24.002 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying: (sqrt (+ (* re re) (* im im))) 0.018 * * [simplify]: Extracting # 0 : cost 0 0.018 * * [simplify]: Extracting # 1 : cost 0 0.018 * * [simplify]: Extracting # 2 : cost 0 0.018 * * [simplify]: Extracting # 3 : cost 0 0.018 * * [simplify]: Extracting # 4 : cost 0 0.018 * * [simplify]: Extracting # 5 : cost 0 0.018 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.019 * * [simplify]: Extracting # 0 : cost 0 0.019 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 0.021 * * [simplify]: Extracting # 0 : cost 0 0.021 * * [simplify]: iteration done: 7 enodes (cost 8 ) 0.021 * [simplify]: Simplified to: (sqrt (+ (* re re) (* im im))) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.052 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.068 * * * [progress]: generating series expansions 0.068 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.069 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.069 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.069 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.069 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.069 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.069 * [taylor]: Taking taylor expansion of re in im 0.069 * [backup-simplify]: Simplify re into re 0.069 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.069 * [taylor]: Taking taylor expansion of im in im 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.069 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.069 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.069 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.071 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.071 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.071 * [taylor]: Taking taylor expansion of re in re 0.071 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.072 * [taylor]: Taking taylor expansion of im in re 0.072 * [backup-simplify]: Simplify im into im 0.072 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.072 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.072 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.072 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.073 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.073 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.073 * [taylor]: Taking taylor expansion of re in re 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.073 * [taylor]: Taking taylor expansion of im in re 0.073 * [backup-simplify]: Simplify im into im 0.073 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.074 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.074 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.074 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.075 * [taylor]: Taking taylor expansion of im in im 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [taylor]: Taking taylor expansion of 0 in im 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (* 1 1) into 1 0.076 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.077 * [backup-simplify]: Simplify (+ 1 0) into 1 0.077 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.077 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.077 * [taylor]: Taking taylor expansion of 1/2 in im 0.077 * [backup-simplify]: Simplify 1/2 into 1/2 0.077 * [taylor]: Taking taylor expansion of im in im 0.077 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.080 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.081 * [taylor]: Taking taylor expansion of 0 in im 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.082 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.082 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.082 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.082 * [taylor]: Taking taylor expansion of im in im 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (* 1 1) into 1 0.083 * [backup-simplify]: Simplify (/ 1 1) into 1 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.083 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.083 * [taylor]: Taking taylor expansion of re in im 0.083 * [backup-simplify]: Simplify re into re 0.083 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.084 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.084 * [backup-simplify]: Simplify (+ 1 0) into 1 0.084 * [backup-simplify]: Simplify (sqrt 1) into 1 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.087 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.087 * [taylor]: Taking taylor expansion of im in re 0.087 * [backup-simplify]: Simplify im into im 0.087 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.087 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.087 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.087 * [taylor]: Taking taylor expansion of re in re 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (* 1 1) into 1 0.088 * [backup-simplify]: Simplify (/ 1 1) into 1 0.088 * [backup-simplify]: Simplify (+ 0 1) into 1 0.089 * [backup-simplify]: Simplify (sqrt 1) into 1 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.091 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.091 * [taylor]: Taking taylor expansion of im in re 0.091 * [backup-simplify]: Simplify im into im 0.091 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.091 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.092 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.092 * [taylor]: Taking taylor expansion of re in re 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (* 1 1) into 1 0.092 * [backup-simplify]: Simplify (/ 1 1) into 1 0.093 * [backup-simplify]: Simplify (+ 0 1) into 1 0.093 * [backup-simplify]: Simplify (sqrt 1) into 1 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.095 * [taylor]: Taking taylor expansion of 1 in im 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [taylor]: Taking taylor expansion of 0 in im 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.099 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.099 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.099 * [taylor]: Taking taylor expansion of 1/2 in im 0.099 * [backup-simplify]: Simplify 1/2 into 1/2 0.099 * [taylor]: Taking taylor expansion of (pow im 2) in im 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 (* 1 1) into 1 0.100 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.104 * [taylor]: Taking taylor expansion of 0 in im 0.104 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.107 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.107 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.107 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.107 * [taylor]: Taking taylor expansion of im in im 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (* 1 1) into 1 0.108 * [backup-simplify]: Simplify (/ 1 1) into 1 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.108 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.108 * [taylor]: Taking taylor expansion of re in im 0.108 * [backup-simplify]: Simplify re into re 0.108 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.108 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.109 * [backup-simplify]: Simplify (+ 1 0) into 1 0.109 * [backup-simplify]: Simplify (sqrt 1) into 1 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.121 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.121 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.121 * [taylor]: Taking taylor expansion of im in re 0.121 * [backup-simplify]: Simplify im into im 0.121 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.121 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.121 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.121 * [taylor]: Taking taylor expansion of re in re 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (* 1 1) into 1 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 0.122 * [backup-simplify]: Simplify (+ 0 1) into 1 0.123 * [backup-simplify]: Simplify (sqrt 1) into 1 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.125 * [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 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.130 * [taylor]: Taking taylor expansion of 1 in im 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [taylor]: Taking taylor expansion of 0 in im 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.132 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.132 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.132 * [taylor]: Taking taylor expansion of 1/2 in im 0.132 * [backup-simplify]: Simplify 1/2 into 1/2 0.132 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.132 * [taylor]: Taking taylor expansion of im in im 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (* 1 1) into 1 0.133 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.135 * [taylor]: Taking taylor expansion of 0 in im 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.137 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.137 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.137 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.137 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.137 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.137 * [taylor]: Taking taylor expansion of re in im 0.137 * [backup-simplify]: Simplify re into re 0.137 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.137 * [taylor]: Taking taylor expansion of im in im 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 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 * [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) 0.138 * [taylor]: Taking taylor expansion of (pow im 2) in 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 (+ (* im 0) (* 0 im)) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [taylor]: Taking taylor expansion of 0 in im 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (* 1 1) into 1 0.138 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) 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 0 into 0 0.139 * [backup-simplify]: Simplify (* 1 1) into 1 0.139 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.140 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [taylor]: Taking taylor expansion of 0 in im 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.144 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [taylor]: Taking taylor expansion of 0 in im 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.145 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.145 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 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 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.146 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.146 * [taylor]: Taking taylor expansion of re in im 0.146 * [backup-simplify]: Simplify re into re 0.146 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.146 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.146 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.146 * [taylor]: Taking taylor expansion of im in re 0.146 * [backup-simplify]: Simplify im into im 0.146 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.146 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.147 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.147 * [taylor]: Taking taylor expansion of re in re 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (* 1 1) into 1 0.147 * [backup-simplify]: Simplify (/ 1 1) into 1 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.147 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.147 * [taylor]: Taking taylor expansion of im in re 0.147 * [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 0.148 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [backup-simplify]: Simplify (+ 0 1) into 1 0.149 * [taylor]: Taking taylor expansion of 1 in im 0.149 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [taylor]: Taking taylor expansion of 0 in im 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.153 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.153 * [taylor]: Taking taylor expansion of im in im 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (* 1 1) into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [taylor]: Taking taylor expansion of 0 in im 0.156 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [taylor]: Taking taylor expansion of 0 in im 0.161 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.163 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.163 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.163 * [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 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.164 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.164 * [taylor]: Taking taylor expansion of re in im 0.164 * [backup-simplify]: Simplify re into re 0.164 * [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 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.165 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.165 * [taylor]: Taking taylor expansion of im in re 0.165 * [backup-simplify]: Simplify im into im 0.165 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.165 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.165 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.165 * [taylor]: Taking taylor expansion of re in re 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (* 1 1) into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.166 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.166 * [taylor]: Taking taylor expansion of im in re 0.166 * [backup-simplify]: Simplify im into im 0.166 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.166 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.166 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.166 * [taylor]: Taking taylor expansion of re in re 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (* 1 1) into 1 0.167 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [backup-simplify]: Simplify (+ 0 1) into 1 0.168 * [taylor]: Taking taylor expansion of 1 in im 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [taylor]: Taking taylor expansion of 0 in im 0.169 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.171 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.171 * [taylor]: Taking taylor expansion of im in im 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (* 1 1) into 1 0.172 * [backup-simplify]: Simplify (/ 1 1) into 1 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [taylor]: Taking taylor expansion of 0 in im 0.175 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.182 * * * [progress]: simplifying candidates 0.183 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.185 * * [simplify]: Extracting # 0 : cost 0 0.185 * * [simplify]: Extracting # 1 : cost 0 0.185 * * [simplify]: Extracting # 2 : cost 0 0.185 * * [simplify]: Extracting # 3 : cost 0 0.185 * * [simplify]: Extracting # 4 : cost 0 0.185 * * [simplify]: Extracting # 5 : cost 0 0.185 * * [simplify]: iteration 0 : 48 enodes (cost 379 ) 0.203 * * [simplify]: Extracting # 0 : cost 0 0.203 * * [simplify]: Extracting # 1 : cost 0 0.203 * * [simplify]: Extracting # 2 : cost 0 0.203 * * [simplify]: Extracting # 3 : cost 0 0.203 * * [simplify]: Extracting # 4 : cost 0 0.204 * * [simplify]: iteration 1 : 124 enodes (cost 347 ) 0.254 * * [simplify]: Extracting # 0 : cost 0 0.255 * * [simplify]: Extracting # 1 : cost 0 0.255 * * [simplify]: Extracting # 2 : cost 0 0.256 * * [simplify]: Extracting # 3 : cost 0 0.257 * * [simplify]: Extracting # 4 : cost 0 0.257 * * [simplify]: iteration 2 : 343 enodes (cost 295 ) 0.451 * * [simplify]: Extracting # 0 : cost 0 0.452 * * [simplify]: Extracting # 1 : cost 0 0.453 * * [simplify]: Extracting # 2 : cost 0 0.454 * * [simplify]: Extracting # 3 : cost 0 0.455 * * [simplify]: Extracting # 4 : cost 0 0.456 * * [simplify]: iteration 3 : 968 enodes (cost 295 ) 1.242 * * [simplify]: Extracting # 0 : cost 0 1.245 * * [simplify]: Extracting # 1 : cost 0 1.248 * * [simplify]: Extracting # 2 : cost 0 1.250 * * [simplify]: Extracting # 3 : cost 0 1.252 * * [simplify]: Extracting # 4 : cost 0 1.255 * * [simplify]: iteration 4 : 2668 enodes (cost 295 ) 2.377 * * [simplify]: Extracting # 0 : cost 0 2.389 * * [simplify]: Extracting # 1 : cost 0 2.395 * * [simplify]: Extracting # 2 : cost 0 2.401 * * [simplify]: Extracting # 3 : cost 0 2.406 * * [simplify]: Extracting # 4 : cost 0 2.412 * * [simplify]: iteration done: 5000 enodes (cost 295 ) 2.412 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow im 6) (pow re 6)) (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) im re (- re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 2.413 * * * [progress]: adding candidates to table 2.503 * * [progress]: iteration 2 / 4 2.503 * * * [progress]: picking best candidate 2.508 * * * * [pick]: Picked # 2.508 * * * [progress]: localizing error 2.528 * * * [progress]: generating rewritten candidates 2.528 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.543 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 2.558 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.574 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.588 * * * [progress]: generating series expansions 2.588 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.588 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.588 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.588 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.588 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.588 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.588 * [taylor]: Taking taylor expansion of re in im 2.588 * [backup-simplify]: Simplify re into re 2.588 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.588 * [taylor]: Taking taylor expansion of im in im 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 1 into 1 2.588 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.589 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.589 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.589 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.590 * [backup-simplify]: Simplify (+ 0 0) into 0 2.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.590 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.590 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.590 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.590 * [taylor]: Taking taylor expansion of re in re 2.590 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify 1 into 1 2.590 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.590 * [taylor]: Taking taylor expansion of im in re 2.590 * [backup-simplify]: Simplify im into im 2.590 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.590 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.590 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.590 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.591 * [backup-simplify]: Simplify (+ 0 0) into 0 2.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.591 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.591 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.591 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.591 * [taylor]: Taking taylor expansion of re in re 2.591 * [backup-simplify]: Simplify 0 into 0 2.591 * [backup-simplify]: Simplify 1 into 1 2.591 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.591 * [taylor]: Taking taylor expansion of im in re 2.591 * [backup-simplify]: Simplify im into im 2.591 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.592 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.592 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.592 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.592 * [backup-simplify]: Simplify (+ 0 0) into 0 2.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.592 * [taylor]: Taking taylor expansion of im in im 2.592 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify 1 into 1 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [taylor]: Taking taylor expansion of 0 in im 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify 1 into 1 2.593 * [backup-simplify]: Simplify (* 1 1) into 1 2.594 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.594 * [backup-simplify]: Simplify (+ 1 0) into 1 2.595 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.595 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.595 * [taylor]: Taking taylor expansion of 1/2 in im 2.595 * [backup-simplify]: Simplify 1/2 into 1/2 2.595 * [taylor]: Taking taylor expansion of im in im 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [backup-simplify]: Simplify 1 into 1 2.595 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.598 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.598 * [backup-simplify]: Simplify (+ 0 0) into 0 2.598 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.598 * [taylor]: Taking taylor expansion of 0 in im 2.598 * [backup-simplify]: Simplify 0 into 0 2.598 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.600 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.600 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.600 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.600 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.600 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.600 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.600 * [taylor]: Taking taylor expansion of im in im 2.600 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify 1 into 1 2.601 * [backup-simplify]: Simplify (* 1 1) into 1 2.601 * [backup-simplify]: Simplify (/ 1 1) into 1 2.601 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.601 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.601 * [taylor]: Taking taylor expansion of re in im 2.601 * [backup-simplify]: Simplify re into re 2.601 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.601 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.602 * [backup-simplify]: Simplify (+ 1 0) into 1 2.602 * [backup-simplify]: Simplify (sqrt 1) into 1 2.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.604 * [backup-simplify]: Simplify (+ 0 0) into 0 2.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.605 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.605 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.605 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.605 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.605 * [taylor]: Taking taylor expansion of im in re 2.605 * [backup-simplify]: Simplify im into im 2.605 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.605 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.605 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.605 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.605 * [taylor]: Taking taylor expansion of re in re 2.605 * [backup-simplify]: Simplify 0 into 0 2.605 * [backup-simplify]: Simplify 1 into 1 2.606 * [backup-simplify]: Simplify (* 1 1) into 1 2.606 * [backup-simplify]: Simplify (/ 1 1) into 1 2.607 * [backup-simplify]: Simplify (+ 0 1) into 1 2.607 * [backup-simplify]: Simplify (sqrt 1) into 1 2.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.609 * [backup-simplify]: Simplify (+ 0 0) into 0 2.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.609 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.610 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.610 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.610 * [taylor]: Taking taylor expansion of im in re 2.610 * [backup-simplify]: Simplify im into im 2.610 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.610 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.610 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.610 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.610 * [taylor]: Taking taylor expansion of re in re 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify 1 into 1 2.610 * [backup-simplify]: Simplify (* 1 1) into 1 2.611 * [backup-simplify]: Simplify (/ 1 1) into 1 2.611 * [backup-simplify]: Simplify (+ 0 1) into 1 2.612 * [backup-simplify]: Simplify (sqrt 1) into 1 2.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.613 * [backup-simplify]: Simplify (+ 0 0) into 0 2.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.614 * [taylor]: Taking taylor expansion of 1 in im 2.614 * [backup-simplify]: Simplify 1 into 1 2.614 * [taylor]: Taking taylor expansion of 0 in im 2.614 * [backup-simplify]: Simplify 0 into 0 2.614 * [backup-simplify]: Simplify 1 into 1 2.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.616 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.617 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.617 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.617 * [taylor]: Taking taylor expansion of 1/2 in im 2.617 * [backup-simplify]: Simplify 1/2 into 1/2 2.617 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.617 * [taylor]: Taking taylor expansion of im in im 2.617 * [backup-simplify]: Simplify 0 into 0 2.617 * [backup-simplify]: Simplify 1 into 1 2.617 * [backup-simplify]: Simplify (* 1 1) into 1 2.617 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.620 * [backup-simplify]: Simplify (+ 0 0) into 0 2.620 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.620 * [taylor]: Taking taylor expansion of 0 in im 2.620 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.621 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.622 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.622 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.622 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.622 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.622 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.622 * [taylor]: Taking taylor expansion of im in im 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify 1 into 1 2.622 * [backup-simplify]: Simplify (* 1 1) into 1 2.622 * [backup-simplify]: Simplify (/ 1 1) into 1 2.622 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.622 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.622 * [taylor]: Taking taylor expansion of re in im 2.622 * [backup-simplify]: Simplify re into re 2.622 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.623 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.623 * [backup-simplify]: Simplify (+ 1 0) into 1 2.623 * [backup-simplify]: Simplify (sqrt 1) into 1 2.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.624 * [backup-simplify]: Simplify (+ 0 0) into 0 2.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.630 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.630 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.631 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.631 * [taylor]: Taking taylor expansion of im in re 2.631 * [backup-simplify]: Simplify im into im 2.631 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.631 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.631 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.631 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.631 * [taylor]: Taking taylor expansion of re in re 2.631 * [backup-simplify]: Simplify 0 into 0 2.631 * [backup-simplify]: Simplify 1 into 1 2.631 * [backup-simplify]: Simplify (* 1 1) into 1 2.632 * [backup-simplify]: Simplify (/ 1 1) into 1 2.632 * [backup-simplify]: Simplify (+ 0 1) into 1 2.632 * [backup-simplify]: Simplify (sqrt 1) into 1 2.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.633 * [backup-simplify]: Simplify (+ 0 0) into 0 2.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.634 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.634 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.634 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.634 * [taylor]: Taking taylor expansion of im in re 2.634 * [backup-simplify]: Simplify im into im 2.634 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.634 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.634 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.634 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.634 * [taylor]: Taking taylor expansion of re in re 2.634 * [backup-simplify]: Simplify 0 into 0 2.634 * [backup-simplify]: Simplify 1 into 1 2.634 * [backup-simplify]: Simplify (* 1 1) into 1 2.634 * [backup-simplify]: Simplify (/ 1 1) into 1 2.635 * [backup-simplify]: Simplify (+ 0 1) into 1 2.635 * [backup-simplify]: Simplify (sqrt 1) into 1 2.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.636 * [backup-simplify]: Simplify (+ 0 0) into 0 2.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.636 * [taylor]: Taking taylor expansion of 1 in im 2.636 * [backup-simplify]: Simplify 1 into 1 2.637 * [taylor]: Taking taylor expansion of 0 in im 2.637 * [backup-simplify]: Simplify 0 into 0 2.637 * [backup-simplify]: Simplify 1 into 1 2.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.638 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.639 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.639 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.639 * [taylor]: Taking taylor expansion of 1/2 in im 2.639 * [backup-simplify]: Simplify 1/2 into 1/2 2.639 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.639 * [taylor]: Taking taylor expansion of im in im 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify 1 into 1 2.639 * [backup-simplify]: Simplify (* 1 1) into 1 2.639 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.640 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify 0 into 0 2.641 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.642 * [backup-simplify]: Simplify (+ 0 0) into 0 2.642 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.642 * [taylor]: Taking taylor expansion of 0 in im 2.643 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.644 * [backup-simplify]: Simplify 0 into 0 2.644 * [backup-simplify]: Simplify 0 into 0 2.644 * [backup-simplify]: Simplify 0 into 0 2.644 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.644 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 2.644 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.644 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.644 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.644 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.644 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.644 * [taylor]: Taking taylor expansion of re in im 2.644 * [backup-simplify]: Simplify re into re 2.644 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.644 * [taylor]: Taking taylor expansion of im in im 2.644 * [backup-simplify]: Simplify 0 into 0 2.644 * [backup-simplify]: Simplify 1 into 1 2.644 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.644 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.644 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.644 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.645 * [backup-simplify]: Simplify (+ 0 0) into 0 2.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.645 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.645 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.645 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.645 * [taylor]: Taking taylor expansion of re in re 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify 1 into 1 2.645 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.645 * [taylor]: Taking taylor expansion of im in re 2.645 * [backup-simplify]: Simplify im into im 2.645 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.645 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.645 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.645 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.646 * [backup-simplify]: Simplify (+ 0 0) into 0 2.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.646 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.646 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.646 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.646 * [taylor]: Taking taylor expansion of re in re 2.646 * [backup-simplify]: Simplify 0 into 0 2.646 * [backup-simplify]: Simplify 1 into 1 2.646 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.646 * [taylor]: Taking taylor expansion of im in re 2.646 * [backup-simplify]: Simplify im into im 2.646 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.646 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.646 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.646 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.646 * [backup-simplify]: Simplify (+ 0 0) into 0 2.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.646 * [taylor]: Taking taylor expansion of im in im 2.646 * [backup-simplify]: Simplify 0 into 0 2.647 * [backup-simplify]: Simplify 1 into 1 2.647 * [backup-simplify]: Simplify 0 into 0 2.647 * [taylor]: Taking taylor expansion of 0 in im 2.647 * [backup-simplify]: Simplify 0 into 0 2.647 * [backup-simplify]: Simplify 0 into 0 2.647 * [backup-simplify]: Simplify 1 into 1 2.647 * [backup-simplify]: Simplify (* 1 1) into 1 2.647 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.648 * [backup-simplify]: Simplify (+ 1 0) into 1 2.648 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.648 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.648 * [taylor]: Taking taylor expansion of 1/2 in im 2.648 * [backup-simplify]: Simplify 1/2 into 1/2 2.648 * [taylor]: Taking taylor expansion of im in im 2.648 * [backup-simplify]: Simplify 0 into 0 2.648 * [backup-simplify]: Simplify 1 into 1 2.648 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.650 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.650 * [backup-simplify]: Simplify (+ 0 0) into 0 2.650 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.650 * [taylor]: Taking taylor expansion of 0 in im 2.650 * [backup-simplify]: Simplify 0 into 0 2.650 * [backup-simplify]: Simplify 0 into 0 2.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.651 * [backup-simplify]: Simplify 0 into 0 2.651 * [backup-simplify]: Simplify 0 into 0 2.651 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.651 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.651 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.651 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.651 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.651 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.651 * [taylor]: Taking taylor expansion of im in im 2.651 * [backup-simplify]: Simplify 0 into 0 2.651 * [backup-simplify]: Simplify 1 into 1 2.652 * [backup-simplify]: Simplify (* 1 1) into 1 2.652 * [backup-simplify]: Simplify (/ 1 1) into 1 2.652 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.652 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.652 * [taylor]: Taking taylor expansion of re in im 2.652 * [backup-simplify]: Simplify re into re 2.652 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.652 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.652 * [backup-simplify]: Simplify (+ 1 0) into 1 2.653 * [backup-simplify]: Simplify (sqrt 1) into 1 2.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.654 * [backup-simplify]: Simplify (+ 0 0) into 0 2.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.654 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.654 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.654 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.654 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.654 * [taylor]: Taking taylor expansion of im in re 2.654 * [backup-simplify]: Simplify im into im 2.654 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.654 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.654 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.654 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.654 * [taylor]: Taking taylor expansion of re in re 2.654 * [backup-simplify]: Simplify 0 into 0 2.654 * [backup-simplify]: Simplify 1 into 1 2.655 * [backup-simplify]: Simplify (* 1 1) into 1 2.655 * [backup-simplify]: Simplify (/ 1 1) into 1 2.655 * [backup-simplify]: Simplify (+ 0 1) into 1 2.655 * [backup-simplify]: Simplify (sqrt 1) into 1 2.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.657 * [backup-simplify]: Simplify (+ 0 0) into 0 2.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.657 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.657 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.657 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.657 * [taylor]: Taking taylor expansion of im in re 2.657 * [backup-simplify]: Simplify im into im 2.657 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.657 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.657 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.657 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.657 * [taylor]: Taking taylor expansion of re in re 2.657 * [backup-simplify]: Simplify 0 into 0 2.657 * [backup-simplify]: Simplify 1 into 1 2.658 * [backup-simplify]: Simplify (* 1 1) into 1 2.658 * [backup-simplify]: Simplify (/ 1 1) into 1 2.658 * [backup-simplify]: Simplify (+ 0 1) into 1 2.658 * [backup-simplify]: Simplify (sqrt 1) into 1 2.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.659 * [backup-simplify]: Simplify (+ 0 0) into 0 2.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.660 * [taylor]: Taking taylor expansion of 1 in im 2.660 * [backup-simplify]: Simplify 1 into 1 2.660 * [taylor]: Taking taylor expansion of 0 in im 2.660 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify 1 into 1 2.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.661 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.662 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.662 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.662 * [taylor]: Taking taylor expansion of 1/2 in im 2.662 * [backup-simplify]: Simplify 1/2 into 1/2 2.662 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.662 * [taylor]: Taking taylor expansion of im in im 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 1 into 1 2.663 * [backup-simplify]: Simplify (* 1 1) into 1 2.663 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.667 * [backup-simplify]: Simplify (+ 0 0) into 0 2.667 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.667 * [taylor]: Taking taylor expansion of 0 in im 2.667 * [backup-simplify]: Simplify 0 into 0 2.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.669 * [backup-simplify]: Simplify 0 into 0 2.669 * [backup-simplify]: Simplify 0 into 0 2.669 * [backup-simplify]: Simplify 0 into 0 2.669 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.670 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.670 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.670 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.670 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.670 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.670 * [taylor]: Taking taylor expansion of im in im 2.670 * [backup-simplify]: Simplify 0 into 0 2.670 * [backup-simplify]: Simplify 1 into 1 2.670 * [backup-simplify]: Simplify (* 1 1) into 1 2.670 * [backup-simplify]: Simplify (/ 1 1) into 1 2.670 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.670 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.670 * [taylor]: Taking taylor expansion of re in im 2.671 * [backup-simplify]: Simplify re into re 2.671 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.671 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.671 * [backup-simplify]: Simplify (+ 1 0) into 1 2.671 * [backup-simplify]: Simplify (sqrt 1) into 1 2.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.673 * [backup-simplify]: Simplify (+ 0 0) into 0 2.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.674 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.674 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.674 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.674 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.674 * [taylor]: Taking taylor expansion of im in re 2.674 * [backup-simplify]: Simplify im into im 2.674 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.674 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.674 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.674 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.674 * [taylor]: Taking taylor expansion of re in re 2.674 * [backup-simplify]: Simplify 0 into 0 2.674 * [backup-simplify]: Simplify 1 into 1 2.674 * [backup-simplify]: Simplify (* 1 1) into 1 2.675 * [backup-simplify]: Simplify (/ 1 1) into 1 2.675 * [backup-simplify]: Simplify (+ 0 1) into 1 2.675 * [backup-simplify]: Simplify (sqrt 1) into 1 2.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.677 * [backup-simplify]: Simplify (+ 0 0) into 0 2.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.678 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.678 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.678 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.678 * [taylor]: Taking taylor expansion of im in re 2.678 * [backup-simplify]: Simplify im into im 2.678 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.678 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.678 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.678 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.678 * [taylor]: Taking taylor expansion of re in re 2.678 * [backup-simplify]: Simplify 0 into 0 2.678 * [backup-simplify]: Simplify 1 into 1 2.678 * [backup-simplify]: Simplify (* 1 1) into 1 2.679 * [backup-simplify]: Simplify (/ 1 1) into 1 2.679 * [backup-simplify]: Simplify (+ 0 1) into 1 2.680 * [backup-simplify]: Simplify (sqrt 1) into 1 2.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.681 * [backup-simplify]: Simplify (+ 0 0) into 0 2.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.682 * [taylor]: Taking taylor expansion of 1 in im 2.682 * [backup-simplify]: Simplify 1 into 1 2.682 * [taylor]: Taking taylor expansion of 0 in im 2.682 * [backup-simplify]: Simplify 0 into 0 2.682 * [backup-simplify]: Simplify 1 into 1 2.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.684 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.685 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.685 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.685 * [taylor]: Taking taylor expansion of 1/2 in im 2.685 * [backup-simplify]: Simplify 1/2 into 1/2 2.685 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.685 * [taylor]: Taking taylor expansion of im in im 2.685 * [backup-simplify]: Simplify 0 into 0 2.685 * [backup-simplify]: Simplify 1 into 1 2.685 * [backup-simplify]: Simplify (* 1 1) into 1 2.686 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.690 * [backup-simplify]: Simplify (+ 0 0) into 0 2.690 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.690 * [taylor]: Taking taylor expansion of 0 in im 2.690 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.692 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.692 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.692 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.692 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.692 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.692 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.692 * [taylor]: Taking taylor expansion of re in im 2.693 * [backup-simplify]: Simplify re into re 2.693 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.693 * [taylor]: Taking taylor expansion of im in im 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 1 into 1 2.693 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.693 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.693 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.693 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.693 * [backup-simplify]: Simplify (+ 0 0) into 0 2.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.694 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.694 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.694 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.694 * [taylor]: Taking taylor expansion of re in re 2.694 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify 1 into 1 2.694 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.694 * [taylor]: Taking taylor expansion of im in re 2.694 * [backup-simplify]: Simplify im into im 2.694 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.694 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.694 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.694 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.694 * [backup-simplify]: Simplify (+ 0 0) into 0 2.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.695 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.695 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.695 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.695 * [taylor]: Taking taylor expansion of re in re 2.695 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify 1 into 1 2.695 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.695 * [taylor]: Taking taylor expansion of im in re 2.695 * [backup-simplify]: Simplify im into im 2.695 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.695 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.695 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.695 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.696 * [backup-simplify]: Simplify (+ 0 0) into 0 2.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.696 * [taylor]: Taking taylor expansion of im in im 2.696 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify 1 into 1 2.696 * [backup-simplify]: Simplify 0 into 0 2.696 * [taylor]: Taking taylor expansion of 0 in im 2.696 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify 1 into 1 2.696 * [backup-simplify]: Simplify (* 1 1) into 1 2.697 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.697 * [backup-simplify]: Simplify (+ 1 0) into 1 2.698 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.698 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.698 * [taylor]: Taking taylor expansion of 1/2 in im 2.698 * [backup-simplify]: Simplify 1/2 into 1/2 2.698 * [taylor]: Taking taylor expansion of im in im 2.698 * [backup-simplify]: Simplify 0 into 0 2.698 * [backup-simplify]: Simplify 1 into 1 2.699 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify 0 into 0 2.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.701 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.701 * [backup-simplify]: Simplify (+ 0 0) into 0 2.701 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.701 * [taylor]: Taking taylor expansion of 0 in im 2.701 * [backup-simplify]: Simplify 0 into 0 2.701 * [backup-simplify]: Simplify 0 into 0 2.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.702 * [backup-simplify]: Simplify 0 into 0 2.702 * [backup-simplify]: Simplify 0 into 0 2.702 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.703 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.703 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.703 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.703 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.703 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.703 * [taylor]: Taking taylor expansion of im in im 2.703 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify 1 into 1 2.703 * [backup-simplify]: Simplify (* 1 1) into 1 2.704 * [backup-simplify]: Simplify (/ 1 1) into 1 2.704 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.704 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.704 * [taylor]: Taking taylor expansion of re in im 2.704 * [backup-simplify]: Simplify re into re 2.704 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.704 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.704 * [backup-simplify]: Simplify (+ 1 0) into 1 2.705 * [backup-simplify]: Simplify (sqrt 1) into 1 2.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.706 * [backup-simplify]: Simplify (+ 0 0) into 0 2.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.707 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.707 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.707 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.707 * [taylor]: Taking taylor expansion of im in re 2.707 * [backup-simplify]: Simplify im into im 2.707 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.707 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.707 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.707 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.707 * [taylor]: Taking taylor expansion of re in re 2.707 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify 1 into 1 2.708 * [backup-simplify]: Simplify (* 1 1) into 1 2.708 * [backup-simplify]: Simplify (/ 1 1) into 1 2.709 * [backup-simplify]: Simplify (+ 0 1) into 1 2.709 * [backup-simplify]: Simplify (sqrt 1) into 1 2.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.710 * [backup-simplify]: Simplify (+ 0 0) into 0 2.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.711 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.711 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.711 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.711 * [taylor]: Taking taylor expansion of im in re 2.711 * [backup-simplify]: Simplify im into im 2.711 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.711 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.711 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.711 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.712 * [taylor]: Taking taylor expansion of re in re 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [backup-simplify]: Simplify 1 into 1 2.712 * [backup-simplify]: Simplify (* 1 1) into 1 2.712 * [backup-simplify]: Simplify (/ 1 1) into 1 2.713 * [backup-simplify]: Simplify (+ 0 1) into 1 2.713 * [backup-simplify]: Simplify (sqrt 1) into 1 2.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.714 * [backup-simplify]: Simplify (+ 0 0) into 0 2.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.715 * [taylor]: Taking taylor expansion of 1 in im 2.715 * [backup-simplify]: Simplify 1 into 1 2.715 * [taylor]: Taking taylor expansion of 0 in im 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify 1 into 1 2.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.717 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.718 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.718 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.718 * [taylor]: Taking taylor expansion of 1/2 in im 2.718 * [backup-simplify]: Simplify 1/2 into 1/2 2.718 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.718 * [taylor]: Taking taylor expansion of im in im 2.718 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 1 into 1 2.719 * [backup-simplify]: Simplify (* 1 1) into 1 2.719 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.724 * [backup-simplify]: Simplify (+ 0 0) into 0 2.724 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.724 * [taylor]: Taking taylor expansion of 0 in im 2.725 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.727 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.727 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.727 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.727 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.727 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.727 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.727 * [taylor]: Taking taylor expansion of im in im 2.727 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify 1 into 1 2.728 * [backup-simplify]: Simplify (* 1 1) into 1 2.728 * [backup-simplify]: Simplify (/ 1 1) into 1 2.728 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.728 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.728 * [taylor]: Taking taylor expansion of re in im 2.728 * [backup-simplify]: Simplify re into re 2.728 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.729 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.729 * [backup-simplify]: Simplify (+ 1 0) into 1 2.729 * [backup-simplify]: Simplify (sqrt 1) into 1 2.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.731 * [backup-simplify]: Simplify (+ 0 0) into 0 2.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.732 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.732 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.732 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.732 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.732 * [taylor]: Taking taylor expansion of im in re 2.732 * [backup-simplify]: Simplify im into im 2.733 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.733 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.733 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.733 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.733 * [taylor]: Taking taylor expansion of re in re 2.733 * [backup-simplify]: Simplify 0 into 0 2.733 * [backup-simplify]: Simplify 1 into 1 2.733 * [backup-simplify]: Simplify (* 1 1) into 1 2.734 * [backup-simplify]: Simplify (/ 1 1) into 1 2.734 * [backup-simplify]: Simplify (+ 0 1) into 1 2.735 * [backup-simplify]: Simplify (sqrt 1) into 1 2.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.736 * [backup-simplify]: Simplify (+ 0 0) into 0 2.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.737 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.737 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.737 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.737 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.737 * [taylor]: Taking taylor expansion of im in re 2.737 * [backup-simplify]: Simplify im into im 2.737 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.738 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.738 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.738 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.738 * [taylor]: Taking taylor expansion of re in re 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 1 into 1 2.738 * [backup-simplify]: Simplify (* 1 1) into 1 2.739 * [backup-simplify]: Simplify (/ 1 1) into 1 2.739 * [backup-simplify]: Simplify (+ 0 1) into 1 2.740 * [backup-simplify]: Simplify (sqrt 1) into 1 2.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.741 * [backup-simplify]: Simplify (+ 0 0) into 0 2.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.742 * [taylor]: Taking taylor expansion of 1 in im 2.742 * [backup-simplify]: Simplify 1 into 1 2.742 * [taylor]: Taking taylor expansion of 0 in im 2.742 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify 1 into 1 2.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.744 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.745 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.745 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.745 * [taylor]: Taking taylor expansion of 1/2 in im 2.745 * [backup-simplify]: Simplify 1/2 into 1/2 2.745 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.745 * [taylor]: Taking taylor expansion of im in im 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify 1 into 1 2.746 * [backup-simplify]: Simplify (* 1 1) into 1 2.746 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.747 * [backup-simplify]: Simplify 0 into 0 2.748 * [backup-simplify]: Simplify 0 into 0 2.748 * [backup-simplify]: Simplify 0 into 0 2.748 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.751 * [backup-simplify]: Simplify (+ 0 0) into 0 2.751 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.751 * [taylor]: Taking taylor expansion of 0 in im 2.751 * [backup-simplify]: Simplify 0 into 0 2.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.753 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.754 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* re re) (* im im)))) into (pow (+ (pow re 2) (pow im 2)) 1/6) 2.754 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/6) in (re im) around 0 2.754 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/6) in im 2.754 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow re 2) (pow im 2))))) in im 2.754 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow re 2) (pow im 2)))) in im 2.754 * [taylor]: Taking taylor expansion of 1/6 in im 2.754 * [backup-simplify]: Simplify 1/6 into 1/6 2.754 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 2.754 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.754 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.754 * [taylor]: Taking taylor expansion of re in im 2.754 * [backup-simplify]: Simplify re into re 2.754 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.754 * [taylor]: Taking taylor expansion of im in im 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify 1 into 1 2.754 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.754 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.754 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 2.755 * [backup-simplify]: Simplify (* 1/6 (log (pow re 2))) into (* 1/6 (log (pow re 2))) 2.755 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow re 2)))) into (pow (pow re 2) 1/6) 2.755 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/6) in re 2.755 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow re 2) (pow im 2))))) in re 2.755 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow re 2) (pow im 2)))) in re 2.755 * [taylor]: Taking taylor expansion of 1/6 in re 2.755 * [backup-simplify]: Simplify 1/6 into 1/6 2.755 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 2.755 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.755 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.755 * [taylor]: Taking taylor expansion of re in re 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify 1 into 1 2.755 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.755 * [taylor]: Taking taylor expansion of im in re 2.755 * [backup-simplify]: Simplify im into im 2.755 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.755 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.755 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 2.756 * [backup-simplify]: Simplify (* 1/6 (log (pow im 2))) into (* 1/6 (log (pow im 2))) 2.756 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow im 2)))) into (pow (pow im 2) 1/6) 2.756 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/6) in re 2.756 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow re 2) (pow im 2))))) in re 2.756 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow re 2) (pow im 2)))) in re 2.756 * [taylor]: Taking taylor expansion of 1/6 in re 2.756 * [backup-simplify]: Simplify 1/6 into 1/6 2.756 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 2.756 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.756 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.756 * [taylor]: Taking taylor expansion of re in re 2.756 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify 1 into 1 2.756 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.756 * [taylor]: Taking taylor expansion of im in re 2.756 * [backup-simplify]: Simplify im into im 2.756 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.756 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.756 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 2.757 * [backup-simplify]: Simplify (* 1/6 (log (pow im 2))) into (* 1/6 (log (pow im 2))) 2.757 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow im 2)))) into (pow (pow im 2) 1/6) 2.757 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/6) in im 2.757 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (pow im 2)))) in im 2.757 * [taylor]: Taking taylor expansion of (* 1/6 (log (pow im 2))) in im 2.757 * [taylor]: Taking taylor expansion of 1/6 in im 2.757 * [backup-simplify]: Simplify 1/6 into 1/6 2.757 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 2.757 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.757 * [taylor]: Taking taylor expansion of im in im 2.757 * [backup-simplify]: Simplify 0 into 0 2.757 * [backup-simplify]: Simplify 1 into 1 2.762 * [backup-simplify]: Simplify (* 1 1) into 1 2.762 * [backup-simplify]: Simplify (log 1) into 0 2.763 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.763 * [backup-simplify]: Simplify (* 1/6 (* 2 (log im))) into (* 1/3 (log im)) 2.763 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 2.763 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3) 2.763 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.764 * [backup-simplify]: Simplify (+ 0 0) into 0 2.765 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 2.765 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (pow im 2)))) into 0 2.766 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.766 * [taylor]: Taking taylor expansion of 0 in im 2.766 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.768 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.768 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.769 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (* 2 (log im)))) into 0 2.770 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 2.770 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify (* 1 1) into 1 2.770 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.771 * [backup-simplify]: Simplify (+ 1 0) into 1 2.773 * [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)) 2.773 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/6 (/ 1 (pow im 2))) 2.774 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 2.774 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 2.774 * [taylor]: Taking taylor expansion of 1/6 in im 2.774 * [backup-simplify]: Simplify 1/6 into 1/6 2.774 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 2.774 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 2.774 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 2.774 * [taylor]: Taking taylor expansion of 1/3 in im 2.774 * [backup-simplify]: Simplify 1/3 into 1/3 2.774 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 2.774 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 2.774 * [taylor]: Taking taylor expansion of (pow im 5) in im 2.775 * [taylor]: Taking taylor expansion of im in im 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify 1 into 1 2.775 * [backup-simplify]: Simplify (* 1 1) into 1 2.775 * [backup-simplify]: Simplify (* 1 1) into 1 2.776 * [backup-simplify]: Simplify (* 1 1) into 1 2.776 * [backup-simplify]: Simplify (/ 1 1) into 1 2.776 * [backup-simplify]: Simplify (log 1) into 0 2.777 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 2.777 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im)) 2.777 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3) 2.777 * [backup-simplify]: Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 2.778 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 2.778 * [backup-simplify]: Simplify 0 into 0 2.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.782 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.782 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.783 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 2.785 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.785 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.786 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.787 * [backup-simplify]: Simplify (+ 0 0) into 0 2.790 * [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 2.791 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 2.794 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.794 * [taylor]: Taking taylor expansion of 0 in im 2.794 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.798 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.799 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 2.799 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0 2.800 * [backup-simplify]: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 2.801 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.807 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.808 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.809 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 2.811 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.811 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) (pow (* 1 re) 2)) (pow im 1/3)) into (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) 2.812 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) 2.812 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in (re im) around 0 2.812 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in im 2.812 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.812 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.812 * [taylor]: Taking taylor expansion of 1/6 in im 2.812 * [backup-simplify]: Simplify 1/6 into 1/6 2.812 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.812 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.813 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.813 * [taylor]: Taking taylor expansion of im in im 2.813 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify 1 into 1 2.813 * [backup-simplify]: Simplify (* 1 1) into 1 2.813 * [backup-simplify]: Simplify (/ 1 1) into 1 2.813 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.813 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.813 * [taylor]: Taking taylor expansion of re in im 2.813 * [backup-simplify]: Simplify re into re 2.814 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.814 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.814 * [backup-simplify]: Simplify (+ 1 0) into 1 2.815 * [backup-simplify]: Simplify (log 1) into 0 2.815 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 2.815 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log im)))) into (* -1/3 (log im)) 2.815 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 2.815 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in re 2.815 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.815 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.815 * [taylor]: Taking taylor expansion of 1/6 in re 2.816 * [backup-simplify]: Simplify 1/6 into 1/6 2.816 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.816 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.816 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.816 * [taylor]: Taking taylor expansion of im in re 2.816 * [backup-simplify]: Simplify im into im 2.816 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.816 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.816 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.816 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.816 * [taylor]: Taking taylor expansion of re in re 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify 1 into 1 2.817 * [backup-simplify]: Simplify (* 1 1) into 1 2.817 * [backup-simplify]: Simplify (/ 1 1) into 1 2.818 * [backup-simplify]: Simplify (+ 0 1) into 1 2.818 * [backup-simplify]: Simplify (log 1) into 0 2.819 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.819 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 2.819 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 2.819 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in re 2.819 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.819 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.819 * [taylor]: Taking taylor expansion of 1/6 in re 2.819 * [backup-simplify]: Simplify 1/6 into 1/6 2.819 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.819 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.819 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.819 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.819 * [taylor]: Taking taylor expansion of im in re 2.820 * [backup-simplify]: Simplify im into im 2.820 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.820 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.820 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.820 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.820 * [taylor]: Taking taylor expansion of re in re 2.820 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify 1 into 1 2.820 * [backup-simplify]: Simplify (* 1 1) into 1 2.821 * [backup-simplify]: Simplify (/ 1 1) into 1 2.821 * [backup-simplify]: Simplify (+ 0 1) into 1 2.821 * [backup-simplify]: Simplify (log 1) into 0 2.822 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.822 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 2.822 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 2.822 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 2.822 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 2.822 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 2.822 * [taylor]: Taking taylor expansion of -1/3 in im 2.822 * [backup-simplify]: Simplify -1/3 into -1/3 2.822 * [taylor]: Taking taylor expansion of (log re) in im 2.822 * [taylor]: Taking taylor expansion of re in im 2.822 * [backup-simplify]: Simplify re into re 2.823 * [backup-simplify]: Simplify (log re) into (log re) 2.823 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 2.823 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 2.823 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 2.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.825 * [backup-simplify]: Simplify (+ 0 0) into 0 2.826 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.827 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.827 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log re))))) into 0 2.828 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.828 * [taylor]: Taking taylor expansion of 0 in im 2.828 * [backup-simplify]: Simplify 0 into 0 2.828 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 2.830 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 2.830 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.831 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.833 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.835 * [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)) 2.835 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.836 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/6 (/ 1 (pow im 2))) 2.837 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 2.837 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 2.837 * [taylor]: Taking taylor expansion of 1/6 in im 2.837 * [backup-simplify]: Simplify 1/6 into 1/6 2.837 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 2.837 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 2.837 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 2.837 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 2.837 * [taylor]: Taking taylor expansion of 1/3 in im 2.837 * [backup-simplify]: Simplify 1/3 into 1/3 2.837 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 2.837 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.837 * [taylor]: Taking taylor expansion of re in im 2.837 * [backup-simplify]: Simplify re into re 2.837 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.838 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 2.838 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 2.838 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 2.838 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.838 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.838 * [taylor]: Taking taylor expansion of im in im 2.838 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify 1 into 1 2.838 * [backup-simplify]: Simplify (* 1 1) into 1 2.839 * [backup-simplify]: Simplify (/ 1 1) into 1 2.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.843 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 2.844 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 2.845 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.847 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 2.848 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 2.849 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.850 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 2.851 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 2.851 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 2.852 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 2.852 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 2.855 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 2.856 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.859 * [backup-simplify]: Simplify (+ 0 0) into 0 2.863 * [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 2.863 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.864 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 2.867 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.867 * [taylor]: Taking taylor expansion of 0 in im 2.867 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3) 2.867 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) 2.868 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in (re im) around 0 2.868 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in im 2.868 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.868 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.868 * [taylor]: Taking taylor expansion of 1/6 in im 2.868 * [backup-simplify]: Simplify 1/6 into 1/6 2.868 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.868 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.868 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.868 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.868 * [taylor]: Taking taylor expansion of im in im 2.868 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify 1 into 1 2.868 * [backup-simplify]: Simplify (* 1 1) into 1 2.869 * [backup-simplify]: Simplify (/ 1 1) into 1 2.869 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.869 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.869 * [taylor]: Taking taylor expansion of re in im 2.869 * [backup-simplify]: Simplify re into re 2.869 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.869 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.869 * [backup-simplify]: Simplify (+ 1 0) into 1 2.870 * [backup-simplify]: Simplify (log 1) into 0 2.870 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 2.870 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log im)))) into (* -1/3 (log im)) 2.871 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 2.871 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in re 2.871 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.871 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.871 * [taylor]: Taking taylor expansion of 1/6 in re 2.871 * [backup-simplify]: Simplify 1/6 into 1/6 2.871 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.871 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.871 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.871 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.871 * [taylor]: Taking taylor expansion of im in re 2.871 * [backup-simplify]: Simplify im into im 2.871 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.871 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.871 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.871 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.871 * [taylor]: Taking taylor expansion of re in re 2.871 * [backup-simplify]: Simplify 0 into 0 2.871 * [backup-simplify]: Simplify 1 into 1 2.872 * [backup-simplify]: Simplify (* 1 1) into 1 2.872 * [backup-simplify]: Simplify (/ 1 1) into 1 2.873 * [backup-simplify]: Simplify (+ 0 1) into 1 2.873 * [backup-simplify]: Simplify (log 1) into 0 2.873 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.874 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 2.874 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 2.874 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in re 2.874 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.874 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.874 * [taylor]: Taking taylor expansion of 1/6 in re 2.874 * [backup-simplify]: Simplify 1/6 into 1/6 2.874 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.874 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.874 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.874 * [taylor]: Taking taylor expansion of im in re 2.874 * [backup-simplify]: Simplify im into im 2.874 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.874 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.874 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.874 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.874 * [taylor]: Taking taylor expansion of re in re 2.874 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify 1 into 1 2.875 * [backup-simplify]: Simplify (* 1 1) into 1 2.875 * [backup-simplify]: Simplify (/ 1 1) into 1 2.875 * [backup-simplify]: Simplify (+ 0 1) into 1 2.876 * [backup-simplify]: Simplify (log 1) into 0 2.876 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.876 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 2.877 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 2.877 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 2.877 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 2.877 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 2.877 * [taylor]: Taking taylor expansion of -1/3 in im 2.877 * [backup-simplify]: Simplify -1/3 into -1/3 2.877 * [taylor]: Taking taylor expansion of (log re) in im 2.877 * [taylor]: Taking taylor expansion of re in im 2.877 * [backup-simplify]: Simplify re into re 2.877 * [backup-simplify]: Simplify (log re) into (log re) 2.877 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 2.877 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 2.877 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 2.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.879 * [backup-simplify]: Simplify (+ 0 0) into 0 2.881 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.881 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.882 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log re))))) into 0 2.882 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.883 * [taylor]: Taking taylor expansion of 0 in im 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 2.884 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 2.885 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.885 * [backup-simplify]: Simplify 0 into 0 2.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.887 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.889 * [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)) 2.889 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.890 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/6 (/ 1 (pow im 2))) 2.891 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 2.891 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 2.891 * [taylor]: Taking taylor expansion of 1/6 in im 2.891 * [backup-simplify]: Simplify 1/6 into 1/6 2.891 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 2.892 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 2.892 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 2.892 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 2.892 * [taylor]: Taking taylor expansion of 1/3 in im 2.892 * [backup-simplify]: Simplify 1/3 into 1/3 2.892 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 2.892 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.892 * [taylor]: Taking taylor expansion of re in im 2.892 * [backup-simplify]: Simplify re into re 2.892 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.892 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 2.892 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 2.892 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 2.892 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.892 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.892 * [taylor]: Taking taylor expansion of im in im 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 1 into 1 2.893 * [backup-simplify]: Simplify (* 1 1) into 1 2.893 * [backup-simplify]: Simplify (/ 1 1) into 1 2.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.897 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 2.898 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 2.899 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.901 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 2.902 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 2.903 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.904 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 2.905 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 2.905 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 2.906 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 2.909 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 2.910 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.913 * [backup-simplify]: Simplify (+ 0 0) into 0 2.921 * [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 2.921 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.922 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 2.925 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.925 * [taylor]: Taking taylor expansion of 0 in im 2.925 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3) 2.925 * * * [progress]: simplifying candidates 2.927 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (cbrt (sqrt (+ (* re re) (* im im))))) (exp (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (cbrt (sqrt (cbrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt 1)) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt 1) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (cbrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (sqrt (- (* re re) (* im im)))) (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) im re (* -1 re) im re (* -1 re) im re (* -1 re) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 2.929 * * [simplify]: Extracting # 0 : cost 0 2.929 * * [simplify]: Extracting # 1 : cost 0 2.930 * * [simplify]: Extracting # 2 : cost 0 2.930 * * [simplify]: Extracting # 3 : cost 0 2.930 * * [simplify]: Extracting # 4 : cost 0 2.930 * * [simplify]: Extracting # 5 : cost 0 2.930 * * [simplify]: Extracting # 6 : cost 0 2.930 * * [simplify]: Extracting # 7 : cost 0 2.931 * * [simplify]: Extracting # 8 : cost 0 2.931 * * [simplify]: Extracting # 9 : cost 0 2.931 * * [simplify]: Extracting # 10 : cost 0 2.931 * * [simplify]: Extracting # 11 : cost 0 2.931 * * [simplify]: Extracting # 12 : cost 0 2.931 * * [simplify]: Extracting # 13 : cost 0 2.932 * * [simplify]: iteration 0 : 70 enodes (cost 952 ) 2.953 * * [simplify]: Extracting # 0 : cost 0 2.953 * * [simplify]: Extracting # 1 : cost 0 2.953 * * [simplify]: Extracting # 2 : cost 0 2.953 * * [simplify]: Extracting # 3 : cost 0 2.953 * * [simplify]: Extracting # 4 : cost 0 2.954 * * [simplify]: iteration 1 : 149 enodes (cost 853 ) 2.996 * * [simplify]: Extracting # 0 : cost 0 2.996 * * [simplify]: Extracting # 1 : cost 0 2.996 * * [simplify]: Extracting # 2 : cost 0 2.996 * * [simplify]: Extracting # 3 : cost 0 2.997 * * [simplify]: Extracting # 4 : cost 0 2.997 * * [simplify]: Extracting # 5 : cost 0 2.997 * * [simplify]: iteration 2 : 323 enodes (cost 761 ) 3.114 * * [simplify]: Extracting # 0 : cost 0 3.116 * * [simplify]: Extracting # 1 : cost 0 3.117 * * [simplify]: Extracting # 2 : cost 0 3.118 * * [simplify]: Extracting # 3 : cost 0 3.119 * * [simplify]: Extracting # 4 : cost 0 3.120 * * [simplify]: iteration 3 : 693 enodes (cost 750 ) 3.508 * * [simplify]: Extracting # 0 : cost 0 3.510 * * [simplify]: Extracting # 1 : cost 0 3.512 * * [simplify]: Extracting # 2 : cost 0 3.518 * * [simplify]: Extracting # 3 : cost 0 3.520 * * [simplify]: Extracting # 4 : cost 0 3.522 * * [simplify]: iteration 4 : 1884 enodes (cost 750 ) 4.648 * * [simplify]: Extracting # 0 : cost 0 4.661 * * [simplify]: Extracting # 1 : cost 0 4.673 * * [simplify]: Extracting # 2 : cost 0 4.684 * * [simplify]: Extracting # 3 : cost 0 4.695 * * [simplify]: Extracting # 4 : cost 0 4.706 * * [simplify]: iteration done: 5000 enodes (cost 750 ) 4.707 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (cbrt (sqrt (+ (* re re) (* im im))))) (exp (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (fabs (cbrt (+ (* re re) (* im im))))) (cbrt (sqrt (cbrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 1 (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 1 (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (pow im 6) (pow re 6)))) (cbrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) (cbrt (sqrt (- (pow re 4) (pow im 4)))) (cbrt (sqrt (- (* re re) (* im im)))) (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (+ (* re re) (* im im))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) im re (- re) im re (- re) im re (- re) (+ (* 1/6 (* (* re re) (cbrt (/ 1 (pow im 5))))) (cbrt im)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 4.708 * * * [progress]: adding candidates to table 5.019 * * [progress]: iteration 3 / 4 5.019 * * * [progress]: picking best candidate 5.029 * * * * [pick]: Picked # 5.029 * * * [progress]: localizing error 5.074 * * * [progress]: generating rewritten candidates 5.074 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 5.091 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 5.109 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 5.128 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 5.152 * * * [progress]: generating series expansions 5.152 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 5.153 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 5.153 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 5.153 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.153 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.153 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.153 * [taylor]: Taking taylor expansion of re in im 5.153 * [backup-simplify]: Simplify re into re 5.153 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.153 * [taylor]: Taking taylor expansion of im in im 5.153 * [backup-simplify]: Simplify 0 into 0 5.153 * [backup-simplify]: Simplify 1 into 1 5.153 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.153 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.154 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.154 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.154 * [backup-simplify]: Simplify (+ 0 0) into 0 5.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.155 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.155 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.155 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.155 * [taylor]: Taking taylor expansion of re in re 5.155 * [backup-simplify]: Simplify 0 into 0 5.155 * [backup-simplify]: Simplify 1 into 1 5.155 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.155 * [taylor]: Taking taylor expansion of im in re 5.155 * [backup-simplify]: Simplify im into im 5.155 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.155 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.155 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.155 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.156 * [backup-simplify]: Simplify (+ 0 0) into 0 5.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.156 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.156 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.156 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.156 * [taylor]: Taking taylor expansion of re in re 5.156 * [backup-simplify]: Simplify 0 into 0 5.156 * [backup-simplify]: Simplify 1 into 1 5.156 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.156 * [taylor]: Taking taylor expansion of im in re 5.156 * [backup-simplify]: Simplify im into im 5.156 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.156 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.157 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.157 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.157 * [backup-simplify]: Simplify (+ 0 0) into 0 5.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.157 * [taylor]: Taking taylor expansion of im in im 5.157 * [backup-simplify]: Simplify 0 into 0 5.157 * [backup-simplify]: Simplify 1 into 1 5.157 * [backup-simplify]: Simplify 0 into 0 5.157 * [taylor]: Taking taylor expansion of 0 in im 5.157 * [backup-simplify]: Simplify 0 into 0 5.157 * [backup-simplify]: Simplify 0 into 0 5.158 * [backup-simplify]: Simplify 1 into 1 5.158 * [backup-simplify]: Simplify (* 1 1) into 1 5.158 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.159 * [backup-simplify]: Simplify (+ 1 0) into 1 5.160 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.160 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.160 * [taylor]: Taking taylor expansion of 1/2 in im 5.160 * [backup-simplify]: Simplify 1/2 into 1/2 5.160 * [taylor]: Taking taylor expansion of im in im 5.160 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify 1 into 1 5.160 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.161 * [backup-simplify]: Simplify 0 into 0 5.161 * [backup-simplify]: Simplify 0 into 0 5.161 * [backup-simplify]: Simplify 0 into 0 5.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.163 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.163 * [backup-simplify]: Simplify (+ 0 0) into 0 5.163 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.163 * [taylor]: Taking taylor expansion of 0 in im 5.163 * [backup-simplify]: Simplify 0 into 0 5.163 * [backup-simplify]: Simplify 0 into 0 5.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.164 * [backup-simplify]: Simplify 0 into 0 5.164 * [backup-simplify]: Simplify 0 into 0 5.165 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.165 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.165 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.165 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.165 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.165 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.165 * [taylor]: Taking taylor expansion of im in im 5.165 * [backup-simplify]: Simplify 0 into 0 5.165 * [backup-simplify]: Simplify 1 into 1 5.166 * [backup-simplify]: Simplify (* 1 1) into 1 5.166 * [backup-simplify]: Simplify (/ 1 1) into 1 5.166 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.166 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.166 * [taylor]: Taking taylor expansion of re in im 5.166 * [backup-simplify]: Simplify re into re 5.166 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.166 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.167 * [backup-simplify]: Simplify (+ 1 0) into 1 5.167 * [backup-simplify]: Simplify (sqrt 1) into 1 5.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.169 * [backup-simplify]: Simplify (+ 0 0) into 0 5.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.170 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.170 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.170 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.170 * [taylor]: Taking taylor expansion of im in re 5.170 * [backup-simplify]: Simplify im into im 5.170 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.170 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.170 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.170 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.170 * [taylor]: Taking taylor expansion of re in re 5.170 * [backup-simplify]: Simplify 0 into 0 5.170 * [backup-simplify]: Simplify 1 into 1 5.171 * [backup-simplify]: Simplify (* 1 1) into 1 5.171 * [backup-simplify]: Simplify (/ 1 1) into 1 5.172 * [backup-simplify]: Simplify (+ 0 1) into 1 5.172 * [backup-simplify]: Simplify (sqrt 1) into 1 5.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.174 * [backup-simplify]: Simplify (+ 0 0) into 0 5.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.174 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.174 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.175 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.175 * [taylor]: Taking taylor expansion of im in re 5.175 * [backup-simplify]: Simplify im into im 5.175 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.175 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.175 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.175 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.175 * [taylor]: Taking taylor expansion of re in re 5.175 * [backup-simplify]: Simplify 0 into 0 5.175 * [backup-simplify]: Simplify 1 into 1 5.175 * [backup-simplify]: Simplify (* 1 1) into 1 5.176 * [backup-simplify]: Simplify (/ 1 1) into 1 5.176 * [backup-simplify]: Simplify (+ 0 1) into 1 5.177 * [backup-simplify]: Simplify (sqrt 1) into 1 5.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.178 * [backup-simplify]: Simplify (+ 0 0) into 0 5.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.179 * [taylor]: Taking taylor expansion of 1 in im 5.179 * [backup-simplify]: Simplify 1 into 1 5.179 * [taylor]: Taking taylor expansion of 0 in im 5.179 * [backup-simplify]: Simplify 0 into 0 5.179 * [backup-simplify]: Simplify 1 into 1 5.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.182 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.183 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.183 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.183 * [taylor]: Taking taylor expansion of 1/2 in im 5.183 * [backup-simplify]: Simplify 1/2 into 1/2 5.183 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.183 * [taylor]: Taking taylor expansion of im in im 5.183 * [backup-simplify]: Simplify 0 into 0 5.183 * [backup-simplify]: Simplify 1 into 1 5.184 * [backup-simplify]: Simplify (* 1 1) into 1 5.184 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.188 * [backup-simplify]: Simplify (+ 0 0) into 0 5.188 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.188 * [taylor]: Taking taylor expansion of 0 in im 5.188 * [backup-simplify]: Simplify 0 into 0 5.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.190 * [backup-simplify]: Simplify 0 into 0 5.190 * [backup-simplify]: Simplify 0 into 0 5.190 * [backup-simplify]: Simplify 0 into 0 5.190 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.190 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.190 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.190 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.190 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.190 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.190 * [taylor]: Taking taylor expansion of im in im 5.190 * [backup-simplify]: Simplify 0 into 0 5.190 * [backup-simplify]: Simplify 1 into 1 5.190 * [backup-simplify]: Simplify (* 1 1) into 1 5.190 * [backup-simplify]: Simplify (/ 1 1) into 1 5.191 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.191 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.191 * [taylor]: Taking taylor expansion of re in im 5.191 * [backup-simplify]: Simplify re into re 5.191 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.191 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.191 * [backup-simplify]: Simplify (+ 1 0) into 1 5.191 * [backup-simplify]: Simplify (sqrt 1) into 1 5.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.196 * [backup-simplify]: Simplify (+ 0 0) into 0 5.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.196 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.196 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.196 * [taylor]: Taking taylor expansion of im in re 5.196 * [backup-simplify]: Simplify im into im 5.196 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.197 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.197 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.197 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.197 * [taylor]: Taking taylor expansion of re in re 5.197 * [backup-simplify]: Simplify 0 into 0 5.197 * [backup-simplify]: Simplify 1 into 1 5.197 * [backup-simplify]: Simplify (* 1 1) into 1 5.197 * [backup-simplify]: Simplify (/ 1 1) into 1 5.197 * [backup-simplify]: Simplify (+ 0 1) into 1 5.198 * [backup-simplify]: Simplify (sqrt 1) into 1 5.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.199 * [backup-simplify]: Simplify (+ 0 0) into 0 5.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.199 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.199 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.199 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.199 * [taylor]: Taking taylor expansion of im in re 5.199 * [backup-simplify]: Simplify im into im 5.199 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.199 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.199 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.199 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.199 * [taylor]: Taking taylor expansion of re in re 5.199 * [backup-simplify]: Simplify 0 into 0 5.199 * [backup-simplify]: Simplify 1 into 1 5.200 * [backup-simplify]: Simplify (* 1 1) into 1 5.200 * [backup-simplify]: Simplify (/ 1 1) into 1 5.200 * [backup-simplify]: Simplify (+ 0 1) into 1 5.200 * [backup-simplify]: Simplify (sqrt 1) into 1 5.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.201 * [backup-simplify]: Simplify (+ 0 0) into 0 5.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.202 * [taylor]: Taking taylor expansion of 1 in im 5.202 * [backup-simplify]: Simplify 1 into 1 5.202 * [taylor]: Taking taylor expansion of 0 in im 5.202 * [backup-simplify]: Simplify 0 into 0 5.202 * [backup-simplify]: Simplify 1 into 1 5.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.203 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.204 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.204 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.204 * [taylor]: Taking taylor expansion of 1/2 in im 5.204 * [backup-simplify]: Simplify 1/2 into 1/2 5.204 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.204 * [taylor]: Taking taylor expansion of im in im 5.204 * [backup-simplify]: Simplify 0 into 0 5.204 * [backup-simplify]: Simplify 1 into 1 5.205 * [backup-simplify]: Simplify (* 1 1) into 1 5.205 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.206 * [backup-simplify]: Simplify 0 into 0 5.206 * [backup-simplify]: Simplify 0 into 0 5.206 * [backup-simplify]: Simplify 0 into 0 5.206 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.207 * [backup-simplify]: Simplify (+ 0 0) into 0 5.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.208 * [taylor]: Taking taylor expansion of 0 in im 5.208 * [backup-simplify]: Simplify 0 into 0 5.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.209 * [backup-simplify]: Simplify 0 into 0 5.209 * [backup-simplify]: Simplify 0 into 0 5.209 * [backup-simplify]: Simplify 0 into 0 5.209 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.209 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 5.209 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 5.209 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 5.209 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.209 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.209 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.209 * [taylor]: Taking taylor expansion of re in im 5.209 * [backup-simplify]: Simplify re into re 5.209 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.209 * [taylor]: Taking taylor expansion of im in im 5.209 * [backup-simplify]: Simplify 0 into 0 5.209 * [backup-simplify]: Simplify 1 into 1 5.209 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.210 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.210 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.210 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.210 * [backup-simplify]: Simplify (+ 0 0) into 0 5.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.210 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.210 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.210 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.210 * [taylor]: Taking taylor expansion of re in re 5.210 * [backup-simplify]: Simplify 0 into 0 5.210 * [backup-simplify]: Simplify 1 into 1 5.210 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.210 * [taylor]: Taking taylor expansion of im in re 5.210 * [backup-simplify]: Simplify im into im 5.210 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.210 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.210 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.210 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.211 * [backup-simplify]: Simplify (+ 0 0) into 0 5.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.211 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.211 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.211 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.211 * [taylor]: Taking taylor expansion of re in re 5.211 * [backup-simplify]: Simplify 0 into 0 5.211 * [backup-simplify]: Simplify 1 into 1 5.211 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.211 * [taylor]: Taking taylor expansion of im in re 5.211 * [backup-simplify]: Simplify im into im 5.211 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.211 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.211 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.211 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.212 * [backup-simplify]: Simplify (+ 0 0) into 0 5.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.212 * [taylor]: Taking taylor expansion of im in im 5.212 * [backup-simplify]: Simplify 0 into 0 5.212 * [backup-simplify]: Simplify 1 into 1 5.212 * [backup-simplify]: Simplify 0 into 0 5.212 * [taylor]: Taking taylor expansion of 0 in im 5.212 * [backup-simplify]: Simplify 0 into 0 5.212 * [backup-simplify]: Simplify 0 into 0 5.212 * [backup-simplify]: Simplify 1 into 1 5.212 * [backup-simplify]: Simplify (* 1 1) into 1 5.212 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.213 * [backup-simplify]: Simplify (+ 1 0) into 1 5.213 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.213 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.213 * [taylor]: Taking taylor expansion of 1/2 in im 5.213 * [backup-simplify]: Simplify 1/2 into 1/2 5.213 * [taylor]: Taking taylor expansion of im in im 5.213 * [backup-simplify]: Simplify 0 into 0 5.213 * [backup-simplify]: Simplify 1 into 1 5.213 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.214 * [backup-simplify]: Simplify 0 into 0 5.214 * [backup-simplify]: Simplify 0 into 0 5.214 * [backup-simplify]: Simplify 0 into 0 5.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.215 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.215 * [backup-simplify]: Simplify (+ 0 0) into 0 5.215 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.215 * [taylor]: Taking taylor expansion of 0 in im 5.215 * [backup-simplify]: Simplify 0 into 0 5.215 * [backup-simplify]: Simplify 0 into 0 5.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.216 * [backup-simplify]: Simplify 0 into 0 5.216 * [backup-simplify]: Simplify 0 into 0 5.216 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.216 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.216 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.216 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.216 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.216 * [taylor]: Taking taylor expansion of im in im 5.216 * [backup-simplify]: Simplify 0 into 0 5.216 * [backup-simplify]: Simplify 1 into 1 5.217 * [backup-simplify]: Simplify (* 1 1) into 1 5.217 * [backup-simplify]: Simplify (/ 1 1) into 1 5.217 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.217 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.217 * [taylor]: Taking taylor expansion of re in im 5.217 * [backup-simplify]: Simplify re into re 5.217 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.217 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.217 * [backup-simplify]: Simplify (+ 1 0) into 1 5.217 * [backup-simplify]: Simplify (sqrt 1) into 1 5.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.218 * [backup-simplify]: Simplify (+ 0 0) into 0 5.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.219 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.219 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.219 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.219 * [taylor]: Taking taylor expansion of im in re 5.219 * [backup-simplify]: Simplify im into im 5.219 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.219 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.219 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.219 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.219 * [taylor]: Taking taylor expansion of re in re 5.219 * [backup-simplify]: Simplify 0 into 0 5.219 * [backup-simplify]: Simplify 1 into 1 5.219 * [backup-simplify]: Simplify (* 1 1) into 1 5.220 * [backup-simplify]: Simplify (/ 1 1) into 1 5.220 * [backup-simplify]: Simplify (+ 0 1) into 1 5.220 * [backup-simplify]: Simplify (sqrt 1) into 1 5.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.221 * [backup-simplify]: Simplify (+ 0 0) into 0 5.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.222 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.222 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.222 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.222 * [taylor]: Taking taylor expansion of im in re 5.222 * [backup-simplify]: Simplify im into im 5.222 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.222 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.222 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.222 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.222 * [taylor]: Taking taylor expansion of re in re 5.222 * [backup-simplify]: Simplify 0 into 0 5.222 * [backup-simplify]: Simplify 1 into 1 5.222 * [backup-simplify]: Simplify (* 1 1) into 1 5.222 * [backup-simplify]: Simplify (/ 1 1) into 1 5.223 * [backup-simplify]: Simplify (+ 0 1) into 1 5.223 * [backup-simplify]: Simplify (sqrt 1) into 1 5.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.224 * [backup-simplify]: Simplify (+ 0 0) into 0 5.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.224 * [taylor]: Taking taylor expansion of 1 in im 5.224 * [backup-simplify]: Simplify 1 into 1 5.224 * [taylor]: Taking taylor expansion of 0 in im 5.224 * [backup-simplify]: Simplify 0 into 0 5.224 * [backup-simplify]: Simplify 1 into 1 5.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.226 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.226 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.226 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.227 * [taylor]: Taking taylor expansion of 1/2 in im 5.227 * [backup-simplify]: Simplify 1/2 into 1/2 5.227 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.227 * [taylor]: Taking taylor expansion of im in im 5.227 * [backup-simplify]: Simplify 0 into 0 5.227 * [backup-simplify]: Simplify 1 into 1 5.227 * [backup-simplify]: Simplify (* 1 1) into 1 5.227 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.228 * [backup-simplify]: Simplify 0 into 0 5.228 * [backup-simplify]: Simplify 0 into 0 5.228 * [backup-simplify]: Simplify 0 into 0 5.228 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.230 * [backup-simplify]: Simplify (+ 0 0) into 0 5.230 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.230 * [taylor]: Taking taylor expansion of 0 in im 5.230 * [backup-simplify]: Simplify 0 into 0 5.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.231 * [backup-simplify]: Simplify 0 into 0 5.231 * [backup-simplify]: Simplify 0 into 0 5.231 * [backup-simplify]: Simplify 0 into 0 5.231 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.231 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.231 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.231 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.231 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.231 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.231 * [taylor]: Taking taylor expansion of im in im 5.232 * [backup-simplify]: Simplify 0 into 0 5.232 * [backup-simplify]: Simplify 1 into 1 5.232 * [backup-simplify]: Simplify (* 1 1) into 1 5.232 * [backup-simplify]: Simplify (/ 1 1) into 1 5.232 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.232 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.232 * [taylor]: Taking taylor expansion of re in im 5.232 * [backup-simplify]: Simplify re into re 5.232 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.232 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.232 * [backup-simplify]: Simplify (+ 1 0) into 1 5.233 * [backup-simplify]: Simplify (sqrt 1) into 1 5.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.234 * [backup-simplify]: Simplify (+ 0 0) into 0 5.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.234 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.234 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.234 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.234 * [taylor]: Taking taylor expansion of im in re 5.234 * [backup-simplify]: Simplify im into im 5.234 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.234 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.234 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.234 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.234 * [taylor]: Taking taylor expansion of re in re 5.235 * [backup-simplify]: Simplify 0 into 0 5.235 * [backup-simplify]: Simplify 1 into 1 5.235 * [backup-simplify]: Simplify (* 1 1) into 1 5.235 * [backup-simplify]: Simplify (/ 1 1) into 1 5.235 * [backup-simplify]: Simplify (+ 0 1) into 1 5.235 * [backup-simplify]: Simplify (sqrt 1) into 1 5.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.236 * [backup-simplify]: Simplify (+ 0 0) into 0 5.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.237 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.237 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.237 * [taylor]: Taking taylor expansion of im in re 5.237 * [backup-simplify]: Simplify im into im 5.237 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.237 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.237 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.237 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.237 * [taylor]: Taking taylor expansion of re in re 5.237 * [backup-simplify]: Simplify 0 into 0 5.237 * [backup-simplify]: Simplify 1 into 1 5.237 * [backup-simplify]: Simplify (* 1 1) into 1 5.238 * [backup-simplify]: Simplify (/ 1 1) into 1 5.238 * [backup-simplify]: Simplify (+ 0 1) into 1 5.238 * [backup-simplify]: Simplify (sqrt 1) into 1 5.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.239 * [backup-simplify]: Simplify (+ 0 0) into 0 5.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.240 * [taylor]: Taking taylor expansion of 1 in im 5.240 * [backup-simplify]: Simplify 1 into 1 5.240 * [taylor]: Taking taylor expansion of 0 in im 5.240 * [backup-simplify]: Simplify 0 into 0 5.240 * [backup-simplify]: Simplify 1 into 1 5.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.241 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.242 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.242 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.242 * [taylor]: Taking taylor expansion of 1/2 in im 5.242 * [backup-simplify]: Simplify 1/2 into 1/2 5.242 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.242 * [taylor]: Taking taylor expansion of im in im 5.242 * [backup-simplify]: Simplify 0 into 0 5.242 * [backup-simplify]: Simplify 1 into 1 5.243 * [backup-simplify]: Simplify (* 1 1) into 1 5.243 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.244 * [backup-simplify]: Simplify 0 into 0 5.244 * [backup-simplify]: Simplify 0 into 0 5.244 * [backup-simplify]: Simplify 0 into 0 5.244 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.245 * [backup-simplify]: Simplify (+ 0 0) into 0 5.246 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.246 * [taylor]: Taking taylor expansion of 0 in im 5.246 * [backup-simplify]: Simplify 0 into 0 5.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.247 * [backup-simplify]: Simplify 0 into 0 5.247 * [backup-simplify]: Simplify 0 into 0 5.247 * [backup-simplify]: Simplify 0 into 0 5.247 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.247 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 5.247 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 5.247 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 5.247 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.247 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.247 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.247 * [taylor]: Taking taylor expansion of re in im 5.247 * [backup-simplify]: Simplify re into re 5.247 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.247 * [taylor]: Taking taylor expansion of im in im 5.247 * [backup-simplify]: Simplify 0 into 0 5.247 * [backup-simplify]: Simplify 1 into 1 5.247 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.248 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.248 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.248 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.248 * [backup-simplify]: Simplify (+ 0 0) into 0 5.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.248 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.248 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.248 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.248 * [taylor]: Taking taylor expansion of re in re 5.248 * [backup-simplify]: Simplify 0 into 0 5.248 * [backup-simplify]: Simplify 1 into 1 5.248 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.248 * [taylor]: Taking taylor expansion of im in re 5.248 * [backup-simplify]: Simplify im into im 5.248 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.248 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.248 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.249 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.249 * [backup-simplify]: Simplify (+ 0 0) into 0 5.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.249 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.249 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.249 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.249 * [taylor]: Taking taylor expansion of re in re 5.249 * [backup-simplify]: Simplify 0 into 0 5.249 * [backup-simplify]: Simplify 1 into 1 5.249 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.249 * [taylor]: Taking taylor expansion of im in re 5.249 * [backup-simplify]: Simplify im into im 5.249 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.249 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.249 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.249 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.250 * [backup-simplify]: Simplify (+ 0 0) into 0 5.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.250 * [taylor]: Taking taylor expansion of im in im 5.250 * [backup-simplify]: Simplify 0 into 0 5.250 * [backup-simplify]: Simplify 1 into 1 5.250 * [backup-simplify]: Simplify 0 into 0 5.250 * [taylor]: Taking taylor expansion of 0 in im 5.250 * [backup-simplify]: Simplify 0 into 0 5.250 * [backup-simplify]: Simplify 0 into 0 5.250 * [backup-simplify]: Simplify 1 into 1 5.250 * [backup-simplify]: Simplify (* 1 1) into 1 5.250 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.251 * [backup-simplify]: Simplify (+ 1 0) into 1 5.251 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.251 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.251 * [taylor]: Taking taylor expansion of 1/2 in im 5.251 * [backup-simplify]: Simplify 1/2 into 1/2 5.251 * [taylor]: Taking taylor expansion of im in im 5.251 * [backup-simplify]: Simplify 0 into 0 5.251 * [backup-simplify]: Simplify 1 into 1 5.251 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.252 * [backup-simplify]: Simplify 0 into 0 5.252 * [backup-simplify]: Simplify 0 into 0 5.252 * [backup-simplify]: Simplify 0 into 0 5.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.253 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.253 * [backup-simplify]: Simplify (+ 0 0) into 0 5.253 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.253 * [taylor]: Taking taylor expansion of 0 in im 5.253 * [backup-simplify]: Simplify 0 into 0 5.253 * [backup-simplify]: Simplify 0 into 0 5.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.254 * [backup-simplify]: Simplify 0 into 0 5.254 * [backup-simplify]: Simplify 0 into 0 5.254 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.254 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.254 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.254 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.254 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.254 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.254 * [taylor]: Taking taylor expansion of im in im 5.254 * [backup-simplify]: Simplify 0 into 0 5.254 * [backup-simplify]: Simplify 1 into 1 5.255 * [backup-simplify]: Simplify (* 1 1) into 1 5.255 * [backup-simplify]: Simplify (/ 1 1) into 1 5.255 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.255 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.255 * [taylor]: Taking taylor expansion of re in im 5.255 * [backup-simplify]: Simplify re into re 5.255 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.255 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.255 * [backup-simplify]: Simplify (+ 1 0) into 1 5.255 * [backup-simplify]: Simplify (sqrt 1) into 1 5.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.257 * [backup-simplify]: Simplify (+ 0 0) into 0 5.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.257 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.257 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.257 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.257 * [taylor]: Taking taylor expansion of im in re 5.257 * [backup-simplify]: Simplify im into im 5.257 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.257 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.257 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.257 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.257 * [taylor]: Taking taylor expansion of re in re 5.257 * [backup-simplify]: Simplify 0 into 0 5.257 * [backup-simplify]: Simplify 1 into 1 5.258 * [backup-simplify]: Simplify (* 1 1) into 1 5.258 * [backup-simplify]: Simplify (/ 1 1) into 1 5.258 * [backup-simplify]: Simplify (+ 0 1) into 1 5.258 * [backup-simplify]: Simplify (sqrt 1) into 1 5.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.259 * [backup-simplify]: Simplify (+ 0 0) into 0 5.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.260 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.260 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.260 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.260 * [taylor]: Taking taylor expansion of im in re 5.260 * [backup-simplify]: Simplify im into im 5.260 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.260 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.260 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.260 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.260 * [taylor]: Taking taylor expansion of re in re 5.260 * [backup-simplify]: Simplify 0 into 0 5.260 * [backup-simplify]: Simplify 1 into 1 5.260 * [backup-simplify]: Simplify (* 1 1) into 1 5.261 * [backup-simplify]: Simplify (/ 1 1) into 1 5.261 * [backup-simplify]: Simplify (+ 0 1) into 1 5.261 * [backup-simplify]: Simplify (sqrt 1) into 1 5.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.262 * [backup-simplify]: Simplify (+ 0 0) into 0 5.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.263 * [taylor]: Taking taylor expansion of 1 in im 5.263 * [backup-simplify]: Simplify 1 into 1 5.263 * [taylor]: Taking taylor expansion of 0 in im 5.263 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify 1 into 1 5.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.264 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.265 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.265 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.265 * [taylor]: Taking taylor expansion of 1/2 in im 5.265 * [backup-simplify]: Simplify 1/2 into 1/2 5.265 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.265 * [taylor]: Taking taylor expansion of im in im 5.265 * [backup-simplify]: Simplify 0 into 0 5.265 * [backup-simplify]: Simplify 1 into 1 5.265 * [backup-simplify]: Simplify (* 1 1) into 1 5.265 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.266 * [backup-simplify]: Simplify 0 into 0 5.266 * [backup-simplify]: Simplify 0 into 0 5.266 * [backup-simplify]: Simplify 0 into 0 5.266 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.268 * [backup-simplify]: Simplify (+ 0 0) into 0 5.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.268 * [taylor]: Taking taylor expansion of 0 in im 5.268 * [backup-simplify]: Simplify 0 into 0 5.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.270 * [backup-simplify]: Simplify 0 into 0 5.270 * [backup-simplify]: Simplify 0 into 0 5.270 * [backup-simplify]: Simplify 0 into 0 5.270 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.270 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.270 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.270 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.270 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.270 * [taylor]: Taking taylor expansion of im in im 5.270 * [backup-simplify]: Simplify 0 into 0 5.270 * [backup-simplify]: Simplify 1 into 1 5.270 * [backup-simplify]: Simplify (* 1 1) into 1 5.271 * [backup-simplify]: Simplify (/ 1 1) into 1 5.271 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.271 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.271 * [taylor]: Taking taylor expansion of re in im 5.271 * [backup-simplify]: Simplify re into re 5.271 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.271 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.271 * [backup-simplify]: Simplify (+ 1 0) into 1 5.271 * [backup-simplify]: Simplify (sqrt 1) into 1 5.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.272 * [backup-simplify]: Simplify (+ 0 0) into 0 5.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.273 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.273 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.273 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.273 * [taylor]: Taking taylor expansion of im in re 5.273 * [backup-simplify]: Simplify im into im 5.273 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.273 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.273 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.273 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.273 * [taylor]: Taking taylor expansion of re in re 5.273 * [backup-simplify]: Simplify 0 into 0 5.273 * [backup-simplify]: Simplify 1 into 1 5.273 * [backup-simplify]: Simplify (* 1 1) into 1 5.274 * [backup-simplify]: Simplify (/ 1 1) into 1 5.274 * [backup-simplify]: Simplify (+ 0 1) into 1 5.274 * [backup-simplify]: Simplify (sqrt 1) into 1 5.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.275 * [backup-simplify]: Simplify (+ 0 0) into 0 5.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.276 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.276 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.276 * [taylor]: Taking taylor expansion of im in re 5.276 * [backup-simplify]: Simplify im into im 5.276 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.276 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.276 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.276 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.276 * [taylor]: Taking taylor expansion of re in re 5.276 * [backup-simplify]: Simplify 0 into 0 5.276 * [backup-simplify]: Simplify 1 into 1 5.276 * [backup-simplify]: Simplify (* 1 1) into 1 5.276 * [backup-simplify]: Simplify (/ 1 1) into 1 5.277 * [backup-simplify]: Simplify (+ 0 1) into 1 5.277 * [backup-simplify]: Simplify (sqrt 1) into 1 5.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.278 * [backup-simplify]: Simplify (+ 0 0) into 0 5.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.278 * [taylor]: Taking taylor expansion of 1 in im 5.278 * [backup-simplify]: Simplify 1 into 1 5.278 * [taylor]: Taking taylor expansion of 0 in im 5.278 * [backup-simplify]: Simplify 0 into 0 5.279 * [backup-simplify]: Simplify 1 into 1 5.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.280 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.281 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.281 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.281 * [taylor]: Taking taylor expansion of 1/2 in im 5.281 * [backup-simplify]: Simplify 1/2 into 1/2 5.281 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.281 * [taylor]: Taking taylor expansion of im in im 5.281 * [backup-simplify]: Simplify 0 into 0 5.281 * [backup-simplify]: Simplify 1 into 1 5.281 * [backup-simplify]: Simplify (* 1 1) into 1 5.281 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.282 * [backup-simplify]: Simplify 0 into 0 5.282 * [backup-simplify]: Simplify 0 into 0 5.282 * [backup-simplify]: Simplify 0 into 0 5.282 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.284 * [backup-simplify]: Simplify (+ 0 0) into 0 5.284 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.284 * [taylor]: Taking taylor expansion of 0 in im 5.284 * [backup-simplify]: Simplify 0 into 0 5.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.285 * [backup-simplify]: Simplify 0 into 0 5.285 * [backup-simplify]: Simplify 0 into 0 5.285 * [backup-simplify]: Simplify 0 into 0 5.285 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.285 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 5.286 * [backup-simplify]: Simplify (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))) into (pow (+ (pow re 2) (pow im 2)) 1/6) 5.286 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/6) in (re im) around 0 5.286 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/6) in im 5.286 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow re 2) (pow im 2))))) in im 5.286 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow re 2) (pow im 2)))) in im 5.286 * [taylor]: Taking taylor expansion of 1/6 in im 5.286 * [backup-simplify]: Simplify 1/6 into 1/6 5.286 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 5.286 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.286 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.286 * [taylor]: Taking taylor expansion of re in im 5.286 * [backup-simplify]: Simplify re into re 5.286 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.286 * [taylor]: Taking taylor expansion of im in im 5.286 * [backup-simplify]: Simplify 0 into 0 5.286 * [backup-simplify]: Simplify 1 into 1 5.286 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.286 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.286 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 5.286 * [backup-simplify]: Simplify (* 1/6 (log (pow re 2))) into (* 1/6 (log (pow re 2))) 5.286 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow re 2)))) into (pow (pow re 2) 1/6) 5.286 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/6) in re 5.286 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow re 2) (pow im 2))))) in re 5.286 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow re 2) (pow im 2)))) in re 5.286 * [taylor]: Taking taylor expansion of 1/6 in re 5.286 * [backup-simplify]: Simplify 1/6 into 1/6 5.287 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 5.287 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.287 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.287 * [taylor]: Taking taylor expansion of re in re 5.287 * [backup-simplify]: Simplify 0 into 0 5.287 * [backup-simplify]: Simplify 1 into 1 5.287 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.287 * [taylor]: Taking taylor expansion of im in re 5.287 * [backup-simplify]: Simplify im into im 5.287 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.287 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.287 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 5.287 * [backup-simplify]: Simplify (* 1/6 (log (pow im 2))) into (* 1/6 (log (pow im 2))) 5.287 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow im 2)))) into (pow (pow im 2) 1/6) 5.287 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/6) in re 5.287 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow re 2) (pow im 2))))) in re 5.287 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow re 2) (pow im 2)))) in re 5.287 * [taylor]: Taking taylor expansion of 1/6 in re 5.287 * [backup-simplify]: Simplify 1/6 into 1/6 5.287 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 5.287 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.287 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.287 * [taylor]: Taking taylor expansion of re in re 5.287 * [backup-simplify]: Simplify 0 into 0 5.287 * [backup-simplify]: Simplify 1 into 1 5.287 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.287 * [taylor]: Taking taylor expansion of im in re 5.287 * [backup-simplify]: Simplify im into im 5.287 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.287 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.288 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 5.288 * [backup-simplify]: Simplify (* 1/6 (log (pow im 2))) into (* 1/6 (log (pow im 2))) 5.288 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow im 2)))) into (pow (pow im 2) 1/6) 5.288 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/6) in im 5.288 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (pow im 2)))) in im 5.288 * [taylor]: Taking taylor expansion of (* 1/6 (log (pow im 2))) in im 5.288 * [taylor]: Taking taylor expansion of 1/6 in im 5.288 * [backup-simplify]: Simplify 1/6 into 1/6 5.288 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 5.288 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.288 * [taylor]: Taking taylor expansion of im in im 5.288 * [backup-simplify]: Simplify 0 into 0 5.288 * [backup-simplify]: Simplify 1 into 1 5.291 * [backup-simplify]: Simplify (* 1 1) into 1 5.292 * [backup-simplify]: Simplify (log 1) into 0 5.292 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 5.292 * [backup-simplify]: Simplify (* 1/6 (* 2 (log im))) into (* 1/3 (log im)) 5.292 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 5.292 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3) 5.293 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.293 * [backup-simplify]: Simplify (+ 0 0) into 0 5.293 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 5.294 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (pow im 2)))) into 0 5.294 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 5.295 * [taylor]: Taking taylor expansion of 0 in im 5.295 * [backup-simplify]: Simplify 0 into 0 5.295 * [backup-simplify]: Simplify 0 into 0 5.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.296 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.296 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 5.297 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (* 2 (log im)))) into 0 5.297 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 5.297 * [backup-simplify]: Simplify 0 into 0 5.297 * [backup-simplify]: Simplify (* 1 1) into 1 5.298 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.298 * [backup-simplify]: Simplify (+ 1 0) into 1 5.299 * [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)) 5.300 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/6 (/ 1 (pow im 2))) 5.300 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 5.301 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 5.301 * [taylor]: Taking taylor expansion of 1/6 in im 5.301 * [backup-simplify]: Simplify 1/6 into 1/6 5.301 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 5.301 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 5.301 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 5.301 * [taylor]: Taking taylor expansion of 1/3 in im 5.301 * [backup-simplify]: Simplify 1/3 into 1/3 5.301 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 5.301 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 5.301 * [taylor]: Taking taylor expansion of (pow im 5) in im 5.301 * [taylor]: Taking taylor expansion of im in im 5.301 * [backup-simplify]: Simplify 0 into 0 5.301 * [backup-simplify]: Simplify 1 into 1 5.301 * [backup-simplify]: Simplify (* 1 1) into 1 5.301 * [backup-simplify]: Simplify (* 1 1) into 1 5.301 * [backup-simplify]: Simplify (* 1 1) into 1 5.302 * [backup-simplify]: Simplify (/ 1 1) into 1 5.302 * [backup-simplify]: Simplify (log 1) into 0 5.302 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 5.302 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im)) 5.303 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3) 5.303 * [backup-simplify]: Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 5.303 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 5.303 * [backup-simplify]: Simplify 0 into 0 5.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.305 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.305 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 5.306 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 5.307 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.307 * [backup-simplify]: Simplify 0 into 0 5.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.308 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.308 * [backup-simplify]: Simplify (+ 0 0) into 0 5.310 * [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 5.311 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 5.312 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.312 * [taylor]: Taking taylor expansion of 0 in im 5.312 * [backup-simplify]: Simplify 0 into 0 5.312 * [backup-simplify]: Simplify 0 into 0 5.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.315 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.315 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 5.315 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0 5.316 * [backup-simplify]: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 5.316 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0 5.316 * [backup-simplify]: Simplify 0 into 0 5.316 * [backup-simplify]: Simplify 0 into 0 5.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.320 * [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 5.320 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 5.321 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 5.322 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.322 * [backup-simplify]: Simplify 0 into 0 5.322 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) (pow (* 1 re) 2)) (pow im 1/3)) into (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) 5.322 * [backup-simplify]: Simplify (exp (log (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) 5.322 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in (re im) around 0 5.322 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in im 5.322 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 5.322 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 5.322 * [taylor]: Taking taylor expansion of 1/6 in im 5.322 * [backup-simplify]: Simplify 1/6 into 1/6 5.322 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.323 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.323 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.323 * [taylor]: Taking taylor expansion of im in im 5.323 * [backup-simplify]: Simplify 0 into 0 5.323 * [backup-simplify]: Simplify 1 into 1 5.323 * [backup-simplify]: Simplify (* 1 1) into 1 5.323 * [backup-simplify]: Simplify (/ 1 1) into 1 5.323 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.323 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.323 * [taylor]: Taking taylor expansion of re in im 5.323 * [backup-simplify]: Simplify re into re 5.323 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.323 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.324 * [backup-simplify]: Simplify (+ 1 0) into 1 5.324 * [backup-simplify]: Simplify (log 1) into 0 5.324 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 5.324 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log im)))) into (* -1/3 (log im)) 5.324 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 5.324 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in re 5.324 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 5.324 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 5.324 * [taylor]: Taking taylor expansion of 1/6 in re 5.324 * [backup-simplify]: Simplify 1/6 into 1/6 5.324 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.324 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.324 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.324 * [taylor]: Taking taylor expansion of im in re 5.324 * [backup-simplify]: Simplify im into im 5.324 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.325 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.325 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.325 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.325 * [taylor]: Taking taylor expansion of re in re 5.325 * [backup-simplify]: Simplify 0 into 0 5.325 * [backup-simplify]: Simplify 1 into 1 5.325 * [backup-simplify]: Simplify (* 1 1) into 1 5.325 * [backup-simplify]: Simplify (/ 1 1) into 1 5.325 * [backup-simplify]: Simplify (+ 0 1) into 1 5.326 * [backup-simplify]: Simplify (log 1) into 0 5.326 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 5.326 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 5.326 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 5.326 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in re 5.326 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 5.326 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 5.326 * [taylor]: Taking taylor expansion of 1/6 in re 5.326 * [backup-simplify]: Simplify 1/6 into 1/6 5.326 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.326 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.326 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.326 * [taylor]: Taking taylor expansion of im in re 5.326 * [backup-simplify]: Simplify im into im 5.326 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.326 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.326 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.326 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.326 * [taylor]: Taking taylor expansion of re in re 5.326 * [backup-simplify]: Simplify 0 into 0 5.326 * [backup-simplify]: Simplify 1 into 1 5.327 * [backup-simplify]: Simplify (* 1 1) into 1 5.327 * [backup-simplify]: Simplify (/ 1 1) into 1 5.327 * [backup-simplify]: Simplify (+ 0 1) into 1 5.327 * [backup-simplify]: Simplify (log 1) into 0 5.328 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 5.328 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 5.328 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 5.328 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 5.328 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 5.328 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 5.328 * [taylor]: Taking taylor expansion of -1/3 in im 5.328 * [backup-simplify]: Simplify -1/3 into -1/3 5.328 * [taylor]: Taking taylor expansion of (log re) in im 5.328 * [taylor]: Taking taylor expansion of re in im 5.328 * [backup-simplify]: Simplify re into re 5.328 * [backup-simplify]: Simplify (log re) into (log re) 5.328 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 5.328 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 5.328 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 5.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.329 * [backup-simplify]: Simplify (+ 0 0) into 0 5.330 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.330 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 5.331 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log re))))) into 0 5.331 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 5.331 * [taylor]: Taking taylor expansion of 0 in im 5.331 * [backup-simplify]: Simplify 0 into 0 5.331 * [backup-simplify]: Simplify 0 into 0 5.332 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 5.333 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 5.334 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 5.334 * [backup-simplify]: Simplify 0 into 0 5.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.336 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.338 * [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)) 5.339 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 5.339 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/6 (/ 1 (pow im 2))) 5.341 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 5.341 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 5.341 * [taylor]: Taking taylor expansion of 1/6 in im 5.341 * [backup-simplify]: Simplify 1/6 into 1/6 5.341 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 5.341 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 5.341 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 5.341 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 5.341 * [taylor]: Taking taylor expansion of 1/3 in im 5.341 * [backup-simplify]: Simplify 1/3 into 1/3 5.341 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 5.341 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.341 * [taylor]: Taking taylor expansion of re in im 5.341 * [backup-simplify]: Simplify re into re 5.341 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.341 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 5.341 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 5.341 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 5.341 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.341 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.341 * [taylor]: Taking taylor expansion of im in im 5.341 * [backup-simplify]: Simplify 0 into 0 5.341 * [backup-simplify]: Simplify 1 into 1 5.342 * [backup-simplify]: Simplify (* 1 1) into 1 5.342 * [backup-simplify]: Simplify (/ 1 1) into 1 5.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 5.346 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 5.347 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 5.348 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 5.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 5.350 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 5.351 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 5.353 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.354 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 5.354 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 5.355 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 5.356 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 5.356 * [backup-simplify]: Simplify 0 into 0 5.356 * [backup-simplify]: Simplify 0 into 0 5.358 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 5.359 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 5.360 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.360 * [backup-simplify]: Simplify 0 into 0 5.360 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.363 * [backup-simplify]: Simplify (+ 0 0) into 0 5.367 * [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 5.367 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 5.368 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 5.371 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.371 * [taylor]: Taking taylor expansion of 0 in im 5.371 * [backup-simplify]: Simplify 0 into 0 5.371 * [backup-simplify]: Simplify 0 into 0 5.371 * [backup-simplify]: Simplify (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3) 5.372 * [backup-simplify]: Simplify (exp (log (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) 5.372 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in (re im) around 0 5.372 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in im 5.372 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 5.372 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 5.372 * [taylor]: Taking taylor expansion of 1/6 in im 5.372 * [backup-simplify]: Simplify 1/6 into 1/6 5.372 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.372 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.372 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.372 * [taylor]: Taking taylor expansion of im in im 5.372 * [backup-simplify]: Simplify 0 into 0 5.372 * [backup-simplify]: Simplify 1 into 1 5.373 * [backup-simplify]: Simplify (* 1 1) into 1 5.373 * [backup-simplify]: Simplify (/ 1 1) into 1 5.373 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.373 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.373 * [taylor]: Taking taylor expansion of re in im 5.373 * [backup-simplify]: Simplify re into re 5.373 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.373 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.374 * [backup-simplify]: Simplify (+ 1 0) into 1 5.374 * [backup-simplify]: Simplify (log 1) into 0 5.375 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 5.375 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log im)))) into (* -1/3 (log im)) 5.375 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 5.375 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in re 5.375 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 5.375 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 5.375 * [taylor]: Taking taylor expansion of 1/6 in re 5.375 * [backup-simplify]: Simplify 1/6 into 1/6 5.375 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.375 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.375 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.375 * [taylor]: Taking taylor expansion of im in re 5.375 * [backup-simplify]: Simplify im into im 5.375 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.376 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.376 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.376 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.376 * [taylor]: Taking taylor expansion of re in re 5.376 * [backup-simplify]: Simplify 0 into 0 5.376 * [backup-simplify]: Simplify 1 into 1 5.376 * [backup-simplify]: Simplify (* 1 1) into 1 5.377 * [backup-simplify]: Simplify (/ 1 1) into 1 5.377 * [backup-simplify]: Simplify (+ 0 1) into 1 5.377 * [backup-simplify]: Simplify (log 1) into 0 5.378 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 5.378 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 5.378 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 5.378 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in re 5.378 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 5.378 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 5.378 * [taylor]: Taking taylor expansion of 1/6 in re 5.378 * [backup-simplify]: Simplify 1/6 into 1/6 5.378 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.378 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.378 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.378 * [taylor]: Taking taylor expansion of im in re 5.379 * [backup-simplify]: Simplify im into im 5.379 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.379 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.379 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.379 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.379 * [taylor]: Taking taylor expansion of re in re 5.379 * [backup-simplify]: Simplify 0 into 0 5.379 * [backup-simplify]: Simplify 1 into 1 5.379 * [backup-simplify]: Simplify (* 1 1) into 1 5.380 * [backup-simplify]: Simplify (/ 1 1) into 1 5.380 * [backup-simplify]: Simplify (+ 0 1) into 1 5.381 * [backup-simplify]: Simplify (log 1) into 0 5.381 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 5.381 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 5.381 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 5.381 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 5.381 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 5.381 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 5.381 * [taylor]: Taking taylor expansion of -1/3 in im 5.382 * [backup-simplify]: Simplify -1/3 into -1/3 5.382 * [taylor]: Taking taylor expansion of (log re) in im 5.382 * [taylor]: Taking taylor expansion of re in im 5.382 * [backup-simplify]: Simplify re into re 5.382 * [backup-simplify]: Simplify (log re) into (log re) 5.382 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 5.382 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 5.382 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 5.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.384 * [backup-simplify]: Simplify (+ 0 0) into 0 5.385 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.386 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 5.386 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log re))))) into 0 5.387 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 5.388 * [taylor]: Taking taylor expansion of 0 in im 5.388 * [backup-simplify]: Simplify 0 into 0 5.388 * [backup-simplify]: Simplify 0 into 0 5.388 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 5.389 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 5.390 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 5.390 * [backup-simplify]: Simplify 0 into 0 5.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.392 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.394 * [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)) 5.395 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 5.396 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/6 (/ 1 (pow im 2))) 5.397 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 5.397 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 5.397 * [taylor]: Taking taylor expansion of 1/6 in im 5.397 * [backup-simplify]: Simplify 1/6 into 1/6 5.397 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 5.397 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 5.397 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 5.397 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 5.397 * [taylor]: Taking taylor expansion of 1/3 in im 5.397 * [backup-simplify]: Simplify 1/3 into 1/3 5.397 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 5.397 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.397 * [taylor]: Taking taylor expansion of re in im 5.397 * [backup-simplify]: Simplify re into re 5.397 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.397 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 5.398 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 5.398 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 5.398 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.398 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.398 * [taylor]: Taking taylor expansion of im in im 5.398 * [backup-simplify]: Simplify 0 into 0 5.398 * [backup-simplify]: Simplify 1 into 1 5.398 * [backup-simplify]: Simplify (* 1 1) into 1 5.399 * [backup-simplify]: Simplify (/ 1 1) into 1 5.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 5.403 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 5.404 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 5.405 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 5.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 5.407 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 5.408 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 5.410 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.411 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 5.411 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 5.411 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 5.412 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 5.413 * [backup-simplify]: Simplify 0 into 0 5.413 * [backup-simplify]: Simplify 0 into 0 5.415 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 5.416 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 5.417 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.417 * [backup-simplify]: Simplify 0 into 0 5.417 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.420 * [backup-simplify]: Simplify (+ 0 0) into 0 5.430 * [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 5.432 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 5.433 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 5.436 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.436 * [taylor]: Taking taylor expansion of 0 in im 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify 0 into 0 5.437 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3) 5.437 * * * [progress]: simplifying candidates 5.439 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp 1/3) (exp 1) (exp (* (cbrt (log (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (log (cbrt (sqrt (+ (* re re) (* im im)))))))) (exp (sqrt (log (cbrt (sqrt (+ (* re re) (* im im))))))) (exp 1) (exp (log (cbrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))) (exp (log (cbrt (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))) (exp (log (cbrt (sqrt (cbrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt 1)))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))) (exp (log (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt 1))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))) (exp (log (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) (exp (log (cbrt (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log 1)) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))) (exp (log (cbrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))) (exp (log (cbrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) (exp (log (cbrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))) (exp (log (cbrt (sqrt (- (* re re) (* im im)))))) (log (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) (* (cbrt (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))))) (cbrt (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) (* (* (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) im re (* -1 re) im re (* -1 re) im re (* -1 re) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 5.442 * * [simplify]: Extracting # 0 : cost 0 5.442 * * [simplify]: Extracting # 1 : cost 0 5.442 * * [simplify]: Extracting # 2 : cost 0 5.442 * * [simplify]: Extracting # 3 : cost 0 5.443 * * [simplify]: Extracting # 4 : cost 0 5.443 * * [simplify]: Extracting # 5 : cost 0 5.443 * * [simplify]: Extracting # 6 : cost 0 5.443 * * [simplify]: Extracting # 7 : cost 0 5.444 * * [simplify]: Extracting # 8 : cost 0 5.444 * * [simplify]: Extracting # 9 : cost 0 5.444 * * [simplify]: Extracting # 10 : cost 0 5.445 * * [simplify]: iteration 0 : 111 enodes (cost 1119 ) 5.483 * * [simplify]: Extracting # 0 : cost 0 5.483 * * [simplify]: Extracting # 1 : cost 0 5.484 * * [simplify]: Extracting # 2 : cost 0 5.484 * * [simplify]: Extracting # 3 : cost 0 5.484 * * [simplify]: Extracting # 4 : cost 0 5.484 * * [simplify]: Extracting # 5 : cost 0 5.484 * * [simplify]: iteration 1 : 196 enodes (cost 954 ) 5.532 * * [simplify]: Extracting # 0 : cost 0 5.532 * * [simplify]: Extracting # 1 : cost 0 5.532 * * [simplify]: Extracting # 2 : cost 0 5.536 * * [simplify]: Extracting # 3 : cost 0 5.537 * * [simplify]: Extracting # 4 : cost 0 5.537 * * [simplify]: Extracting # 5 : cost 0 5.538 * * [simplify]: iteration 2 : 378 enodes (cost 824 ) 5.651 * * [simplify]: Extracting # 0 : cost 0 5.653 * * [simplify]: Extracting # 1 : cost 0 5.654 * * [simplify]: Extracting # 2 : cost 0 5.656 * * [simplify]: Extracting # 3 : cost 0 5.657 * * [simplify]: Extracting # 4 : cost 0 5.659 * * [simplify]: iteration 3 : 754 enodes (cost 813 ) 6.087 * * [simplify]: Extracting # 0 : cost 0 6.089 * * [simplify]: Extracting # 1 : cost 0 6.092 * * [simplify]: Extracting # 2 : cost 0 6.096 * * [simplify]: Extracting # 3 : cost 0 6.100 * * [simplify]: Extracting # 4 : cost 0 6.103 * * [simplify]: iteration 4 : 1957 enodes (cost 801 ) 7.198 * * [simplify]: Extracting # 0 : cost 0 7.205 * * [simplify]: Extracting # 1 : cost 0 7.211 * * [simplify]: Extracting # 2 : cost 0 7.217 * * [simplify]: Extracting # 3 : cost 0 7.223 * * [simplify]: Extracting # 4 : cost 0 7.235 * * [simplify]: iteration done: 5000 enodes (cost 801 ) 7.235 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp 1/3) E (exp (* (cbrt (log (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (log (cbrt (sqrt (+ (* re re) (* im im)))))))) (exp (sqrt (log (cbrt (sqrt (+ (* re re) (* im im))))))) E (cbrt (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2)) (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (fabs (cbrt (+ (* re re) (* im im))))) (cbrt (sqrt (cbrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 1 (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 1 (cbrt (sqrt (+ (* re re) (* im im)))) (pow (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) 2) (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 1 (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (pow im 6) (pow re 6)))) (cbrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) (cbrt (sqrt (- (pow re 4) (pow im 4)))) (cbrt (sqrt (- (* re re) (* im im)))) (log (cbrt (sqrt (+ (* re re) (* im im))))) (exp (cbrt (sqrt (+ (* re re) (* im im))))) (pow (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) 2) (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (+ (* re re) (* im im))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) im re (- re) im re (- re) im re (- re) (+ (* (* (* re re) (cbrt (/ 1 (pow im 5)))) 1/6) (cbrt im)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 7.236 * * * [progress]: adding candidates to table 7.617 * * [progress]: iteration 4 / 4 7.617 * * * [progress]: picking best candidate 7.626 * * * * [pick]: Picked # 7.626 * * * [progress]: localizing error 7.658 * * * [progress]: generating rewritten candidates 7.658 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 7.667 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 7.675 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 1) 7.683 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) 7.693 * * * [progress]: generating series expansions 7.693 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 7.693 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 7.693 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 7.693 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 7.693 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 7.693 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.693 * [taylor]: Taking taylor expansion of re in im 7.693 * [backup-simplify]: Simplify re into re 7.693 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.693 * [taylor]: Taking taylor expansion of im in im 7.693 * [backup-simplify]: Simplify 0 into 0 7.693 * [backup-simplify]: Simplify 1 into 1 7.693 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.693 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.693 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.694 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.694 * [backup-simplify]: Simplify (+ 0 0) into 0 7.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.694 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.694 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.694 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.694 * [taylor]: Taking taylor expansion of re in re 7.694 * [backup-simplify]: Simplify 0 into 0 7.694 * [backup-simplify]: Simplify 1 into 1 7.694 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.694 * [taylor]: Taking taylor expansion of im in re 7.694 * [backup-simplify]: Simplify im into im 7.694 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.694 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.695 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.695 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.695 * [backup-simplify]: Simplify (+ 0 0) into 0 7.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.695 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.695 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.695 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.695 * [taylor]: Taking taylor expansion of re in re 7.695 * [backup-simplify]: Simplify 0 into 0 7.695 * [backup-simplify]: Simplify 1 into 1 7.695 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.695 * [taylor]: Taking taylor expansion of im in re 7.695 * [backup-simplify]: Simplify im into im 7.695 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.695 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.695 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.695 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.696 * [backup-simplify]: Simplify (+ 0 0) into 0 7.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.696 * [taylor]: Taking taylor expansion of im in im 7.696 * [backup-simplify]: Simplify 0 into 0 7.696 * [backup-simplify]: Simplify 1 into 1 7.696 * [backup-simplify]: Simplify 0 into 0 7.696 * [taylor]: Taking taylor expansion of 0 in im 7.696 * [backup-simplify]: Simplify 0 into 0 7.696 * [backup-simplify]: Simplify 0 into 0 7.696 * [backup-simplify]: Simplify 1 into 1 7.697 * [backup-simplify]: Simplify (* 1 1) into 1 7.697 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.697 * [backup-simplify]: Simplify (+ 1 0) into 1 7.698 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.698 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 7.698 * [taylor]: Taking taylor expansion of 1/2 in im 7.698 * [backup-simplify]: Simplify 1/2 into 1/2 7.698 * [taylor]: Taking taylor expansion of im in im 7.698 * [backup-simplify]: Simplify 0 into 0 7.698 * [backup-simplify]: Simplify 1 into 1 7.698 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.700 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.700 * [backup-simplify]: Simplify (+ 0 0) into 0 7.700 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.700 * [taylor]: Taking taylor expansion of 0 in im 7.700 * [backup-simplify]: Simplify 0 into 0 7.700 * [backup-simplify]: Simplify 0 into 0 7.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.701 * [backup-simplify]: Simplify 0 into 0 7.701 * [backup-simplify]: Simplify 0 into 0 7.701 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 7.701 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 7.701 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 7.701 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.701 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.701 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.701 * [taylor]: Taking taylor expansion of im in im 7.701 * [backup-simplify]: Simplify 0 into 0 7.701 * [backup-simplify]: Simplify 1 into 1 7.701 * [backup-simplify]: Simplify (* 1 1) into 1 7.702 * [backup-simplify]: Simplify (/ 1 1) into 1 7.702 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.702 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.702 * [taylor]: Taking taylor expansion of re in im 7.702 * [backup-simplify]: Simplify re into re 7.702 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.702 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.702 * [backup-simplify]: Simplify (+ 1 0) into 1 7.702 * [backup-simplify]: Simplify (sqrt 1) into 1 7.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.703 * [backup-simplify]: Simplify (+ 0 0) into 0 7.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.704 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.704 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.704 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.704 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.704 * [taylor]: Taking taylor expansion of im in re 7.704 * [backup-simplify]: Simplify im into im 7.704 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.704 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.704 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.704 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.704 * [taylor]: Taking taylor expansion of re in re 7.704 * [backup-simplify]: Simplify 0 into 0 7.704 * [backup-simplify]: Simplify 1 into 1 7.705 * [backup-simplify]: Simplify (* 1 1) into 1 7.705 * [backup-simplify]: Simplify (/ 1 1) into 1 7.705 * [backup-simplify]: Simplify (+ 0 1) into 1 7.705 * [backup-simplify]: Simplify (sqrt 1) into 1 7.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.706 * [backup-simplify]: Simplify (+ 0 0) into 0 7.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.707 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.707 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.707 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.707 * [taylor]: Taking taylor expansion of im in re 7.707 * [backup-simplify]: Simplify im into im 7.707 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.707 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.707 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.707 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.707 * [taylor]: Taking taylor expansion of re in re 7.707 * [backup-simplify]: Simplify 0 into 0 7.707 * [backup-simplify]: Simplify 1 into 1 7.708 * [backup-simplify]: Simplify (* 1 1) into 1 7.708 * [backup-simplify]: Simplify (/ 1 1) into 1 7.709 * [backup-simplify]: Simplify (+ 0 1) into 1 7.709 * [backup-simplify]: Simplify (sqrt 1) into 1 7.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.710 * [backup-simplify]: Simplify (+ 0 0) into 0 7.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.710 * [taylor]: Taking taylor expansion of 1 in im 7.710 * [backup-simplify]: Simplify 1 into 1 7.710 * [taylor]: Taking taylor expansion of 0 in im 7.710 * [backup-simplify]: Simplify 0 into 0 7.710 * [backup-simplify]: Simplify 1 into 1 7.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.712 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.714 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.714 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.714 * [taylor]: Taking taylor expansion of 1/2 in im 7.714 * [backup-simplify]: Simplify 1/2 into 1/2 7.714 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.714 * [taylor]: Taking taylor expansion of im in im 7.714 * [backup-simplify]: Simplify 0 into 0 7.714 * [backup-simplify]: Simplify 1 into 1 7.714 * [backup-simplify]: Simplify (* 1 1) into 1 7.715 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.717 * [backup-simplify]: Simplify 0 into 0 7.717 * [backup-simplify]: Simplify 0 into 0 7.717 * [backup-simplify]: Simplify 0 into 0 7.717 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.720 * [backup-simplify]: Simplify (+ 0 0) into 0 7.721 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.721 * [taylor]: Taking taylor expansion of 0 in im 7.721 * [backup-simplify]: Simplify 0 into 0 7.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.723 * [backup-simplify]: Simplify 0 into 0 7.723 * [backup-simplify]: Simplify 0 into 0 7.723 * [backup-simplify]: Simplify 0 into 0 7.723 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 7.724 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 7.724 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 7.724 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.724 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.724 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.724 * [taylor]: Taking taylor expansion of im in im 7.724 * [backup-simplify]: Simplify 0 into 0 7.724 * [backup-simplify]: Simplify 1 into 1 7.724 * [backup-simplify]: Simplify (* 1 1) into 1 7.725 * [backup-simplify]: Simplify (/ 1 1) into 1 7.725 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.725 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.725 * [taylor]: Taking taylor expansion of re in im 7.725 * [backup-simplify]: Simplify re into re 7.725 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.725 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.726 * [backup-simplify]: Simplify (+ 1 0) into 1 7.726 * [backup-simplify]: Simplify (sqrt 1) into 1 7.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.728 * [backup-simplify]: Simplify (+ 0 0) into 0 7.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.728 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.729 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.729 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.729 * [taylor]: Taking taylor expansion of im in re 7.729 * [backup-simplify]: Simplify im into im 7.729 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.729 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.729 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.729 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.729 * [taylor]: Taking taylor expansion of re in re 7.729 * [backup-simplify]: Simplify 0 into 0 7.729 * [backup-simplify]: Simplify 1 into 1 7.729 * [backup-simplify]: Simplify (* 1 1) into 1 7.730 * [backup-simplify]: Simplify (/ 1 1) into 1 7.730 * [backup-simplify]: Simplify (+ 0 1) into 1 7.731 * [backup-simplify]: Simplify (sqrt 1) into 1 7.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.732 * [backup-simplify]: Simplify (+ 0 0) into 0 7.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.733 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.733 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.733 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.733 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.733 * [taylor]: Taking taylor expansion of im in re 7.733 * [backup-simplify]: Simplify im into im 7.733 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.734 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.734 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.734 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.734 * [taylor]: Taking taylor expansion of re in re 7.734 * [backup-simplify]: Simplify 0 into 0 7.734 * [backup-simplify]: Simplify 1 into 1 7.734 * [backup-simplify]: Simplify (* 1 1) into 1 7.734 * [backup-simplify]: Simplify (/ 1 1) into 1 7.735 * [backup-simplify]: Simplify (+ 0 1) into 1 7.735 * [backup-simplify]: Simplify (sqrt 1) into 1 7.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.737 * [backup-simplify]: Simplify (+ 0 0) into 0 7.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.738 * [taylor]: Taking taylor expansion of 1 in im 7.738 * [backup-simplify]: Simplify 1 into 1 7.738 * [taylor]: Taking taylor expansion of 0 in im 7.738 * [backup-simplify]: Simplify 0 into 0 7.738 * [backup-simplify]: Simplify 1 into 1 7.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.740 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.741 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.741 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.741 * [taylor]: Taking taylor expansion of 1/2 in im 7.741 * [backup-simplify]: Simplify 1/2 into 1/2 7.741 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.741 * [taylor]: Taking taylor expansion of im in im 7.741 * [backup-simplify]: Simplify 0 into 0 7.741 * [backup-simplify]: Simplify 1 into 1 7.742 * [backup-simplify]: Simplify (* 1 1) into 1 7.742 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.749 * [backup-simplify]: Simplify 0 into 0 7.749 * [backup-simplify]: Simplify 0 into 0 7.749 * [backup-simplify]: Simplify 0 into 0 7.749 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.753 * [backup-simplify]: Simplify (+ 0 0) into 0 7.753 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.754 * [taylor]: Taking taylor expansion of 0 in im 7.754 * [backup-simplify]: Simplify 0 into 0 7.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.756 * [backup-simplify]: Simplify 0 into 0 7.756 * [backup-simplify]: Simplify 0 into 0 7.756 * [backup-simplify]: Simplify 0 into 0 7.756 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 7.756 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 7.756 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 7.756 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 7.756 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 7.756 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 7.756 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.756 * [taylor]: Taking taylor expansion of re in im 7.756 * [backup-simplify]: Simplify re into re 7.756 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.757 * [taylor]: Taking taylor expansion of im in im 7.757 * [backup-simplify]: Simplify 0 into 0 7.757 * [backup-simplify]: Simplify 1 into 1 7.757 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.757 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.757 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.757 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.758 * [backup-simplify]: Simplify (+ 0 0) into 0 7.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.758 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.758 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.758 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.758 * [taylor]: Taking taylor expansion of re in re 7.758 * [backup-simplify]: Simplify 0 into 0 7.758 * [backup-simplify]: Simplify 1 into 1 7.758 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.758 * [taylor]: Taking taylor expansion of im in re 7.758 * [backup-simplify]: Simplify im into im 7.758 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.758 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.758 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.758 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.759 * [backup-simplify]: Simplify (+ 0 0) into 0 7.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.759 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.759 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.759 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.759 * [taylor]: Taking taylor expansion of re in re 7.759 * [backup-simplify]: Simplify 0 into 0 7.759 * [backup-simplify]: Simplify 1 into 1 7.759 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.759 * [taylor]: Taking taylor expansion of im in re 7.759 * [backup-simplify]: Simplify im into im 7.760 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.760 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.760 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.760 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.760 * [backup-simplify]: Simplify (+ 0 0) into 0 7.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.761 * [taylor]: Taking taylor expansion of im in im 7.761 * [backup-simplify]: Simplify 0 into 0 7.761 * [backup-simplify]: Simplify 1 into 1 7.761 * [backup-simplify]: Simplify 0 into 0 7.761 * [taylor]: Taking taylor expansion of 0 in im 7.761 * [backup-simplify]: Simplify 0 into 0 7.761 * [backup-simplify]: Simplify 0 into 0 7.761 * [backup-simplify]: Simplify 1 into 1 7.761 * [backup-simplify]: Simplify (* 1 1) into 1 7.762 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.762 * [backup-simplify]: Simplify (+ 1 0) into 1 7.763 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.763 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 7.763 * [taylor]: Taking taylor expansion of 1/2 in im 7.763 * [backup-simplify]: Simplify 1/2 into 1/2 7.763 * [taylor]: Taking taylor expansion of im in im 7.763 * [backup-simplify]: Simplify 0 into 0 7.763 * [backup-simplify]: Simplify 1 into 1 7.764 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.765 * [backup-simplify]: Simplify 0 into 0 7.765 * [backup-simplify]: Simplify 0 into 0 7.765 * [backup-simplify]: Simplify 0 into 0 7.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.766 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.766 * [backup-simplify]: Simplify (+ 0 0) into 0 7.767 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.767 * [taylor]: Taking taylor expansion of 0 in im 7.767 * [backup-simplify]: Simplify 0 into 0 7.767 * [backup-simplify]: Simplify 0 into 0 7.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.768 * [backup-simplify]: Simplify 0 into 0 7.768 * [backup-simplify]: Simplify 0 into 0 7.768 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 7.768 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 7.768 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 7.768 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.768 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.768 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.768 * [taylor]: Taking taylor expansion of im in im 7.769 * [backup-simplify]: Simplify 0 into 0 7.769 * [backup-simplify]: Simplify 1 into 1 7.769 * [backup-simplify]: Simplify (* 1 1) into 1 7.769 * [backup-simplify]: Simplify (/ 1 1) into 1 7.769 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.769 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.769 * [taylor]: Taking taylor expansion of re in im 7.770 * [backup-simplify]: Simplify re into re 7.770 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.770 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.770 * [backup-simplify]: Simplify (+ 1 0) into 1 7.771 * [backup-simplify]: Simplify (sqrt 1) into 1 7.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.772 * [backup-simplify]: Simplify (+ 0 0) into 0 7.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.773 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.773 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.773 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.773 * [taylor]: Taking taylor expansion of im in re 7.773 * [backup-simplify]: Simplify im into im 7.773 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.773 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.773 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.773 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.773 * [taylor]: Taking taylor expansion of re in re 7.774 * [backup-simplify]: Simplify 0 into 0 7.774 * [backup-simplify]: Simplify 1 into 1 7.774 * [backup-simplify]: Simplify (* 1 1) into 1 7.774 * [backup-simplify]: Simplify (/ 1 1) into 1 7.775 * [backup-simplify]: Simplify (+ 0 1) into 1 7.775 * [backup-simplify]: Simplify (sqrt 1) into 1 7.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.777 * [backup-simplify]: Simplify (+ 0 0) into 0 7.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.777 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.777 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.778 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.778 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.778 * [taylor]: Taking taylor expansion of im in re 7.778 * [backup-simplify]: Simplify im into im 7.778 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.778 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.778 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.778 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.778 * [taylor]: Taking taylor expansion of re in re 7.778 * [backup-simplify]: Simplify 0 into 0 7.778 * [backup-simplify]: Simplify 1 into 1 7.778 * [backup-simplify]: Simplify (* 1 1) into 1 7.779 * [backup-simplify]: Simplify (/ 1 1) into 1 7.779 * [backup-simplify]: Simplify (+ 0 1) into 1 7.780 * [backup-simplify]: Simplify (sqrt 1) into 1 7.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.781 * [backup-simplify]: Simplify (+ 0 0) into 0 7.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.782 * [taylor]: Taking taylor expansion of 1 in im 7.782 * [backup-simplify]: Simplify 1 into 1 7.782 * [taylor]: Taking taylor expansion of 0 in im 7.782 * [backup-simplify]: Simplify 0 into 0 7.782 * [backup-simplify]: Simplify 1 into 1 7.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.784 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.786 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.786 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.786 * [taylor]: Taking taylor expansion of 1/2 in im 7.786 * [backup-simplify]: Simplify 1/2 into 1/2 7.786 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.786 * [taylor]: Taking taylor expansion of im in im 7.786 * [backup-simplify]: Simplify 0 into 0 7.786 * [backup-simplify]: Simplify 1 into 1 7.786 * [backup-simplify]: Simplify (* 1 1) into 1 7.787 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.788 * [backup-simplify]: Simplify 0 into 0 7.788 * [backup-simplify]: Simplify 0 into 0 7.789 * [backup-simplify]: Simplify 0 into 0 7.789 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.792 * [backup-simplify]: Simplify (+ 0 0) into 0 7.793 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.793 * [taylor]: Taking taylor expansion of 0 in im 7.793 * [backup-simplify]: Simplify 0 into 0 7.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.795 * [backup-simplify]: Simplify 0 into 0 7.795 * [backup-simplify]: Simplify 0 into 0 7.795 * [backup-simplify]: Simplify 0 into 0 7.795 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 7.795 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 7.795 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 7.795 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.795 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.795 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.795 * [taylor]: Taking taylor expansion of im in im 7.796 * [backup-simplify]: Simplify 0 into 0 7.796 * [backup-simplify]: Simplify 1 into 1 7.796 * [backup-simplify]: Simplify (* 1 1) into 1 7.796 * [backup-simplify]: Simplify (/ 1 1) into 1 7.796 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.796 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.796 * [taylor]: Taking taylor expansion of re in im 7.796 * [backup-simplify]: Simplify re into re 7.796 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.797 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.797 * [backup-simplify]: Simplify (+ 1 0) into 1 7.797 * [backup-simplify]: Simplify (sqrt 1) into 1 7.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.799 * [backup-simplify]: Simplify (+ 0 0) into 0 7.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.800 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.800 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.800 * [taylor]: Taking taylor expansion of im in re 7.800 * [backup-simplify]: Simplify im into im 7.800 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.800 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.800 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.800 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.800 * [taylor]: Taking taylor expansion of re in re 7.800 * [backup-simplify]: Simplify 0 into 0 7.800 * [backup-simplify]: Simplify 1 into 1 7.801 * [backup-simplify]: Simplify (* 1 1) into 1 7.801 * [backup-simplify]: Simplify (/ 1 1) into 1 7.801 * [backup-simplify]: Simplify (+ 0 1) into 1 7.802 * [backup-simplify]: Simplify (sqrt 1) into 1 7.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.803 * [backup-simplify]: Simplify (+ 0 0) into 0 7.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.804 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.804 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.804 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.804 * [taylor]: Taking taylor expansion of im in re 7.804 * [backup-simplify]: Simplify im into im 7.804 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.805 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.805 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.805 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.805 * [taylor]: Taking taylor expansion of re in re 7.805 * [backup-simplify]: Simplify 0 into 0 7.805 * [backup-simplify]: Simplify 1 into 1 7.805 * [backup-simplify]: Simplify (* 1 1) into 1 7.805 * [backup-simplify]: Simplify (/ 1 1) into 1 7.806 * [backup-simplify]: Simplify (+ 0 1) into 1 7.806 * [backup-simplify]: Simplify (sqrt 1) into 1 7.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.808 * [backup-simplify]: Simplify (+ 0 0) into 0 7.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.809 * [taylor]: Taking taylor expansion of 1 in im 7.809 * [backup-simplify]: Simplify 1 into 1 7.809 * [taylor]: Taking taylor expansion of 0 in im 7.809 * [backup-simplify]: Simplify 0 into 0 7.809 * [backup-simplify]: Simplify 1 into 1 7.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.811 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.812 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.812 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.812 * [taylor]: Taking taylor expansion of 1/2 in im 7.813 * [backup-simplify]: Simplify 1/2 into 1/2 7.813 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.813 * [taylor]: Taking taylor expansion of im in im 7.813 * [backup-simplify]: Simplify 0 into 0 7.813 * [backup-simplify]: Simplify 1 into 1 7.813 * [backup-simplify]: Simplify (* 1 1) into 1 7.813 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.815 * [backup-simplify]: Simplify 0 into 0 7.815 * [backup-simplify]: Simplify 0 into 0 7.815 * [backup-simplify]: Simplify 0 into 0 7.815 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.818 * [backup-simplify]: Simplify (+ 0 0) into 0 7.819 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.819 * [taylor]: Taking taylor expansion of 0 in im 7.819 * [backup-simplify]: Simplify 0 into 0 7.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.821 * [backup-simplify]: Simplify 0 into 0 7.821 * [backup-simplify]: Simplify 0 into 0 7.821 * [backup-simplify]: Simplify 0 into 0 7.821 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 7.821 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 1) 7.821 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 7.821 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 7.821 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 7.821 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 7.821 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.821 * [taylor]: Taking taylor expansion of re in im 7.821 * [backup-simplify]: Simplify re into re 7.821 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.821 * [taylor]: Taking taylor expansion of im in im 7.821 * [backup-simplify]: Simplify 0 into 0 7.821 * [backup-simplify]: Simplify 1 into 1 7.822 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.822 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.822 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.822 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.822 * [backup-simplify]: Simplify (+ 0 0) into 0 7.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.823 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.823 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.823 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.823 * [taylor]: Taking taylor expansion of re in re 7.823 * [backup-simplify]: Simplify 0 into 0 7.823 * [backup-simplify]: Simplify 1 into 1 7.823 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.823 * [taylor]: Taking taylor expansion of im in re 7.823 * [backup-simplify]: Simplify im into im 7.823 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.823 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.823 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.823 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.824 * [backup-simplify]: Simplify (+ 0 0) into 0 7.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.824 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.824 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.824 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.824 * [taylor]: Taking taylor expansion of re in re 7.824 * [backup-simplify]: Simplify 0 into 0 7.824 * [backup-simplify]: Simplify 1 into 1 7.824 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.824 * [taylor]: Taking taylor expansion of im in re 7.824 * [backup-simplify]: Simplify im into im 7.824 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.824 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.824 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.824 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.825 * [backup-simplify]: Simplify (+ 0 0) into 0 7.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.825 * [taylor]: Taking taylor expansion of im in im 7.825 * [backup-simplify]: Simplify 0 into 0 7.825 * [backup-simplify]: Simplify 1 into 1 7.825 * [backup-simplify]: Simplify 0 into 0 7.825 * [taylor]: Taking taylor expansion of 0 in im 7.825 * [backup-simplify]: Simplify 0 into 0 7.825 * [backup-simplify]: Simplify 0 into 0 7.825 * [backup-simplify]: Simplify 1 into 1 7.826 * [backup-simplify]: Simplify (* 1 1) into 1 7.826 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.827 * [backup-simplify]: Simplify (+ 1 0) into 1 7.827 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.827 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 7.827 * [taylor]: Taking taylor expansion of 1/2 in im 7.828 * [backup-simplify]: Simplify 1/2 into 1/2 7.828 * [taylor]: Taking taylor expansion of im in im 7.828 * [backup-simplify]: Simplify 0 into 0 7.828 * [backup-simplify]: Simplify 1 into 1 7.828 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify 0 into 0 7.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.830 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.831 * [backup-simplify]: Simplify (+ 0 0) into 0 7.831 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.831 * [taylor]: Taking taylor expansion of 0 in im 7.831 * [backup-simplify]: Simplify 0 into 0 7.831 * [backup-simplify]: Simplify 0 into 0 7.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.832 * [backup-simplify]: Simplify 0 into 0 7.832 * [backup-simplify]: Simplify 0 into 0 7.832 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 7.832 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 7.833 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 7.833 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.833 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.833 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.833 * [taylor]: Taking taylor expansion of im in im 7.833 * [backup-simplify]: Simplify 0 into 0 7.833 * [backup-simplify]: Simplify 1 into 1 7.833 * [backup-simplify]: Simplify (* 1 1) into 1 7.833 * [backup-simplify]: Simplify (/ 1 1) into 1 7.833 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.834 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.834 * [taylor]: Taking taylor expansion of re in im 7.834 * [backup-simplify]: Simplify re into re 7.834 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.834 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.834 * [backup-simplify]: Simplify (+ 1 0) into 1 7.835 * [backup-simplify]: Simplify (sqrt 1) into 1 7.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.836 * [backup-simplify]: Simplify (+ 0 0) into 0 7.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.837 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.837 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.837 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.837 * [taylor]: Taking taylor expansion of im in re 7.837 * [backup-simplify]: Simplify im into im 7.837 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.838 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.838 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.838 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.838 * [taylor]: Taking taylor expansion of re in re 7.838 * [backup-simplify]: Simplify 0 into 0 7.838 * [backup-simplify]: Simplify 1 into 1 7.838 * [backup-simplify]: Simplify (* 1 1) into 1 7.839 * [backup-simplify]: Simplify (/ 1 1) into 1 7.839 * [backup-simplify]: Simplify (+ 0 1) into 1 7.839 * [backup-simplify]: Simplify (sqrt 1) into 1 7.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.841 * [backup-simplify]: Simplify (+ 0 0) into 0 7.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.842 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.842 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.842 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.842 * [taylor]: Taking taylor expansion of im in re 7.842 * [backup-simplify]: Simplify im into im 7.842 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.842 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.842 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.842 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.842 * [taylor]: Taking taylor expansion of re in re 7.842 * [backup-simplify]: Simplify 0 into 0 7.842 * [backup-simplify]: Simplify 1 into 1 7.843 * [backup-simplify]: Simplify (* 1 1) into 1 7.843 * [backup-simplify]: Simplify (/ 1 1) into 1 7.843 * [backup-simplify]: Simplify (+ 0 1) into 1 7.844 * [backup-simplify]: Simplify (sqrt 1) into 1 7.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.846 * [backup-simplify]: Simplify (+ 0 0) into 0 7.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.847 * [taylor]: Taking taylor expansion of 1 in im 7.847 * [backup-simplify]: Simplify 1 into 1 7.847 * [taylor]: Taking taylor expansion of 0 in im 7.847 * [backup-simplify]: Simplify 0 into 0 7.847 * [backup-simplify]: Simplify 1 into 1 7.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.849 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.850 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.850 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.850 * [taylor]: Taking taylor expansion of 1/2 in im 7.850 * [backup-simplify]: Simplify 1/2 into 1/2 7.850 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.850 * [taylor]: Taking taylor expansion of im in im 7.850 * [backup-simplify]: Simplify 0 into 0 7.850 * [backup-simplify]: Simplify 1 into 1 7.851 * [backup-simplify]: Simplify (* 1 1) into 1 7.851 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.853 * [backup-simplify]: Simplify 0 into 0 7.853 * [backup-simplify]: Simplify 0 into 0 7.853 * [backup-simplify]: Simplify 0 into 0 7.853 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.856 * [backup-simplify]: Simplify (+ 0 0) into 0 7.856 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.856 * [taylor]: Taking taylor expansion of 0 in im 7.856 * [backup-simplify]: Simplify 0 into 0 7.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.859 * [backup-simplify]: Simplify 0 into 0 7.859 * [backup-simplify]: Simplify 0 into 0 7.859 * [backup-simplify]: Simplify 0 into 0 7.859 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 7.859 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 7.859 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 7.859 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.859 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.859 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.859 * [taylor]: Taking taylor expansion of im in im 7.859 * [backup-simplify]: Simplify 0 into 0 7.860 * [backup-simplify]: Simplify 1 into 1 7.860 * [backup-simplify]: Simplify (* 1 1) into 1 7.860 * [backup-simplify]: Simplify (/ 1 1) into 1 7.860 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.860 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.860 * [taylor]: Taking taylor expansion of re in im 7.860 * [backup-simplify]: Simplify re into re 7.860 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.861 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.861 * [backup-simplify]: Simplify (+ 1 0) into 1 7.862 * [backup-simplify]: Simplify (sqrt 1) into 1 7.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.864 * [backup-simplify]: Simplify (+ 0 0) into 0 7.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.864 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.865 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.865 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.865 * [taylor]: Taking taylor expansion of im in re 7.865 * [backup-simplify]: Simplify im into im 7.865 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.865 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.865 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.865 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.865 * [taylor]: Taking taylor expansion of re in re 7.865 * [backup-simplify]: Simplify 0 into 0 7.865 * [backup-simplify]: Simplify 1 into 1 7.865 * [backup-simplify]: Simplify (* 1 1) into 1 7.866 * [backup-simplify]: Simplify (/ 1 1) into 1 7.866 * [backup-simplify]: Simplify (+ 0 1) into 1 7.867 * [backup-simplify]: Simplify (sqrt 1) into 1 7.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.868 * [backup-simplify]: Simplify (+ 0 0) into 0 7.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.869 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.869 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.869 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.869 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.869 * [taylor]: Taking taylor expansion of im in re 7.869 * [backup-simplify]: Simplify im into im 7.869 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.870 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.870 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.870 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.870 * [taylor]: Taking taylor expansion of re in re 7.870 * [backup-simplify]: Simplify 0 into 0 7.870 * [backup-simplify]: Simplify 1 into 1 7.870 * [backup-simplify]: Simplify (* 1 1) into 1 7.871 * [backup-simplify]: Simplify (/ 1 1) into 1 7.871 * [backup-simplify]: Simplify (+ 0 1) into 1 7.872 * [backup-simplify]: Simplify (sqrt 1) into 1 7.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.873 * [backup-simplify]: Simplify (+ 0 0) into 0 7.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.874 * [taylor]: Taking taylor expansion of 1 in im 7.874 * [backup-simplify]: Simplify 1 into 1 7.874 * [taylor]: Taking taylor expansion of 0 in im 7.874 * [backup-simplify]: Simplify 0 into 0 7.874 * [backup-simplify]: Simplify 1 into 1 7.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.876 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.878 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.878 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.878 * [taylor]: Taking taylor expansion of 1/2 in im 7.878 * [backup-simplify]: Simplify 1/2 into 1/2 7.878 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.878 * [taylor]: Taking taylor expansion of im in im 7.878 * [backup-simplify]: Simplify 0 into 0 7.878 * [backup-simplify]: Simplify 1 into 1 7.878 * [backup-simplify]: Simplify (* 1 1) into 1 7.879 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.880 * [backup-simplify]: Simplify 0 into 0 7.880 * [backup-simplify]: Simplify 0 into 0 7.880 * [backup-simplify]: Simplify 0 into 0 7.880 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.883 * [backup-simplify]: Simplify (+ 0 0) into 0 7.884 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.884 * [taylor]: Taking taylor expansion of 0 in im 7.884 * [backup-simplify]: Simplify 0 into 0 7.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.886 * [backup-simplify]: Simplify 0 into 0 7.886 * [backup-simplify]: Simplify 0 into 0 7.886 * [backup-simplify]: Simplify 0 into 0 7.886 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 7.886 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1) 7.886 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 7.886 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 7.886 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 7.886 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 7.886 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.886 * [taylor]: Taking taylor expansion of re in im 7.886 * [backup-simplify]: Simplify re into re 7.886 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.886 * [taylor]: Taking taylor expansion of im in im 7.886 * [backup-simplify]: Simplify 0 into 0 7.887 * [backup-simplify]: Simplify 1 into 1 7.887 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.887 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.887 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.887 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.887 * [backup-simplify]: Simplify (+ 0 0) into 0 7.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.888 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.888 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.888 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.888 * [taylor]: Taking taylor expansion of re in re 7.888 * [backup-simplify]: Simplify 0 into 0 7.888 * [backup-simplify]: Simplify 1 into 1 7.888 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.888 * [taylor]: Taking taylor expansion of im in re 7.888 * [backup-simplify]: Simplify im into im 7.888 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.888 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.888 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.888 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.889 * [backup-simplify]: Simplify (+ 0 0) into 0 7.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.889 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 7.889 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 7.889 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.889 * [taylor]: Taking taylor expansion of re in re 7.889 * [backup-simplify]: Simplify 0 into 0 7.889 * [backup-simplify]: Simplify 1 into 1 7.889 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.889 * [taylor]: Taking taylor expansion of im in re 7.889 * [backup-simplify]: Simplify im into im 7.889 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.889 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.890 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.890 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.890 * [backup-simplify]: Simplify (+ 0 0) into 0 7.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.890 * [taylor]: Taking taylor expansion of im in im 7.890 * [backup-simplify]: Simplify 0 into 0 7.890 * [backup-simplify]: Simplify 1 into 1 7.890 * [backup-simplify]: Simplify 0 into 0 7.890 * [taylor]: Taking taylor expansion of 0 in im 7.890 * [backup-simplify]: Simplify 0 into 0 7.890 * [backup-simplify]: Simplify 0 into 0 7.890 * [backup-simplify]: Simplify 1 into 1 7.891 * [backup-simplify]: Simplify (* 1 1) into 1 7.891 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.892 * [backup-simplify]: Simplify (+ 1 0) into 1 7.892 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.892 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 7.893 * [taylor]: Taking taylor expansion of 1/2 in im 7.893 * [backup-simplify]: Simplify 1/2 into 1/2 7.893 * [taylor]: Taking taylor expansion of im in im 7.893 * [backup-simplify]: Simplify 0 into 0 7.893 * [backup-simplify]: Simplify 1 into 1 7.893 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.894 * [backup-simplify]: Simplify 0 into 0 7.894 * [backup-simplify]: Simplify 0 into 0 7.894 * [backup-simplify]: Simplify 0 into 0 7.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.895 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.896 * [backup-simplify]: Simplify (+ 0 0) into 0 7.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.896 * [taylor]: Taking taylor expansion of 0 in im 7.896 * [backup-simplify]: Simplify 0 into 0 7.896 * [backup-simplify]: Simplify 0 into 0 7.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.897 * [backup-simplify]: Simplify 0 into 0 7.897 * [backup-simplify]: Simplify 0 into 0 7.897 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 7.898 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 7.898 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 7.898 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.898 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.898 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.898 * [taylor]: Taking taylor expansion of im in im 7.898 * [backup-simplify]: Simplify 0 into 0 7.898 * [backup-simplify]: Simplify 1 into 1 7.898 * [backup-simplify]: Simplify (* 1 1) into 1 7.899 * [backup-simplify]: Simplify (/ 1 1) into 1 7.899 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.899 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.899 * [taylor]: Taking taylor expansion of re in im 7.899 * [backup-simplify]: Simplify re into re 7.899 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.899 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.900 * [backup-simplify]: Simplify (+ 1 0) into 1 7.900 * [backup-simplify]: Simplify (sqrt 1) into 1 7.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.902 * [backup-simplify]: Simplify (+ 0 0) into 0 7.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.902 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.902 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.902 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.902 * [taylor]: Taking taylor expansion of im in re 7.903 * [backup-simplify]: Simplify im into im 7.903 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.903 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.903 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.903 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.903 * [taylor]: Taking taylor expansion of re in re 7.903 * [backup-simplify]: Simplify 0 into 0 7.903 * [backup-simplify]: Simplify 1 into 1 7.908 * [backup-simplify]: Simplify (* 1 1) into 1 7.908 * [backup-simplify]: Simplify (/ 1 1) into 1 7.909 * [backup-simplify]: Simplify (+ 0 1) into 1 7.909 * [backup-simplify]: Simplify (sqrt 1) into 1 7.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.911 * [backup-simplify]: Simplify (+ 0 0) into 0 7.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.912 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.912 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.912 * [taylor]: Taking taylor expansion of im in re 7.912 * [backup-simplify]: Simplify im into im 7.912 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.912 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.912 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.912 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.912 * [taylor]: Taking taylor expansion of re in re 7.912 * [backup-simplify]: Simplify 0 into 0 7.912 * [backup-simplify]: Simplify 1 into 1 7.913 * [backup-simplify]: Simplify (* 1 1) into 1 7.913 * [backup-simplify]: Simplify (/ 1 1) into 1 7.913 * [backup-simplify]: Simplify (+ 0 1) into 1 7.914 * [backup-simplify]: Simplify (sqrt 1) into 1 7.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.915 * [backup-simplify]: Simplify (+ 0 0) into 0 7.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.916 * [taylor]: Taking taylor expansion of 1 in im 7.916 * [backup-simplify]: Simplify 1 into 1 7.916 * [taylor]: Taking taylor expansion of 0 in im 7.916 * [backup-simplify]: Simplify 0 into 0 7.916 * [backup-simplify]: Simplify 1 into 1 7.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.918 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.920 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.920 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.920 * [taylor]: Taking taylor expansion of 1/2 in im 7.920 * [backup-simplify]: Simplify 1/2 into 1/2 7.920 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.920 * [taylor]: Taking taylor expansion of im in im 7.920 * [backup-simplify]: Simplify 0 into 0 7.920 * [backup-simplify]: Simplify 1 into 1 7.920 * [backup-simplify]: Simplify (* 1 1) into 1 7.920 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.922 * [backup-simplify]: Simplify 0 into 0 7.922 * [backup-simplify]: Simplify 0 into 0 7.922 * [backup-simplify]: Simplify 0 into 0 7.922 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.925 * [backup-simplify]: Simplify (+ 0 0) into 0 7.925 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.925 * [taylor]: Taking taylor expansion of 0 in im 7.925 * [backup-simplify]: Simplify 0 into 0 7.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.927 * [backup-simplify]: Simplify 0 into 0 7.927 * [backup-simplify]: Simplify 0 into 0 7.927 * [backup-simplify]: Simplify 0 into 0 7.928 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 7.928 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 7.928 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 7.928 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 7.928 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 7.928 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.928 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.928 * [taylor]: Taking taylor expansion of im in im 7.928 * [backup-simplify]: Simplify 0 into 0 7.928 * [backup-simplify]: Simplify 1 into 1 7.929 * [backup-simplify]: Simplify (* 1 1) into 1 7.929 * [backup-simplify]: Simplify (/ 1 1) into 1 7.929 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.929 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.929 * [taylor]: Taking taylor expansion of re in im 7.929 * [backup-simplify]: Simplify re into re 7.929 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.929 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.930 * [backup-simplify]: Simplify (+ 1 0) into 1 7.930 * [backup-simplify]: Simplify (sqrt 1) into 1 7.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.932 * [backup-simplify]: Simplify (+ 0 0) into 0 7.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.933 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.933 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.933 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.933 * [taylor]: Taking taylor expansion of im in re 7.933 * [backup-simplify]: Simplify im into im 7.933 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.933 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.933 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.933 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.933 * [taylor]: Taking taylor expansion of re in re 7.933 * [backup-simplify]: Simplify 0 into 0 7.933 * [backup-simplify]: Simplify 1 into 1 7.934 * [backup-simplify]: Simplify (* 1 1) into 1 7.934 * [backup-simplify]: Simplify (/ 1 1) into 1 7.934 * [backup-simplify]: Simplify (+ 0 1) into 1 7.935 * [backup-simplify]: Simplify (sqrt 1) into 1 7.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.936 * [backup-simplify]: Simplify (+ 0 0) into 0 7.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.936 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 7.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 7.936 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.936 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.936 * [taylor]: Taking taylor expansion of im in re 7.936 * [backup-simplify]: Simplify im into im 7.936 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.937 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.937 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.937 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.937 * [taylor]: Taking taylor expansion of re in re 7.937 * [backup-simplify]: Simplify 0 into 0 7.937 * [backup-simplify]: Simplify 1 into 1 7.937 * [backup-simplify]: Simplify (* 1 1) into 1 7.937 * [backup-simplify]: Simplify (/ 1 1) into 1 7.938 * [backup-simplify]: Simplify (+ 0 1) into 1 7.938 * [backup-simplify]: Simplify (sqrt 1) into 1 7.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.940 * [backup-simplify]: Simplify (+ 0 0) into 0 7.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.941 * [taylor]: Taking taylor expansion of 1 in im 7.941 * [backup-simplify]: Simplify 1 into 1 7.941 * [taylor]: Taking taylor expansion of 0 in im 7.941 * [backup-simplify]: Simplify 0 into 0 7.941 * [backup-simplify]: Simplify 1 into 1 7.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.943 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 7.944 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.944 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.944 * [taylor]: Taking taylor expansion of 1/2 in im 7.945 * [backup-simplify]: Simplify 1/2 into 1/2 7.945 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.945 * [taylor]: Taking taylor expansion of im in im 7.945 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify 1 into 1 7.945 * [backup-simplify]: Simplify (* 1 1) into 1 7.945 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.947 * [backup-simplify]: Simplify 0 into 0 7.947 * [backup-simplify]: Simplify 0 into 0 7.947 * [backup-simplify]: Simplify 0 into 0 7.947 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.950 * [backup-simplify]: Simplify (+ 0 0) into 0 7.951 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.951 * [taylor]: Taking taylor expansion of 0 in im 7.951 * [backup-simplify]: Simplify 0 into 0 7.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.953 * [backup-simplify]: Simplify 0 into 0 7.953 * [backup-simplify]: Simplify 0 into 0 7.953 * [backup-simplify]: Simplify 0 into 0 7.953 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 7.953 * * * [progress]: simplifying candidates 7.956 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 7.958 * * [simplify]: Extracting # 0 : cost 0 7.958 * * [simplify]: Extracting # 1 : cost 0 7.958 * * [simplify]: Extracting # 2 : cost 0 7.958 * * [simplify]: Extracting # 3 : cost 0 7.958 * * [simplify]: Extracting # 4 : cost 0 7.958 * * [simplify]: Extracting # 5 : cost 0 7.959 * * [simplify]: Extracting # 6 : cost 0 7.959 * * [simplify]: iteration 0 : 38 enodes (cost 852 ) 7.975 * * [simplify]: Extracting # 0 : cost 0 7.975 * * [simplify]: Extracting # 1 : cost 0 7.975 * * [simplify]: Extracting # 2 : cost 0 7.976 * * [simplify]: Extracting # 3 : cost 0 7.976 * * [simplify]: Extracting # 4 : cost 0 7.976 * * [simplify]: iteration 1 : 91 enodes (cost 744 ) 8.017 * * [simplify]: Extracting # 0 : cost 0 8.017 * * [simplify]: Extracting # 1 : cost 0 8.018 * * [simplify]: Extracting # 2 : cost 0 8.018 * * [simplify]: Extracting # 3 : cost 0 8.019 * * [simplify]: Extracting # 4 : cost 0 8.019 * * [simplify]: iteration 2 : 205 enodes (cost 680 ) 8.086 * * [simplify]: Extracting # 0 : cost 0 8.086 * * [simplify]: Extracting # 1 : cost 0 8.087 * * [simplify]: Extracting # 2 : cost 0 8.088 * * [simplify]: Extracting # 3 : cost 0 8.089 * * [simplify]: Extracting # 4 : cost 0 8.090 * * [simplify]: iteration 3 : 444 enodes (cost 656 ) 8.400 * * [simplify]: Extracting # 0 : cost 0 8.402 * * [simplify]: Extracting # 1 : cost 0 8.403 * * [simplify]: Extracting # 2 : cost 0 8.404 * * [simplify]: Extracting # 3 : cost 0 8.405 * * [simplify]: iteration 4 : 1114 enodes (cost 656 ) 9.376 * * [simplify]: Extracting # 0 : cost 0 9.380 * * [simplify]: Extracting # 1 : cost 0 9.383 * * [simplify]: Extracting # 2 : cost 0 9.386 * * [simplify]: Extracting # 3 : cost 0 9.389 * * [simplify]: Extracting # 4 : cost 0 9.392 * * [simplify]: iteration 5 : 3182 enodes (cost 656 ) 10.839 * * [simplify]: Extracting # 0 : cost 0 10.845 * * [simplify]: Extracting # 1 : cost 0 10.856 * * [simplify]: Extracting # 2 : cost 0 10.863 * * [simplify]: Extracting # 3 : cost 0 10.873 * * [simplify]: Extracting # 4 : cost 0 10.882 * * [simplify]: iteration done: 5001 enodes (cost 656 ) 10.882 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) im re (- re) im re (- re) im re (- re) im re (- re) 10.883 * * * [progress]: adding candidates to table 11.250 * [progress]: [Phase 3 of 3] Extracting. 11.250 * * [regime]: Finding splitpoints for: (# # # # #) 11.251 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 11.251 * * * * [regimes]: Trying to branch on (* im im) from (# # # # #) 11.286 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 11.312 * * * * [regimes]: Trying to branch on (* re re) from (# # # # #) 11.351 * * * * [regimes]: Trying to branch on (* re re) from (# # #) 11.377 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # # #) 11.421 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# #) 11.441 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # # #) 11.483 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# #) 11.500 * * * * [regimes]: Trying to branch on im from (# # # # #) 11.556 * * * * [regimes]: Trying to branch on re from (# # # # #) 11.616 * * * [regime]: Found split indices: #