/ 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 (log 1) into 0 0.810 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.810 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.810 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.810 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 0.810 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 0.810 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 0.810 * [taylor]: Taking taylor expansion of -2/3 in im 0.810 * [backup-simplify]: Simplify -2/3 into -2/3 0.810 * [taylor]: Taking taylor expansion of (log re) in im 0.810 * [taylor]: Taking taylor expansion of re in im 0.810 * [backup-simplify]: Simplify re into re 0.810 * [backup-simplify]: Simplify (log re) into (log re) 0.810 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 0.811 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.811 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 0.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.812 * [backup-simplify]: Simplify (+ 0 0) into 0 0.813 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.813 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.814 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 0.814 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.814 * [taylor]: Taking taylor expansion of 0 in im 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 0.815 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 0.816 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.817 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.818 * [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)) 0.818 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.819 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 0.819 * [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)))) 0.819 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 0.819 * [taylor]: Taking taylor expansion of 1/3 in im 0.819 * [backup-simplify]: Simplify 1/3 into 1/3 0.819 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 0.819 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 0.819 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 0.819 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 0.820 * [taylor]: Taking taylor expansion of 1/3 in im 0.820 * [backup-simplify]: Simplify 1/3 into 1/3 0.820 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 0.820 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.820 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.820 * [taylor]: Taking taylor expansion of re in im 0.820 * [backup-simplify]: Simplify re into re 0.820 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.820 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.820 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 0.820 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 0.820 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 0.820 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.820 * [taylor]: Taking taylor expansion of (pow im 2) in im 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 1) into 1 0.821 * [backup-simplify]: Simplify (/ 1 1) into 1 0.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 0.823 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 0.824 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 0.824 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.825 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 0.826 * [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 0.827 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 0.827 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.828 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.828 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 0.829 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 0.829 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 0.831 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 0.832 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.834 * [backup-simplify]: Simplify (+ 0 0) into 0 0.836 * [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 0.836 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.837 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 0.838 * [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 0.838 * [taylor]: Taking taylor expansion of 0 in im 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 0.839 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 0.839 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 0.839 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 0.839 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.839 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.839 * [taylor]: Taking taylor expansion of 1/3 in im 0.839 * [backup-simplify]: Simplify 1/3 into 1/3 0.839 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.839 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.839 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.840 * [taylor]: Taking taylor expansion of im in im 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 1 into 1 0.840 * [backup-simplify]: Simplify (* 1 1) into 1 0.840 * [backup-simplify]: Simplify (/ 1 1) into 1 0.840 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.840 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.840 * [taylor]: Taking taylor expansion of re in im 0.840 * [backup-simplify]: Simplify re into re 0.840 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.840 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.841 * [backup-simplify]: Simplify (+ 1 0) into 1 0.841 * [backup-simplify]: Simplify (log 1) into 0 0.841 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 0.841 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 0.841 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 0.841 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 0.841 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.841 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.841 * [taylor]: Taking taylor expansion of 1/3 in re 0.841 * [backup-simplify]: Simplify 1/3 into 1/3 0.841 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.841 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.841 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.841 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.841 * [taylor]: Taking taylor expansion of im in re 0.841 * [backup-simplify]: Simplify im into im 0.841 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.842 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.842 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.842 * [taylor]: Taking taylor expansion of re in re 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.842 * [backup-simplify]: Simplify (* 1 1) into 1 0.842 * [backup-simplify]: Simplify (/ 1 1) into 1 0.842 * [backup-simplify]: Simplify (+ 0 1) into 1 0.843 * [backup-simplify]: Simplify (log 1) into 0 0.843 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.843 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.843 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.843 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 0.843 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.843 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.843 * [taylor]: Taking taylor expansion of 1/3 in re 0.843 * [backup-simplify]: Simplify 1/3 into 1/3 0.843 * [taylor]: Taking taylor expansion of (log (+ (/ 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 0.844 * [backup-simplify]: Simplify (* 1 1) into 1 0.844 * [backup-simplify]: Simplify (/ 1 1) into 1 0.844 * [backup-simplify]: Simplify (+ 0 1) into 1 0.844 * [backup-simplify]: Simplify (log 1) into 0 0.845 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.845 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.845 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.845 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 0.845 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 0.845 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 0.845 * [taylor]: Taking taylor expansion of -2/3 in im 0.845 * [backup-simplify]: Simplify -2/3 into -2/3 0.845 * [taylor]: Taking taylor expansion of (log re) in im 0.845 * [taylor]: Taking taylor expansion of re in im 0.845 * [backup-simplify]: Simplify re into re 0.845 * [backup-simplify]: Simplify (log re) into (log re) 0.845 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 0.845 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.845 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 0.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (+ 0 0) into 0 0.847 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.847 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.848 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 0.848 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.848 * [taylor]: Taking taylor expansion of 0 in im 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 0.849 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 0.850 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.851 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.852 * [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)) 0.852 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.853 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 0.853 * [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)))) 0.853 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 0.853 * [taylor]: Taking taylor expansion of 1/3 in im 0.853 * [backup-simplify]: Simplify 1/3 into 1/3 0.853 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 0.853 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 0.853 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 0.853 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 0.853 * [taylor]: Taking taylor expansion of 1/3 in im 0.853 * [backup-simplify]: Simplify 1/3 into 1/3 0.853 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.853 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.853 * [taylor]: Taking taylor expansion of re in im 0.854 * [backup-simplify]: Simplify re into re 0.854 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.854 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.854 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 0.854 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 0.854 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 0.854 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.854 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.854 * [taylor]: Taking taylor expansion of im in im 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 1 into 1 0.854 * [backup-simplify]: Simplify (* 1 1) into 1 0.855 * [backup-simplify]: Simplify (/ 1 1) into 1 0.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.856 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 0.857 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 0.857 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 0.858 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.858 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 0.860 * [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 0.860 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 0.861 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.862 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.862 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 0.862 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 0.863 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 0.864 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 0.865 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.867 * [backup-simplify]: Simplify (+ 0 0) into 0 0.869 * [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 0.869 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.870 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 0.871 * [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 0.871 * [taylor]: Taking taylor expansion of 0 in im 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 0.872 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 0.872 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 0.872 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.872 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.872 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.872 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.872 * [taylor]: Taking taylor expansion of re in im 0.872 * [backup-simplify]: Simplify re into re 0.872 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.872 * [taylor]: Taking taylor expansion of im in im 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify 1 into 1 0.872 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.872 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.872 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.872 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.873 * [backup-simplify]: Simplify (+ 0 0) into 0 0.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.873 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.873 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.873 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.873 * [taylor]: Taking taylor expansion of re in re 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 1 into 1 0.873 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.873 * [taylor]: Taking taylor expansion of im in re 0.873 * [backup-simplify]: Simplify im into im 0.873 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.873 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.873 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.873 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.873 * [backup-simplify]: Simplify (+ 0 0) into 0 0.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.874 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.874 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.874 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.874 * [taylor]: Taking taylor expansion of re in re 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 1 into 1 0.874 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.874 * [taylor]: Taking taylor expansion of im in re 0.874 * [backup-simplify]: Simplify im into im 0.874 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.874 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.874 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.874 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.874 * [backup-simplify]: Simplify (+ 0 0) into 0 0.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.874 * [taylor]: Taking taylor expansion of im in im 0.874 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 1 into 1 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [taylor]: Taking taylor expansion of 0 in im 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 1 into 1 0.875 * [backup-simplify]: Simplify (* 1 1) into 1 0.875 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.875 * [backup-simplify]: Simplify (+ 1 0) into 1 0.876 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.876 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.876 * [taylor]: Taking taylor expansion of 1/2 in im 0.876 * [backup-simplify]: Simplify 1/2 into 1/2 0.876 * [taylor]: Taking taylor expansion of im in im 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify 1 into 1 0.876 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.878 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.878 * [backup-simplify]: Simplify (+ 0 0) into 0 0.878 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.878 * [taylor]: Taking taylor expansion of 0 in im 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.879 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.879 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.879 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.879 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.879 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.879 * [taylor]: Taking taylor expansion of im in im 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 1 into 1 0.880 * [backup-simplify]: Simplify (* 1 1) into 1 0.880 * [backup-simplify]: Simplify (/ 1 1) into 1 0.880 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.880 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.880 * [taylor]: Taking taylor expansion of re in im 0.880 * [backup-simplify]: Simplify re into re 0.880 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.880 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.880 * [backup-simplify]: Simplify (+ 1 0) into 1 0.881 * [backup-simplify]: Simplify (sqrt 1) into 1 0.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.882 * [backup-simplify]: Simplify (+ 0 0) into 0 0.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.882 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.882 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.882 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.882 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.882 * [taylor]: Taking taylor expansion of im in re 0.882 * [backup-simplify]: Simplify im into im 0.882 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.882 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.883 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.883 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.883 * [taylor]: Taking taylor expansion of re in re 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify 1 into 1 0.883 * [backup-simplify]: Simplify (* 1 1) into 1 0.883 * [backup-simplify]: Simplify (/ 1 1) into 1 0.883 * [backup-simplify]: Simplify (+ 0 1) into 1 0.884 * [backup-simplify]: Simplify (sqrt 1) into 1 0.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.885 * [backup-simplify]: Simplify (+ 0 0) into 0 0.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.885 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.885 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.885 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.885 * [taylor]: Taking taylor expansion of im in re 0.885 * [backup-simplify]: Simplify im into im 0.885 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.885 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.885 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.885 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.885 * [taylor]: Taking taylor expansion of re in re 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 1 into 1 0.886 * [backup-simplify]: Simplify (* 1 1) into 1 0.886 * [backup-simplify]: Simplify (/ 1 1) into 1 0.886 * [backup-simplify]: Simplify (+ 0 1) into 1 0.886 * [backup-simplify]: Simplify (sqrt 1) into 1 0.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (+ 0 0) into 0 0.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.888 * [taylor]: Taking taylor expansion of 1 in im 0.888 * [backup-simplify]: Simplify 1 into 1 0.888 * [taylor]: Taking taylor expansion of 0 in im 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 1 into 1 0.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.889 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.890 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.890 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.890 * [taylor]: Taking taylor expansion of 1/2 in im 0.890 * [backup-simplify]: Simplify 1/2 into 1/2 0.890 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.890 * [taylor]: Taking taylor expansion of im in im 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify 1 into 1 0.890 * [backup-simplify]: Simplify (* 1 1) into 1 0.890 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.893 * [backup-simplify]: Simplify (+ 0 0) into 0 0.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.893 * [taylor]: Taking taylor expansion of 0 in im 0.893 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.894 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.895 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.895 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.895 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.895 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.895 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.895 * [taylor]: Taking taylor expansion of im in im 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify 1 into 1 0.896 * [backup-simplify]: Simplify (* 1 1) into 1 0.896 * [backup-simplify]: Simplify (/ 1 1) into 1 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.896 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.896 * [taylor]: Taking taylor expansion of re in im 0.896 * [backup-simplify]: Simplify re into re 0.896 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.896 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.896 * [backup-simplify]: Simplify (+ 1 0) into 1 0.897 * [backup-simplify]: Simplify (sqrt 1) into 1 0.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.898 * [backup-simplify]: Simplify (+ 0 0) into 0 0.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.898 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.898 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.898 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.898 * [taylor]: Taking taylor expansion of im in re 0.898 * [backup-simplify]: Simplify im into im 0.898 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.898 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.898 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.898 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.898 * [taylor]: Taking taylor expansion of re in re 0.898 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify 1 into 1 0.899 * [backup-simplify]: Simplify (* 1 1) into 1 0.899 * [backup-simplify]: Simplify (/ 1 1) into 1 0.899 * [backup-simplify]: Simplify (+ 0 1) into 1 0.900 * [backup-simplify]: Simplify (sqrt 1) into 1 0.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.901 * [backup-simplify]: Simplify (+ 0 0) into 0 0.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.901 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.901 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.901 * [taylor]: Taking taylor expansion of im in re 0.901 * [backup-simplify]: Simplify im into im 0.901 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.901 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.901 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.901 * [taylor]: Taking taylor expansion of re in re 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 1 into 1 0.902 * [backup-simplify]: Simplify (* 1 1) into 1 0.902 * [backup-simplify]: Simplify (/ 1 1) into 1 0.902 * [backup-simplify]: Simplify (+ 0 1) into 1 0.902 * [backup-simplify]: Simplify (sqrt 1) into 1 0.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (+ 0 0) into 0 0.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.904 * [taylor]: Taking taylor expansion of 1 in im 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [taylor]: Taking taylor expansion of 0 in im 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.905 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.906 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.906 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.906 * [taylor]: Taking taylor expansion of 1/2 in im 0.906 * [backup-simplify]: Simplify 1/2 into 1/2 0.906 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.906 * [taylor]: Taking taylor expansion of im in im 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.906 * [backup-simplify]: Simplify (* 1 1) into 1 0.907 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.916 * [backup-simplify]: Simplify (+ 0 0) into 0 0.916 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.916 * [taylor]: Taking taylor expansion of 0 in im 0.916 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.918 * * * [progress]: simplifying candidates 0.920 * [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)) (- (* (* 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(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 (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (exp (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (cbrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))))) (cbrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (* (* (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* 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(* (* (cbrt (- (* re re) (* im im))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (* (* (cbrt (- (* re re) (* im im))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (* (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im)))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* (* re re) (* re 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(cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* re re) (* im im)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im 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(* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (- (* re re) (* im im)))) (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (- (* re re) (* im im)))) (/ (+ (+ 1/3 1/3) 1/3) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1/3) 1/3) 2) (/ (+ (* 2 1) 1) 2) (/ 1/3 2) (/ 1 2) (/ 1 2) (/ 3 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1) 1) 2) (/ 1 2) (sqrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* 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) 0.921 * [simplify]: Sending expressions to egg_math: (log (cbrt (+ (* h0 h0) (* h1 h1)))) (exp (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt 1) (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (cbrt (+ (* (* h0 h0) (* h0 h0)) (- 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(sqrt (* (* (cbrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (cbrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (* (cbrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (cbrt (- (* h0 h0) (* h1 h1))))) (sqrt (* (* (cbrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (cbrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))))) (sqrt (* (* (cbrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (cbrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (- (* h0 h0) (* h1 h1))))) (sqrt (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))))) (sqrt (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (- (* h0 h0) (* h1 h1)))) (sqrt (* (* (cbrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))))) (sqrt (* (* (cbrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (- (* h0 h0) (* h1 h1)))) (/ (+ (+ 1/3 1/3) 1/3) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1/3) 1/3) 2) (/ (+ (* 2 1) 1) 2) (/ 1/3 2) (/ 1 2) (/ 1 2) (/ 3 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1) 1) 2) (/ 1 2) (sqrt (sqrt (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))))) (sqrt (sqrt (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))))) (+ (* 1/3 (* (pow h0 2) (pow (/ 1 (pow h1 4)) 1/3))) (pow h1 2/3)) (pow (/ 1 h0) -2/3) (pow (/ -1 h0) -2/3) (+ (* 1/3 (* (pow h0 2) (pow (/ 1 (pow h1 4)) 1/3))) (pow h1 2/3)) (pow (/ 1 h0) -2/3) (pow (/ -1 h0) -2/3) (+ (* 1/3 (* (pow h0 2) (pow (/ 1 (pow h1 4)) 1/3))) (pow h1 2/3)) (pow (/ 1 h0) -2/3) (pow (/ -1 h0) -2/3) h1 h0 (* -1 h0) 0.929 * * [simplify]: iteration 0 : 287 enodes (cost 1504 ) 0.934 * * [simplify]: iteration 1 : 701 enodes (cost 1463 ) 0.959 * * [simplify]: iteration 2 : 3066 enodes (cost 1446 ) 1.135 * * [simplify]: iteration 3 : 5001 enodes (cost 1379 ) 1.141 * * * [progress]: adding candidates to table 1.434 * * [progress]: iteration 3 / 4 1.434 * * * [progress]: picking best candidate 1.444 * * * * [pick]: Picked # 1.444 * * * [progress]: localizing error 1.459 * * * [progress]: generating rewritten candidates 1.459 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1) 1.467 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.514 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 1.524 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 1.534 * * * [progress]: generating series expansions 1.534 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1) 1.534 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.534 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.534 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.534 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.534 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.534 * [taylor]: Taking taylor expansion of re in im 1.534 * [backup-simplify]: Simplify re into re 1.534 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.534 * [taylor]: Taking taylor expansion of im in im 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify 1 into 1 1.534 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.534 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.535 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.535 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.535 * [backup-simplify]: Simplify (+ 0 0) into 0 1.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.535 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.535 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.535 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.535 * [taylor]: Taking taylor expansion of re in re 1.535 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify 1 into 1 1.535 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.535 * [taylor]: Taking taylor expansion of im in re 1.536 * [backup-simplify]: Simplify im into im 1.536 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.536 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.536 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.536 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.536 * [backup-simplify]: Simplify (+ 0 0) into 0 1.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.536 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.536 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.536 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.536 * [taylor]: Taking taylor expansion of re in re 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify 1 into 1 1.536 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.536 * [taylor]: Taking taylor expansion of im in re 1.536 * [backup-simplify]: Simplify im into im 1.536 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.536 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.537 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.537 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.537 * [backup-simplify]: Simplify (+ 0 0) into 0 1.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.537 * [taylor]: Taking taylor expansion of im in im 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 1 into 1 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [taylor]: Taking taylor expansion of 0 in im 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 1 into 1 1.538 * [backup-simplify]: Simplify (* 1 1) into 1 1.538 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.538 * [backup-simplify]: Simplify (+ 1 0) into 1 1.539 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.539 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.539 * [taylor]: Taking taylor expansion of 1/2 in im 1.539 * [backup-simplify]: Simplify 1/2 into 1/2 1.539 * [taylor]: Taking taylor expansion of im in im 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 1 into 1 1.539 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.541 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.541 * [backup-simplify]: Simplify (+ 0 0) into 0 1.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.541 * [taylor]: Taking taylor expansion of 0 in im 1.541 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.542 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.542 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.542 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.542 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.542 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.542 * [taylor]: Taking taylor expansion of im in im 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 1 into 1 1.542 * [backup-simplify]: Simplify (* 1 1) into 1 1.542 * [backup-simplify]: Simplify (/ 1 1) into 1 1.542 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.542 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.543 * [taylor]: Taking taylor expansion of re in im 1.543 * [backup-simplify]: Simplify re into re 1.543 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.543 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.543 * [backup-simplify]: Simplify (+ 1 0) into 1 1.543 * [backup-simplify]: Simplify (sqrt 1) into 1 1.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.544 * [backup-simplify]: Simplify (+ 0 0) into 0 1.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.545 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.545 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.545 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.545 * [taylor]: Taking taylor expansion of im in re 1.545 * [backup-simplify]: Simplify im into im 1.545 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.545 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.545 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.545 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.545 * [taylor]: Taking taylor expansion of re in re 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 1.549 * [backup-simplify]: Simplify (/ 1 1) into 1 1.549 * [backup-simplify]: Simplify (+ 0 1) into 1 1.550 * [backup-simplify]: Simplify (sqrt 1) into 1 1.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.551 * [backup-simplify]: Simplify (+ 0 0) into 0 1.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.551 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.551 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.551 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.551 * [taylor]: Taking taylor expansion of im in re 1.551 * [backup-simplify]: Simplify im into im 1.551 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.552 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.552 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.552 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.552 * [taylor]: Taking taylor expansion of re in re 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 1 into 1 1.552 * [backup-simplify]: Simplify (* 1 1) into 1 1.552 * [backup-simplify]: Simplify (/ 1 1) into 1 1.553 * [backup-simplify]: Simplify (+ 0 1) into 1 1.553 * [backup-simplify]: Simplify (sqrt 1) into 1 1.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.554 * [backup-simplify]: Simplify (+ 0 0) into 0 1.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.554 * [taylor]: Taking taylor expansion of 1 in im 1.554 * [backup-simplify]: Simplify 1 into 1 1.554 * [taylor]: Taking taylor expansion of 0 in im 1.554 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify 1 into 1 1.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.556 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.557 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.557 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.557 * [taylor]: Taking taylor expansion of 1/2 in im 1.557 * [backup-simplify]: Simplify 1/2 into 1/2 1.557 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.557 * [taylor]: Taking taylor expansion of im in im 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 1 into 1 1.557 * [backup-simplify]: Simplify (* 1 1) into 1 1.557 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.560 * [backup-simplify]: Simplify (+ 0 0) into 0 1.560 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.560 * [taylor]: Taking taylor expansion of 0 in im 1.560 * [backup-simplify]: Simplify 0 into 0 1.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.562 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.562 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.562 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.562 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.562 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.562 * [taylor]: Taking taylor expansion of im in im 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify 1 into 1 1.562 * [backup-simplify]: Simplify (* 1 1) into 1 1.563 * [backup-simplify]: Simplify (/ 1 1) into 1 1.563 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.563 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.563 * [taylor]: Taking taylor expansion of re in im 1.563 * [backup-simplify]: Simplify re into re 1.563 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.563 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.563 * [backup-simplify]: Simplify (+ 1 0) into 1 1.564 * [backup-simplify]: Simplify (sqrt 1) into 1 1.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.565 * [backup-simplify]: Simplify (+ 0 0) into 0 1.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.565 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.565 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.565 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.565 * [taylor]: Taking taylor expansion of im in re 1.565 * [backup-simplify]: Simplify im into im 1.565 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.566 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.566 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.566 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.566 * [taylor]: Taking taylor expansion of re in re 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 1 into 1 1.566 * [backup-simplify]: Simplify (* 1 1) into 1 1.566 * [backup-simplify]: Simplify (/ 1 1) into 1 1.567 * [backup-simplify]: Simplify (+ 0 1) into 1 1.567 * [backup-simplify]: Simplify (sqrt 1) into 1 1.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.568 * [backup-simplify]: Simplify (+ 0 0) into 0 1.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.569 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.569 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.569 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.569 * [taylor]: Taking taylor expansion of im in re 1.569 * [backup-simplify]: Simplify im into im 1.569 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.569 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.569 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.569 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.569 * [taylor]: Taking taylor expansion of re in re 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify 1 into 1 1.569 * [backup-simplify]: Simplify (* 1 1) into 1 1.570 * [backup-simplify]: Simplify (/ 1 1) into 1 1.570 * [backup-simplify]: Simplify (+ 0 1) into 1 1.570 * [backup-simplify]: Simplify (sqrt 1) into 1 1.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.571 * [backup-simplify]: Simplify (+ 0 0) into 0 1.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.572 * [taylor]: Taking taylor expansion of 1 in im 1.572 * [backup-simplify]: Simplify 1 into 1 1.572 * [taylor]: Taking taylor expansion of 0 in im 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 1 into 1 1.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.573 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.574 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.574 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.574 * [taylor]: Taking taylor expansion of 1/2 in im 1.574 * [backup-simplify]: Simplify 1/2 into 1/2 1.574 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.574 * [taylor]: Taking taylor expansion of im in im 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 1 into 1 1.575 * [backup-simplify]: Simplify (* 1 1) into 1 1.575 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.578 * [backup-simplify]: Simplify (+ 0 0) into 0 1.579 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.579 * [taylor]: Taking taylor expansion of 0 in im 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.580 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.580 * [backup-simplify]: Simplify (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 1.580 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 1.580 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.580 * [taylor]: Taking taylor expansion of re in im 1.580 * [backup-simplify]: Simplify re into re 1.581 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.581 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.581 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.581 * [taylor]: Taking taylor expansion of re in im 1.581 * [backup-simplify]: Simplify re into re 1.581 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.581 * [taylor]: Taking taylor expansion of im in im 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 1 into 1 1.581 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.581 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.581 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.581 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.581 * [backup-simplify]: Simplify (+ 0 0) into 0 1.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.581 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.582 * [taylor]: Taking taylor expansion of re in re 1.582 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify 1 into 1 1.582 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.582 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.582 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.582 * [taylor]: Taking taylor expansion of re in re 1.582 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify 1 into 1 1.582 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.582 * [taylor]: Taking taylor expansion of im in re 1.582 * [backup-simplify]: Simplify im into im 1.582 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.582 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.582 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.582 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.582 * [backup-simplify]: Simplify (+ 0 0) into 0 1.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.583 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.583 * [taylor]: Taking taylor expansion of re in re 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify 1 into 1 1.583 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.583 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.583 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.583 * [taylor]: Taking taylor expansion of re in re 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify 1 into 1 1.583 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.583 * [taylor]: Taking taylor expansion of im in re 1.583 * [backup-simplify]: Simplify im into im 1.583 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.583 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.583 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.583 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.583 * [backup-simplify]: Simplify (+ 0 0) into 0 1.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.584 * [backup-simplify]: Simplify (+ 0 im) into im 1.584 * [taylor]: Taking taylor expansion of im in im 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 1 into 1 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify (+ 1 0) into 1 1.584 * [taylor]: Taking taylor expansion of 1 in im 1.584 * [backup-simplify]: Simplify 1 into 1 1.584 * [backup-simplify]: Simplify 1 into 1 1.584 * [backup-simplify]: Simplify 1 into 1 1.584 * [backup-simplify]: Simplify (* 1 1) into 1 1.585 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.585 * [backup-simplify]: Simplify (+ 1 0) into 1 1.585 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.586 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 1.586 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.586 * [taylor]: Taking taylor expansion of 1/2 in im 1.586 * [backup-simplify]: Simplify 1/2 into 1/2 1.586 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.586 * [taylor]: Taking taylor expansion of im in im 1.586 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify 1 into 1 1.586 * [backup-simplify]: Simplify (/ 1 1) into 1 1.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.587 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.588 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.589 * [backup-simplify]: Simplify (+ 0 0) into 0 1.589 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.589 * [backup-simplify]: Simplify (+ 0 0) into 0 1.589 * [taylor]: Taking taylor expansion of 0 in im 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.590 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 1.591 * [backup-simplify]: Simplify (+ (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1.591 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.591 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.591 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.591 * [taylor]: Taking taylor expansion of re in im 1.591 * [backup-simplify]: Simplify re into re 1.591 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.591 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.591 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.591 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.591 * [taylor]: Taking taylor expansion of im in im 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify 1 into 1 1.592 * [backup-simplify]: Simplify (* 1 1) into 1 1.592 * [backup-simplify]: Simplify (/ 1 1) into 1 1.592 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.592 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.592 * [taylor]: Taking taylor expansion of re in im 1.592 * [backup-simplify]: Simplify re into re 1.592 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.592 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.592 * [backup-simplify]: Simplify (+ 1 0) into 1 1.593 * [backup-simplify]: Simplify (sqrt 1) into 1 1.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.594 * [backup-simplify]: Simplify (+ 0 0) into 0 1.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.594 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.594 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.594 * [taylor]: Taking taylor expansion of re in re 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify 1 into 1 1.595 * [backup-simplify]: Simplify (/ 1 1) into 1 1.595 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.595 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.595 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.595 * [taylor]: Taking taylor expansion of im in re 1.595 * [backup-simplify]: Simplify im into im 1.595 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.595 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.595 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.595 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.595 * [taylor]: Taking taylor expansion of re in re 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 1 into 1 1.595 * [backup-simplify]: Simplify (* 1 1) into 1 1.596 * [backup-simplify]: Simplify (/ 1 1) into 1 1.596 * [backup-simplify]: Simplify (+ 0 1) into 1 1.596 * [backup-simplify]: Simplify (sqrt 1) into 1 1.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.597 * [backup-simplify]: Simplify (+ 0 0) into 0 1.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.598 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.598 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.598 * [taylor]: Taking taylor expansion of re in re 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 1 into 1 1.598 * [backup-simplify]: Simplify (/ 1 1) into 1 1.598 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.598 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.598 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.598 * [taylor]: Taking taylor expansion of im in re 1.598 * [backup-simplify]: Simplify im into im 1.598 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.599 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.599 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.599 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.599 * [taylor]: Taking taylor expansion of re in re 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify 1 into 1 1.599 * [backup-simplify]: Simplify (* 1 1) into 1 1.599 * [backup-simplify]: Simplify (/ 1 1) into 1 1.600 * [backup-simplify]: Simplify (+ 0 1) into 1 1.600 * [backup-simplify]: Simplify (sqrt 1) into 1 1.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.601 * [backup-simplify]: Simplify (+ 0 0) into 0 1.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.602 * [backup-simplify]: Simplify (+ 1 1) into 2 1.602 * [taylor]: Taking taylor expansion of 2 in im 1.602 * [backup-simplify]: Simplify 2 into 2 1.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.602 * [backup-simplify]: Simplify (+ 0 0) into 0 1.602 * [taylor]: Taking taylor expansion of 0 in im 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 2 into 2 1.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.604 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.605 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.605 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.605 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.605 * [taylor]: Taking taylor expansion of 1/2 in im 1.605 * [backup-simplify]: Simplify 1/2 into 1/2 1.605 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.605 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.605 * [taylor]: Taking taylor expansion of im in im 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify 1 into 1 1.605 * [backup-simplify]: Simplify (* 1 1) into 1 1.606 * [backup-simplify]: Simplify (/ 1 1) into 1 1.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.607 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.608 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.609 * [backup-simplify]: Simplify (+ 0 0) into 0 1.610 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.610 * [backup-simplify]: Simplify (+ 0 0) into 0 1.610 * [taylor]: Taking taylor expansion of 0 in im 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.611 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 1.612 * [backup-simplify]: Simplify (+ (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 1.612 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.612 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.612 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.612 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.612 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.612 * [taylor]: Taking taylor expansion of im in im 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 1 into 1 1.613 * [backup-simplify]: Simplify (* 1 1) into 1 1.613 * [backup-simplify]: Simplify (/ 1 1) into 1 1.613 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.613 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.613 * [taylor]: Taking taylor expansion of re in im 1.613 * [backup-simplify]: Simplify re into re 1.613 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.613 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.613 * [backup-simplify]: Simplify (+ 1 0) into 1 1.613 * [backup-simplify]: Simplify (sqrt 1) into 1 1.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.615 * [backup-simplify]: Simplify (+ 0 0) into 0 1.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.615 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.615 * [taylor]: Taking taylor expansion of re in im 1.615 * [backup-simplify]: Simplify re into re 1.615 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.615 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.615 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.615 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.615 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.615 * [taylor]: Taking taylor expansion of im in re 1.615 * [backup-simplify]: Simplify im into im 1.615 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.615 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.615 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.615 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.615 * [taylor]: Taking taylor expansion of re in re 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 1 into 1 1.616 * [backup-simplify]: Simplify (* 1 1) into 1 1.616 * [backup-simplify]: Simplify (/ 1 1) into 1 1.616 * [backup-simplify]: Simplify (+ 0 1) into 1 1.616 * [backup-simplify]: Simplify (sqrt 1) into 1 1.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.618 * [backup-simplify]: Simplify (+ 0 0) into 0 1.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.618 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.618 * [taylor]: Taking taylor expansion of re in re 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 1 into 1 1.618 * [backup-simplify]: Simplify (/ 1 1) into 1 1.618 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.618 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.618 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.618 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.618 * [taylor]: Taking taylor expansion of im in re 1.618 * [backup-simplify]: Simplify im into im 1.618 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.619 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.619 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.619 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.619 * [taylor]: Taking taylor expansion of re in re 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.619 * [backup-simplify]: Simplify (* 1 1) into 1 1.619 * [backup-simplify]: Simplify (/ 1 1) into 1 1.619 * [backup-simplify]: Simplify (+ 0 1) into 1 1.620 * [backup-simplify]: Simplify (sqrt 1) into 1 1.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.621 * [backup-simplify]: Simplify (+ 0 0) into 0 1.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.621 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.621 * [taylor]: Taking taylor expansion of re in re 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 1 into 1 1.621 * [backup-simplify]: Simplify (/ 1 1) into 1 1.622 * [backup-simplify]: Simplify (- 1) into -1 1.622 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.622 * [taylor]: Taking taylor expansion of 0 in im 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.623 * [backup-simplify]: Simplify (- 0) into 0 1.623 * [backup-simplify]: Simplify (+ 0 0) into 0 1.623 * [taylor]: Taking taylor expansion of 0 in im 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.624 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.625 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.626 * [backup-simplify]: Simplify (- 0) into 0 1.626 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.626 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.626 * [taylor]: Taking taylor expansion of 1/2 in im 1.626 * [backup-simplify]: Simplify 1/2 into 1/2 1.626 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.626 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.626 * [taylor]: Taking taylor expansion of im in im 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 1 into 1 1.626 * [backup-simplify]: Simplify (* 1 1) into 1 1.627 * [backup-simplify]: Simplify (/ 1 1) into 1 1.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.628 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.630 * [backup-simplify]: Simplify (+ 0 0) into 0 1.630 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.631 * [backup-simplify]: Simplify (- 0) into 0 1.631 * [backup-simplify]: Simplify (+ 0 0) into 0 1.631 * [taylor]: Taking taylor expansion of 0 in im 1.631 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.633 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 1.633 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 1.633 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.633 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.633 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.633 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.633 * [taylor]: Taking taylor expansion of re in im 1.633 * [backup-simplify]: Simplify re into re 1.633 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.633 * [taylor]: Taking taylor expansion of im in im 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.633 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.633 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.633 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.634 * [backup-simplify]: Simplify (+ 0 0) into 0 1.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.634 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.634 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.634 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.634 * [taylor]: Taking taylor expansion of re in re 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify 1 into 1 1.634 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.634 * [taylor]: Taking taylor expansion of im in re 1.634 * [backup-simplify]: Simplify im into im 1.634 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.634 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.634 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.634 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.635 * [backup-simplify]: Simplify (+ 0 0) into 0 1.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.635 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.635 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.635 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.635 * [taylor]: Taking taylor expansion of re in re 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 1 into 1 1.635 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.635 * [taylor]: Taking taylor expansion of im in re 1.635 * [backup-simplify]: Simplify im into im 1.635 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.635 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.635 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.635 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.635 * [backup-simplify]: Simplify (+ 0 0) into 0 1.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.636 * [taylor]: Taking taylor expansion of im in im 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify 1 into 1 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [taylor]: Taking taylor expansion of 0 in im 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify 1 into 1 1.636 * [backup-simplify]: Simplify (* 1 1) into 1 1.636 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.636 * [backup-simplify]: Simplify (+ 1 0) into 1 1.637 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.637 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.637 * [taylor]: Taking taylor expansion of 1/2 in im 1.637 * [backup-simplify]: Simplify 1/2 into 1/2 1.637 * [taylor]: Taking taylor expansion of im in im 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 1 into 1 1.637 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.639 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.639 * [backup-simplify]: Simplify (+ 0 0) into 0 1.639 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.639 * [taylor]: Taking taylor expansion of 0 in im 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.640 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.640 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.640 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.640 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.640 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.640 * [taylor]: Taking taylor expansion of im in im 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 1 into 1 1.641 * [backup-simplify]: Simplify (* 1 1) into 1 1.641 * [backup-simplify]: Simplify (/ 1 1) into 1 1.641 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.641 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.641 * [taylor]: Taking taylor expansion of re in im 1.641 * [backup-simplify]: Simplify re into re 1.641 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.641 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.642 * [backup-simplify]: Simplify (+ 1 0) into 1 1.642 * [backup-simplify]: Simplify (sqrt 1) into 1 1.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.643 * [backup-simplify]: Simplify (+ 0 0) into 0 1.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.643 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.643 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.643 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.643 * [taylor]: Taking taylor expansion of im in re 1.643 * [backup-simplify]: Simplify im into im 1.643 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.644 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.644 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.644 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.644 * [taylor]: Taking taylor expansion of re in re 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 1 into 1 1.644 * [backup-simplify]: Simplify (* 1 1) into 1 1.644 * [backup-simplify]: Simplify (/ 1 1) into 1 1.644 * [backup-simplify]: Simplify (+ 0 1) into 1 1.645 * [backup-simplify]: Simplify (sqrt 1) into 1 1.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.646 * [backup-simplify]: Simplify (+ 0 0) into 0 1.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.646 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.646 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.646 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.646 * [taylor]: Taking taylor expansion of im in re 1.646 * [backup-simplify]: Simplify im into im 1.646 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.646 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.646 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.646 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.646 * [taylor]: Taking taylor expansion of re in re 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.647 * [backup-simplify]: Simplify (* 1 1) into 1 1.647 * [backup-simplify]: Simplify (/ 1 1) into 1 1.647 * [backup-simplify]: Simplify (+ 0 1) into 1 1.648 * [backup-simplify]: Simplify (sqrt 1) into 1 1.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.649 * [backup-simplify]: Simplify (+ 0 0) into 0 1.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.649 * [taylor]: Taking taylor expansion of 1 in im 1.649 * [backup-simplify]: Simplify 1 into 1 1.649 * [taylor]: Taking taylor expansion of 0 in im 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 1 into 1 1.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.651 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.651 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.651 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.651 * [taylor]: Taking taylor expansion of 1/2 in im 1.651 * [backup-simplify]: Simplify 1/2 into 1/2 1.652 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.652 * [taylor]: Taking taylor expansion of im in im 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify 1 into 1 1.652 * [backup-simplify]: Simplify (* 1 1) into 1 1.652 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.655 * [backup-simplify]: Simplify (+ 0 0) into 0 1.661 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.661 * [taylor]: Taking taylor expansion of 0 in im 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.662 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.662 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.662 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.662 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.662 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.662 * [taylor]: Taking taylor expansion of im in im 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.663 * [backup-simplify]: Simplify (* 1 1) into 1 1.663 * [backup-simplify]: Simplify (/ 1 1) into 1 1.663 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.663 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.663 * [taylor]: Taking taylor expansion of re in im 1.663 * [backup-simplify]: Simplify re into re 1.663 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.663 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.664 * [backup-simplify]: Simplify (+ 1 0) into 1 1.664 * [backup-simplify]: Simplify (sqrt 1) into 1 1.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.665 * [backup-simplify]: Simplify (+ 0 0) into 0 1.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.665 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.665 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.665 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.665 * [taylor]: Taking taylor expansion of im in re 1.665 * [backup-simplify]: Simplify im into im 1.665 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.666 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.666 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.666 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.666 * [taylor]: Taking taylor expansion of re in re 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 1 into 1 1.666 * [backup-simplify]: Simplify (* 1 1) into 1 1.666 * [backup-simplify]: Simplify (/ 1 1) into 1 1.666 * [backup-simplify]: Simplify (+ 0 1) into 1 1.667 * [backup-simplify]: Simplify (sqrt 1) into 1 1.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.668 * [backup-simplify]: Simplify (+ 0 0) into 0 1.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.668 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.668 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.668 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.668 * [taylor]: Taking taylor expansion of im in re 1.668 * [backup-simplify]: Simplify im into im 1.668 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.668 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.668 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.668 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.668 * [taylor]: Taking taylor expansion of re in re 1.668 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify 1 into 1 1.669 * [backup-simplify]: Simplify (* 1 1) into 1 1.669 * [backup-simplify]: Simplify (/ 1 1) into 1 1.669 * [backup-simplify]: Simplify (+ 0 1) into 1 1.669 * [backup-simplify]: Simplify (sqrt 1) into 1 1.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.670 * [backup-simplify]: Simplify (+ 0 0) into 0 1.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.671 * [taylor]: Taking taylor expansion of 1 in im 1.671 * [backup-simplify]: Simplify 1 into 1 1.671 * [taylor]: Taking taylor expansion of 0 in im 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 1 into 1 1.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.672 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.673 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.673 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.673 * [taylor]: Taking taylor expansion of 1/2 in im 1.673 * [backup-simplify]: Simplify 1/2 into 1/2 1.673 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.673 * [taylor]: Taking taylor expansion of im in im 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 1 into 1 1.673 * [backup-simplify]: Simplify (* 1 1) into 1 1.674 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.676 * [backup-simplify]: Simplify (+ 0 0) into 0 1.677 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.677 * [taylor]: Taking taylor expansion of 0 in im 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.678 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1) 1.678 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 1.678 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 1.678 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.678 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.678 * [taylor]: Taking taylor expansion of re in im 1.678 * [backup-simplify]: Simplify re into re 1.678 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.678 * [taylor]: Taking taylor expansion of im in im 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 1 into 1 1.679 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.679 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.679 * [taylor]: Taking taylor expansion of re in re 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 1 into 1 1.679 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.679 * [taylor]: Taking taylor expansion of im in re 1.679 * [backup-simplify]: Simplify im into im 1.679 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.679 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.679 * [taylor]: Taking taylor expansion of re in re 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 1 into 1 1.679 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.679 * [taylor]: Taking taylor expansion of im in re 1.679 * [backup-simplify]: Simplify im into im 1.679 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.679 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.679 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.679 * [taylor]: Taking taylor expansion of im in im 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 1 into 1 1.679 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.680 * [backup-simplify]: Simplify (+ 0 0) into 0 1.680 * [taylor]: Taking taylor expansion of 0 in im 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify (* 1 1) into 1 1.680 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.680 * [backup-simplify]: Simplify (+ 1 0) into 1 1.680 * [taylor]: Taking taylor expansion of 1 in im 1.680 * [backup-simplify]: Simplify 1 into 1 1.680 * [backup-simplify]: Simplify 1 into 1 1.680 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify (* 1 1) into 1 1.681 * [backup-simplify]: Simplify 1 into 1 1.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.682 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.682 * [backup-simplify]: Simplify (+ 0 0) into 0 1.682 * [taylor]: Taking taylor expansion of 0 in im 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.684 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 1.684 * [backup-simplify]: Simplify (+ 0 0) into 0 1.684 * [taylor]: Taking taylor expansion of 0 in im 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 1.684 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1.685 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 1.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.685 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.685 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.685 * [taylor]: Taking taylor expansion of im in im 1.685 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify 1 into 1 1.685 * [backup-simplify]: Simplify (* 1 1) into 1 1.685 * [backup-simplify]: Simplify (/ 1 1) into 1 1.685 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.685 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.685 * [taylor]: Taking taylor expansion of re in im 1.685 * [backup-simplify]: Simplify re into re 1.685 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.685 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.685 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.685 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.685 * [taylor]: Taking taylor expansion of im in re 1.685 * [backup-simplify]: Simplify im into im 1.686 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.686 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.686 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.686 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.686 * [taylor]: Taking taylor expansion of re in re 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 1 into 1 1.686 * [backup-simplify]: Simplify (* 1 1) into 1 1.686 * [backup-simplify]: Simplify (/ 1 1) into 1 1.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.686 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.686 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.686 * [taylor]: Taking taylor expansion of im in re 1.686 * [backup-simplify]: Simplify im into im 1.686 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.686 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.686 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.687 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.687 * [taylor]: Taking taylor expansion of re in re 1.687 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify 1 into 1 1.687 * [backup-simplify]: Simplify (* 1 1) into 1 1.687 * [backup-simplify]: Simplify (/ 1 1) into 1 1.687 * [backup-simplify]: Simplify (+ 0 1) into 1 1.687 * [taylor]: Taking taylor expansion of 1 in im 1.687 * [backup-simplify]: Simplify 1 into 1 1.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.688 * [backup-simplify]: Simplify (+ 0 0) into 0 1.688 * [taylor]: Taking taylor expansion of 0 in im 1.688 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.690 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.690 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.690 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.690 * [taylor]: Taking taylor expansion of im in im 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 1 into 1 1.690 * [backup-simplify]: Simplify (* 1 1) into 1 1.690 * [backup-simplify]: Simplify (/ 1 1) into 1 1.690 * [backup-simplify]: Simplify 1 into 1 1.690 * [backup-simplify]: Simplify 1 into 1 1.690 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.692 * [backup-simplify]: Simplify (+ 0 0) into 0 1.692 * [taylor]: Taking taylor expansion of 0 in im 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 1.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.695 * [backup-simplify]: Simplify (+ 0 0) into 0 1.695 * [taylor]: Taking taylor expansion of 0 in im 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 1.697 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1.697 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 1.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.697 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.697 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.697 * [taylor]: Taking taylor expansion of im in im 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify 1 into 1 1.697 * [backup-simplify]: Simplify (* 1 1) into 1 1.697 * [backup-simplify]: Simplify (/ 1 1) into 1 1.697 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.697 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.697 * [taylor]: Taking taylor expansion of re in im 1.697 * [backup-simplify]: Simplify re into re 1.697 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.698 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.698 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.698 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.698 * [taylor]: Taking taylor expansion of im in re 1.698 * [backup-simplify]: Simplify im into im 1.698 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.698 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.698 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.698 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.698 * [taylor]: Taking taylor expansion of re in re 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.698 * [backup-simplify]: Simplify (* 1 1) into 1 1.699 * [backup-simplify]: Simplify (/ 1 1) into 1 1.699 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.699 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.699 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.699 * [taylor]: Taking taylor expansion of im in re 1.699 * [backup-simplify]: Simplify im into im 1.699 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.699 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.699 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.699 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.699 * [taylor]: Taking taylor expansion of re in re 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 1 into 1 1.699 * [backup-simplify]: Simplify (* 1 1) into 1 1.700 * [backup-simplify]: Simplify (/ 1 1) into 1 1.700 * [backup-simplify]: Simplify (+ 0 1) into 1 1.700 * [taylor]: Taking taylor expansion of 1 in im 1.700 * [backup-simplify]: Simplify 1 into 1 1.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.701 * [backup-simplify]: Simplify (+ 0 0) into 0 1.701 * [taylor]: Taking taylor expansion of 0 in im 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.702 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.702 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.702 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.702 * [taylor]: Taking taylor expansion of im in im 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify 1 into 1 1.703 * [backup-simplify]: Simplify (* 1 1) into 1 1.703 * [backup-simplify]: Simplify (/ 1 1) into 1 1.703 * [backup-simplify]: Simplify 1 into 1 1.703 * [backup-simplify]: Simplify 1 into 1 1.703 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.705 * [backup-simplify]: Simplify (+ 0 0) into 0 1.705 * [taylor]: Taking taylor expansion of 0 in im 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 1.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.708 * [backup-simplify]: Simplify (+ 0 0) into 0 1.708 * [taylor]: Taking taylor expansion of 0 in im 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 1.709 * * * [progress]: simplifying candidates 1.710 * [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 (exp (log (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (exp (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (* (* (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (+ (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re))) (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re)) (- (exp (log (sqrt (+ (* re re) (* im im))))) re) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (exp (log (sqrt (cbrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log 1)) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (exp (log (sqrt (- (* re re) (* im im))))) (log (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (exp (log (sqrt (+ (* re re) (* im im)))))) (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 1.711 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (exp (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp h0)) (log (+ (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (exp (+ (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (* (cbrt (+ (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (cbrt (+ (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0))) (cbrt (+ (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (* (* (+ (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0) (+ (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (+ (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (sqrt (+ (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (sqrt (+ (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (+ (pow (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) 3) (pow h0 3)) (+ (* (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (- (* h0 h0) (* (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0))) (- (* (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (* h0 h0)) (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0) (+ (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (log (sqrt (+ (* h0 h0) (* h1 h1))))))) (exp (sqrt (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))) (exp (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))))) (exp (log (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log 1)) (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))))) (exp (log (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))))) (exp (log (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))))) (exp (log (sqrt (- (* h0 h0) (* h1 h1))))) (log (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (* (cbrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (cbrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))))) (cbrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (* (* (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (* (exp (* h0 h0)) (exp (* h1 h1))) (log (+ (* h0 h0) (* h1 h1))) (exp (+ (* h0 h0) (* h1 h1))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (* h0 h0) (* h1 h1)) h1 h0 (* -1 h0) (+ h0 h1) (* 2 h0) 0 h1 h0 (* -1 h0) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) 1.715 * * [simplify]: iteration 0 : 225 enodes (cost 472 ) 1.720 * * [simplify]: iteration 1 : 761 enodes (cost 420 ) 1.733 * * [simplify]: iteration 2 : 2155 enodes (cost 403 ) 1.786 * * [simplify]: iteration 3 : 5002 enodes (cost 394 ) 1.788 * * * [progress]: adding candidates to table 1.984 * * [progress]: iteration 4 / 4 1.984 * * * [progress]: picking best candidate 1.999 * * * * [pick]: Picked # 2.000 * * * [progress]: localizing error 2.020 * * * [progress]: generating rewritten candidates 2.020 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2) 2.027 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 2.072 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 2.082 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1) 2.094 * * * [progress]: generating series expansions 2.094 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2) 2.094 * [backup-simplify]: Simplify (log (+ (* re re) (* im im))) into (log (+ (pow re 2) (pow im 2))) 2.094 * [approximate]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in (re im) around 0 2.094 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 2.094 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.094 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.094 * [taylor]: Taking taylor expansion of re in im 2.094 * [backup-simplify]: Simplify re into re 2.094 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.094 * [taylor]: Taking taylor expansion of im in im 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 1 into 1 2.094 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.094 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.094 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 2.094 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 2.094 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.094 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.094 * [taylor]: Taking taylor expansion of re in re 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 1 into 1 2.094 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.094 * [taylor]: Taking taylor expansion of im in re 2.094 * [backup-simplify]: Simplify im into im 2.094 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.095 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.095 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 2.095 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 2.095 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.095 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.095 * [taylor]: Taking taylor expansion of re in re 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 1 into 1 2.095 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.095 * [taylor]: Taking taylor expansion of im in re 2.095 * [backup-simplify]: Simplify im into im 2.095 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.095 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.095 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 2.095 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 2.095 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.095 * [taylor]: Taking taylor expansion of im in im 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 1 into 1 2.096 * [backup-simplify]: Simplify (* 1 1) into 1 2.096 * [backup-simplify]: Simplify (log 1) into 0 2.096 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.096 * [backup-simplify]: Simplify (* 2 (log im)) into (* 2 (log im)) 2.096 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.097 * [backup-simplify]: Simplify (+ 0 0) into 0 2.097 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 2.097 * [taylor]: Taking taylor expansion of 0 in im 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.099 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.099 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify (* 1 1) into 1 2.099 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.100 * [backup-simplify]: Simplify (+ 1 0) into 1 2.101 * [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)) 2.101 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.101 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.101 * [taylor]: Taking taylor expansion of im in im 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify 1 into 1 2.101 * [backup-simplify]: Simplify (* 1 1) into 1 2.101 * [backup-simplify]: Simplify (/ 1 1) into 1 2.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.105 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.106 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.106 * [backup-simplify]: Simplify (+ 0 0) into 0 2.108 * [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 2.108 * [taylor]: Taking taylor expansion of 0 in im 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify (* 2 (log im)) into (* 2 (log im)) 2.108 * [backup-simplify]: Simplify (log (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.108 * [approximate]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.108 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.108 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.108 * [taylor]: Taking taylor expansion of im in im 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.109 * [backup-simplify]: Simplify (* 1 1) into 1 2.109 * [backup-simplify]: Simplify (/ 1 1) into 1 2.109 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.109 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.109 * [taylor]: Taking taylor expansion of re in im 2.109 * [backup-simplify]: Simplify re into re 2.109 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.109 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.109 * [backup-simplify]: Simplify (+ 1 0) into 1 2.110 * [backup-simplify]: Simplify (log 1) into 0 2.110 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.110 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.110 * [taylor]: Taking taylor expansion of im in re 2.110 * [backup-simplify]: Simplify im into im 2.110 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.110 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.110 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.110 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.110 * [taylor]: Taking taylor expansion of re in re 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 1 into 1 2.110 * [backup-simplify]: Simplify (* 1 1) into 1 2.110 * [backup-simplify]: Simplify (/ 1 1) into 1 2.111 * [backup-simplify]: Simplify (+ 0 1) into 1 2.111 * [backup-simplify]: Simplify (log 1) into 0 2.111 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.111 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.111 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.111 * [taylor]: Taking taylor expansion of im in re 2.111 * [backup-simplify]: Simplify im into im 2.111 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.111 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.111 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.111 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.111 * [taylor]: Taking taylor expansion of re in re 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 1 into 1 2.112 * [backup-simplify]: Simplify (* 1 1) into 1 2.112 * [backup-simplify]: Simplify (/ 1 1) into 1 2.112 * [backup-simplify]: Simplify (+ 0 1) into 1 2.112 * [backup-simplify]: Simplify (log 1) into 0 2.113 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.113 * [taylor]: Taking taylor expansion of (- (* 2 (log re))) in im 2.113 * [taylor]: Taking taylor expansion of (* 2 (log re)) in im 2.113 * [taylor]: Taking taylor expansion of 2 in im 2.113 * [backup-simplify]: Simplify 2 into 2 2.113 * [taylor]: Taking taylor expansion of (log re) in im 2.113 * [taylor]: Taking taylor expansion of re in im 2.113 * [backup-simplify]: Simplify re into re 2.113 * [backup-simplify]: Simplify (log re) into (log re) 2.113 * [backup-simplify]: Simplify (* 2 (log re)) into (* 2 (log re)) 2.113 * [backup-simplify]: Simplify (- (* 2 (log re))) into (- (* 2 (log re))) 2.113 * [backup-simplify]: Simplify (- (* 2 (log re))) into (- (* 2 (log re))) 2.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.114 * [backup-simplify]: Simplify (+ 0 0) into 0 2.115 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.115 * [taylor]: Taking taylor expansion of 0 in im 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 2.116 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log re))) into 0 2.116 * [backup-simplify]: Simplify (- 0) into 0 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.117 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.118 * [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)) 2.118 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.118 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.118 * [taylor]: Taking taylor expansion of im in im 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 1 into 1 2.118 * [backup-simplify]: Simplify (* 1 1) into 1 2.119 * [backup-simplify]: Simplify (/ 1 1) into 1 2.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 2.122 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log re)))) into 0 2.122 * [backup-simplify]: Simplify (- 0) into 0 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.124 * [backup-simplify]: Simplify (+ 0 0) into 0 2.126 * [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 2.126 * [taylor]: Taking taylor expansion of 0 in im 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify (- (* 2 (log (/ 1 re)))) into (- (* 2 (log (/ 1 re)))) 2.126 * [backup-simplify]: Simplify (log (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.126 * [approximate]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.126 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.126 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.126 * [taylor]: Taking taylor expansion of im in im 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 1 into 1 2.127 * [backup-simplify]: Simplify (* 1 1) into 1 2.127 * [backup-simplify]: Simplify (/ 1 1) into 1 2.127 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.127 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.127 * [taylor]: Taking taylor expansion of re in im 2.127 * [backup-simplify]: Simplify re into re 2.127 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.127 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.127 * [backup-simplify]: Simplify (+ 1 0) into 1 2.128 * [backup-simplify]: Simplify (log 1) into 0 2.128 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.128 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.128 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.128 * [taylor]: Taking taylor expansion of im in re 2.128 * [backup-simplify]: Simplify im into im 2.128 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.128 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.128 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.128 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.128 * [taylor]: Taking taylor expansion of re in re 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify 1 into 1 2.128 * [backup-simplify]: Simplify (* 1 1) into 1 2.128 * [backup-simplify]: Simplify (/ 1 1) into 1 2.129 * [backup-simplify]: Simplify (+ 0 1) into 1 2.129 * [backup-simplify]: Simplify (log 1) into 0 2.129 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.129 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.129 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.129 * [taylor]: Taking taylor expansion of im in re 2.129 * [backup-simplify]: Simplify im into im 2.129 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.129 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.129 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.129 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.129 * [taylor]: Taking taylor expansion of re in re 2.129 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify 1 into 1 2.130 * [backup-simplify]: Simplify (* 1 1) into 1 2.130 * [backup-simplify]: Simplify (/ 1 1) into 1 2.130 * [backup-simplify]: Simplify (+ 0 1) into 1 2.130 * [backup-simplify]: Simplify (log 1) into 0 2.131 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.131 * [taylor]: Taking taylor expansion of (- (* 2 (log re))) in im 2.131 * [taylor]: Taking taylor expansion of (* 2 (log re)) in im 2.131 * [taylor]: Taking taylor expansion of 2 in im 2.131 * [backup-simplify]: Simplify 2 into 2 2.131 * [taylor]: Taking taylor expansion of (log re) in im 2.131 * [taylor]: Taking taylor expansion of re in im 2.131 * [backup-simplify]: Simplify re into re 2.131 * [backup-simplify]: Simplify (log re) into (log re) 2.131 * [backup-simplify]: Simplify (* 2 (log re)) into (* 2 (log re)) 2.131 * [backup-simplify]: Simplify (- (* 2 (log re))) into (- (* 2 (log re))) 2.131 * [backup-simplify]: Simplify (- (* 2 (log re))) into (- (* 2 (log re))) 2.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.132 * [backup-simplify]: Simplify (+ 0 0) into 0 2.133 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.133 * [taylor]: Taking taylor expansion of 0 in im 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 2.134 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log re))) into 0 2.134 * [backup-simplify]: Simplify (- 0) into 0 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.135 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.136 * [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)) 2.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.136 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.136 * [taylor]: Taking taylor expansion of im in im 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.137 * [backup-simplify]: Simplify (* 1 1) into 1 2.137 * [backup-simplify]: Simplify (/ 1 1) into 1 2.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 2.140 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log re)))) into 0 2.140 * [backup-simplify]: Simplify (- 0) into 0 2.140 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.142 * [backup-simplify]: Simplify (+ 0 0) into 0 2.144 * [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 2.144 * [taylor]: Taking taylor expansion of 0 in im 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify (- (* 2 (log (/ 1 (- re))))) into (- (* 2 (log (/ -1 re)))) 2.144 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 2.145 * [backup-simplify]: Simplify (+ (pow (exp 1/2) (log (+ (* re re) (* im im)))) re) into (+ (pow (exp 1/2) (log (+ (pow re 2) (pow im 2)))) re) 2.145 * [approximate]: Taking taylor expansion of (+ (pow (exp 1/2) (log (+ (pow re 2) (pow im 2)))) re) in (re im) around 0 2.145 * [taylor]: Taking taylor expansion of (+ (pow (exp 1/2) (log (+ (pow re 2) (pow im 2)))) re) in im 2.145 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (pow re 2) (pow im 2)))) in im 2.145 * [taylor]: Taking taylor expansion of (exp (* (log (+ (pow re 2) (pow im 2))) (log (exp 1/2)))) in im 2.145 * [taylor]: Taking taylor expansion of (* (log (+ (pow re 2) (pow im 2))) (log (exp 1/2))) in im 2.145 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 2.145 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.145 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.145 * [taylor]: Taking taylor expansion of re in im 2.145 * [backup-simplify]: Simplify re into re 2.145 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.145 * [taylor]: Taking taylor expansion of im in im 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 1 into 1 2.145 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.145 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.145 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 2.145 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in im 2.145 * [taylor]: Taking taylor expansion of (exp 1/2) in im 2.145 * [taylor]: Taking taylor expansion of 1/2 in im 2.145 * [backup-simplify]: Simplify 1/2 into 1/2 2.145 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.146 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.146 * [backup-simplify]: Simplify (* (log (pow re 2)) 1/2) into (* 1/2 (log (pow re 2))) 2.146 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow re 2)))) into (pow (pow re 2) 1/2) 2.146 * [taylor]: Taking taylor expansion of re in im 2.146 * [backup-simplify]: Simplify re into re 2.146 * [taylor]: Taking taylor expansion of (+ (pow (exp 1/2) (log (+ (pow re 2) (pow im 2)))) re) in re 2.146 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (pow re 2) (pow im 2)))) in re 2.146 * [taylor]: Taking taylor expansion of (exp (* (log (+ (pow re 2) (pow im 2))) (log (exp 1/2)))) in re 2.146 * [taylor]: Taking taylor expansion of (* (log (+ (pow re 2) (pow im 2))) (log (exp 1/2))) in re 2.146 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 2.146 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.146 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.146 * [taylor]: Taking taylor expansion of re in re 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 1 into 1 2.146 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.146 * [taylor]: Taking taylor expansion of im in re 2.146 * [backup-simplify]: Simplify im into im 2.147 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.147 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.147 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 2.147 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in re 2.147 * [taylor]: Taking taylor expansion of (exp 1/2) in re 2.147 * [taylor]: Taking taylor expansion of 1/2 in re 2.147 * [backup-simplify]: Simplify 1/2 into 1/2 2.147 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.148 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.148 * [backup-simplify]: Simplify (* (log (pow im 2)) 1/2) into (* 1/2 (log (pow im 2))) 2.148 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow im 2)))) into (pow (pow im 2) 1/2) 2.148 * [taylor]: Taking taylor expansion of re in re 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify 1 into 1 2.148 * [taylor]: Taking taylor expansion of (+ (pow (exp 1/2) (log (+ (pow re 2) (pow im 2)))) re) in re 2.148 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (pow re 2) (pow im 2)))) in re 2.148 * [taylor]: Taking taylor expansion of (exp (* (log (+ (pow re 2) (pow im 2))) (log (exp 1/2)))) in re 2.148 * [taylor]: Taking taylor expansion of (* (log (+ (pow re 2) (pow im 2))) (log (exp 1/2))) in re 2.148 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 2.148 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.148 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.148 * [taylor]: Taking taylor expansion of re in re 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify 1 into 1 2.148 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.148 * [taylor]: Taking taylor expansion of im in re 2.148 * [backup-simplify]: Simplify im into im 2.148 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.148 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.148 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 2.148 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in re 2.148 * [taylor]: Taking taylor expansion of (exp 1/2) in re 2.148 * [taylor]: Taking taylor expansion of 1/2 in re 2.148 * [backup-simplify]: Simplify 1/2 into 1/2 2.149 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.149 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.149 * [backup-simplify]: Simplify (* (log (pow im 2)) 1/2) into (* 1/2 (log (pow im 2))) 2.149 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow im 2)))) into (pow (pow im 2) 1/2) 2.149 * [taylor]: Taking taylor expansion of re in re 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 1 into 1 2.150 * [backup-simplify]: Simplify (+ (pow (pow im 2) 1/2) 0) into (pow (pow im 2) 1/2) 2.150 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/2) in im 2.150 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (pow im 2)))) in im 2.150 * [taylor]: Taking taylor expansion of (* 1/2 (log (pow im 2))) in im 2.150 * [taylor]: Taking taylor expansion of 1/2 in im 2.150 * [backup-simplify]: Simplify 1/2 into 1/2 2.150 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 2.150 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.150 * [taylor]: Taking taylor expansion of im in im 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 1 into 1 2.150 * [backup-simplify]: Simplify (* 1 1) into 1 2.150 * [backup-simplify]: Simplify (log 1) into 0 2.151 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.151 * [backup-simplify]: Simplify (* 1/2 (* 2 (log im))) into (log im) 2.151 * [backup-simplify]: Simplify (exp (log im)) into im 2.151 * [backup-simplify]: Simplify im into im 2.151 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 1) 1)))) into 0 2.152 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp 1/2) 1)))) 1) into 0 2.152 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.153 * [backup-simplify]: Simplify (+ 0 0) into 0 2.153 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 2.153 * [backup-simplify]: Simplify (+ (* (log (pow im 2)) 0) (* 0 1/2)) into 0 2.154 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.154 * [backup-simplify]: Simplify (+ 0 1) into 1 2.154 * [taylor]: Taking taylor expansion of 1 in im 2.154 * [backup-simplify]: Simplify 1 into 1 2.154 * [backup-simplify]: Simplify 1 into 1 2.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.156 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.156 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* 2 (log im)))) into 0 2.157 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 1) 1)))) into 0 2.157 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.159 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp 1/2) 1)))) 2) into 0 2.159 * [backup-simplify]: Simplify (* 1 1) into 1 2.160 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.160 * [backup-simplify]: Simplify (+ 1 0) into 1 2.161 * [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)) 2.162 * [backup-simplify]: Simplify (+ (* (log (pow im 2)) 0) (+ (* 0 0) (* (/ 1 (pow im 2)) 1/2))) into (* 1/2 (/ 1 (pow im 2))) 2.162 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 im) 2.162 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 2.162 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.162 * [taylor]: Taking taylor expansion of 1/2 in im 2.162 * [backup-simplify]: Simplify 1/2 into 1/2 2.162 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.162 * [taylor]: Taking taylor expansion of im in im 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify 1 into 1 2.163 * [backup-simplify]: Simplify (/ 1 1) into 1 2.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.164 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.166 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.166 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 2.167 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.167 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.171 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp 1/2) 1)))) 6) into 0 2.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.172 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.173 * [backup-simplify]: Simplify (+ 0 0) into 0 2.174 * [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 2.175 * [backup-simplify]: Simplify (+ (* (log (pow im 2)) 0) (+ (* 0 0) (+ (* (/ 1 (pow im 2)) 0) (* 0 1/2)))) into 0 2.176 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.177 * [backup-simplify]: Simplify (+ 0 0) into 0 2.177 * [taylor]: Taking taylor expansion of 0 in im 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.178 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify (+ (* 1 (* 1 re)) im) into (+ re im) 2.178 * [backup-simplify]: Simplify (+ (pow (exp 1/2) (log (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (/ 1 re)) into (+ (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (/ 1 re)) 2.178 * [approximate]: Taking taylor expansion of (+ (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (/ 1 re)) in (re im) around 0 2.178 * [taylor]: Taking taylor expansion of (+ (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (/ 1 re)) in im 2.178 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.178 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2)))) in im 2.178 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2))) in im 2.178 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.179 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.179 * [taylor]: Taking taylor expansion of im in im 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 1 into 1 2.179 * [backup-simplify]: Simplify (* 1 1) into 1 2.179 * [backup-simplify]: Simplify (/ 1 1) into 1 2.179 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.179 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.179 * [taylor]: Taking taylor expansion of re in im 2.179 * [backup-simplify]: Simplify re into re 2.179 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.179 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.179 * [backup-simplify]: Simplify (+ 1 0) into 1 2.180 * [backup-simplify]: Simplify (log 1) into 0 2.180 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in im 2.180 * [taylor]: Taking taylor expansion of (exp 1/2) in im 2.180 * [taylor]: Taking taylor expansion of 1/2 in im 2.180 * [backup-simplify]: Simplify 1/2 into 1/2 2.180 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.181 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.181 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 2.181 * [backup-simplify]: Simplify (* (- (* 2 (log im))) 1/2) into (* -1 (log im)) 2.181 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1) 2.181 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.181 * [taylor]: Taking taylor expansion of re in im 2.181 * [backup-simplify]: Simplify re into re 2.181 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.181 * [taylor]: Taking taylor expansion of (+ (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (/ 1 re)) in re 2.181 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.181 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2)))) in re 2.181 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2))) in re 2.181 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.181 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.181 * [taylor]: Taking taylor expansion of im in re 2.181 * [backup-simplify]: Simplify im into im 2.181 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.181 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.181 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.181 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.181 * [taylor]: Taking taylor expansion of re in re 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify 1 into 1 2.182 * [backup-simplify]: Simplify (* 1 1) into 1 2.182 * [backup-simplify]: Simplify (/ 1 1) into 1 2.182 * [backup-simplify]: Simplify (+ 0 1) into 1 2.182 * [backup-simplify]: Simplify (log 1) into 0 2.182 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in re 2.182 * [taylor]: Taking taylor expansion of (exp 1/2) in re 2.183 * [taylor]: Taking taylor expansion of 1/2 in re 2.183 * [backup-simplify]: Simplify 1/2 into 1/2 2.183 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.183 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.184 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.184 * [backup-simplify]: Simplify (* (- (* 2 (log re))) 1/2) into (* -1 (log re)) 2.184 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 2.184 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.184 * [taylor]: Taking taylor expansion of re in re 2.184 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify 1 into 1 2.184 * [backup-simplify]: Simplify (/ 1 1) into 1 2.184 * [taylor]: Taking taylor expansion of (+ (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (/ 1 re)) in re 2.184 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.184 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2)))) in re 2.184 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2))) in re 2.184 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.184 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.184 * [taylor]: Taking taylor expansion of im in re 2.184 * [backup-simplify]: Simplify im into im 2.184 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.184 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.184 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.184 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.184 * [taylor]: Taking taylor expansion of re in re 2.184 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify 1 into 1 2.185 * [backup-simplify]: Simplify (* 1 1) into 1 2.185 * [backup-simplify]: Simplify (/ 1 1) into 1 2.185 * [backup-simplify]: Simplify (+ 0 1) into 1 2.185 * [backup-simplify]: Simplify (log 1) into 0 2.185 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in re 2.185 * [taylor]: Taking taylor expansion of (exp 1/2) in re 2.185 * [taylor]: Taking taylor expansion of 1/2 in re 2.185 * [backup-simplify]: Simplify 1/2 into 1/2 2.186 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.186 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.186 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.187 * [backup-simplify]: Simplify (* (- (* 2 (log re))) 1/2) into (* -1 (log re)) 2.187 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 2.187 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.187 * [taylor]: Taking taylor expansion of re in re 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify 1 into 1 2.193 * [backup-simplify]: Simplify (/ 1 1) into 1 2.193 * [backup-simplify]: Simplify (+ 0 1) into 1 2.193 * [taylor]: Taking taylor expansion of 1 in im 2.193 * [backup-simplify]: Simplify 1 into 1 2.193 * [backup-simplify]: Simplify 1 into 1 2.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.194 * [backup-simplify]: Simplify (+ (pow re -1) 0) into (pow re -1) 2.194 * [taylor]: Taking taylor expansion of (pow re -1) in im 2.194 * [taylor]: Taking taylor expansion of re in im 2.194 * [backup-simplify]: Simplify re into re 2.194 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.194 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.194 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.195 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 1) 1)))) into 0 2.196 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp 1/2) 1)))) 1) into 0 2.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.197 * [backup-simplify]: Simplify (+ 0 0) into 0 2.198 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.199 * [backup-simplify]: Simplify (+ (* (- (* 2 (log re))) 0) (* 0 1/2)) into 0 2.199 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.200 * [backup-simplify]: Simplify (+ 0 0) into 0 2.200 * [taylor]: Taking taylor expansion of 0 in im 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.201 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.203 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp 1/2) 1)))) 2) into 0 2.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.204 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.205 * [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)) 2.206 * [backup-simplify]: Simplify (+ (* (- (* 2 (log re))) 0) (+ (* 0 0) (* (/ 1 (pow im 2)) 1/2))) into (* 1/2 (/ 1 (pow im 2))) 2.206 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 (* re (pow im 2))) 2.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.207 * [backup-simplify]: Simplify (+ (/ 1/2 (* re (pow im 2))) 0) into (* 1/2 (/ 1 (* re (pow im 2)))) 2.207 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re (pow im 2)))) in im 2.207 * [taylor]: Taking taylor expansion of 1/2 in im 2.207 * [backup-simplify]: Simplify 1/2 into 1/2 2.207 * [taylor]: Taking taylor expansion of (/ 1 (* re (pow im 2))) in im 2.207 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im 2.207 * [taylor]: Taking taylor expansion of re in im 2.207 * [backup-simplify]: Simplify re into re 2.207 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.207 * [taylor]: Taking taylor expansion of im in im 2.207 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify 1 into 1 2.207 * [backup-simplify]: Simplify (* 1 1) into 1 2.207 * [backup-simplify]: Simplify (* re 1) into re 2.207 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.209 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 1))) into 0 2.209 * [backup-simplify]: Simplify (+ (* re 0) (* 0 1)) into 0 2.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 re)))) into 0 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify (+ (/ 1 (/ 1 re)) (* 1 (* 1 (/ 1 (/ 1 re))))) into (* 2 re) 2.210 * [backup-simplify]: Simplify (+ (pow (exp 1/2) (log (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (/ 1 (- re))) into (- (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (/ 1 re)) 2.210 * [approximate]: Taking taylor expansion of (- (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (/ 1 re)) in (re im) around 0 2.210 * [taylor]: Taking taylor expansion of (- (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (/ 1 re)) in im 2.210 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.210 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2)))) in im 2.210 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2))) in im 2.210 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.210 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.211 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.211 * [taylor]: Taking taylor expansion of im in im 2.211 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify 1 into 1 2.211 * [backup-simplify]: Simplify (* 1 1) into 1 2.211 * [backup-simplify]: Simplify (/ 1 1) into 1 2.211 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.211 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.211 * [taylor]: Taking taylor expansion of re in im 2.211 * [backup-simplify]: Simplify re into re 2.211 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.211 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.211 * [backup-simplify]: Simplify (+ 1 0) into 1 2.212 * [backup-simplify]: Simplify (log 1) into 0 2.212 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in im 2.212 * [taylor]: Taking taylor expansion of (exp 1/2) in im 2.212 * [taylor]: Taking taylor expansion of 1/2 in im 2.212 * [backup-simplify]: Simplify 1/2 into 1/2 2.212 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.213 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.213 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 2.213 * [backup-simplify]: Simplify (* (- (* 2 (log im))) 1/2) into (* -1 (log im)) 2.213 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1) 2.213 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.213 * [taylor]: Taking taylor expansion of re in im 2.213 * [backup-simplify]: Simplify re into re 2.213 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.213 * [taylor]: Taking taylor expansion of (- (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (/ 1 re)) in re 2.213 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.213 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2)))) in re 2.213 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2))) in re 2.213 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.213 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.213 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.213 * [taylor]: Taking taylor expansion of im in re 2.213 * [backup-simplify]: Simplify im into im 2.213 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.213 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.213 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.213 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.213 * [taylor]: Taking taylor expansion of re in re 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 1 into 1 2.214 * [backup-simplify]: Simplify (* 1 1) into 1 2.214 * [backup-simplify]: Simplify (/ 1 1) into 1 2.214 * [backup-simplify]: Simplify (+ 0 1) into 1 2.214 * [backup-simplify]: Simplify (log 1) into 0 2.214 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in re 2.214 * [taylor]: Taking taylor expansion of (exp 1/2) in re 2.214 * [taylor]: Taking taylor expansion of 1/2 in re 2.215 * [backup-simplify]: Simplify 1/2 into 1/2 2.215 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.215 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.216 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.216 * [backup-simplify]: Simplify (* (- (* 2 (log re))) 1/2) into (* -1 (log re)) 2.216 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 2.216 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.216 * [taylor]: Taking taylor expansion of re in re 2.216 * [backup-simplify]: Simplify 0 into 0 2.216 * [backup-simplify]: Simplify 1 into 1 2.216 * [backup-simplify]: Simplify (/ 1 1) into 1 2.216 * [taylor]: Taking taylor expansion of (- (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (/ 1 re)) in re 2.216 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.216 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2)))) in re 2.216 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2))) in re 2.216 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.216 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.216 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.216 * [taylor]: Taking taylor expansion of im in re 2.216 * [backup-simplify]: Simplify im into im 2.216 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.216 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.216 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.216 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.216 * [taylor]: Taking taylor expansion of re in re 2.216 * [backup-simplify]: Simplify 0 into 0 2.216 * [backup-simplify]: Simplify 1 into 1 2.217 * [backup-simplify]: Simplify (* 1 1) into 1 2.217 * [backup-simplify]: Simplify (/ 1 1) into 1 2.217 * [backup-simplify]: Simplify (+ 0 1) into 1 2.217 * [backup-simplify]: Simplify (log 1) into 0 2.217 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in re 2.217 * [taylor]: Taking taylor expansion of (exp 1/2) in re 2.217 * [taylor]: Taking taylor expansion of 1/2 in re 2.217 * [backup-simplify]: Simplify 1/2 into 1/2 2.218 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.218 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.218 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.219 * [backup-simplify]: Simplify (* (- (* 2 (log re))) 1/2) into (* -1 (log re)) 2.219 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 2.219 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.219 * [taylor]: Taking taylor expansion of re in re 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 1 into 1 2.219 * [backup-simplify]: Simplify (/ 1 1) into 1 2.219 * [backup-simplify]: Simplify (- 1) into -1 2.219 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.219 * [taylor]: Taking taylor expansion of -1 in im 2.219 * [backup-simplify]: Simplify -1 into -1 2.219 * [backup-simplify]: Simplify -1 into -1 2.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.220 * [backup-simplify]: Simplify (- 0) into 0 2.220 * [backup-simplify]: Simplify (+ (pow re -1) 0) into (pow re -1) 2.220 * [taylor]: Taking taylor expansion of (pow re -1) in im 2.220 * [taylor]: Taking taylor expansion of re in im 2.220 * [backup-simplify]: Simplify re into re 2.220 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.220 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.220 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.221 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 1) 1)))) into 0 2.222 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp 1/2) 1)))) 1) into 0 2.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.223 * [backup-simplify]: Simplify (+ 0 0) into 0 2.224 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.224 * [backup-simplify]: Simplify (+ (* (- (* 2 (log re))) 0) (* 0 1/2)) into 0 2.225 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.225 * [backup-simplify]: Simplify (- 0) into 0 2.226 * [backup-simplify]: Simplify (+ 0 0) into 0 2.226 * [taylor]: Taking taylor expansion of 0 in im 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.227 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.229 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp 1/2) 1)))) 2) into 0 2.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.230 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.231 * [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)) 2.231 * [backup-simplify]: Simplify (+ (* (- (* 2 (log re))) 0) (+ (* 0 0) (* (/ 1 (pow im 2)) 1/2))) into (* 1/2 (/ 1 (pow im 2))) 2.232 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 (* re (pow im 2))) 2.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.233 * [backup-simplify]: Simplify (- 0) into 0 2.233 * [backup-simplify]: Simplify (+ (/ 1/2 (* re (pow im 2))) 0) into (* 1/2 (/ 1 (* re (pow im 2)))) 2.233 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re (pow im 2)))) in im 2.233 * [taylor]: Taking taylor expansion of 1/2 in im 2.233 * [backup-simplify]: Simplify 1/2 into 1/2 2.233 * [taylor]: Taking taylor expansion of (/ 1 (* re (pow im 2))) in im 2.233 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im 2.233 * [taylor]: Taking taylor expansion of re in im 2.233 * [backup-simplify]: Simplify re into re 2.233 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.233 * [taylor]: Taking taylor expansion of im in im 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify 1 into 1 2.233 * [backup-simplify]: Simplify (* 1 1) into 1 2.233 * [backup-simplify]: Simplify (* re 1) into re 2.233 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.235 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 1))) into 0 2.235 * [backup-simplify]: Simplify (+ (* re 0) (* 0 1)) into 0 2.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.236 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 re)))) into 0 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify (+ (/ 1 (/ 1 (- re))) (* -1 (* 1 (/ 1 (/ 1 (- re)))))) into 0 2.236 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 2.236 * [backup-simplify]: Simplify (pow (exp 1/2) (log (+ (* re re) (* im im)))) into (pow (exp 1/2) (log (+ (pow re 2) (pow im 2)))) 2.236 * [approximate]: Taking taylor expansion of (pow (exp 1/2) (log (+ (pow re 2) (pow im 2)))) in (re im) around 0 2.236 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (pow re 2) (pow im 2)))) in im 2.236 * [taylor]: Taking taylor expansion of (exp (* (log (+ (pow re 2) (pow im 2))) (log (exp 1/2)))) in im 2.236 * [taylor]: Taking taylor expansion of (* (log (+ (pow re 2) (pow im 2))) (log (exp 1/2))) in im 2.236 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 2.236 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 * [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 2.237 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.237 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.237 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 2.237 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in im 2.237 * [taylor]: Taking taylor expansion of (exp 1/2) in im 2.237 * [taylor]: Taking taylor expansion of 1/2 in im 2.237 * [backup-simplify]: Simplify 1/2 into 1/2 2.237 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.238 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.238 * [backup-simplify]: Simplify (* (log (pow re 2)) 1/2) into (* 1/2 (log (pow re 2))) 2.238 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow re 2)))) into (pow (pow re 2) 1/2) 2.238 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (pow re 2) (pow im 2)))) in re 2.238 * [taylor]: Taking taylor expansion of (exp (* (log (+ (pow re 2) (pow im 2))) (log (exp 1/2)))) in re 2.238 * [taylor]: Taking taylor expansion of (* (log (+ (pow re 2) (pow im 2))) (log (exp 1/2))) in re 2.238 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 2.238 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 * [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 (+ 0 (pow im 2)) into (pow im 2) 2.238 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 2.238 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in re 2.238 * [taylor]: Taking taylor expansion of (exp 1/2) in re 2.238 * [taylor]: Taking taylor expansion of 1/2 in re 2.238 * [backup-simplify]: Simplify 1/2 into 1/2 2.239 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.239 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.239 * [backup-simplify]: Simplify (* (log (pow im 2)) 1/2) into (* 1/2 (log (pow im 2))) 2.239 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow im 2)))) into (pow (pow im 2) 1/2) 2.239 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (pow re 2) (pow im 2)))) in re 2.239 * [taylor]: Taking taylor expansion of (exp (* (log (+ (pow re 2) (pow im 2))) (log (exp 1/2)))) in re 2.239 * [taylor]: Taking taylor expansion of (* (log (+ (pow re 2) (pow im 2))) (log (exp 1/2))) in re 2.239 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 2.239 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.239 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.239 * [taylor]: Taking taylor expansion of re in re 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify 1 into 1 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 2.240 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.240 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.240 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 2.240 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in re 2.240 * [taylor]: Taking taylor expansion of (exp 1/2) in re 2.240 * [taylor]: Taking taylor expansion of 1/2 in re 2.240 * [backup-simplify]: Simplify 1/2 into 1/2 2.240 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.241 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.241 * [backup-simplify]: Simplify (* (log (pow im 2)) 1/2) into (* 1/2 (log (pow im 2))) 2.241 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow im 2)))) into (pow (pow im 2) 1/2) 2.241 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/2) in im 2.241 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (pow im 2)))) in im 2.241 * [taylor]: Taking taylor expansion of (* 1/2 (log (pow im 2))) in im 2.241 * [taylor]: Taking taylor expansion of 1/2 in im 2.241 * [backup-simplify]: Simplify 1/2 into 1/2 2.241 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 2.241 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.241 * [taylor]: Taking taylor expansion of im in im 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 1 into 1 2.241 * [backup-simplify]: Simplify (* 1 1) into 1 2.241 * [backup-simplify]: Simplify (log 1) into 0 2.242 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.242 * [backup-simplify]: Simplify (* 1/2 (* 2 (log im))) into (log im) 2.242 * [backup-simplify]: Simplify (exp (log im)) into im 2.242 * [backup-simplify]: Simplify im into im 2.243 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 1) 1)))) into 0 2.244 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp 1/2) 1)))) 1) into 0 2.244 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.244 * [backup-simplify]: Simplify (+ 0 0) into 0 2.244 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 2.245 * [backup-simplify]: Simplify (+ (* (log (pow im 2)) 0) (* 0 1/2)) into 0 2.245 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.245 * [taylor]: Taking taylor expansion of 0 in im 2.245 * [backup-simplify]: Simplify 0 into 0 2.245 * [backup-simplify]: Simplify 0 into 0 2.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.246 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.247 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* 2 (log im)))) into 0 2.247 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 1) 1)))) into 0 2.247 * [backup-simplify]: Simplify 0 into 0 2.249 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.250 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp 1/2) 1)))) 2) into 0 2.251 * [backup-simplify]: Simplify (* 1 1) into 1 2.251 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.251 * [backup-simplify]: Simplify (+ 1 0) into 1 2.252 * [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)) 2.253 * [backup-simplify]: Simplify (+ (* (log (pow im 2)) 0) (+ (* 0 0) (* (/ 1 (pow im 2)) 1/2))) into (* 1/2 (/ 1 (pow im 2))) 2.253 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 im) 2.253 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.253 * [taylor]: Taking taylor expansion of 1/2 in im 2.253 * [backup-simplify]: Simplify 1/2 into 1/2 2.253 * [taylor]: Taking taylor expansion of im in im 2.253 * [backup-simplify]: Simplify 0 into 0 2.253 * [backup-simplify]: Simplify 1 into 1 2.255 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify 0 into 0 2.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.257 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.257 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 2.259 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.259 * [backup-simplify]: Simplify 0 into 0 2.260 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.262 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp 1/2) 1)))) 6) into 0 2.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.263 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.264 * [backup-simplify]: Simplify (+ 0 0) into 0 2.265 * [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 2.266 * [backup-simplify]: Simplify (+ (* (log (pow im 2)) 0) (+ (* 0 0) (+ (* (/ 1 (pow im 2)) 0) (* 0 1/2)))) into 0 2.267 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.267 * [taylor]: Taking taylor expansion of 0 in im 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify im into im 2.268 * [backup-simplify]: Simplify (pow (exp 1/2) (log (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) into (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2.268 * [approximate]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 2.268 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.268 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2)))) in im 2.268 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2))) in im 2.268 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.268 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.268 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.268 * [taylor]: Taking taylor expansion of im in im 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 1 into 1 2.268 * [backup-simplify]: Simplify (* 1 1) into 1 2.269 * [backup-simplify]: Simplify (/ 1 1) into 1 2.269 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.269 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.269 * [taylor]: Taking taylor expansion of re in im 2.269 * [backup-simplify]: Simplify re into re 2.269 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.269 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.269 * [backup-simplify]: Simplify (+ 1 0) into 1 2.269 * [backup-simplify]: Simplify (log 1) into 0 2.269 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in im 2.269 * [taylor]: Taking taylor expansion of (exp 1/2) in im 2.269 * [taylor]: Taking taylor expansion of 1/2 in im 2.269 * [backup-simplify]: Simplify 1/2 into 1/2 2.270 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.270 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.271 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 2.271 * [backup-simplify]: Simplify (* (- (* 2 (log im))) 1/2) into (* -1 (log im)) 2.271 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1) 2.271 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.271 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2)))) in re 2.271 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2))) in re 2.271 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.271 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.271 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.271 * [taylor]: Taking taylor expansion of im in re 2.271 * [backup-simplify]: Simplify im into im 2.271 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.271 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.271 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.271 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.271 * [taylor]: Taking taylor expansion of re in re 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify 1 into 1 2.271 * [backup-simplify]: Simplify (* 1 1) into 1 2.272 * [backup-simplify]: Simplify (/ 1 1) into 1 2.272 * [backup-simplify]: Simplify (+ 0 1) into 1 2.272 * [backup-simplify]: Simplify (log 1) into 0 2.272 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in re 2.272 * [taylor]: Taking taylor expansion of (exp 1/2) in re 2.272 * [taylor]: Taking taylor expansion of 1/2 in re 2.272 * [backup-simplify]: Simplify 1/2 into 1/2 2.272 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.273 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.273 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.273 * [backup-simplify]: Simplify (* (- (* 2 (log re))) 1/2) into (* -1 (log re)) 2.273 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 2.273 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.273 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2)))) in re 2.273 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2))) in re 2.273 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.273 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.273 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.273 * [taylor]: Taking taylor expansion of im in re 2.274 * [backup-simplify]: Simplify im into im 2.274 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.274 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.274 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.274 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.274 * [taylor]: Taking taylor expansion of re in re 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify 1 into 1 2.274 * [backup-simplify]: Simplify (* 1 1) into 1 2.274 * [backup-simplify]: Simplify (/ 1 1) into 1 2.274 * [backup-simplify]: Simplify (+ 0 1) into 1 2.275 * [backup-simplify]: Simplify (log 1) into 0 2.275 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in re 2.275 * [taylor]: Taking taylor expansion of (exp 1/2) in re 2.275 * [taylor]: Taking taylor expansion of 1/2 in re 2.275 * [backup-simplify]: Simplify 1/2 into 1/2 2.275 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.276 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.276 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.276 * [backup-simplify]: Simplify (* (- (* 2 (log re))) 1/2) into (* -1 (log re)) 2.276 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 2.276 * [taylor]: Taking taylor expansion of (pow re -1) in im 2.276 * [taylor]: Taking taylor expansion of re in im 2.276 * [backup-simplify]: Simplify re into re 2.276 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.276 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.276 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.277 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 1) 1)))) into 0 2.278 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp 1/2) 1)))) 1) into 0 2.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.279 * [backup-simplify]: Simplify (+ 0 0) into 0 2.280 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.280 * [backup-simplify]: Simplify (+ (* (- (* 2 (log re))) 0) (* 0 1/2)) into 0 2.281 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.281 * [taylor]: Taking taylor expansion of 0 in im 2.281 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.281 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.282 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.284 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp 1/2) 1)))) 2) into 0 2.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.285 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.286 * [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)) 2.286 * [backup-simplify]: Simplify (+ (* (- (* 2 (log re))) 0) (+ (* 0 0) (* (/ 1 (pow im 2)) 1/2))) into (* 1/2 (/ 1 (pow im 2))) 2.294 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 (* re (pow im 2))) 2.294 * [taylor]: Taking taylor expansion of (/ 1/2 (* re (pow im 2))) in im 2.294 * [taylor]: Taking taylor expansion of 1/2 in im 2.294 * [backup-simplify]: Simplify 1/2 into 1/2 2.294 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im 2.294 * [taylor]: Taking taylor expansion of re in im 2.294 * [backup-simplify]: Simplify re into re 2.294 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.294 * [taylor]: Taking taylor expansion of im in im 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 1 into 1 2.295 * [backup-simplify]: Simplify (* 1 1) into 1 2.295 * [backup-simplify]: Simplify (* re 1) into re 2.295 * [backup-simplify]: Simplify (/ 1/2 re) into (/ 1/2 re) 2.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.296 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 1))) into 0 2.296 * [backup-simplify]: Simplify (+ (* re 0) (* 0 1)) into 0 2.296 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ 1/2 re) (/ 0 re)))) into 0 2.297 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ 1/2 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.297 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.297 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.298 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.301 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp 1/2) 1)))) 6) into 0 2.301 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.303 * [backup-simplify]: Simplify (+ 0 0) into 0 2.305 * [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 2.306 * [backup-simplify]: Simplify (+ (* (- (* 2 (log re))) 0) (+ (* 0 0) (+ (* (/ 1 (pow im 2)) 0) (* 0 1/2)))) into 0 2.307 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.307 * [taylor]: Taking taylor expansion of 0 in im 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify (/ 1 (/ 1 re)) into re 2.308 * [backup-simplify]: Simplify (pow (exp 1/2) (log (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) into (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2.308 * [approximate]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 2.308 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.308 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2)))) in im 2.308 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2))) in im 2.308 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.308 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.308 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.308 * [taylor]: Taking taylor expansion of im in im 2.308 * [backup-simplify]: Simplify 0 into 0 2.308 * [backup-simplify]: Simplify 1 into 1 2.308 * [backup-simplify]: Simplify (* 1 1) into 1 2.308 * [backup-simplify]: Simplify (/ 1 1) into 1 2.308 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.308 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.308 * [taylor]: Taking taylor expansion of re in im 2.308 * [backup-simplify]: Simplify re into re 2.308 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.309 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.309 * [backup-simplify]: Simplify (+ 1 0) into 1 2.309 * [backup-simplify]: Simplify (log 1) into 0 2.309 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in im 2.309 * [taylor]: Taking taylor expansion of (exp 1/2) in im 2.309 * [taylor]: Taking taylor expansion of 1/2 in im 2.309 * [backup-simplify]: Simplify 1/2 into 1/2 2.309 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.310 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.310 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 2.310 * [backup-simplify]: Simplify (* (- (* 2 (log im))) 1/2) into (* -1 (log im)) 2.310 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1) 2.310 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.310 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2)))) in re 2.310 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2))) in re 2.310 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.310 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.310 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.310 * [taylor]: Taking taylor expansion of im in re 2.310 * [backup-simplify]: Simplify im into im 2.310 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.311 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.311 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.311 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.311 * [taylor]: Taking taylor expansion of re in re 2.311 * [backup-simplify]: Simplify 0 into 0 2.311 * [backup-simplify]: Simplify 1 into 1 2.311 * [backup-simplify]: Simplify (* 1 1) into 1 2.311 * [backup-simplify]: Simplify (/ 1 1) into 1 2.311 * [backup-simplify]: Simplify (+ 0 1) into 1 2.312 * [backup-simplify]: Simplify (log 1) into 0 2.312 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in re 2.312 * [taylor]: Taking taylor expansion of (exp 1/2) in re 2.312 * [taylor]: Taking taylor expansion of 1/2 in re 2.312 * [backup-simplify]: Simplify 1/2 into 1/2 2.312 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.312 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.313 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.313 * [backup-simplify]: Simplify (* (- (* 2 (log re))) 1/2) into (* -1 (log re)) 2.313 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 2.313 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.313 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2)))) in re 2.313 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2))) in re 2.313 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.313 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.313 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.313 * [taylor]: Taking taylor expansion of im in re 2.313 * [backup-simplify]: Simplify im into im 2.313 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.313 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.313 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.313 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.313 * [taylor]: Taking taylor expansion of re in re 2.313 * [backup-simplify]: Simplify 0 into 0 2.313 * [backup-simplify]: Simplify 1 into 1 2.313 * [backup-simplify]: Simplify (* 1 1) into 1 2.314 * [backup-simplify]: Simplify (/ 1 1) into 1 2.314 * [backup-simplify]: Simplify (+ 0 1) into 1 2.314 * [backup-simplify]: Simplify (log 1) into 0 2.314 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in re 2.314 * [taylor]: Taking taylor expansion of (exp 1/2) in re 2.314 * [taylor]: Taking taylor expansion of 1/2 in re 2.314 * [backup-simplify]: Simplify 1/2 into 1/2 2.314 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.315 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.315 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.315 * [backup-simplify]: Simplify (* (- (* 2 (log re))) 1/2) into (* -1 (log re)) 2.315 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 2.316 * [taylor]: Taking taylor expansion of (pow re -1) in im 2.316 * [taylor]: Taking taylor expansion of re in im 2.316 * [backup-simplify]: Simplify re into re 2.316 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.316 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.316 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.317 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 1) 1)))) into 0 2.317 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp 1/2) 1)))) 1) into 0 2.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.318 * [backup-simplify]: Simplify (+ 0 0) into 0 2.319 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.319 * [backup-simplify]: Simplify (+ (* (- (* 2 (log re))) 0) (* 0 1/2)) into 0 2.320 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.320 * [taylor]: Taking taylor expansion of 0 in im 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.321 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.323 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp 1/2) 1)))) 2) into 0 2.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.324 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.325 * [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)) 2.326 * [backup-simplify]: Simplify (+ (* (- (* 2 (log re))) 0) (+ (* 0 0) (* (/ 1 (pow im 2)) 1/2))) into (* 1/2 (/ 1 (pow im 2))) 2.326 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 (* re (pow im 2))) 2.326 * [taylor]: Taking taylor expansion of (/ 1/2 (* re (pow im 2))) in im 2.326 * [taylor]: Taking taylor expansion of 1/2 in im 2.326 * [backup-simplify]: Simplify 1/2 into 1/2 2.326 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im 2.326 * [taylor]: Taking taylor expansion of re in im 2.326 * [backup-simplify]: Simplify re into re 2.326 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.326 * [taylor]: Taking taylor expansion of im in im 2.326 * [backup-simplify]: Simplify 0 into 0 2.326 * [backup-simplify]: Simplify 1 into 1 2.327 * [backup-simplify]: Simplify (* 1 1) into 1 2.327 * [backup-simplify]: Simplify (* re 1) into re 2.327 * [backup-simplify]: Simplify (/ 1/2 re) into (/ 1/2 re) 2.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.328 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 1))) into 0 2.328 * [backup-simplify]: Simplify (+ (* re 0) (* 0 1)) into 0 2.328 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ 1/2 re) (/ 0 re)))) into 0 2.329 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ 1/2 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.330 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.333 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp 1/2) 1)))) 6) into 0 2.333 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.335 * [backup-simplify]: Simplify (+ 0 0) into 0 2.337 * [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 2.337 * [backup-simplify]: Simplify (+ (* (- (* 2 (log re))) 0) (+ (* 0 0) (+ (* (/ 1 (pow im 2)) 0) (* 0 1/2)))) into 0 2.339 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.339 * [taylor]: Taking taylor expansion of 0 in im 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify (/ 1 (/ 1 (- re))) into (* -1 re) 2.339 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1) 2.339 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 2.339 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 2.339 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.339 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.339 * [taylor]: Taking taylor expansion of re in im 2.339 * [backup-simplify]: Simplify re into re 2.339 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.339 * [taylor]: Taking taylor expansion of im in im 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 1 into 1 2.339 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.339 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.339 * [taylor]: Taking taylor expansion of re in re 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 1 into 1 2.339 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.339 * [taylor]: Taking taylor expansion of im in re 2.339 * [backup-simplify]: Simplify im into im 2.339 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.339 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.339 * [taylor]: Taking taylor expansion of re in re 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 1 into 1 2.339 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.339 * [taylor]: Taking taylor expansion of im in re 2.339 * [backup-simplify]: Simplify im into im 2.339 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.340 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.340 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.340 * [taylor]: Taking taylor expansion of im in im 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify 1 into 1 2.340 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.340 * [backup-simplify]: Simplify (+ 0 0) into 0 2.340 * [taylor]: Taking taylor expansion of 0 in im 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify (* 1 1) into 1 2.340 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.341 * [backup-simplify]: Simplify (+ 1 0) into 1 2.341 * [taylor]: Taking taylor expansion of 1 in im 2.341 * [backup-simplify]: Simplify 1 into 1 2.341 * [backup-simplify]: Simplify 1 into 1 2.341 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify (* 1 1) into 1 2.341 * [backup-simplify]: Simplify 1 into 1 2.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.342 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.342 * [backup-simplify]: Simplify (+ 0 0) into 0 2.342 * [taylor]: Taking taylor expansion of 0 in im 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify 0 into 0 2.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.343 * [backup-simplify]: Simplify 0 into 0 2.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.344 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 2.344 * [backup-simplify]: Simplify (+ 0 0) into 0 2.344 * [taylor]: Taking taylor expansion of 0 in im 2.344 * [backup-simplify]: Simplify 0 into 0 2.344 * [backup-simplify]: Simplify 0 into 0 2.344 * [backup-simplify]: Simplify 0 into 0 2.344 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 2.344 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 2.344 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 2.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.345 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.345 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.345 * [taylor]: Taking taylor expansion of im in im 2.345 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify 1 into 1 2.345 * [backup-simplify]: Simplify (* 1 1) into 1 2.345 * [backup-simplify]: Simplify (/ 1 1) into 1 2.345 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.345 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.345 * [taylor]: Taking taylor expansion of re in im 2.345 * [backup-simplify]: Simplify re into re 2.345 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.345 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.345 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.345 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.345 * [taylor]: Taking taylor expansion of im in re 2.345 * [backup-simplify]: Simplify im into im 2.345 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.346 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.346 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.346 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.346 * [taylor]: Taking taylor expansion of re in re 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify 1 into 1 2.346 * [backup-simplify]: Simplify (* 1 1) into 1 2.346 * [backup-simplify]: Simplify (/ 1 1) into 1 2.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.346 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.346 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.346 * [taylor]: Taking taylor expansion of im in re 2.346 * [backup-simplify]: Simplify im into im 2.346 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.346 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.346 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.346 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.346 * [taylor]: Taking taylor expansion of re in re 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify 1 into 1 2.347 * [backup-simplify]: Simplify (* 1 1) into 1 2.347 * [backup-simplify]: Simplify (/ 1 1) into 1 2.347 * [backup-simplify]: Simplify (+ 0 1) into 1 2.347 * [taylor]: Taking taylor expansion of 1 in im 2.347 * [backup-simplify]: Simplify 1 into 1 2.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.348 * [backup-simplify]: Simplify (+ 0 0) into 0 2.348 * [taylor]: Taking taylor expansion of 0 in im 2.348 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.350 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.350 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.350 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.350 * [taylor]: Taking taylor expansion of im in im 2.350 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify 1 into 1 2.350 * [backup-simplify]: Simplify (* 1 1) into 1 2.350 * [backup-simplify]: Simplify (/ 1 1) into 1 2.350 * [backup-simplify]: Simplify 1 into 1 2.350 * [backup-simplify]: Simplify 1 into 1 2.351 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.352 * [backup-simplify]: Simplify (+ 0 0) into 0 2.352 * [taylor]: Taking taylor expansion of 0 in im 2.352 * [backup-simplify]: Simplify 0 into 0 2.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.353 * [backup-simplify]: Simplify 0 into 0 2.353 * [backup-simplify]: Simplify 0 into 0 2.353 * [backup-simplify]: Simplify 0 into 0 2.353 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 2.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.355 * [backup-simplify]: Simplify (+ 0 0) into 0 2.355 * [taylor]: Taking taylor expansion of 0 in im 2.355 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.356 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 2.356 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 2.356 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 2.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.356 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.356 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.356 * [taylor]: Taking taylor expansion of im in im 2.356 * [backup-simplify]: Simplify 0 into 0 2.357 * [backup-simplify]: Simplify 1 into 1 2.357 * [backup-simplify]: Simplify (* 1 1) into 1 2.357 * [backup-simplify]: Simplify (/ 1 1) into 1 2.357 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.357 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.357 * [taylor]: Taking taylor expansion of re in im 2.357 * [backup-simplify]: Simplify re into re 2.357 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.357 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.357 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.357 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.357 * [taylor]: Taking taylor expansion of im in re 2.357 * [backup-simplify]: Simplify im into im 2.357 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.357 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.357 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.357 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.357 * [taylor]: Taking taylor expansion of re in re 2.357 * [backup-simplify]: Simplify 0 into 0 2.357 * [backup-simplify]: Simplify 1 into 1 2.358 * [backup-simplify]: Simplify (* 1 1) into 1 2.358 * [backup-simplify]: Simplify (/ 1 1) into 1 2.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.358 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.358 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.358 * [taylor]: Taking taylor expansion of im in re 2.358 * [backup-simplify]: Simplify im into im 2.358 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.358 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.358 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.358 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.358 * [taylor]: Taking taylor expansion of re in re 2.358 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify 1 into 1 2.358 * [backup-simplify]: Simplify (* 1 1) into 1 2.359 * [backup-simplify]: Simplify (/ 1 1) into 1 2.359 * [backup-simplify]: Simplify (+ 0 1) into 1 2.359 * [taylor]: Taking taylor expansion of 1 in im 2.359 * [backup-simplify]: Simplify 1 into 1 2.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.360 * [backup-simplify]: Simplify (+ 0 0) into 0 2.360 * [taylor]: Taking taylor expansion of 0 in im 2.360 * [backup-simplify]: Simplify 0 into 0 2.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.361 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.361 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.361 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.361 * [taylor]: Taking taylor expansion of im in im 2.361 * [backup-simplify]: Simplify 0 into 0 2.361 * [backup-simplify]: Simplify 1 into 1 2.362 * [backup-simplify]: Simplify (* 1 1) into 1 2.362 * [backup-simplify]: Simplify (/ 1 1) into 1 2.362 * [backup-simplify]: Simplify 1 into 1 2.362 * [backup-simplify]: Simplify 1 into 1 2.362 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.363 * [backup-simplify]: Simplify (+ 0 0) into 0 2.363 * [taylor]: Taking taylor expansion of 0 in im 2.363 * [backup-simplify]: Simplify 0 into 0 2.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.364 * [backup-simplify]: Simplify 0 into 0 2.364 * [backup-simplify]: Simplify 0 into 0 2.364 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 2.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.366 * [backup-simplify]: Simplify (+ 0 0) into 0 2.366 * [taylor]: Taking taylor expansion of 0 in im 2.366 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify 0 into 0 2.368 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 2.368 * * * [progress]: simplifying candidates 2.369 * [simplify]: Simplifying: (log (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (log (cbrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (log 1) (log (+ (* re re) (* im im))) (log (+ (pow (* re re) 3) (pow (* im im) 3))) (log (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (log (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (log (- (* re re) (* im im))) (log (+ (* re re) (* im im))) (log (log (+ (* re re) (* im im)))) (exp (log (+ (* re re) (* im im)))) (* (cbrt (log (+ (* re re) (* im im)))) (cbrt (log (+ (* re re) (* im im))))) (cbrt (log (+ (* re re) (* im im)))) (* (* (log (+ (* re re) (* im im))) (log (+ (* re re) (* im im)))) (log (+ (* re re) (* im im)))) (sqrt (log (+ (* re re) (* im im)))) (sqrt (log (+ (* re re) (* im im)))) (* (exp (pow (exp 1/2) (log (+ (* re re) (* im im))))) (exp re)) (log (+ (pow (exp 1/2) (log (+ (* re re) (* im im)))) re)) (exp (+ (pow (exp 1/2) (log (+ (* re re) (* im im)))) re)) (* (cbrt (+ (pow (exp 1/2) (log (+ (* re re) (* im im)))) re)) (cbrt (+ (pow (exp 1/2) (log (+ (* re re) (* im im)))) re))) (cbrt (+ (pow (exp 1/2) (log (+ (* re re) (* im im)))) re)) (* (* (+ (pow (exp 1/2) (log (+ (* re re) (* im im)))) re) (+ (pow (exp 1/2) (log (+ (* re re) (* im im)))) re)) (+ (pow (exp 1/2) (log (+ (* re re) (* im im)))) re)) (sqrt (+ (pow (exp 1/2) (log (+ (* re re) (* im im)))) re)) (sqrt (+ (pow (exp 1/2) (log (+ (* re re) (* im im)))) re)) (+ (pow (pow (exp 1/2) (log (+ (* re re) (* im im)))) 3) (pow re 3)) (+ (* (pow (exp 1/2) (log (+ (* re re) (* im im)))) (pow (exp 1/2) (log (+ (* re re) (* im im))))) (- (* re re) (* (pow (exp 1/2) (log (+ (* re re) (* im im)))) re))) (- (* (pow (exp 1/2) (log (+ (* re re) (* im im)))) (pow (exp 1/2) (log (+ (* re re) (* im im))))) (* re re)) (- (pow (exp 1/2) (log (+ (* re re) (* im im)))) re) (+ (pow (exp 1/2) (log (+ (* re re) (* im im)))) re) (* 1/2 (log (+ (* re re) (* im im)))) (* (log (exp 1/2)) (log (+ (* re re) (* im im)))) (* 1 (log (+ (* re re) (* im im)))) (* (cbrt 1/2) (log (+ (* re re) (* im im)))) (* (sqrt 1/2) (log (+ (* re re) (* im im)))) (* 1/2 (log (+ (* re re) (* im im)))) (pow (exp 1/2) (log (+ (pow (* re re) 3) (pow (* im im) 3)))) (pow (exp 1/2) (log (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (pow (exp 1/2) (log (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (pow (exp 1/2) (log (- (* re re) (* im im)))) (pow (exp 1/2) 1) (pow (exp 1/2) (* (cbrt (log (+ (* re re) (* im im)))) (cbrt (log (+ (* re re) (* im im)))))) (pow (exp 1/2) (sqrt (log (+ (* re re) (* im im))))) (pow (exp 1/2) 1) (pow (exp 1/2) (log (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (pow (exp 1/2) (log (cbrt (+ (* re re) (* im im))))) (pow (exp 1/2) (log (sqrt (+ (* re re) (* im im))))) (pow (exp 1/2) (log (sqrt (+ (* re re) (* im im))))) (pow (exp 1/2) (log 1)) (pow (exp 1/2) (log (+ (* re re) (* im im)))) (pow (* (cbrt (exp 1/2)) (cbrt (exp 1/2))) (log (+ (* re re) (* im im)))) (pow (cbrt (exp 1/2)) (log (+ (* re re) (* im im)))) (pow (sqrt (exp 1/2)) (log (+ (* re re) (* im im)))) (pow (sqrt (exp 1/2)) (log (+ (* re re) (* im im)))) (pow 1 (log (+ (* re re) (* im im)))) (pow (exp 1/2) (log (+ (* re re) (* im im)))) (log (pow (exp 1/2) (log (+ (* re re) (* im im))))) (exp (pow (exp 1/2) (log (+ (* re re) (* im im))))) (* (cbrt (pow (exp 1/2) (log (+ (* re re) (* im im))))) (cbrt (pow (exp 1/2) (log (+ (* re re) (* im im)))))) (cbrt (pow (exp 1/2) (log (+ (* re re) (* im im))))) (* (* (pow (exp 1/2) (log (+ (* re re) (* im im)))) (pow (exp 1/2) (log (+ (* re re) (* im im))))) (pow (exp 1/2) (log (+ (* re re) (* im im))))) (sqrt (pow (exp 1/2) (log (+ (* re re) (* im im))))) (sqrt (pow (exp 1/2) (log (+ (* re re) (* im im))))) (pow (exp 1/2) (/ (log (+ (* re re) (* im im))) 2)) (pow (exp 1/2) (/ (log (+ (* re re) (* im im))) 2)) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) (* 2 (log im)) (- (* 2 (log (/ 1 re)))) (- (* 2 (log (/ -1 re)))) (+ re im) (* 2 re) 0 im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 2.369 * [simplify]: Sending expressions to egg_math: (log (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (log (cbrt (+ (* h0 h0) (* h1 h1)))) (log (sqrt (+ (* h0 h0) (* h1 h1)))) (log (sqrt (+ (* h0 h0) (* h1 h1)))) (log 1) (log (+ (* h0 h0) (* h1 h1))) (log (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (log (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (log (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (log (- (* h0 h0) (* h1 h1))) (log (+ (* h0 h0) (* h1 h1))) (log (log (+ (* h0 h0) (* h1 h1)))) (exp (log (+ (* h0 h0) (* h1 h1)))) (* (cbrt (log (+ (* h0 h0) (* h1 h1)))) (cbrt (log (+ (* h0 h0) (* h1 h1))))) (cbrt (log (+ (* h0 h0) (* h1 h1)))) (* (* (log (+ (* h0 h0) (* h1 h1))) (log (+ (* h0 h0) (* h1 h1)))) (log (+ (* h0 h0) (* h1 h1)))) (sqrt (log (+ (* h0 h0) (* h1 h1)))) (sqrt (log (+ (* h0 h0) (* h1 h1)))) (* (exp (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1))))) (exp h0)) (log (+ (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) h0)) (exp (+ (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) h0)) (* (cbrt (+ (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) h0)) (cbrt (+ (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) h0))) (cbrt (+ (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) h0)) (* (* (+ (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) h0) (+ (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) h0)) (+ (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) h0)) (sqrt (+ (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) h0)) (sqrt (+ (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) h0)) (+ (pow (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) 3) (pow h0 3)) (+ (* (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1))))) (- (* h0 h0) (* (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) h0))) (- (* (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1))))) (* h0 h0)) (- (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) h0) (+ (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) h0) (* 1/2 (log (+ (* h0 h0) (* h1 h1)))) (* (log (exp 1/2)) (log (+ (* h0 h0) (* h1 h1)))) (* 1 (log (+ (* h0 h0) (* h1 h1)))) (* (cbrt 1/2) (log (+ (* h0 h0) (* h1 h1)))) (* (sqrt 1/2) (log (+ (* h0 h0) (* h1 h1)))) (* 1/2 (log (+ (* h0 h0) (* h1 h1)))) (pow (exp 1/2) (log (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)))) (pow (exp 1/2) (log (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))))) (pow (exp 1/2) (log (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))) (pow (exp 1/2) (log (- (* h0 h0) (* h1 h1)))) (pow (exp 1/2) 1) (pow (exp 1/2) (* (cbrt (log (+ (* h0 h0) (* h1 h1)))) (cbrt (log (+ (* h0 h0) (* h1 h1)))))) (pow (exp 1/2) (sqrt (log (+ (* h0 h0) (* h1 h1))))) (pow (exp 1/2) 1) (pow (exp 1/2) (log (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))) (pow (exp 1/2) (log (cbrt (+ (* h0 h0) (* h1 h1))))) (pow (exp 1/2) (log (sqrt (+ (* h0 h0) (* h1 h1))))) (pow (exp 1/2) (log (sqrt (+ (* h0 h0) (* h1 h1))))) (pow (exp 1/2) (log 1)) (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) (pow (* (cbrt (exp 1/2)) (cbrt (exp 1/2))) (log (+ (* h0 h0) (* h1 h1)))) (pow (cbrt (exp 1/2)) (log (+ (* h0 h0) (* h1 h1)))) (pow (sqrt (exp 1/2)) (log (+ (* h0 h0) (* h1 h1)))) (pow (sqrt (exp 1/2)) (log (+ (* h0 h0) (* h1 h1)))) (pow 1 (log (+ (* h0 h0) (* h1 h1)))) (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) (log (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1))))) (exp (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1))))) (* (cbrt (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1))))) (cbrt (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))))) (cbrt (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1))))) (* (* (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1))))) (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1))))) (sqrt (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1))))) (sqrt (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1))))) (pow (exp 1/2) (/ (log (+ (* h0 h0) (* h1 h1))) 2)) (pow (exp 1/2) (/ (log (+ (* h0 h0) (* h1 h1))) 2)) (* (exp (* h0 h0)) (exp (* h1 h1))) (log (+ (* h0 h0) (* h1 h1))) (exp (+ (* h0 h0) (* h1 h1))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (* h0 h0) (* h1 h1)) (* 2 (log h1)) (- (* 2 (log (/ 1 h0)))) (- (* 2 (log (/ -1 h0)))) (+ h0 h1) (* 2 h0) 0 h1 h0 (* -1 h0) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) 2.374 * * [simplify]: iteration 0 : 294 enodes (cost 578 ) 2.380 * * [simplify]: iteration 1 : 1016 enodes (cost 535 ) 2.399 * * [simplify]: iteration 2 : 3325 enodes (cost 530 ) 2.474 * * [simplify]: iteration 3 : 5001 enodes (cost 530 ) 2.477 * * * [progress]: adding candidates to table 2.702 * [progress]: [Phase 3 of 3] Extracting. 2.702 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 2.704 * * * [regime-changes]: Trying 7 branch expressions: ((* im im) (+ (sqrt (+ (* re re) (* im im))) re) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re) 2.704 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # # # #) 2.754 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #) 2.797 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # # # # # #) 2.858 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # # # # # # #) 2.919 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # # # # # # #) 2.986 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (# # # # # # # # # # # #) 3.053 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # # # #) 3.131 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # # # #) 3.196 * * * [regime]: Found split indices: #