54.402 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.027 * [simplify]: Sending expressions to egg_math: (* h0 (sqrt (* h1 (+ (sqrt (+ (* h2 h2) (* h3 h3))) h2)))) 0.030 * * [simplify]: iteration 0 : 22 enodes (cost 8 ) 0.031 * * [simplify]: iteration 1 : 24 enodes (cost 8 ) 0.032 * * [simplify]: iteration 2 : 24 enodes (cost 8 ) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.056 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.084 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1 1) 0.093 * * * [progress]: generating series expansions 0.093 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.093 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.093 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.093 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.093 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.093 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.093 * [taylor]: Taking taylor expansion of re in im 0.093 * [backup-simplify]: Simplify re into re 0.093 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.093 * [taylor]: Taking taylor expansion of im in im 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.093 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.093 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.094 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.094 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.094 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.094 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.094 * [taylor]: Taking taylor expansion of re in re 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.094 * [taylor]: Taking taylor expansion of im in re 0.094 * [backup-simplify]: Simplify im into im 0.094 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.094 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.095 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.095 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.095 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.095 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.095 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.095 * [taylor]: Taking taylor expansion of re in re 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.095 * [taylor]: Taking taylor expansion of im in re 0.095 * [backup-simplify]: Simplify im into im 0.095 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.095 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.095 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.095 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.096 * [taylor]: Taking taylor expansion of im in im 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [taylor]: Taking taylor expansion of 0 in im 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (* 1 1) into 1 0.096 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.097 * [backup-simplify]: Simplify (+ 1 0) into 1 0.097 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.097 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.097 * [taylor]: Taking taylor expansion of 1/2 in im 0.097 * [backup-simplify]: Simplify 1/2 into 1/2 0.097 * [taylor]: Taking taylor expansion of im in im 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.099 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.099 * [taylor]: Taking taylor expansion of 0 in im 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.100 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.100 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.100 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.100 * [taylor]: Taking taylor expansion of im in im 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (* 1 1) into 1 0.101 * [backup-simplify]: Simplify (/ 1 1) into 1 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.101 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.101 * [taylor]: Taking taylor expansion of re in im 0.101 * [backup-simplify]: Simplify re into re 0.101 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.101 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.101 * [backup-simplify]: Simplify (+ 1 0) into 1 0.102 * [backup-simplify]: Simplify (sqrt 1) into 1 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.103 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.103 * [taylor]: Taking taylor expansion of im in re 0.103 * [backup-simplify]: Simplify im into im 0.103 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.103 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.103 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.103 * [taylor]: Taking taylor expansion of re in re 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (* 1 1) into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [backup-simplify]: Simplify (+ 0 1) into 1 0.104 * [backup-simplify]: Simplify (sqrt 1) into 1 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.106 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.106 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.106 * [taylor]: Taking taylor expansion of im in re 0.106 * [backup-simplify]: Simplify im into im 0.106 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.106 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.106 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.106 * [taylor]: Taking taylor expansion of re in re 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (* 1 1) into 1 0.106 * [backup-simplify]: Simplify (/ 1 1) into 1 0.107 * [backup-simplify]: Simplify (+ 0 1) into 1 0.107 * [backup-simplify]: Simplify (sqrt 1) into 1 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.108 * [taylor]: Taking taylor expansion of 1 in im 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [taylor]: Taking taylor expansion of 0 in im 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.114 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.114 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.114 * [taylor]: Taking taylor expansion of 1/2 in im 0.114 * [backup-simplify]: Simplify 1/2 into 1/2 0.114 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.114 * [taylor]: Taking taylor expansion of im in im 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (* 1 1) into 1 0.115 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.117 * [taylor]: Taking taylor expansion of 0 in im 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.119 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.119 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.119 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.119 * [taylor]: Taking taylor expansion of im in im 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (* 1 1) into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.120 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.120 * [taylor]: Taking taylor expansion of re in im 0.120 * [backup-simplify]: Simplify re into re 0.120 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.120 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.120 * [backup-simplify]: Simplify (+ 1 0) into 1 0.120 * [backup-simplify]: Simplify (sqrt 1) into 1 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.122 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.122 * [taylor]: Taking taylor expansion of im in re 0.122 * [backup-simplify]: Simplify im into im 0.122 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.122 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.122 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.122 * [taylor]: Taking taylor expansion of re in re 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (* 1 1) into 1 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 0.123 * [backup-simplify]: Simplify (+ 0 1) into 1 0.123 * [backup-simplify]: Simplify (sqrt 1) into 1 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (+ 0 0) into 0 0.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.124 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.124 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.124 * [taylor]: Taking taylor expansion of im in re 0.124 * [backup-simplify]: Simplify im into im 0.124 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.124 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.124 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.124 * [taylor]: Taking taylor expansion of re in re 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (* 1 1) into 1 0.125 * [backup-simplify]: Simplify (/ 1 1) into 1 0.125 * [backup-simplify]: Simplify (+ 0 1) into 1 0.125 * [backup-simplify]: Simplify (sqrt 1) into 1 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.127 * [taylor]: Taking taylor expansion of 1 in im 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [taylor]: Taking taylor expansion of 0 in im 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.129 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.129 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.129 * [taylor]: Taking taylor expansion of 1/2 in im 0.129 * [backup-simplify]: Simplify 1/2 into 1/2 0.129 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.129 * [taylor]: Taking taylor expansion of im in im 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (* 1 1) into 1 0.129 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.132 * [taylor]: Taking taylor expansion of 0 in im 0.132 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 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 0.133 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.133 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.134 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 0.134 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.134 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.134 * [taylor]: Taking taylor expansion of re in im 0.134 * [backup-simplify]: Simplify re into re 0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.134 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.134 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.134 * [taylor]: Taking taylor expansion of re in im 0.134 * [backup-simplify]: Simplify re into re 0.134 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.134 * [taylor]: Taking taylor expansion of im in im 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.134 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.134 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.134 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.134 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.134 * [taylor]: Taking taylor expansion of re in re 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.135 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.135 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.135 * [taylor]: Taking taylor expansion of re in re 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.135 * [taylor]: Taking taylor expansion of im in re 0.135 * [backup-simplify]: Simplify im into im 0.135 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.135 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.135 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.135 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.135 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.135 * [taylor]: Taking taylor expansion of re in re 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.135 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.135 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.135 * [taylor]: Taking taylor expansion of re in re 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.135 * [taylor]: Taking taylor expansion of im in re 0.135 * [backup-simplify]: Simplify im into im 0.135 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.136 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.136 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.136 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.136 * [backup-simplify]: Simplify (+ 0 im) into im 0.136 * [taylor]: Taking taylor expansion of im in im 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ 1 0) into 1 0.136 * [taylor]: Taking taylor expansion of 1 in im 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (* 1 1) into 1 0.137 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.137 * [backup-simplify]: Simplify (+ 1 0) into 1 0.138 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.138 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.138 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.138 * [taylor]: Taking taylor expansion of 1/2 in im 0.138 * [backup-simplify]: Simplify 1/2 into 1/2 0.138 * [taylor]: Taking taylor expansion of (/ 1 im) 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 (/ 1 1) into 1 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.140 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [taylor]: Taking taylor expansion of 0 in im 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.142 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 0.142 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.142 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.142 * [taylor]: Taking taylor expansion of re in im 0.142 * [backup-simplify]: Simplify re into re 0.142 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.142 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.142 * [taylor]: Taking taylor expansion of im in im 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (* 1 1) into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.142 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.142 * [taylor]: Taking taylor expansion of re in im 0.142 * [backup-simplify]: Simplify re into re 0.142 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.143 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.143 * [backup-simplify]: Simplify (+ 1 0) into 1 0.143 * [backup-simplify]: Simplify (sqrt 1) into 1 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.144 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.145 * [taylor]: Taking taylor expansion of re in re 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.145 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.145 * [taylor]: Taking taylor expansion of im in re 0.145 * [backup-simplify]: Simplify im into im 0.145 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.145 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.145 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.145 * [taylor]: Taking taylor expansion of re in re 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 * [backup-simplify]: Simplify (+ 0 1) into 1 0.146 * [backup-simplify]: Simplify (sqrt 1) into 1 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.148 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.148 * [taylor]: Taking taylor expansion of re in re 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.148 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.148 * [taylor]: Taking taylor expansion of im in re 0.148 * [backup-simplify]: Simplify im into im 0.148 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.148 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.148 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.148 * [taylor]: Taking taylor expansion of re in re 0.148 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (* 1 1) into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [backup-simplify]: Simplify (+ 0 1) into 1 0.149 * [backup-simplify]: Simplify (sqrt 1) into 1 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.151 * [backup-simplify]: Simplify (+ 1 1) into 2 0.151 * [taylor]: Taking taylor expansion of 2 in im 0.151 * [backup-simplify]: Simplify 2 into 2 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [taylor]: Taking taylor expansion of 0 in im 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 2 into 2 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.154 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.154 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.154 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.154 * [taylor]: Taking taylor expansion of 1/2 in im 0.154 * [backup-simplify]: Simplify 1/2 into 1/2 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.154 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.154 * [taylor]: Taking taylor expansion of im in im 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (* 1 1) into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [taylor]: Taking taylor expansion of 0 in im 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.161 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 0.161 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.161 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.161 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.161 * [taylor]: Taking taylor expansion of im in im 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (* 1 1) into 1 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.161 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.161 * [taylor]: Taking taylor expansion of re in im 0.161 * [backup-simplify]: Simplify re into re 0.161 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.161 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.162 * [backup-simplify]: Simplify (+ 1 0) into 1 0.162 * [backup-simplify]: Simplify (sqrt 1) into 1 0.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.163 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.163 * [taylor]: Taking taylor expansion of re in im 0.163 * [backup-simplify]: Simplify re into re 0.163 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.163 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.164 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.164 * [taylor]: Taking taylor expansion of im in re 0.164 * [backup-simplify]: Simplify im into im 0.164 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.164 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.164 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.164 * [taylor]: Taking taylor expansion of re in re 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 * [backup-simplify]: Simplify (+ 0 1) into 1 0.165 * [backup-simplify]: Simplify (sqrt 1) into 1 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.166 * [taylor]: Taking taylor expansion of (/ 1 re) 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 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.167 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.167 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.167 * [taylor]: Taking taylor expansion of im in re 0.167 * [backup-simplify]: Simplify im into im 0.167 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.167 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.167 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.167 * [taylor]: Taking taylor expansion of re in re 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (* 1 1) into 1 0.167 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [backup-simplify]: Simplify (+ 0 1) into 1 0.168 * [backup-simplify]: Simplify (sqrt 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 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.169 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.169 * [taylor]: Taking taylor expansion of re in re 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [backup-simplify]: Simplify (- 1) into -1 0.170 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.170 * [taylor]: Taking taylor expansion of 0 in im 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (- 0) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [taylor]: Taking taylor expansion of 0 in im 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.173 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (- 0) into 0 0.174 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.174 * [taylor]: Taking taylor expansion of 1/2 in im 0.174 * [backup-simplify]: Simplify 1/2 into 1/2 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.174 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.174 * [taylor]: Taking taylor expansion of im in im 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (* 1 1) into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (- 0) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.178 * [taylor]: Taking taylor expansion of 0 in im 0.178 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1 1) 0.180 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.180 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.180 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.180 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.180 * [taylor]: Taking taylor expansion of re in im 0.180 * [backup-simplify]: Simplify re into re 0.180 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.180 * [taylor]: Taking taylor expansion of im in im 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.180 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.180 * [taylor]: Taking taylor expansion of re in re 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.180 * [taylor]: Taking taylor expansion of im in re 0.180 * [backup-simplify]: Simplify im into im 0.180 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.180 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.180 * [taylor]: Taking taylor expansion of re in re 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.180 * [taylor]: Taking taylor expansion of im in re 0.180 * [backup-simplify]: Simplify im into im 0.180 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.181 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.181 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.181 * [taylor]: Taking taylor expansion of im in im 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.181 * [backup-simplify]: Simplify (+ 0 0) into 0 0.181 * [taylor]: Taking taylor expansion of 0 in im 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (* 1 1) into 1 0.181 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.182 * [backup-simplify]: Simplify (+ 1 0) into 1 0.182 * [taylor]: Taking taylor expansion of 1 in im 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify (* 1 1) into 1 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.183 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.183 * [backup-simplify]: Simplify (+ 0 0) into 0 0.183 * [taylor]: Taking taylor expansion of 0 in im 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.185 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.185 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [taylor]: Taking taylor expansion of 0 in im 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.185 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.185 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.186 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.186 * [taylor]: Taking taylor expansion of im in im 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (* 1 1) into 1 0.186 * [backup-simplify]: Simplify (/ 1 1) into 1 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.186 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.186 * [taylor]: Taking taylor expansion of re in im 0.186 * [backup-simplify]: Simplify re into re 0.186 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.186 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.186 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.186 * [taylor]: Taking taylor expansion of im in re 0.186 * [backup-simplify]: Simplify im into im 0.186 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.186 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.186 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.186 * [taylor]: Taking taylor expansion of re in re 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (* 1 1) into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.187 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.187 * [taylor]: Taking taylor expansion of im in re 0.187 * [backup-simplify]: Simplify im into im 0.187 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.187 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.187 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.187 * [taylor]: Taking taylor expansion of re in re 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (* 1 1) into 1 0.188 * [backup-simplify]: Simplify (/ 1 1) into 1 0.188 * [backup-simplify]: Simplify (+ 0 1) into 1 0.188 * [taylor]: Taking taylor expansion of 1 in im 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [taylor]: Taking taylor expansion of 0 in im 0.189 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.190 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.190 * [taylor]: Taking taylor expansion of im in im 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (* 1 1) into 1 0.191 * [backup-simplify]: Simplify (/ 1 1) into 1 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [taylor]: Taking taylor expansion of 0 in im 0.192 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [taylor]: Taking taylor expansion of 0 in im 0.195 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.197 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.197 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.197 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.197 * [taylor]: Taking taylor expansion of im in im 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (* 1 1) into 1 0.197 * [backup-simplify]: Simplify (/ 1 1) into 1 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.198 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.198 * [taylor]: Taking taylor expansion of re in im 0.198 * [backup-simplify]: Simplify re into re 0.198 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.198 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.198 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.198 * [taylor]: Taking taylor expansion of im in re 0.198 * [backup-simplify]: Simplify im into im 0.198 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.198 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.198 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.198 * [taylor]: Taking taylor expansion of re in re 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (* 1 1) into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.198 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.198 * [taylor]: Taking taylor expansion of im in re 0.199 * [backup-simplify]: Simplify im into im 0.199 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.199 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.199 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.199 * [taylor]: Taking taylor expansion of re in re 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (* 1 1) into 1 0.199 * [backup-simplify]: Simplify (/ 1 1) into 1 0.199 * [backup-simplify]: Simplify (+ 0 1) into 1 0.199 * [taylor]: Taking taylor expansion of 1 in im 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [taylor]: Taking taylor expansion of 0 in im 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.202 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.202 * [taylor]: Taking taylor expansion of im in im 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (* 1 1) into 1 0.202 * [backup-simplify]: Simplify (/ 1 1) into 1 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [taylor]: Taking taylor expansion of 0 in im 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [taylor]: Taking taylor expansion of 0 in im 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.213 * * * [progress]: simplifying candidates 0.214 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.214 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (exp h0)) (log (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (exp (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (* (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (* (* (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (+ (pow (sqrt (+ (* h0 h0) (* h1 h1))) 3) (pow h0 3)) (+ (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (- (* h0 h0) (* (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (- (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (* h0 h0)) (- (sqrt (+ (* h0 h0) (* h1 h1))) h0) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (* (exp (* h0 h0)) (exp (* h1 h1))) (log (+ (* h0 h0) (* h1 h1))) (exp (+ (* h0 h0) (* h1 h1))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (* h0 h0) (* h1 h1)) h1 h0 (* -1 h0) (+ h0 h1) (* 2 h0) 0 (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) 0.218 * * [simplify]: iteration 0 : 178 enodes (cost 275 ) 0.222 * * [simplify]: iteration 1 : 689 enodes (cost 252 ) 0.232 * * [simplify]: iteration 2 : 2017 enodes (cost 248 ) 0.275 * * [simplify]: iteration 3 : 5001 enodes (cost 246 ) 0.276 * * * [progress]: adding candidates to table 0.404 * * [progress]: iteration 2 / 4 0.404 * * * [progress]: picking best candidate 0.416 * * * * [pick]: Picked # 0.416 * * * [progress]: localizing error 0.430 * * * [progress]: generating rewritten candidates 0.430 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 2) 0.435 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 2) 0.440 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 0.445 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 0.520 * * * [progress]: generating series expansions 0.520 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 2) 0.520 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow re 2) (pow im 2)) 1/3) 0.520 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in (re im) around 0 0.520 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im 0.520 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im 0.520 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im 0.520 * [taylor]: Taking taylor expansion of 1/3 in im 0.520 * [backup-simplify]: Simplify 1/3 into 1/3 0.520 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 0.520 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.520 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.520 * [taylor]: Taking taylor expansion of re in im 0.520 * [backup-simplify]: Simplify re into re 0.520 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.520 * [taylor]: Taking taylor expansion of im in im 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.520 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.520 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 0.521 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 0.521 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 0.521 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 0.521 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 0.521 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 0.521 * [taylor]: Taking taylor expansion of 1/3 in re 0.521 * [backup-simplify]: Simplify 1/3 into 1/3 0.521 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.521 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.521 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.521 * [taylor]: Taking taylor expansion of re in re 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.521 * [taylor]: Taking taylor expansion of im in re 0.521 * [backup-simplify]: Simplify im into im 0.521 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.521 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.521 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 0.521 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 0.521 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 0.521 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 0.521 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 0.521 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 0.521 * [taylor]: Taking taylor expansion of 1/3 in re 0.521 * [backup-simplify]: Simplify 1/3 into 1/3 0.521 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.521 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.521 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.521 * [taylor]: Taking taylor expansion of re in re 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.522 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.522 * [taylor]: Taking taylor expansion of im in re 0.522 * [backup-simplify]: Simplify im into im 0.522 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.522 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.522 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 0.522 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 0.522 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 0.522 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 0.522 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 0.522 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 0.522 * [taylor]: Taking taylor expansion of 1/3 in im 0.522 * [backup-simplify]: Simplify 1/3 into 1/3 0.522 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 0.522 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.522 * [taylor]: Taking taylor expansion of im in im 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (* 1 1) into 1 0.523 * [backup-simplify]: Simplify (log 1) into 0 0.523 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.523 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 0.523 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 0.524 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 0.524 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.524 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 0.525 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 0.525 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 0.525 * [taylor]: Taking taylor expansion of 0 in im 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.527 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.527 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.527 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 0.528 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify (* 1 1) into 1 0.528 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.529 * [backup-simplify]: Simplify (+ 1 0) into 1 0.530 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 0.530 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 0.531 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 0.531 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 0.531 * [taylor]: Taking taylor expansion of 1/3 in im 0.531 * [backup-simplify]: Simplify 1/3 into 1/3 0.531 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 0.531 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 0.531 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 0.531 * [taylor]: Taking taylor expansion of 1/3 in im 0.531 * [backup-simplify]: Simplify 1/3 into 1/3 0.531 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 0.531 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.531 * [taylor]: Taking taylor expansion of im in im 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (* 1 1) into 1 0.531 * [backup-simplify]: Simplify (* 1 1) into 1 0.532 * [backup-simplify]: Simplify (/ 1 1) into 1 0.532 * [backup-simplify]: Simplify (log 1) into 0 0.532 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 0.532 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 0.532 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 0.532 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 0.533 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.535 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.535 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.535 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 0.537 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.537 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.538 * [backup-simplify]: Simplify (+ 0 0) into 0 0.539 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 0.540 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 0.541 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.541 * [taylor]: Taking taylor expansion of 0 in im 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.544 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 0.544 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 0.545 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 0.545 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.548 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.549 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 0.550 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) 0.551 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 0.551 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 0.551 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 0.551 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.551 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.551 * [taylor]: Taking taylor expansion of 1/3 in im 0.551 * [backup-simplify]: Simplify 1/3 into 1/3 0.551 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.551 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.551 * [taylor]: Taking taylor expansion of im in im 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 1 into 1 0.551 * [backup-simplify]: Simplify (* 1 1) into 1 0.551 * [backup-simplify]: Simplify (/ 1 1) into 1 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.551 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.551 * [taylor]: Taking taylor expansion of re in im 0.551 * [backup-simplify]: Simplify re into re 0.551 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.551 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.552 * [backup-simplify]: Simplify (+ 1 0) into 1 0.552 * [backup-simplify]: Simplify (log 1) into 0 0.552 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 0.552 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 0.552 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 0.552 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 0.552 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.552 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.552 * [taylor]: Taking taylor expansion of 1/3 in re 0.552 * [backup-simplify]: Simplify 1/3 into 1/3 0.552 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.553 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.553 * [taylor]: Taking taylor expansion of im in re 0.553 * [backup-simplify]: Simplify im into im 0.553 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.553 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.553 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.553 * [taylor]: Taking taylor expansion of re in re 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 1 into 1 0.553 * [backup-simplify]: Simplify (* 1 1) into 1 0.553 * [backup-simplify]: Simplify (/ 1 1) into 1 0.554 * [backup-simplify]: Simplify (+ 0 1) into 1 0.554 * [backup-simplify]: Simplify (log 1) into 0 0.554 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.554 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.554 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.554 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 0.554 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.554 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.554 * [taylor]: Taking taylor expansion of 1/3 in re 0.554 * [backup-simplify]: Simplify 1/3 into 1/3 0.554 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.554 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.554 * [taylor]: Taking taylor expansion of im in re 0.554 * [backup-simplify]: Simplify im into im 0.554 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.555 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.555 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.555 * [taylor]: Taking taylor expansion of re in re 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (* 1 1) into 1 0.555 * [backup-simplify]: Simplify (/ 1 1) into 1 0.555 * [backup-simplify]: Simplify (+ 0 1) into 1 0.556 * [backup-simplify]: Simplify (log 1) into 0 0.556 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.556 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.556 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.556 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 0.556 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 0.556 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 0.556 * [taylor]: Taking taylor expansion of -2/3 in im 0.556 * [backup-simplify]: Simplify -2/3 into -2/3 0.556 * [taylor]: Taking taylor expansion of (log re) in im 0.556 * [taylor]: Taking taylor expansion of re in im 0.556 * [backup-simplify]: Simplify re into re 0.556 * [backup-simplify]: Simplify (log re) into (log re) 0.556 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 0.556 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.556 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 0.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.557 * [backup-simplify]: Simplify (+ 0 0) into 0 0.558 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.558 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.559 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 0.559 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.559 * [taylor]: Taking taylor expansion of 0 in im 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 0.560 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 0.561 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.563 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 0.563 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.564 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 0.564 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 0.564 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 0.565 * [taylor]: Taking taylor expansion of 1/3 in im 0.565 * [backup-simplify]: Simplify 1/3 into 1/3 0.565 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 0.565 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 0.565 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 0.565 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 0.565 * [taylor]: Taking taylor expansion of 1/3 in im 0.565 * [backup-simplify]: Simplify 1/3 into 1/3 0.565 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.565 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.565 * [taylor]: Taking taylor expansion of re in im 0.565 * [backup-simplify]: Simplify re into re 0.565 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.565 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.565 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 0.565 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 0.565 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.565 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.565 * [taylor]: Taking taylor expansion of im in im 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify (* 1 1) into 1 0.566 * [backup-simplify]: Simplify (/ 1 1) into 1 0.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.568 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 0.568 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 0.569 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 0.569 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.569 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.570 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 0.571 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 0.571 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 0.572 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.573 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.573 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 0.573 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 0.574 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 0.575 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 0.576 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.578 * [backup-simplify]: Simplify (+ 0 0) into 0 0.580 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.580 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.581 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 0.582 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.582 * [taylor]: Taking taylor expansion of 0 in im 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 0.582 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 0.582 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 0.582 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 0.582 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.582 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.582 * [taylor]: Taking taylor expansion of 1/3 in im 0.582 * [backup-simplify]: Simplify 1/3 into 1/3 0.582 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.582 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.582 * [taylor]: Taking taylor expansion of im in im 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.583 * [backup-simplify]: Simplify (* 1 1) into 1 0.583 * [backup-simplify]: Simplify (/ 1 1) into 1 0.583 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.583 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.583 * [taylor]: Taking taylor expansion of re in im 0.583 * [backup-simplify]: Simplify re into re 0.583 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.583 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.583 * [backup-simplify]: Simplify (+ 1 0) into 1 0.584 * [backup-simplify]: Simplify (log 1) into 0 0.584 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 0.584 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 0.584 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 0.584 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 0.584 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.584 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.584 * [taylor]: Taking taylor expansion of 1/3 in re 0.584 * [backup-simplify]: Simplify 1/3 into 1/3 0.584 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.584 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.584 * [taylor]: Taking taylor expansion of im in re 0.584 * [backup-simplify]: Simplify im into im 0.584 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.584 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.584 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.584 * [taylor]: Taking taylor expansion of re in re 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.585 * [backup-simplify]: Simplify (* 1 1) into 1 0.585 * [backup-simplify]: Simplify (/ 1 1) into 1 0.585 * [backup-simplify]: Simplify (+ 0 1) into 1 0.585 * [backup-simplify]: Simplify (log 1) into 0 0.586 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.586 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.586 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.586 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 0.586 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.586 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.586 * [taylor]: Taking taylor expansion of 1/3 in re 0.586 * [backup-simplify]: Simplify 1/3 into 1/3 0.586 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.586 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.586 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.586 * [taylor]: Taking taylor expansion of im in re 0.586 * [backup-simplify]: Simplify im into im 0.586 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.586 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.586 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.586 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.586 * [taylor]: Taking taylor expansion of re in re 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify 1 into 1 0.587 * [backup-simplify]: Simplify (* 1 1) into 1 0.587 * [backup-simplify]: Simplify (/ 1 1) into 1 0.587 * [backup-simplify]: Simplify (+ 0 1) into 1 0.587 * [backup-simplify]: Simplify (log 1) into 0 0.588 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.588 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.588 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.588 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 0.588 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 0.588 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 0.588 * [taylor]: Taking taylor expansion of -2/3 in im 0.588 * [backup-simplify]: Simplify -2/3 into -2/3 0.588 * [taylor]: Taking taylor expansion of (log re) in im 0.588 * [taylor]: Taking taylor expansion of re in im 0.588 * [backup-simplify]: Simplify re into re 0.588 * [backup-simplify]: Simplify (log re) into (log re) 0.588 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 0.588 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.588 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 0.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify (+ 0 0) into 0 0.590 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.590 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.590 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 0.591 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.591 * [taylor]: Taking taylor expansion of 0 in im 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 0.592 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 0.592 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.595 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 0.595 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.595 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 0.596 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 0.596 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 0.596 * [taylor]: Taking taylor expansion of 1/3 in im 0.596 * [backup-simplify]: Simplify 1/3 into 1/3 0.596 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 0.596 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 0.596 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 0.596 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 0.596 * [taylor]: Taking taylor expansion of 1/3 in im 0.596 * [backup-simplify]: Simplify 1/3 into 1/3 0.596 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 0.596 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.596 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.596 * [taylor]: Taking taylor expansion of re in im 0.596 * [backup-simplify]: Simplify re into re 0.596 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.596 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.596 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 0.597 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 0.597 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.597 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.597 * [taylor]: Taking taylor expansion of im in im 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 1 into 1 0.597 * [backup-simplify]: Simplify (* 1 1) into 1 0.597 * [backup-simplify]: Simplify (/ 1 1) into 1 0.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.605 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 0.606 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 0.606 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 0.607 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.607 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 0.608 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 0.609 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 0.610 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.610 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.611 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 0.611 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 0.611 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 0.613 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 0.614 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.615 * [backup-simplify]: Simplify (+ 0 0) into 0 0.617 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.617 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.618 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 0.619 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.619 * [taylor]: Taking taylor expansion of 0 in im 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 0.619 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 2) 0.620 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow re 2) (pow im 2)) 1/3) 0.620 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in (re im) around 0 0.620 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im 0.620 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im 0.620 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im 0.620 * [taylor]: Taking taylor expansion of 1/3 in im 0.620 * [backup-simplify]: Simplify 1/3 into 1/3 0.620 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 0.620 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.620 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.620 * [taylor]: Taking taylor expansion of re in im 0.620 * [backup-simplify]: Simplify re into re 0.620 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.620 * [taylor]: Taking taylor expansion of im in im 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 1 into 1 0.620 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.620 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.620 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 0.620 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 0.620 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 0.620 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 0.620 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 0.620 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 0.620 * [taylor]: Taking taylor expansion of 1/3 in re 0.620 * [backup-simplify]: Simplify 1/3 into 1/3 0.620 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.620 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.620 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.620 * [taylor]: Taking taylor expansion of re in re 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 1 into 1 0.620 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.620 * [taylor]: Taking taylor expansion of im in re 0.620 * [backup-simplify]: Simplify im into im 0.621 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.621 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.621 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 0.621 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 0.621 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 0.621 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 0.621 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 0.621 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 0.621 * [taylor]: Taking taylor expansion of 1/3 in re 0.621 * [backup-simplify]: Simplify 1/3 into 1/3 0.621 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.621 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.621 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.621 * [taylor]: Taking taylor expansion of re in re 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify 1 into 1 0.621 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.621 * [taylor]: Taking taylor expansion of im in re 0.621 * [backup-simplify]: Simplify im into im 0.621 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.621 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.621 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 0.621 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 0.621 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 0.622 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 0.622 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 0.622 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 0.622 * [taylor]: Taking taylor expansion of 1/3 in im 0.622 * [backup-simplify]: Simplify 1/3 into 1/3 0.622 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 0.622 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.622 * [taylor]: Taking taylor expansion of im in im 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify 1 into 1 0.622 * [backup-simplify]: Simplify (* 1 1) into 1 0.622 * [backup-simplify]: Simplify (log 1) into 0 0.622 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.623 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 0.623 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 0.623 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 0.623 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.623 * [backup-simplify]: Simplify (+ 0 0) into 0 0.624 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 0.624 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 0.624 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 0.624 * [taylor]: Taking taylor expansion of 0 in im 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.626 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.626 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.626 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 0.627 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify (* 1 1) into 1 0.627 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.627 * [backup-simplify]: Simplify (+ 1 0) into 1 0.629 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 0.629 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 0.630 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 0.630 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 0.630 * [taylor]: Taking taylor expansion of 1/3 in im 0.630 * [backup-simplify]: Simplify 1/3 into 1/3 0.630 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 0.630 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 0.630 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 0.630 * [taylor]: Taking taylor expansion of 1/3 in im 0.630 * [backup-simplify]: Simplify 1/3 into 1/3 0.630 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 0.630 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.630 * [taylor]: Taking taylor expansion of im in im 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 1 into 1 0.630 * [backup-simplify]: Simplify (* 1 1) into 1 0.631 * [backup-simplify]: Simplify (* 1 1) into 1 0.631 * [backup-simplify]: Simplify (/ 1 1) into 1 0.631 * [backup-simplify]: Simplify (log 1) into 0 0.631 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 0.631 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 0.631 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 0.632 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 0.632 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 0.632 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.634 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.634 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.635 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 0.636 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.637 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.637 * [backup-simplify]: Simplify (+ 0 0) into 0 0.639 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 0.640 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 0.641 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.641 * [taylor]: Taking taylor expansion of 0 in im 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.643 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.643 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 0.644 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 0.644 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 0.644 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 0.644 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.647 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.648 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.648 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 0.649 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.649 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) 0.650 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 0.650 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 0.650 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 0.650 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.650 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.650 * [taylor]: Taking taylor expansion of 1/3 in im 0.650 * [backup-simplify]: Simplify 1/3 into 1/3 0.650 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.650 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.650 * [taylor]: Taking taylor expansion of im in im 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [backup-simplify]: Simplify (* 1 1) into 1 0.651 * [backup-simplify]: Simplify (/ 1 1) into 1 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.651 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.651 * [taylor]: Taking taylor expansion of re in im 0.651 * [backup-simplify]: Simplify re into re 0.651 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.651 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.651 * [backup-simplify]: Simplify (+ 1 0) into 1 0.651 * [backup-simplify]: Simplify (log 1) into 0 0.652 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 0.652 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 0.652 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 0.652 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 0.652 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.652 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.652 * [taylor]: Taking taylor expansion of 1/3 in re 0.652 * [backup-simplify]: Simplify 1/3 into 1/3 0.652 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.652 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.652 * [taylor]: Taking taylor expansion of im in re 0.652 * [backup-simplify]: Simplify im into im 0.652 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.652 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.652 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.652 * [taylor]: Taking taylor expansion of re in re 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify (* 1 1) into 1 0.653 * [backup-simplify]: Simplify (/ 1 1) into 1 0.653 * [backup-simplify]: Simplify (+ 0 1) into 1 0.653 * [backup-simplify]: Simplify (log 1) into 0 0.653 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.653 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.654 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.654 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 0.654 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.654 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.654 * [taylor]: Taking taylor expansion of 1/3 in re 0.654 * [backup-simplify]: Simplify 1/3 into 1/3 0.654 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.654 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.654 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.654 * [taylor]: Taking taylor expansion of im in re 0.654 * [backup-simplify]: Simplify im into im 0.654 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.654 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.654 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.654 * [taylor]: Taking taylor expansion of re in re 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (* 1 1) into 1 0.654 * [backup-simplify]: Simplify (/ 1 1) into 1 0.655 * [backup-simplify]: Simplify (+ 0 1) into 1 0.655 * [backup-simplify]: Simplify (log 1) into 0 0.655 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.655 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.655 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.655 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 0.655 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 0.655 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 0.655 * [taylor]: Taking taylor expansion of -2/3 in im 0.655 * [backup-simplify]: Simplify -2/3 into -2/3 0.655 * [taylor]: Taking taylor expansion of (log re) in im 0.655 * [taylor]: Taking taylor expansion of re in im 0.655 * [backup-simplify]: Simplify re into re 0.655 * [backup-simplify]: Simplify (log re) into (log re) 0.656 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 0.656 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.656 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 0.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.657 * [backup-simplify]: Simplify (+ 0 0) into 0 0.657 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.658 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.658 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 0.658 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.658 * [taylor]: Taking taylor expansion of 0 in im 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 0.659 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 0.660 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.661 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.662 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 0.662 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.663 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 0.663 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 0.663 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 0.663 * [taylor]: Taking taylor expansion of 1/3 in im 0.663 * [backup-simplify]: Simplify 1/3 into 1/3 0.663 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 0.664 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 0.664 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 0.664 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 0.664 * [taylor]: Taking taylor expansion of 1/3 in im 0.664 * [backup-simplify]: Simplify 1/3 into 1/3 0.664 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.664 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.664 * [taylor]: Taking taylor expansion of re in im 0.664 * [backup-simplify]: Simplify re into re 0.664 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.664 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.664 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 0.664 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 0.664 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.664 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.664 * [taylor]: Taking taylor expansion of im in im 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify 1 into 1 0.664 * [backup-simplify]: Simplify (* 1 1) into 1 0.665 * [backup-simplify]: Simplify (/ 1 1) into 1 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.666 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 0.667 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 0.668 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 0.668 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.668 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 0.670 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 0.670 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 0.671 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.672 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.672 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 0.672 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 0.673 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 0.674 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 0.675 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.677 * [backup-simplify]: Simplify (+ 0 0) into 0 0.679 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.679 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.680 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 0.681 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.681 * [taylor]: Taking taylor expansion of 0 in im 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 0.681 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 0.681 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 0.682 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 0.682 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.682 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.682 * [taylor]: Taking taylor expansion of 1/3 in im 0.682 * [backup-simplify]: Simplify 1/3 into 1/3 0.682 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.682 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.682 * [taylor]: Taking taylor expansion of im in im 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [backup-simplify]: Simplify (* 1 1) into 1 0.682 * [backup-simplify]: Simplify (/ 1 1) into 1 0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.682 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.682 * [taylor]: Taking taylor expansion of re in im 0.682 * [backup-simplify]: Simplify re into re 0.682 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.682 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.683 * [backup-simplify]: Simplify (+ 1 0) into 1 0.683 * [backup-simplify]: Simplify (log 1) into 0 0.683 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 0.683 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 0.683 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 0.683 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 0.683 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.683 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.683 * [taylor]: Taking taylor expansion of 1/3 in re 0.683 * [backup-simplify]: Simplify 1/3 into 1/3 0.683 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.683 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.683 * [taylor]: Taking taylor expansion of im in re 0.683 * [backup-simplify]: Simplify im into im 0.683 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.684 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.684 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.684 * [taylor]: Taking taylor expansion of re in re 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 1 into 1 0.684 * [backup-simplify]: Simplify (* 1 1) into 1 0.684 * [backup-simplify]: Simplify (/ 1 1) into 1 0.684 * [backup-simplify]: Simplify (+ 0 1) into 1 0.685 * [backup-simplify]: Simplify (log 1) into 0 0.685 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.685 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.685 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.685 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 0.685 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.685 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.685 * [taylor]: Taking taylor expansion of 1/3 in re 0.685 * [backup-simplify]: Simplify 1/3 into 1/3 0.685 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.685 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.685 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.685 * [taylor]: Taking taylor expansion of im in re 0.685 * [backup-simplify]: Simplify im into im 0.685 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.685 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.685 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.685 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.685 * [taylor]: Taking taylor expansion of re in re 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 1 into 1 0.686 * [backup-simplify]: Simplify (* 1 1) into 1 0.686 * [backup-simplify]: Simplify (/ 1 1) into 1 0.686 * [backup-simplify]: Simplify (+ 0 1) into 1 0.686 * [backup-simplify]: Simplify (log 1) into 0 0.687 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.687 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.687 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.687 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 0.687 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 0.687 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 0.687 * [taylor]: Taking taylor expansion of -2/3 in im 0.687 * [backup-simplify]: Simplify -2/3 into -2/3 0.687 * [taylor]: Taking taylor expansion of (log re) in im 0.687 * [taylor]: Taking taylor expansion of re in im 0.687 * [backup-simplify]: Simplify re into re 0.687 * [backup-simplify]: Simplify (log re) into (log re) 0.687 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 0.687 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.687 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 0.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.688 * [backup-simplify]: Simplify (+ 0 0) into 0 0.689 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.689 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.690 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 0.690 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.690 * [taylor]: Taking taylor expansion of 0 in im 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 0.691 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 0.691 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.691 * [backup-simplify]: Simplify 0 into 0 0.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.693 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.694 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 0.694 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.694 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 0.695 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 0.695 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 0.695 * [taylor]: Taking taylor expansion of 1/3 in im 0.695 * [backup-simplify]: Simplify 1/3 into 1/3 0.695 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 0.695 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 0.695 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 0.695 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 0.695 * [taylor]: Taking taylor expansion of 1/3 in im 0.695 * [backup-simplify]: Simplify 1/3 into 1/3 0.695 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.695 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.695 * [taylor]: Taking taylor expansion of re in im 0.695 * [backup-simplify]: Simplify re into re 0.695 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.695 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.696 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 0.696 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 0.696 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.696 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.696 * [taylor]: Taking taylor expansion of im in im 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 1 into 1 0.696 * [backup-simplify]: Simplify (* 1 1) into 1 0.696 * [backup-simplify]: Simplify (/ 1 1) into 1 0.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.698 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 0.705 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 0.705 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 0.706 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.706 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 0.708 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 0.709 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 0.709 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.710 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.710 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 0.711 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 0.711 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 0.713 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 0.713 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.713 * [backup-simplify]: Simplify 0 into 0 0.714 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.715 * [backup-simplify]: Simplify (+ 0 0) into 0 0.717 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.717 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.718 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 0.719 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.719 * [taylor]: Taking taylor expansion of 0 in im 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 0.719 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1) 0.720 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow re 2) (pow im 2)) 1/3) 0.720 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in (re im) around 0 0.720 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in im 0.720 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in im 0.720 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in im 0.720 * [taylor]: Taking taylor expansion of 1/3 in im 0.720 * [backup-simplify]: Simplify 1/3 into 1/3 0.720 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 0.720 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.720 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.720 * [taylor]: Taking taylor expansion of re in im 0.720 * [backup-simplify]: Simplify re into re 0.720 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.720 * [taylor]: Taking taylor expansion of im in im 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify 1 into 1 0.720 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.720 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.720 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 0.720 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 0.720 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 0.720 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 0.720 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 0.720 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 0.720 * [taylor]: Taking taylor expansion of 1/3 in re 0.720 * [backup-simplify]: Simplify 1/3 into 1/3 0.720 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.720 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.720 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.720 * [taylor]: Taking taylor expansion of re in re 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify 1 into 1 0.720 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.720 * [taylor]: Taking taylor expansion of im in re 0.721 * [backup-simplify]: Simplify im into im 0.721 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.721 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.721 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 0.721 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 0.721 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 0.721 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/3) in re 0.721 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow re 2) (pow im 2))))) in re 0.721 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow re 2) (pow im 2)))) in re 0.721 * [taylor]: Taking taylor expansion of 1/3 in re 0.721 * [backup-simplify]: Simplify 1/3 into 1/3 0.721 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 0.721 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.721 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.721 * [taylor]: Taking taylor expansion of re in re 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 1 into 1 0.721 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.721 * [taylor]: Taking taylor expansion of im in re 0.721 * [backup-simplify]: Simplify im into im 0.721 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.721 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.721 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 0.721 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 0.721 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 0.722 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 0.722 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 0.722 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 0.722 * [taylor]: Taking taylor expansion of 1/3 in im 0.722 * [backup-simplify]: Simplify 1/3 into 1/3 0.722 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 0.722 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.722 * [taylor]: Taking taylor expansion of im in im 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 1 into 1 0.722 * [backup-simplify]: Simplify (* 1 1) into 1 0.722 * [backup-simplify]: Simplify (log 1) into 0 0.723 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.723 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 0.723 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 0.723 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 0.723 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.723 * [backup-simplify]: Simplify (+ 0 0) into 0 0.724 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 0.724 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 0.725 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 0.725 * [taylor]: Taking taylor expansion of 0 in im 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.726 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.726 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.727 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 0.727 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 0.727 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify (* 1 1) into 1 0.728 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.728 * [backup-simplify]: Simplify (+ 1 0) into 1 0.729 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 0.730 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 0.730 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 0.730 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 0.730 * [taylor]: Taking taylor expansion of 1/3 in im 0.730 * [backup-simplify]: Simplify 1/3 into 1/3 0.730 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 0.730 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 0.730 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 0.730 * [taylor]: Taking taylor expansion of 1/3 in im 0.730 * [backup-simplify]: Simplify 1/3 into 1/3 0.730 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 0.730 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.730 * [taylor]: Taking taylor expansion of im in im 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify (* 1 1) into 1 0.731 * [backup-simplify]: Simplify (* 1 1) into 1 0.731 * [backup-simplify]: Simplify (/ 1 1) into 1 0.731 * [backup-simplify]: Simplify (log 1) into 0 0.732 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 0.732 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 0.732 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 0.732 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 0.732 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 0.732 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.734 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.734 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.735 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 0.735 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.736 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.737 * [backup-simplify]: Simplify (+ 0 0) into 0 0.739 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 0.739 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 0.741 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.741 * [taylor]: Taking taylor expansion of 0 in im 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.742 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.743 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 0.743 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 0.744 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 0.744 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.747 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.747 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 0.748 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 0.749 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) 0.750 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 0.750 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 0.750 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 0.750 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.750 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.750 * [taylor]: Taking taylor expansion of 1/3 in im 0.750 * [backup-simplify]: Simplify 1/3 into 1/3 0.750 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.750 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.750 * [taylor]: Taking taylor expansion of im in im 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 1 into 1 0.750 * [backup-simplify]: Simplify (* 1 1) into 1 0.750 * [backup-simplify]: Simplify (/ 1 1) into 1 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.750 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.750 * [taylor]: Taking taylor expansion of re in im 0.750 * [backup-simplify]: Simplify re into re 0.750 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.751 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.751 * [backup-simplify]: Simplify (+ 1 0) into 1 0.751 * [backup-simplify]: Simplify (log 1) into 0 0.751 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 0.751 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 0.751 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 0.751 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 0.751 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.751 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.751 * [taylor]: Taking taylor expansion of 1/3 in re 0.752 * [backup-simplify]: Simplify 1/3 into 1/3 0.752 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.752 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.752 * [taylor]: Taking taylor expansion of im in re 0.752 * [backup-simplify]: Simplify im into im 0.752 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.752 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.752 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.752 * [taylor]: Taking taylor expansion of re in re 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify 1 into 1 0.752 * [backup-simplify]: Simplify (* 1 1) into 1 0.752 * [backup-simplify]: Simplify (/ 1 1) into 1 0.753 * [backup-simplify]: Simplify (+ 0 1) into 1 0.753 * [backup-simplify]: Simplify (log 1) into 0 0.753 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.753 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.753 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.753 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 0.753 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.753 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.753 * [taylor]: Taking taylor expansion of 1/3 in re 0.753 * [backup-simplify]: Simplify 1/3 into 1/3 0.753 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.753 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.753 * [taylor]: Taking taylor expansion of im in re 0.753 * [backup-simplify]: Simplify im into im 0.753 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.754 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.754 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.754 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.754 * [taylor]: Taking taylor expansion of re in re 0.754 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify 1 into 1 0.754 * [backup-simplify]: Simplify (* 1 1) into 1 0.754 * [backup-simplify]: Simplify (/ 1 1) into 1 0.754 * [backup-simplify]: Simplify (+ 0 1) into 1 0.755 * [backup-simplify]: Simplify (log 1) into 0 0.755 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.755 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.755 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.755 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 0.755 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 0.755 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 0.755 * [taylor]: Taking taylor expansion of -2/3 in im 0.755 * [backup-simplify]: Simplify -2/3 into -2/3 0.755 * [taylor]: Taking taylor expansion of (log re) in im 0.755 * [taylor]: Taking taylor expansion of re in im 0.755 * [backup-simplify]: Simplify re into re 0.755 * [backup-simplify]: Simplify (log re) into (log re) 0.755 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 0.755 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.755 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 0.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.756 * [backup-simplify]: Simplify (+ 0 0) into 0 0.757 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.757 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.758 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 0.758 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.758 * [taylor]: Taking taylor expansion of 0 in im 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 0.759 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 0.759 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.759 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.761 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.762 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 0.762 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.762 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 0.763 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 0.763 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 0.763 * [taylor]: Taking taylor expansion of 1/3 in im 0.763 * [backup-simplify]: Simplify 1/3 into 1/3 0.763 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 0.763 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 0.763 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 0.763 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 0.763 * [taylor]: Taking taylor expansion of 1/3 in im 0.763 * [backup-simplify]: Simplify 1/3 into 1/3 0.763 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 0.763 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.763 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.763 * [taylor]: Taking taylor expansion of re in im 0.763 * [backup-simplify]: Simplify re into re 0.763 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.764 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.764 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 0.764 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 0.764 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.764 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.764 * [taylor]: Taking taylor expansion of im in im 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 1 into 1 0.764 * [backup-simplify]: Simplify (* 1 1) into 1 0.765 * [backup-simplify]: Simplify (/ 1 1) into 1 0.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.767 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 0.767 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 0.768 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 0.768 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.769 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 0.770 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 0.771 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 0.771 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.772 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.772 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 0.772 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 0.773 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 0.775 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 0.775 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.777 * [backup-simplify]: Simplify (+ 0 0) into 0 0.779 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.779 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.780 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 0.781 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.781 * [taylor]: Taking taylor expansion of 0 in im 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 0.782 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) 0.782 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in (re im) around 0 0.782 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in im 0.782 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.782 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.782 * [taylor]: Taking taylor expansion of 1/3 in im 0.782 * [backup-simplify]: Simplify 1/3 into 1/3 0.782 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.782 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.782 * [taylor]: Taking taylor expansion of im in im 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 1 into 1 0.782 * [backup-simplify]: Simplify (* 1 1) into 1 0.782 * [backup-simplify]: Simplify (/ 1 1) into 1 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.782 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.782 * [taylor]: Taking taylor expansion of re in im 0.782 * [backup-simplify]: Simplify re into re 0.782 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.782 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.783 * [backup-simplify]: Simplify (+ 1 0) into 1 0.783 * [backup-simplify]: Simplify (log 1) into 0 0.783 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 0.783 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 0.783 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 0.783 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 0.783 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.783 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.783 * [taylor]: Taking taylor expansion of 1/3 in re 0.783 * [backup-simplify]: Simplify 1/3 into 1/3 0.783 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.784 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.784 * [taylor]: Taking taylor expansion of im in re 0.784 * [backup-simplify]: Simplify im into im 0.784 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.784 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.784 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.784 * [taylor]: Taking taylor expansion of re in re 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 1 into 1 0.784 * [backup-simplify]: Simplify (* 1 1) into 1 0.784 * [backup-simplify]: Simplify (/ 1 1) into 1 0.784 * [backup-simplify]: Simplify (+ 0 1) into 1 0.785 * [backup-simplify]: Simplify (log 1) into 0 0.785 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.785 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.785 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.785 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/3) in re 0.785 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.785 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.785 * [taylor]: Taking taylor expansion of 1/3 in re 0.785 * [backup-simplify]: Simplify 1/3 into 1/3 0.785 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.785 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.785 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.785 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.785 * [taylor]: Taking taylor expansion of im in re 0.785 * [backup-simplify]: Simplify im into im 0.785 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.785 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.785 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.785 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.785 * [taylor]: Taking taylor expansion of re in re 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 1 into 1 0.786 * [backup-simplify]: Simplify (* 1 1) into 1 0.786 * [backup-simplify]: Simplify (/ 1 1) into 1 0.786 * [backup-simplify]: Simplify (+ 0 1) into 1 0.786 * [backup-simplify]: Simplify (log 1) into 0 0.787 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.787 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 0.787 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.787 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 0.787 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 0.787 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 0.787 * [taylor]: Taking taylor expansion of -2/3 in im 0.787 * [backup-simplify]: Simplify -2/3 into -2/3 0.787 * [taylor]: Taking taylor expansion of (log re) in im 0.787 * [taylor]: Taking taylor expansion of re in im 0.787 * [backup-simplify]: Simplify re into re 0.787 * [backup-simplify]: Simplify (log re) into (log re) 0.787 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 0.787 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 0.787 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 0.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (+ 0 0) into 0 0.789 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.789 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.790 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 0.790 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.790 * [taylor]: Taking taylor expansion of 0 in im 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 0.791 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 0.792 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.793 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.794 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 0.794 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.795 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 0.795 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 0.795 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 0.795 * [taylor]: Taking taylor expansion of 1/3 in im 0.795 * [backup-simplify]: Simplify 1/3 into 1/3 0.795 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 0.795 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 0.795 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 0.795 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 0.795 * [taylor]: Taking taylor expansion of 1/3 in im 0.795 * [backup-simplify]: Simplify 1/3 into 1/3 0.795 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.795 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.795 * [taylor]: Taking taylor expansion of re in im 0.795 * [backup-simplify]: Simplify re into re 0.796 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.796 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.796 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 0.796 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 0.796 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 0.796 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.796 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.796 * [taylor]: Taking taylor expansion of im in im 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify 1 into 1 0.796 * [backup-simplify]: Simplify (* 1 1) into 1 0.796 * [backup-simplify]: Simplify (/ 1 1) into 1 0.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.798 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 0.799 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 0.799 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 0.800 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.800 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 0.807 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 0.808 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 0.809 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.809 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 0.810 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 0.810 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 0.811 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 0.812 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 0.813 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.815 * [backup-simplify]: Simplify (+ 0 0) into 0 0.817 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.817 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 0.818 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 0.819 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.819 * [taylor]: Taking taylor expansion of 0 in im 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 0.819 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 0.819 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 0.820 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.820 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.820 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.820 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.820 * [taylor]: Taking taylor expansion of re in im 0.820 * [backup-simplify]: Simplify re into re 0.820 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.820 * [taylor]: Taking taylor expansion of im in im 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.820 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.820 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.820 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.820 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.820 * [backup-simplify]: Simplify (+ 0 0) into 0 0.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.820 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.820 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.820 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.820 * [taylor]: Taking taylor expansion of re in re 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.820 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.820 * [taylor]: Taking taylor expansion of im in re 0.820 * [backup-simplify]: Simplify im into im 0.820 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.821 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.821 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.821 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.821 * [backup-simplify]: Simplify (+ 0 0) into 0 0.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.821 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.821 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.821 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.821 * [taylor]: Taking taylor expansion of re in re 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 1 into 1 0.821 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.821 * [taylor]: Taking taylor expansion of im in re 0.821 * [backup-simplify]: Simplify im into im 0.821 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.821 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.821 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.821 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.822 * [backup-simplify]: Simplify (+ 0 0) into 0 0.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.822 * [taylor]: Taking taylor expansion of im in im 0.822 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify 1 into 1 0.822 * [backup-simplify]: Simplify 0 into 0 0.822 * [taylor]: Taking taylor expansion of 0 in im 0.822 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify 1 into 1 0.822 * [backup-simplify]: Simplify (* 1 1) into 1 0.822 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.823 * [backup-simplify]: Simplify (+ 1 0) into 1 0.823 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.823 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.823 * [taylor]: Taking taylor expansion of 1/2 in im 0.823 * [backup-simplify]: Simplify 1/2 into 1/2 0.823 * [taylor]: Taking taylor expansion of im in im 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify 1 into 1 0.824 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.825 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.825 * [backup-simplify]: Simplify (+ 0 0) into 0 0.825 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.825 * [taylor]: Taking taylor expansion of 0 in im 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.826 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.826 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.826 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.826 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.827 * [taylor]: Taking taylor expansion of im in im 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.827 * [backup-simplify]: Simplify (* 1 1) into 1 0.827 * [backup-simplify]: Simplify (/ 1 1) into 1 0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.827 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.827 * [taylor]: Taking taylor expansion of re in im 0.827 * [backup-simplify]: Simplify re into re 0.827 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.827 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.828 * [backup-simplify]: Simplify (+ 1 0) into 1 0.828 * [backup-simplify]: Simplify (sqrt 1) into 1 0.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.829 * [backup-simplify]: Simplify (+ 0 0) into 0 0.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.829 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.829 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.829 * [taylor]: Taking taylor expansion of im in re 0.829 * [backup-simplify]: Simplify im into im 0.829 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.829 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.829 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.829 * [taylor]: Taking taylor expansion of re in re 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 1 into 1 0.830 * [backup-simplify]: Simplify (* 1 1) into 1 0.830 * [backup-simplify]: Simplify (/ 1 1) into 1 0.830 * [backup-simplify]: Simplify (+ 0 1) into 1 0.830 * [backup-simplify]: Simplify (sqrt 1) into 1 0.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (+ 0 0) into 0 0.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.832 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.832 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.832 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.832 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.832 * [taylor]: Taking taylor expansion of im in re 0.832 * [backup-simplify]: Simplify im into im 0.832 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.832 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.832 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.832 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.832 * [taylor]: Taking taylor expansion of re in re 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.833 * [backup-simplify]: Simplify (* 1 1) into 1 0.833 * [backup-simplify]: Simplify (/ 1 1) into 1 0.833 * [backup-simplify]: Simplify (+ 0 1) into 1 0.833 * [backup-simplify]: Simplify (sqrt 1) into 1 0.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.834 * [backup-simplify]: Simplify (+ 0 0) into 0 0.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.835 * [taylor]: Taking taylor expansion of 1 in im 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [taylor]: Taking taylor expansion of 0 in im 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.836 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.837 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.837 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.837 * [taylor]: Taking taylor expansion of 1/2 in im 0.837 * [backup-simplify]: Simplify 1/2 into 1/2 0.837 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.837 * [taylor]: Taking taylor expansion of im in im 0.837 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify 1 into 1 0.837 * [backup-simplify]: Simplify (* 1 1) into 1 0.837 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.840 * [backup-simplify]: Simplify (+ 0 0) into 0 0.840 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.840 * [taylor]: Taking taylor expansion of 0 in im 0.840 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.842 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.842 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.842 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.842 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.842 * [taylor]: Taking taylor expansion of im in im 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.843 * [backup-simplify]: Simplify (* 1 1) into 1 0.843 * [backup-simplify]: Simplify (/ 1 1) into 1 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.843 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.843 * [taylor]: Taking taylor expansion of re in im 0.843 * [backup-simplify]: Simplify re into re 0.843 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.843 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.843 * [backup-simplify]: Simplify (+ 1 0) into 1 0.843 * [backup-simplify]: Simplify (sqrt 1) into 1 0.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.844 * [backup-simplify]: Simplify (+ 0 0) into 0 0.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.845 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.845 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.845 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.845 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.845 * [taylor]: Taking taylor expansion of im in re 0.845 * [backup-simplify]: Simplify im into im 0.845 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.845 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.845 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.845 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.845 * [taylor]: Taking taylor expansion of re in re 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 1 into 1 0.845 * [backup-simplify]: Simplify (* 1 1) into 1 0.846 * [backup-simplify]: Simplify (/ 1 1) into 1 0.846 * [backup-simplify]: Simplify (+ 0 1) into 1 0.846 * [backup-simplify]: Simplify (sqrt 1) into 1 0.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.847 * [backup-simplify]: Simplify (+ 0 0) into 0 0.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.848 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.848 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.848 * [taylor]: Taking taylor expansion of im in re 0.848 * [backup-simplify]: Simplify im into im 0.848 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.848 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.848 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.848 * [taylor]: Taking taylor expansion of re in re 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 1 into 1 0.848 * [backup-simplify]: Simplify (* 1 1) into 1 0.848 * [backup-simplify]: Simplify (/ 1 1) into 1 0.849 * [backup-simplify]: Simplify (+ 0 1) into 1 0.849 * [backup-simplify]: Simplify (sqrt 1) into 1 0.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.850 * [backup-simplify]: Simplify (+ 0 0) into 0 0.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.850 * [taylor]: Taking taylor expansion of 1 in im 0.850 * [backup-simplify]: Simplify 1 into 1 0.850 * [taylor]: Taking taylor expansion of 0 in im 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 1 into 1 0.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.851 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.852 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.852 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.852 * [taylor]: Taking taylor expansion of 1/2 in im 0.852 * [backup-simplify]: Simplify 1/2 into 1/2 0.852 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.852 * [taylor]: Taking taylor expansion of im in im 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 1 into 1 0.852 * [backup-simplify]: Simplify (* 1 1) into 1 0.853 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.855 * [backup-simplify]: Simplify (+ 0 0) into 0 0.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.855 * [taylor]: Taking taylor expansion of 0 in im 0.855 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.857 * * * [progress]: simplifying candidates 0.859 * [simplify]: Simplifying: (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* 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(cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (log (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (exp (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (cbrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))))) (cbrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (* (* (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* 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(* (* (cbrt (- (* re re) (* im im))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (* (* (cbrt (- (* re re) (* im im))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (* (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im)))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* (* re re) (* re 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(sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) im re (* -1 re) 0.860 * [simplify]: Sending expressions to egg_math: (log (cbrt (+ (* h0 h0) (* h1 h1)))) (exp (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (cbrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt 1) (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (cbrt (+ (* (* h0 h0) (* h0 h0)) (- 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h0) (* h1 h1)))))) (sqrt (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (- (* h0 h0) (* h1 h1)))) (sqrt (* (* (cbrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))))) (sqrt (* (* (cbrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (- (* h0 h0) (* h1 h1)))) (/ (+ (+ 1/3 1/3) 1/3) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1/3) 1/3) 2) (/ (+ (* 2 1) 1) 2) (/ 1/3 2) (/ 1 2) (/ 1 2) (/ 3 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1) 1) 2) (/ 1 2) (sqrt (sqrt (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))))) (sqrt (sqrt (* (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1)))))) (+ (* 1/3 (* (pow h0 2) (pow (/ 1 (pow h1 4)) 1/3))) (pow h1 2/3)) (pow (/ 1 h0) -2/3) (pow (/ -1 h0) -2/3) (+ (* 1/3 (* (pow h0 2) (pow (/ 1 (pow h1 4)) 1/3))) (pow h1 2/3)) (pow (/ 1 h0) -2/3) (pow (/ -1 h0) -2/3) (+ (* 1/3 (* (pow h0 2) (pow (/ 1 (pow h1 4)) 1/3))) (pow h1 2/3)) (pow (/ 1 h0) -2/3) (pow (/ -1 h0) -2/3) h1 h0 (* -1 h0) 0.866 * * [simplify]: iteration 0 : 287 enodes (cost 1504 ) 0.871 * * [simplify]: iteration 1 : 701 enodes (cost 1463 ) 0.892 * * [simplify]: iteration 2 : 3066 enodes (cost 1446 ) 1.036 * * [simplify]: iteration 3 : 5001 enodes (cost 1379 ) 1.042 * * * [progress]: adding candidates to table 1.314 * * [progress]: iteration 3 / 4 1.314 * * * [progress]: picking best candidate 1.327 * * * * [pick]: Picked # 1.327 * * * [progress]: localizing error 1.341 * * * [progress]: generating rewritten candidates 1.341 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1) 1.349 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.394 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 1.404 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 1.413 * * * [progress]: generating series expansions 1.413 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1) 1.413 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.414 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.414 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.414 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.414 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.414 * [taylor]: Taking taylor expansion of re in im 1.414 * [backup-simplify]: Simplify re into re 1.414 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.414 * [taylor]: Taking taylor expansion of im in im 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify 1 into 1 1.414 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.414 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.414 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.414 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.415 * [backup-simplify]: Simplify (+ 0 0) into 0 1.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.415 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.415 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.415 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.415 * [taylor]: Taking taylor expansion of re in re 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 1 into 1 1.415 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.415 * [taylor]: Taking taylor expansion of im in re 1.415 * [backup-simplify]: Simplify im into im 1.415 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.415 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.415 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.415 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.415 * [backup-simplify]: Simplify (+ 0 0) into 0 1.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.415 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.415 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.415 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.415 * [taylor]: Taking taylor expansion of re in re 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 1 into 1 1.415 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.416 * [taylor]: Taking taylor expansion of im in re 1.416 * [backup-simplify]: Simplify im into im 1.416 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.416 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.416 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.416 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.416 * [backup-simplify]: Simplify (+ 0 0) into 0 1.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.417 * [taylor]: Taking taylor expansion of im in im 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 1 into 1 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [taylor]: Taking taylor expansion of 0 in im 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 1 into 1 1.417 * [backup-simplify]: Simplify (* 1 1) into 1 1.417 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.417 * [backup-simplify]: Simplify (+ 1 0) into 1 1.418 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.418 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.418 * [taylor]: Taking taylor expansion of 1/2 in im 1.418 * [backup-simplify]: Simplify 1/2 into 1/2 1.418 * [taylor]: Taking taylor expansion of im in im 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify 1 into 1 1.418 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.420 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.420 * [backup-simplify]: Simplify (+ 0 0) into 0 1.420 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.420 * [taylor]: Taking taylor expansion of 0 in im 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.421 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.421 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.421 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.421 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.421 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.421 * [taylor]: Taking taylor expansion of im in im 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 1 into 1 1.422 * [backup-simplify]: Simplify (* 1 1) into 1 1.422 * [backup-simplify]: Simplify (/ 1 1) into 1 1.422 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.422 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.422 * [taylor]: Taking taylor expansion of re in im 1.422 * [backup-simplify]: Simplify re into re 1.422 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.422 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.422 * [backup-simplify]: Simplify (+ 1 0) into 1 1.423 * [backup-simplify]: Simplify (sqrt 1) into 1 1.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.423 * [backup-simplify]: Simplify (+ 0 0) into 0 1.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.424 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.424 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.424 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.424 * [taylor]: Taking taylor expansion of im in re 1.424 * [backup-simplify]: Simplify im into im 1.424 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.424 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.424 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.424 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.424 * [taylor]: Taking taylor expansion of re in re 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify 1 into 1 1.424 * [backup-simplify]: Simplify (* 1 1) into 1 1.425 * [backup-simplify]: Simplify (/ 1 1) into 1 1.425 * [backup-simplify]: Simplify (+ 0 1) into 1 1.425 * [backup-simplify]: Simplify (sqrt 1) into 1 1.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.426 * [backup-simplify]: Simplify (+ 0 0) into 0 1.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.427 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.427 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.427 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.427 * [taylor]: Taking taylor expansion of im in re 1.427 * [backup-simplify]: Simplify im into im 1.427 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.427 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.427 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.427 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.427 * [taylor]: Taking taylor expansion of re in re 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify 1 into 1 1.427 * [backup-simplify]: Simplify (* 1 1) into 1 1.427 * [backup-simplify]: Simplify (/ 1 1) into 1 1.428 * [backup-simplify]: Simplify (+ 0 1) into 1 1.428 * [backup-simplify]: Simplify (sqrt 1) into 1 1.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.429 * [backup-simplify]: Simplify (+ 0 0) into 0 1.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.429 * [taylor]: Taking taylor expansion of 1 in im 1.429 * [backup-simplify]: Simplify 1 into 1 1.429 * [taylor]: Taking taylor expansion of 0 in im 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 1 into 1 1.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.430 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.431 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.431 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.431 * [taylor]: Taking taylor expansion of 1/2 in im 1.431 * [backup-simplify]: Simplify 1/2 into 1/2 1.431 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.431 * [taylor]: Taking taylor expansion of im in im 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify 1 into 1 1.432 * [backup-simplify]: Simplify (* 1 1) into 1 1.432 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.434 * [backup-simplify]: Simplify (+ 0 0) into 0 1.435 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.435 * [taylor]: Taking taylor expansion of 0 in im 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.436 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.436 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.436 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.436 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.436 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.436 * [taylor]: Taking taylor expansion of im in im 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 1 into 1 1.436 * [backup-simplify]: Simplify (* 1 1) into 1 1.437 * [backup-simplify]: Simplify (/ 1 1) into 1 1.437 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.437 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.437 * [taylor]: Taking taylor expansion of re in im 1.437 * [backup-simplify]: Simplify re into re 1.437 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.437 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.437 * [backup-simplify]: Simplify (+ 1 0) into 1 1.437 * [backup-simplify]: Simplify (sqrt 1) into 1 1.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.438 * [backup-simplify]: Simplify (+ 0 0) into 0 1.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.439 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.439 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.439 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.439 * [taylor]: Taking taylor expansion of im in re 1.439 * [backup-simplify]: Simplify im into im 1.439 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.439 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.439 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.439 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.439 * [taylor]: Taking taylor expansion of re in re 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify 1 into 1 1.440 * [backup-simplify]: Simplify (* 1 1) into 1 1.440 * [backup-simplify]: Simplify (/ 1 1) into 1 1.440 * [backup-simplify]: Simplify (+ 0 1) into 1 1.440 * [backup-simplify]: Simplify (sqrt 1) into 1 1.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.441 * [backup-simplify]: Simplify (+ 0 0) into 0 1.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.442 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.442 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.442 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.442 * [taylor]: Taking taylor expansion of im in re 1.442 * [backup-simplify]: Simplify im into im 1.442 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.442 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.442 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.442 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.442 * [taylor]: Taking taylor expansion of re in re 1.442 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify 1 into 1 1.442 * [backup-simplify]: Simplify (* 1 1) into 1 1.442 * [backup-simplify]: Simplify (/ 1 1) into 1 1.443 * [backup-simplify]: Simplify (+ 0 1) into 1 1.443 * [backup-simplify]: Simplify (sqrt 1) into 1 1.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.444 * [backup-simplify]: Simplify (+ 0 0) into 0 1.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.444 * [taylor]: Taking taylor expansion of 1 in im 1.444 * [backup-simplify]: Simplify 1 into 1 1.444 * [taylor]: Taking taylor expansion of 0 in im 1.444 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify 1 into 1 1.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.446 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.446 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.446 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.446 * [taylor]: Taking taylor expansion of 1/2 in im 1.446 * [backup-simplify]: Simplify 1/2 into 1/2 1.446 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.446 * [taylor]: Taking taylor expansion of im in im 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify 1 into 1 1.447 * [backup-simplify]: Simplify (* 1 1) into 1 1.447 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.448 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.449 * [backup-simplify]: Simplify (+ 0 0) into 0 1.450 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.450 * [taylor]: Taking taylor expansion of 0 in im 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.451 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.451 * [backup-simplify]: Simplify (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 1.451 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 1.451 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.451 * [taylor]: Taking taylor expansion of re in im 1.451 * [backup-simplify]: Simplify re into re 1.451 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.451 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.451 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.451 * [taylor]: Taking taylor expansion of re in im 1.451 * [backup-simplify]: Simplify re into re 1.451 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.451 * [taylor]: Taking taylor expansion of im in im 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify 1 into 1 1.451 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.451 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.452 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.452 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.452 * [backup-simplify]: Simplify (+ 0 0) into 0 1.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.452 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.452 * [taylor]: Taking taylor expansion of re in re 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 1 into 1 1.452 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.452 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.452 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.452 * [taylor]: Taking taylor expansion of re in re 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 1 into 1 1.452 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.452 * [taylor]: Taking taylor expansion of im in re 1.452 * [backup-simplify]: Simplify im into im 1.452 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.452 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.452 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.452 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.453 * [backup-simplify]: Simplify (+ 0 0) into 0 1.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.453 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.453 * [taylor]: Taking taylor expansion of re in re 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify 1 into 1 1.453 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.453 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.453 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.453 * [taylor]: Taking taylor expansion of re in re 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify 1 into 1 1.453 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.453 * [taylor]: Taking taylor expansion of im in re 1.453 * [backup-simplify]: Simplify im into im 1.453 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.453 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.453 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.453 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.453 * [backup-simplify]: Simplify (+ 0 0) into 0 1.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.454 * [backup-simplify]: Simplify (+ 0 im) into im 1.454 * [taylor]: Taking taylor expansion of im in im 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 1 into 1 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify (+ 1 0) into 1 1.454 * [taylor]: Taking taylor expansion of 1 in im 1.454 * [backup-simplify]: Simplify 1 into 1 1.454 * [backup-simplify]: Simplify 1 into 1 1.454 * [backup-simplify]: Simplify 1 into 1 1.454 * [backup-simplify]: Simplify (* 1 1) into 1 1.454 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.455 * [backup-simplify]: Simplify (+ 1 0) into 1 1.455 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.455 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 1.455 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.455 * [taylor]: Taking taylor expansion of 1/2 in im 1.455 * [backup-simplify]: Simplify 1/2 into 1/2 1.455 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.455 * [taylor]: Taking taylor expansion of im in im 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify 1 into 1 1.456 * [backup-simplify]: Simplify (/ 1 1) into 1 1.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.456 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.456 * [backup-simplify]: Simplify 0 into 0 1.456 * [backup-simplify]: Simplify 0 into 0 1.456 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.457 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.457 * [backup-simplify]: Simplify (+ 0 0) into 0 1.458 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.458 * [backup-simplify]: Simplify (+ 0 0) into 0 1.458 * [taylor]: Taking taylor expansion of 0 in im 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.459 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 1.459 * [backup-simplify]: Simplify (+ (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1.459 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.459 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.459 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.459 * [taylor]: Taking taylor expansion of re in im 1.459 * [backup-simplify]: Simplify re into re 1.459 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.459 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.460 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.460 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.460 * [taylor]: Taking taylor expansion of im in im 1.460 * [backup-simplify]: Simplify 0 into 0 1.460 * [backup-simplify]: Simplify 1 into 1 1.460 * [backup-simplify]: Simplify (* 1 1) into 1 1.460 * [backup-simplify]: Simplify (/ 1 1) into 1 1.460 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.460 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.460 * [taylor]: Taking taylor expansion of re in im 1.460 * [backup-simplify]: Simplify re into re 1.460 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.460 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.460 * [backup-simplify]: Simplify (+ 1 0) into 1 1.461 * [backup-simplify]: Simplify (sqrt 1) into 1 1.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.462 * [backup-simplify]: Simplify (+ 0 0) into 0 1.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.462 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.462 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.462 * [taylor]: Taking taylor expansion of re in re 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 1 into 1 1.462 * [backup-simplify]: Simplify (/ 1 1) into 1 1.462 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.462 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.462 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.462 * [taylor]: Taking taylor expansion of im in re 1.462 * [backup-simplify]: Simplify im into im 1.463 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.463 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.463 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.463 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.463 * [taylor]: Taking taylor expansion of re in re 1.463 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify 1 into 1 1.463 * [backup-simplify]: Simplify (* 1 1) into 1 1.463 * [backup-simplify]: Simplify (/ 1 1) into 1 1.463 * [backup-simplify]: Simplify (+ 0 1) into 1 1.464 * [backup-simplify]: Simplify (sqrt 1) into 1 1.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.465 * [backup-simplify]: Simplify (+ 0 0) into 0 1.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.465 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.465 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.465 * [taylor]: Taking taylor expansion of re in re 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 1 into 1 1.465 * [backup-simplify]: Simplify (/ 1 1) into 1 1.465 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.465 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.465 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.465 * [taylor]: Taking taylor expansion of im in re 1.465 * [backup-simplify]: Simplify im into im 1.465 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.466 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.466 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.466 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.466 * [taylor]: Taking taylor expansion of re in re 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 1 into 1 1.466 * [backup-simplify]: Simplify (* 1 1) into 1 1.466 * [backup-simplify]: Simplify (/ 1 1) into 1 1.466 * [backup-simplify]: Simplify (+ 0 1) into 1 1.467 * [backup-simplify]: Simplify (sqrt 1) into 1 1.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.468 * [backup-simplify]: Simplify (+ 0 0) into 0 1.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.468 * [backup-simplify]: Simplify (+ 1 1) into 2 1.468 * [taylor]: Taking taylor expansion of 2 in im 1.468 * [backup-simplify]: Simplify 2 into 2 1.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.473 * [backup-simplify]: Simplify (+ 0 0) into 0 1.473 * [taylor]: Taking taylor expansion of 0 in im 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify 2 into 2 1.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.475 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.476 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.476 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.476 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.476 * [taylor]: Taking taylor expansion of 1/2 in im 1.476 * [backup-simplify]: Simplify 1/2 into 1/2 1.476 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.476 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.476 * [taylor]: Taking taylor expansion of im in im 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify 1 into 1 1.476 * [backup-simplify]: Simplify (* 1 1) into 1 1.477 * [backup-simplify]: Simplify (/ 1 1) into 1 1.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.479 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.480 * [backup-simplify]: Simplify (+ 0 0) into 0 1.480 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.481 * [backup-simplify]: Simplify (+ 0 0) into 0 1.481 * [taylor]: Taking taylor expansion of 0 in im 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.482 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 1.483 * [backup-simplify]: Simplify (+ (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 1.483 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.483 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.483 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.483 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.483 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.483 * [taylor]: Taking taylor expansion of im in im 1.483 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify 1 into 1 1.483 * [backup-simplify]: Simplify (* 1 1) into 1 1.483 * [backup-simplify]: Simplify (/ 1 1) into 1 1.483 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.483 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.483 * [taylor]: Taking taylor expansion of re in im 1.483 * [backup-simplify]: Simplify re into re 1.483 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.484 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.484 * [backup-simplify]: Simplify (+ 1 0) into 1 1.484 * [backup-simplify]: Simplify (sqrt 1) into 1 1.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.485 * [backup-simplify]: Simplify (+ 0 0) into 0 1.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.485 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.485 * [taylor]: Taking taylor expansion of re in im 1.485 * [backup-simplify]: Simplify re into re 1.485 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.486 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.486 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.486 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.486 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.486 * [taylor]: Taking taylor expansion of im in re 1.486 * [backup-simplify]: Simplify im into im 1.486 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.486 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.486 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.486 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.486 * [taylor]: Taking taylor expansion of re in re 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 1 into 1 1.486 * [backup-simplify]: Simplify (* 1 1) into 1 1.486 * [backup-simplify]: Simplify (/ 1 1) into 1 1.487 * [backup-simplify]: Simplify (+ 0 1) into 1 1.487 * [backup-simplify]: Simplify (sqrt 1) into 1 1.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.488 * [backup-simplify]: Simplify (+ 0 0) into 0 1.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.488 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.488 * [taylor]: Taking taylor expansion of re in re 1.488 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify 1 into 1 1.488 * [backup-simplify]: Simplify (/ 1 1) into 1 1.488 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.488 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.488 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.489 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.489 * [taylor]: Taking taylor expansion of im in re 1.489 * [backup-simplify]: Simplify im into im 1.489 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.489 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.489 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.489 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.489 * [taylor]: Taking taylor expansion of re in re 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 1 into 1 1.489 * [backup-simplify]: Simplify (* 1 1) into 1 1.490 * [backup-simplify]: Simplify (/ 1 1) into 1 1.490 * [backup-simplify]: Simplify (+ 0 1) into 1 1.490 * [backup-simplify]: Simplify (sqrt 1) into 1 1.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.491 * [backup-simplify]: Simplify (+ 0 0) into 0 1.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.491 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.491 * [taylor]: Taking taylor expansion of re in re 1.491 * [backup-simplify]: Simplify 0 into 0 1.491 * [backup-simplify]: Simplify 1 into 1 1.492 * [backup-simplify]: Simplify (/ 1 1) into 1 1.492 * [backup-simplify]: Simplify (- 1) into -1 1.492 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.492 * [taylor]: Taking taylor expansion of 0 in im 1.492 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.493 * [backup-simplify]: Simplify (- 0) into 0 1.493 * [backup-simplify]: Simplify (+ 0 0) into 0 1.493 * [taylor]: Taking taylor expansion of 0 in im 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.494 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.495 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.496 * [backup-simplify]: Simplify (- 0) into 0 1.496 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.496 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.496 * [taylor]: Taking taylor expansion of 1/2 in im 1.496 * [backup-simplify]: Simplify 1/2 into 1/2 1.496 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.496 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.496 * [taylor]: Taking taylor expansion of im in im 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 1 into 1 1.497 * [backup-simplify]: Simplify (* 1 1) into 1 1.497 * [backup-simplify]: Simplify (/ 1 1) into 1 1.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.498 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.500 * [backup-simplify]: Simplify (+ 0 0) into 0 1.500 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.501 * [backup-simplify]: Simplify (- 0) into 0 1.501 * [backup-simplify]: Simplify (+ 0 0) into 0 1.501 * [taylor]: Taking taylor expansion of 0 in im 1.501 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 1.503 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 1.503 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.503 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.503 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.503 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.503 * [taylor]: Taking taylor expansion of re in im 1.503 * [backup-simplify]: Simplify re into re 1.503 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.503 * [taylor]: Taking taylor expansion of im in im 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 1 into 1 1.503 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.504 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.504 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.504 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.504 * [backup-simplify]: Simplify (+ 0 0) into 0 1.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.504 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.504 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.504 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.504 * [taylor]: Taking taylor expansion of re in re 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 1 into 1 1.504 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.504 * [taylor]: Taking taylor expansion of im in re 1.504 * [backup-simplify]: Simplify im into im 1.504 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.504 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.504 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.504 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.505 * [backup-simplify]: Simplify (+ 0 0) into 0 1.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.505 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.505 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.505 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.505 * [taylor]: Taking taylor expansion of re in re 1.505 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify 1 into 1 1.505 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.505 * [taylor]: Taking taylor expansion of im in re 1.505 * [backup-simplify]: Simplify im into im 1.505 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.505 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.505 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.505 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.505 * [backup-simplify]: Simplify (+ 0 0) into 0 1.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.506 * [taylor]: Taking taylor expansion of im in im 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 1 into 1 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [taylor]: Taking taylor expansion of 0 in im 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 1 into 1 1.506 * [backup-simplify]: Simplify (* 1 1) into 1 1.506 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.506 * [backup-simplify]: Simplify (+ 1 0) into 1 1.507 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.507 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.507 * [taylor]: Taking taylor expansion of 1/2 in im 1.507 * [backup-simplify]: Simplify 1/2 into 1/2 1.507 * [taylor]: Taking taylor expansion of im in im 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify 1 into 1 1.507 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.509 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.509 * [backup-simplify]: Simplify (+ 0 0) into 0 1.509 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.509 * [taylor]: Taking taylor expansion of 0 in im 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.510 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.510 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.510 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.510 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.510 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.510 * [taylor]: Taking taylor expansion of im in im 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify 1 into 1 1.510 * [backup-simplify]: Simplify (* 1 1) into 1 1.510 * [backup-simplify]: Simplify (/ 1 1) into 1 1.510 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.510 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.511 * [taylor]: Taking taylor expansion of re in im 1.511 * [backup-simplify]: Simplify re into re 1.511 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.511 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.511 * [backup-simplify]: Simplify (+ 1 0) into 1 1.511 * [backup-simplify]: Simplify (sqrt 1) into 1 1.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.512 * [backup-simplify]: Simplify (+ 0 0) into 0 1.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.513 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.513 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.513 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.513 * [taylor]: Taking taylor expansion of im in re 1.513 * [backup-simplify]: Simplify im into im 1.513 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.513 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.513 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.513 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.513 * [taylor]: Taking taylor expansion of re in re 1.513 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify 1 into 1 1.513 * [backup-simplify]: Simplify (* 1 1) into 1 1.513 * [backup-simplify]: Simplify (/ 1 1) into 1 1.514 * [backup-simplify]: Simplify (+ 0 1) into 1 1.514 * [backup-simplify]: Simplify (sqrt 1) into 1 1.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.515 * [backup-simplify]: Simplify (+ 0 0) into 0 1.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.515 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.515 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.515 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.515 * [taylor]: Taking taylor expansion of im in re 1.515 * [backup-simplify]: Simplify im into im 1.515 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.515 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.515 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.515 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.515 * [taylor]: Taking taylor expansion of re in re 1.515 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify 1 into 1 1.516 * [backup-simplify]: Simplify (* 1 1) into 1 1.516 * [backup-simplify]: Simplify (/ 1 1) into 1 1.516 * [backup-simplify]: Simplify (+ 0 1) into 1 1.516 * [backup-simplify]: Simplify (sqrt 1) into 1 1.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.517 * [backup-simplify]: Simplify (+ 0 0) into 0 1.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.518 * [taylor]: Taking taylor expansion of 1 in im 1.518 * [backup-simplify]: Simplify 1 into 1 1.518 * [taylor]: Taking taylor expansion of 0 in im 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify 1 into 1 1.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.519 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.520 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.520 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.520 * [taylor]: Taking taylor expansion of 1/2 in im 1.520 * [backup-simplify]: Simplify 1/2 into 1/2 1.520 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.520 * [taylor]: Taking taylor expansion of im in im 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify 1 into 1 1.520 * [backup-simplify]: Simplify (* 1 1) into 1 1.520 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.523 * [backup-simplify]: Simplify (+ 0 0) into 0 1.523 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.523 * [taylor]: Taking taylor expansion of 0 in im 1.523 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.525 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.525 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.525 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.525 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.525 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.525 * [taylor]: Taking taylor expansion of im in im 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify 1 into 1 1.525 * [backup-simplify]: Simplify (* 1 1) into 1 1.525 * [backup-simplify]: Simplify (/ 1 1) into 1 1.525 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.525 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.525 * [taylor]: Taking taylor expansion of re in im 1.525 * [backup-simplify]: Simplify re into re 1.525 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.525 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.526 * [backup-simplify]: Simplify (+ 1 0) into 1 1.526 * [backup-simplify]: Simplify (sqrt 1) into 1 1.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.527 * [backup-simplify]: Simplify (+ 0 0) into 0 1.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.527 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.527 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.527 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.527 * [taylor]: Taking taylor expansion of im in re 1.527 * [backup-simplify]: Simplify im into im 1.527 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.528 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.528 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.528 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.528 * [taylor]: Taking taylor expansion of re in re 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify 1 into 1 1.528 * [backup-simplify]: Simplify (* 1 1) into 1 1.528 * [backup-simplify]: Simplify (/ 1 1) into 1 1.528 * [backup-simplify]: Simplify (+ 0 1) into 1 1.529 * [backup-simplify]: Simplify (sqrt 1) into 1 1.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.530 * [backup-simplify]: Simplify (+ 0 0) into 0 1.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.530 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.530 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.530 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.530 * [taylor]: Taking taylor expansion of im in re 1.530 * [backup-simplify]: Simplify im into im 1.530 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.530 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.530 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.530 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.530 * [taylor]: Taking taylor expansion of re in re 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify 1 into 1 1.531 * [backup-simplify]: Simplify (* 1 1) into 1 1.531 * [backup-simplify]: Simplify (/ 1 1) into 1 1.531 * [backup-simplify]: Simplify (+ 0 1) into 1 1.531 * [backup-simplify]: Simplify (sqrt 1) into 1 1.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.532 * [backup-simplify]: Simplify (+ 0 0) into 0 1.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.533 * [taylor]: Taking taylor expansion of 1 in im 1.533 * [backup-simplify]: Simplify 1 into 1 1.533 * [taylor]: Taking taylor expansion of 0 in im 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 1 into 1 1.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.534 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.535 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.535 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.535 * [taylor]: Taking taylor expansion of 1/2 in im 1.535 * [backup-simplify]: Simplify 1/2 into 1/2 1.535 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.535 * [taylor]: Taking taylor expansion of im in im 1.535 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify 1 into 1 1.535 * [backup-simplify]: Simplify (* 1 1) into 1 1.535 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.538 * [backup-simplify]: Simplify (+ 0 0) into 0 1.538 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.538 * [taylor]: Taking taylor expansion of 0 in im 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.539 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1) 1.540 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 1.540 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 1.540 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.540 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.540 * [taylor]: Taking taylor expansion of re in im 1.540 * [backup-simplify]: Simplify re into re 1.540 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.540 * [taylor]: Taking taylor expansion of im in im 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 1 into 1 1.540 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.540 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.540 * [taylor]: Taking taylor expansion of re in re 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 1 into 1 1.540 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.540 * [taylor]: Taking taylor expansion of im in re 1.540 * [backup-simplify]: Simplify im into im 1.540 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.540 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.540 * [taylor]: Taking taylor expansion of re in re 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 1 into 1 1.540 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.540 * [taylor]: Taking taylor expansion of im in re 1.540 * [backup-simplify]: Simplify im into im 1.540 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.540 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.540 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.540 * [taylor]: Taking taylor expansion of im in im 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 1 into 1 1.540 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.540 * [backup-simplify]: Simplify (+ 0 0) into 0 1.540 * [taylor]: Taking taylor expansion of 0 in im 1.541 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify (* 1 1) into 1 1.541 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.541 * [backup-simplify]: Simplify (+ 1 0) into 1 1.541 * [taylor]: Taking taylor expansion of 1 in im 1.541 * [backup-simplify]: Simplify 1 into 1 1.541 * [backup-simplify]: Simplify 1 into 1 1.541 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify (* 1 1) into 1 1.542 * [backup-simplify]: Simplify 1 into 1 1.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.542 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.543 * [backup-simplify]: Simplify (+ 0 0) into 0 1.543 * [taylor]: Taking taylor expansion of 0 in im 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.543 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.544 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 1.544 * [backup-simplify]: Simplify (+ 0 0) into 0 1.545 * [taylor]: Taking taylor expansion of 0 in im 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 1.545 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1.545 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 1.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.545 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.545 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.545 * [taylor]: Taking taylor expansion of im in im 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 1 into 1 1.545 * [backup-simplify]: Simplify (* 1 1) into 1 1.546 * [backup-simplify]: Simplify (/ 1 1) into 1 1.546 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.546 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.546 * [taylor]: Taking taylor expansion of re in im 1.546 * [backup-simplify]: Simplify re into re 1.546 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.546 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.546 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.546 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.546 * [taylor]: Taking taylor expansion of im in re 1.546 * [backup-simplify]: Simplify im into im 1.546 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.546 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.546 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.546 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.546 * [taylor]: Taking taylor expansion of re in re 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 1 into 1 1.546 * [backup-simplify]: Simplify (* 1 1) into 1 1.547 * [backup-simplify]: Simplify (/ 1 1) into 1 1.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.547 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.547 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.547 * [taylor]: Taking taylor expansion of im in re 1.547 * [backup-simplify]: Simplify im into im 1.547 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.547 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.547 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.547 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.547 * [taylor]: Taking taylor expansion of re in re 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 1 into 1 1.547 * [backup-simplify]: Simplify (* 1 1) into 1 1.547 * [backup-simplify]: Simplify (/ 1 1) into 1 1.548 * [backup-simplify]: Simplify (+ 0 1) into 1 1.548 * [taylor]: Taking taylor expansion of 1 in im 1.548 * [backup-simplify]: Simplify 1 into 1 1.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.549 * [backup-simplify]: Simplify (+ 0 0) into 0 1.549 * [taylor]: Taking taylor expansion of 0 in im 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.550 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.550 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.550 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.550 * [taylor]: Taking taylor expansion of im in im 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 1 into 1 1.550 * [backup-simplify]: Simplify (* 1 1) into 1 1.550 * [backup-simplify]: Simplify (/ 1 1) into 1 1.550 * [backup-simplify]: Simplify 1 into 1 1.550 * [backup-simplify]: Simplify 1 into 1 1.550 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.552 * [backup-simplify]: Simplify (+ 0 0) into 0 1.552 * [taylor]: Taking taylor expansion of 0 in im 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 1.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.555 * [backup-simplify]: Simplify (+ 0 0) into 0 1.555 * [taylor]: Taking taylor expansion of 0 in im 1.555 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.556 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 1.556 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1.556 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 1.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.556 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.556 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.556 * [taylor]: Taking taylor expansion of im in im 1.556 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify 1 into 1 1.557 * [backup-simplify]: Simplify (* 1 1) into 1 1.557 * [backup-simplify]: Simplify (/ 1 1) into 1 1.557 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.557 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.557 * [taylor]: Taking taylor expansion of re in im 1.557 * [backup-simplify]: Simplify re into re 1.557 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.557 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.557 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.557 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.557 * [taylor]: Taking taylor expansion of im in re 1.557 * [backup-simplify]: Simplify im into im 1.557 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.557 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.557 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.557 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.557 * [taylor]: Taking taylor expansion of re in re 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 1 into 1 1.558 * [backup-simplify]: Simplify (* 1 1) into 1 1.558 * [backup-simplify]: Simplify (/ 1 1) into 1 1.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.558 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.558 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.558 * [taylor]: Taking taylor expansion of im in re 1.558 * [backup-simplify]: Simplify im into im 1.558 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.558 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.558 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.558 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.558 * [taylor]: Taking taylor expansion of re in re 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify 1 into 1 1.558 * [backup-simplify]: Simplify (* 1 1) into 1 1.559 * [backup-simplify]: Simplify (/ 1 1) into 1 1.559 * [backup-simplify]: Simplify (+ 0 1) into 1 1.559 * [taylor]: Taking taylor expansion of 1 in im 1.559 * [backup-simplify]: Simplify 1 into 1 1.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.560 * [backup-simplify]: Simplify (+ 0 0) into 0 1.560 * [taylor]: Taking taylor expansion of 0 in im 1.560 * [backup-simplify]: Simplify 0 into 0 1.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.561 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.561 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.561 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.561 * [taylor]: Taking taylor expansion of im in im 1.561 * [backup-simplify]: Simplify 0 into 0 1.561 * [backup-simplify]: Simplify 1 into 1 1.561 * [backup-simplify]: Simplify (* 1 1) into 1 1.562 * [backup-simplify]: Simplify (/ 1 1) into 1 1.562 * [backup-simplify]: Simplify 1 into 1 1.562 * [backup-simplify]: Simplify 1 into 1 1.562 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.563 * [backup-simplify]: Simplify (+ 0 0) into 0 1.563 * [taylor]: Taking taylor expansion of 0 in im 1.563 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 1.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.566 * [backup-simplify]: Simplify (+ 0 0) into 0 1.566 * [taylor]: Taking taylor expansion of 0 in im 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 1.567 * * * [progress]: simplifying candidates 1.573 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (exp (exp (log (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (exp (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (* (* (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (+ (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re))) (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re)) (- (exp (log (sqrt (+ (* re re) (* im im))))) re) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (exp (log (sqrt (cbrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log 1)) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (exp (log (sqrt (- (* re re) (* im im))))) (log (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (exp (log (sqrt (+ (* re re) (* im im)))))) (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 1.574 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (exp (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp h0)) (log (+ (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (exp (+ (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (* (cbrt (+ (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (cbrt (+ (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0))) (cbrt (+ (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (* (* (+ (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0) (+ (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (+ (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (sqrt (+ (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (sqrt (+ (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (+ (pow (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) 3) (pow h0 3)) (+ (* (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (- (* h0 h0) (* (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0))) (- (* (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (* h0 h0)) (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0) (+ (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (log (sqrt (+ (* h0 h0) (* h1 h1))))))) (exp (sqrt (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))) (exp (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))))) (exp (log (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log 1)) (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))))) (exp (log (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))))) (exp (log (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))))) (exp (log (sqrt (- (* h0 h0) (* h1 h1))))) (log (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (* (cbrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (cbrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))))) (cbrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (* (* (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (* (exp (* h0 h0)) (exp (* h1 h1))) (log (+ (* h0 h0) (* h1 h1))) (exp (+ (* h0 h0) (* h1 h1))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (* h0 h0) (* h1 h1)) h1 h0 (* -1 h0) (+ h0 h1) (* 2 h0) 0 h1 h0 (* -1 h0) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) 1.579 * * [simplify]: iteration 0 : 225 enodes (cost 472 ) 1.583 * * [simplify]: iteration 1 : 761 enodes (cost 420 ) 1.594 * * [simplify]: iteration 2 : 2155 enodes (cost 403 ) 1.636 * * [simplify]: iteration 3 : 5002 enodes (cost 394 ) 1.639 * * * [progress]: adding candidates to table 1.817 * * [progress]: iteration 4 / 4 1.818 * * * [progress]: picking best candidate 1.838 * * * * [pick]: Picked # 1.838 * * * [progress]: localizing error 1.858 * * * [progress]: generating rewritten candidates 1.858 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2) 1.865 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.910 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 1.921 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1) 1.930 * * * [progress]: generating series expansions 1.930 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2) 1.931 * [backup-simplify]: Simplify (log (+ (* re re) (* im im))) into (log (+ (pow re 2) (pow im 2))) 1.931 * [approximate]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in (re im) around 0 1.931 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 1.931 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.931 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.931 * [taylor]: Taking taylor expansion of re in im 1.931 * [backup-simplify]: Simplify re into re 1.931 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.931 * [taylor]: Taking taylor expansion of im in im 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 1 into 1 1.931 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.931 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.931 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 1.931 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.931 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.931 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.931 * [taylor]: Taking taylor expansion of re in re 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 1 into 1 1.931 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.931 * [taylor]: Taking taylor expansion of im in re 1.931 * [backup-simplify]: Simplify im into im 1.931 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.931 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.931 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 1.931 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.931 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.931 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.931 * [taylor]: Taking taylor expansion of re in re 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 1 into 1 1.931 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.931 * [taylor]: Taking taylor expansion of im in re 1.931 * [backup-simplify]: Simplify im into im 1.932 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.932 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.932 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 1.932 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 1.932 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.932 * [taylor]: Taking taylor expansion of im in im 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 1 into 1 1.932 * [backup-simplify]: Simplify (* 1 1) into 1 1.933 * [backup-simplify]: Simplify (log 1) into 0 1.933 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.933 * [backup-simplify]: Simplify (* 2 (log im)) into (* 2 (log im)) 1.933 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.933 * [backup-simplify]: Simplify (+ 0 0) into 0 1.934 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 1.934 * [taylor]: Taking taylor expansion of 0 in im 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.935 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify (* 1 1) into 1 1.936 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.936 * [backup-simplify]: Simplify (+ 1 0) into 1 1.937 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 1.937 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.937 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.937 * [taylor]: Taking taylor expansion of im in im 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 1 into 1 1.937 * [backup-simplify]: Simplify (* 1 1) into 1 1.938 * [backup-simplify]: Simplify (/ 1 1) into 1 1.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.942 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.943 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.943 * [backup-simplify]: Simplify (+ 0 0) into 0 1.945 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 1.945 * [taylor]: Taking taylor expansion of 0 in im 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify (* 2 (log im)) into (* 2 (log im)) 1.945 * [backup-simplify]: Simplify (log (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.945 * [approximate]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.945 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.945 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.945 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.945 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.945 * [taylor]: Taking taylor expansion of im in im 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 1 into 1 1.945 * [backup-simplify]: Simplify (* 1 1) into 1 1.945 * [backup-simplify]: Simplify (/ 1 1) into 1 1.946 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.946 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.946 * [taylor]: Taking taylor expansion of re in im 1.946 * [backup-simplify]: Simplify re into re 1.946 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.946 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.946 * [backup-simplify]: Simplify (+ 1 0) into 1 1.946 * [backup-simplify]: Simplify (log 1) into 0 1.946 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.946 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.946 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.946 * [taylor]: Taking taylor expansion of im in re 1.946 * [backup-simplify]: Simplify im into im 1.946 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.946 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.946 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.947 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.947 * [taylor]: Taking taylor expansion of re in re 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 1 into 1 1.947 * [backup-simplify]: Simplify (* 1 1) into 1 1.947 * [backup-simplify]: Simplify (/ 1 1) into 1 1.947 * [backup-simplify]: Simplify (+ 0 1) into 1 1.947 * [backup-simplify]: Simplify (log 1) into 0 1.947 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.948 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.948 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.948 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.948 * [taylor]: Taking taylor expansion of im in re 1.948 * [backup-simplify]: Simplify im into im 1.948 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.948 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.948 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.948 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.948 * [taylor]: Taking taylor expansion of re in re 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (* 1 1) into 1 1.948 * [backup-simplify]: Simplify (/ 1 1) into 1 1.949 * [backup-simplify]: Simplify (+ 0 1) into 1 1.949 * [backup-simplify]: Simplify (log 1) into 0 1.949 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.949 * [taylor]: Taking taylor expansion of (- (* 2 (log re))) in im 1.949 * [taylor]: Taking taylor expansion of (* 2 (log re)) in im 1.949 * [taylor]: Taking taylor expansion of 2 in im 1.949 * [backup-simplify]: Simplify 2 into 2 1.949 * [taylor]: Taking taylor expansion of (log re) in im 1.949 * [taylor]: Taking taylor expansion of re in im 1.949 * [backup-simplify]: Simplify re into re 1.949 * [backup-simplify]: Simplify (log re) into (log re) 1.949 * [backup-simplify]: Simplify (* 2 (log re)) into (* 2 (log re)) 1.949 * [backup-simplify]: Simplify (- (* 2 (log re))) into (- (* 2 (log re))) 1.949 * [backup-simplify]: Simplify (- (* 2 (log re))) into (- (* 2 (log re))) 1.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.950 * [backup-simplify]: Simplify (+ 0 0) into 0 1.951 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.951 * [taylor]: Taking taylor expansion of 0 in im 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.952 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log re))) into 0 1.952 * [backup-simplify]: Simplify (- 0) into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.953 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.955 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 1.955 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.955 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.955 * [taylor]: Taking taylor expansion of im in im 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 1 into 1 1.955 * [backup-simplify]: Simplify (* 1 1) into 1 1.955 * [backup-simplify]: Simplify (/ 1 1) into 1 1.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.958 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.959 * [backup-simplify]: Simplify (- 0) into 0 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.960 * [backup-simplify]: Simplify (+ 0 0) into 0 1.962 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.962 * [taylor]: Taking taylor expansion of 0 in im 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify (- (* 2 (log (/ 1 re)))) into (- (* 2 (log (/ 1 re)))) 1.963 * [backup-simplify]: Simplify (log (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.963 * [approximate]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.963 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.963 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.963 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.963 * [taylor]: Taking taylor expansion of im in im 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [backup-simplify]: Simplify (* 1 1) into 1 1.963 * [backup-simplify]: Simplify (/ 1 1) into 1 1.963 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.963 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.963 * [taylor]: Taking taylor expansion of re in im 1.963 * [backup-simplify]: Simplify re into re 1.963 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.963 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.964 * [backup-simplify]: Simplify (+ 1 0) into 1 1.964 * [backup-simplify]: Simplify (log 1) into 0 1.964 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.964 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.964 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.964 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.964 * [taylor]: Taking taylor expansion of im in re 1.964 * [backup-simplify]: Simplify im into im 1.964 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.964 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.964 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.964 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.964 * [taylor]: Taking taylor expansion of re in re 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 1 into 1 1.964 * [backup-simplify]: Simplify (* 1 1) into 1 1.965 * [backup-simplify]: Simplify (/ 1 1) into 1 1.965 * [backup-simplify]: Simplify (+ 0 1) into 1 1.965 * [backup-simplify]: Simplify (log 1) into 0 1.965 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.965 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.965 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.965 * [taylor]: Taking taylor expansion of im in re 1.965 * [backup-simplify]: Simplify im into im 1.965 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.965 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.965 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.965 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.965 * [taylor]: Taking taylor expansion of re in re 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 1 into 1 1.966 * [backup-simplify]: Simplify (* 1 1) into 1 1.966 * [backup-simplify]: Simplify (/ 1 1) into 1 1.966 * [backup-simplify]: Simplify (+ 0 1) into 1 1.966 * [backup-simplify]: Simplify (log 1) into 0 1.967 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.967 * [taylor]: Taking taylor expansion of (- (* 2 (log re))) in im 1.967 * [taylor]: Taking taylor expansion of (* 2 (log re)) in im 1.967 * [taylor]: Taking taylor expansion of 2 in im 1.967 * [backup-simplify]: Simplify 2 into 2 1.967 * [taylor]: Taking taylor expansion of (log re) in im 1.967 * [taylor]: Taking taylor expansion of re in im 1.967 * [backup-simplify]: Simplify re into re 1.967 * [backup-simplify]: Simplify (log re) into (log re) 1.967 * [backup-simplify]: Simplify (* 2 (log re)) into (* 2 (log re)) 1.967 * [backup-simplify]: Simplify (- (* 2 (log re))) into (- (* 2 (log re))) 1.967 * [backup-simplify]: Simplify (- (* 2 (log re))) into (- (* 2 (log re))) 1.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.968 * [backup-simplify]: Simplify (+ 0 0) into 0 1.969 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.969 * [taylor]: Taking taylor expansion of 0 in im 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.970 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log re))) into 0 1.970 * [backup-simplify]: Simplify (- 0) into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.971 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.972 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 1.972 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.972 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.972 * [taylor]: Taking taylor expansion of im in im 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.973 * [backup-simplify]: Simplify (* 1 1) into 1 1.973 * [backup-simplify]: Simplify (/ 1 1) into 1 1.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.981 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.981 * [backup-simplify]: Simplify (- 0) into 0 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.983 * [backup-simplify]: Simplify (+ 0 0) into 0 1.985 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.985 * [taylor]: Taking taylor expansion of 0 in im 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify (- (* 2 (log (/ 1 (- re))))) into (- (* 2 (log (/ -1 re)))) 1.985 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.985 * [backup-simplify]: Simplify (+ (pow (exp 1/2) (log (+ (* re re) (* im im)))) re) into (+ (pow (exp 1/2) (log (+ (pow re 2) (pow im 2)))) re) 1.985 * [approximate]: Taking taylor expansion of (+ (pow (exp 1/2) (log (+ (pow re 2) (pow im 2)))) re) in (re im) around 0 1.985 * [taylor]: Taking taylor expansion of (+ (pow (exp 1/2) (log (+ (pow re 2) (pow im 2)))) re) in im 1.985 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (pow re 2) (pow im 2)))) in im 1.985 * [taylor]: Taking taylor expansion of (exp (* (log (+ (pow re 2) (pow im 2))) (log (exp 1/2)))) in im 1.986 * [taylor]: Taking taylor expansion of (* (log (+ (pow re 2) (pow im 2))) (log (exp 1/2))) in im 1.986 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 1.986 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.986 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.986 * [taylor]: Taking taylor expansion of re in im 1.986 * [backup-simplify]: Simplify re into re 1.986 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.986 * [taylor]: Taking taylor expansion of im in im 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify 1 into 1 1.986 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.986 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.986 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 1.986 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in im 1.986 * [taylor]: Taking taylor expansion of (exp 1/2) in im 1.986 * [taylor]: Taking taylor expansion of 1/2 in im 1.986 * [backup-simplify]: Simplify 1/2 into 1/2 1.986 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 1.987 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 1.987 * [backup-simplify]: Simplify (* (log (pow re 2)) 1/2) into (* 1/2 (log (pow re 2))) 1.987 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow re 2)))) into (pow (pow re 2) 1/2) 1.987 * [taylor]: Taking taylor expansion of re in im 1.987 * [backup-simplify]: Simplify re into re 1.987 * [taylor]: Taking taylor expansion of (+ (pow (exp 1/2) (log (+ (pow re 2) (pow im 2)))) re) in re 1.987 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (pow re 2) (pow im 2)))) in re 1.987 * [taylor]: Taking taylor expansion of (exp (* (log (+ (pow re 2) (pow im 2))) (log (exp 1/2)))) in re 1.987 * [taylor]: Taking taylor expansion of (* (log (+ (pow re 2) (pow im 2))) (log (exp 1/2))) in re 1.987 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.987 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.987 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.987 * [taylor]: Taking taylor expansion of re in re 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 1 into 1 1.987 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.987 * [taylor]: Taking taylor expansion of im in re 1.987 * [backup-simplify]: Simplify im into im 1.987 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.987 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.987 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 1.987 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in re 1.987 * [taylor]: Taking taylor expansion of (exp 1/2) in re 1.987 * [taylor]: Taking taylor expansion of 1/2 in re 1.987 * [backup-simplify]: Simplify 1/2 into 1/2 1.988 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 1.988 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 1.988 * [backup-simplify]: Simplify (* (log (pow im 2)) 1/2) into (* 1/2 (log (pow im 2))) 1.988 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow im 2)))) into (pow (pow im 2) 1/2) 1.988 * [taylor]: Taking taylor expansion of re in re 1.988 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 1 into 1 1.989 * [taylor]: Taking taylor expansion of (+ (pow (exp 1/2) (log (+ (pow re 2) (pow im 2)))) re) in re 1.989 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (pow re 2) (pow im 2)))) in re 1.989 * [taylor]: Taking taylor expansion of (exp (* (log (+ (pow re 2) (pow im 2))) (log (exp 1/2)))) in re 1.989 * [taylor]: Taking taylor expansion of (* (log (+ (pow re 2) (pow im 2))) (log (exp 1/2))) in re 1.989 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.989 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.989 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.989 * [taylor]: Taking taylor expansion of re in re 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 1 into 1 1.989 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.989 * [taylor]: Taking taylor expansion of im in re 1.989 * [backup-simplify]: Simplify im into im 1.989 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.989 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.989 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 1.989 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in re 1.989 * [taylor]: Taking taylor expansion of (exp 1/2) in re 1.989 * [taylor]: Taking taylor expansion of 1/2 in re 1.989 * [backup-simplify]: Simplify 1/2 into 1/2 1.989 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 1.990 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 1.990 * [backup-simplify]: Simplify (* (log (pow im 2)) 1/2) into (* 1/2 (log (pow im 2))) 1.990 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow im 2)))) into (pow (pow im 2) 1/2) 1.990 * [taylor]: Taking taylor expansion of re in re 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [backup-simplify]: Simplify (+ (pow (pow im 2) 1/2) 0) into (pow (pow im 2) 1/2) 1.990 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/2) in im 1.990 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (pow im 2)))) in im 1.990 * [taylor]: Taking taylor expansion of (* 1/2 (log (pow im 2))) in im 1.990 * [taylor]: Taking taylor expansion of 1/2 in im 1.990 * [backup-simplify]: Simplify 1/2 into 1/2 1.990 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 1.990 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.990 * [taylor]: Taking taylor expansion of im in im 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.991 * [backup-simplify]: Simplify (* 1 1) into 1 1.991 * [backup-simplify]: Simplify (log 1) into 0 1.991 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.991 * [backup-simplify]: Simplify (* 1/2 (* 2 (log im))) into (log im) 1.991 * [backup-simplify]: Simplify (exp (log im)) into im 1.991 * [backup-simplify]: Simplify im into im 1.992 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 1) 1)))) into 0 1.993 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp 1/2) 1)))) 1) into 0 1.993 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.993 * [backup-simplify]: Simplify (+ 0 0) into 0 1.994 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 1.994 * [backup-simplify]: Simplify (+ (* (log (pow im 2)) 0) (* 0 1/2)) into 0 1.995 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.995 * [backup-simplify]: Simplify (+ 0 1) into 1 1.995 * [taylor]: Taking taylor expansion of 1 in im 1.995 * [backup-simplify]: Simplify 1 into 1 1.995 * [backup-simplify]: Simplify 1 into 1 1.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.996 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.996 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.997 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* 2 (log im)))) into 0 1.997 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.997 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.000 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp 1/2) 1)))) 2) into 0 2.000 * [backup-simplify]: Simplify (* 1 1) into 1 2.000 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.001 * [backup-simplify]: Simplify (+ 1 0) into 1 2.002 * [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)) 2.003 * [backup-simplify]: Simplify (+ (* (log (pow im 2)) 0) (+ (* 0 0) (* (/ 1 (pow im 2)) 1/2))) into (* 1/2 (/ 1 (pow im 2))) 2.003 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 im) 2.004 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 2.004 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.004 * [taylor]: Taking taylor expansion of 1/2 in im 2.004 * [backup-simplify]: Simplify 1/2 into 1/2 2.004 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.004 * [taylor]: Taking taylor expansion of im in im 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.004 * [backup-simplify]: Simplify (/ 1 1) into 1 2.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.005 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.007 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.007 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 2.009 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.012 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp 1/2) 1)))) 6) into 0 2.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.013 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.013 * [backup-simplify]: Simplify (+ 0 0) into 0 2.015 * [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 2.016 * [backup-simplify]: Simplify (+ (* (log (pow im 2)) 0) (+ (* 0 0) (+ (* (/ 1 (pow im 2)) 0) (* 0 1/2)))) into 0 2.017 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.017 * [backup-simplify]: Simplify (+ 0 0) into 0 2.018 * [taylor]: Taking taylor expansion of 0 in im 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.019 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify (+ (* 1 (* 1 re)) im) into (+ re im) 2.020 * [backup-simplify]: Simplify (+ (pow (exp 1/2) (log (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (/ 1 re)) into (+ (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (/ 1 re)) 2.020 * [approximate]: Taking taylor expansion of (+ (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (/ 1 re)) in (re im) around 0 2.020 * [taylor]: Taking taylor expansion of (+ (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (/ 1 re)) in im 2.020 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.020 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2)))) in im 2.020 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2))) in im 2.020 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.020 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.020 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.020 * [taylor]: Taking taylor expansion of im in im 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 1 into 1 2.020 * [backup-simplify]: Simplify (* 1 1) into 1 2.020 * [backup-simplify]: Simplify (/ 1 1) into 1 2.020 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.020 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.020 * [taylor]: Taking taylor expansion of re in im 2.020 * [backup-simplify]: Simplify re into re 2.020 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.020 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.021 * [backup-simplify]: Simplify (+ 1 0) into 1 2.021 * [backup-simplify]: Simplify (log 1) into 0 2.021 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in im 2.021 * [taylor]: Taking taylor expansion of (exp 1/2) in im 2.021 * [taylor]: Taking taylor expansion of 1/2 in im 2.021 * [backup-simplify]: Simplify 1/2 into 1/2 2.021 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.022 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.022 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 2.022 * [backup-simplify]: Simplify (* (- (* 2 (log im))) 1/2) into (* -1 (log im)) 2.022 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1) 2.022 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.022 * [taylor]: Taking taylor expansion of re in im 2.022 * [backup-simplify]: Simplify re into re 2.022 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.022 * [taylor]: Taking taylor expansion of (+ (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (/ 1 re)) in re 2.022 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.022 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2)))) in re 2.022 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2))) in re 2.022 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.023 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.023 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.023 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.023 * [taylor]: Taking taylor expansion of im in re 2.023 * [backup-simplify]: Simplify im into im 2.023 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.023 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.023 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.023 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.023 * [taylor]: Taking taylor expansion of re in re 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [backup-simplify]: Simplify (* 1 1) into 1 2.023 * [backup-simplify]: Simplify (/ 1 1) into 1 2.023 * [backup-simplify]: Simplify (+ 0 1) into 1 2.024 * [backup-simplify]: Simplify (log 1) into 0 2.024 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in re 2.024 * [taylor]: Taking taylor expansion of (exp 1/2) in re 2.024 * [taylor]: Taking taylor expansion of 1/2 in re 2.024 * [backup-simplify]: Simplify 1/2 into 1/2 2.024 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.025 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.025 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.025 * [backup-simplify]: Simplify (* (- (* 2 (log re))) 1/2) into (* -1 (log re)) 2.025 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 2.025 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.025 * [taylor]: Taking taylor expansion of re in re 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 1 into 1 2.025 * [backup-simplify]: Simplify (/ 1 1) into 1 2.025 * [taylor]: Taking taylor expansion of (+ (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (/ 1 re)) in re 2.025 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.025 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2)))) in re 2.025 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2))) in re 2.025 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.025 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.025 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.025 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.025 * [taylor]: Taking taylor expansion of im in re 2.025 * [backup-simplify]: Simplify im into im 2.026 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.026 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.026 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.026 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.026 * [taylor]: Taking taylor expansion of re in re 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 1 into 1 2.026 * [backup-simplify]: Simplify (* 1 1) into 1 2.026 * [backup-simplify]: Simplify (/ 1 1) into 1 2.026 * [backup-simplify]: Simplify (+ 0 1) into 1 2.027 * [backup-simplify]: Simplify (log 1) into 0 2.027 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in re 2.027 * [taylor]: Taking taylor expansion of (exp 1/2) in re 2.027 * [taylor]: Taking taylor expansion of 1/2 in re 2.027 * [backup-simplify]: Simplify 1/2 into 1/2 2.027 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.027 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.028 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.028 * [backup-simplify]: Simplify (* (- (* 2 (log re))) 1/2) into (* -1 (log re)) 2.028 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 2.028 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.028 * [taylor]: Taking taylor expansion of re in re 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.028 * [backup-simplify]: Simplify (/ 1 1) into 1 2.028 * [backup-simplify]: Simplify (+ 0 1) into 1 2.028 * [taylor]: Taking taylor expansion of 1 in im 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.029 * [backup-simplify]: Simplify (+ (pow re -1) 0) into (pow re -1) 2.029 * [taylor]: Taking taylor expansion of (pow re -1) in im 2.029 * [taylor]: Taking taylor expansion of re in im 2.029 * [backup-simplify]: Simplify re into re 2.029 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.029 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.029 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.030 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 1) 1)))) into 0 2.031 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp 1/2) 1)))) 1) into 0 2.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.032 * [backup-simplify]: Simplify (+ 0 0) into 0 2.033 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.033 * [backup-simplify]: Simplify (+ (* (- (* 2 (log re))) 0) (* 0 1/2)) into 0 2.034 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.034 * [backup-simplify]: Simplify (+ 0 0) into 0 2.034 * [taylor]: Taking taylor expansion of 0 in im 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.036 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.037 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp 1/2) 1)))) 2) into 0 2.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.039 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.040 * [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)) 2.041 * [backup-simplify]: Simplify (+ (* (- (* 2 (log re))) 0) (+ (* 0 0) (* (/ 1 (pow im 2)) 1/2))) into (* 1/2 (/ 1 (pow im 2))) 2.041 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 (* re (pow im 2))) 2.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.042 * [backup-simplify]: Simplify (+ (/ 1/2 (* re (pow im 2))) 0) into (* 1/2 (/ 1 (* re (pow im 2)))) 2.042 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re (pow im 2)))) in im 2.042 * [taylor]: Taking taylor expansion of 1/2 in im 2.042 * [backup-simplify]: Simplify 1/2 into 1/2 2.042 * [taylor]: Taking taylor expansion of (/ 1 (* re (pow im 2))) in im 2.042 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im 2.042 * [taylor]: Taking taylor expansion of re in im 2.042 * [backup-simplify]: Simplify re into re 2.042 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.042 * [taylor]: Taking taylor expansion of im in im 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 1 into 1 2.042 * [backup-simplify]: Simplify (* 1 1) into 1 2.043 * [backup-simplify]: Simplify (* re 1) into re 2.043 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.044 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 1))) into 0 2.044 * [backup-simplify]: Simplify (+ (* re 0) (* 0 1)) into 0 2.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 re)))) into 0 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify (+ (/ 1 (/ 1 re)) (* 1 (* 1 (/ 1 (/ 1 re))))) into (* 2 re) 2.046 * [backup-simplify]: Simplify (+ (pow (exp 1/2) (log (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (/ 1 (- re))) into (- (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (/ 1 re)) 2.046 * [approximate]: Taking taylor expansion of (- (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (/ 1 re)) in (re im) around 0 2.046 * [taylor]: Taking taylor expansion of (- (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (/ 1 re)) in im 2.046 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.046 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2)))) in im 2.046 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2))) in im 2.046 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.046 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.046 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.046 * [taylor]: Taking taylor expansion of im in im 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify 1 into 1 2.046 * [backup-simplify]: Simplify (* 1 1) into 1 2.046 * [backup-simplify]: Simplify (/ 1 1) into 1 2.046 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.046 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.046 * [taylor]: Taking taylor expansion of re in im 2.046 * [backup-simplify]: Simplify re into re 2.046 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.047 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.047 * [backup-simplify]: Simplify (+ 1 0) into 1 2.047 * [backup-simplify]: Simplify (log 1) into 0 2.047 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in im 2.047 * [taylor]: Taking taylor expansion of (exp 1/2) in im 2.047 * [taylor]: Taking taylor expansion of 1/2 in im 2.047 * [backup-simplify]: Simplify 1/2 into 1/2 2.047 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.048 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.048 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 2.048 * [backup-simplify]: Simplify (* (- (* 2 (log im))) 1/2) into (* -1 (log im)) 2.048 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1) 2.048 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.048 * [taylor]: Taking taylor expansion of re in im 2.048 * [backup-simplify]: Simplify re into re 2.048 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.048 * [taylor]: Taking taylor expansion of (- (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (/ 1 re)) in re 2.048 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.048 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2)))) in re 2.048 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2))) in re 2.048 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.049 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.049 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.049 * [taylor]: Taking taylor expansion of im in re 2.049 * [backup-simplify]: Simplify im into im 2.049 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.049 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.049 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.049 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.049 * [taylor]: Taking taylor expansion of re in re 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 1 into 1 2.049 * [backup-simplify]: Simplify (* 1 1) into 1 2.049 * [backup-simplify]: Simplify (/ 1 1) into 1 2.050 * [backup-simplify]: Simplify (+ 0 1) into 1 2.050 * [backup-simplify]: Simplify (log 1) into 0 2.050 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in re 2.050 * [taylor]: Taking taylor expansion of (exp 1/2) in re 2.050 * [taylor]: Taking taylor expansion of 1/2 in re 2.050 * [backup-simplify]: Simplify 1/2 into 1/2 2.050 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.051 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.051 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.051 * [backup-simplify]: Simplify (* (- (* 2 (log re))) 1/2) into (* -1 (log re)) 2.051 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 2.051 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.051 * [taylor]: Taking taylor expansion of re in re 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 1 into 1 2.051 * [backup-simplify]: Simplify (/ 1 1) into 1 2.051 * [taylor]: Taking taylor expansion of (- (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (/ 1 re)) in re 2.051 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.051 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2)))) in re 2.051 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2))) in re 2.051 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.051 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.051 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.051 * [taylor]: Taking taylor expansion of im in re 2.051 * [backup-simplify]: Simplify im into im 2.052 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.052 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.052 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.052 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.052 * [taylor]: Taking taylor expansion of re in re 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify 1 into 1 2.052 * [backup-simplify]: Simplify (* 1 1) into 1 2.052 * [backup-simplify]: Simplify (/ 1 1) into 1 2.052 * [backup-simplify]: Simplify (+ 0 1) into 1 2.053 * [backup-simplify]: Simplify (log 1) into 0 2.053 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in re 2.053 * [taylor]: Taking taylor expansion of (exp 1/2) in re 2.053 * [taylor]: Taking taylor expansion of 1/2 in re 2.053 * [backup-simplify]: Simplify 1/2 into 1/2 2.053 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.053 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.054 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.054 * [backup-simplify]: Simplify (* (- (* 2 (log re))) 1/2) into (* -1 (log re)) 2.054 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 2.054 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.054 * [taylor]: Taking taylor expansion of re in re 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify 1 into 1 2.054 * [backup-simplify]: Simplify (/ 1 1) into 1 2.054 * [backup-simplify]: Simplify (- 1) into -1 2.055 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.055 * [taylor]: Taking taylor expansion of -1 in im 2.055 * [backup-simplify]: Simplify -1 into -1 2.055 * [backup-simplify]: Simplify -1 into -1 2.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.055 * [backup-simplify]: Simplify (- 0) into 0 2.055 * [backup-simplify]: Simplify (+ (pow re -1) 0) into (pow re -1) 2.055 * [taylor]: Taking taylor expansion of (pow re -1) in im 2.055 * [taylor]: Taking taylor expansion of re in im 2.055 * [backup-simplify]: Simplify re into re 2.056 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.056 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.056 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 1) 1)))) into 0 2.057 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp 1/2) 1)))) 1) into 0 2.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.058 * [backup-simplify]: Simplify (+ 0 0) into 0 2.059 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.059 * [backup-simplify]: Simplify (+ (* (- (* 2 (log re))) 0) (* 0 1/2)) into 0 2.060 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.061 * [backup-simplify]: Simplify (- 0) into 0 2.061 * [backup-simplify]: Simplify (+ 0 0) into 0 2.061 * [taylor]: Taking taylor expansion of 0 in im 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.062 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.064 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp 1/2) 1)))) 2) into 0 2.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.065 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.066 * [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)) 2.067 * [backup-simplify]: Simplify (+ (* (- (* 2 (log re))) 0) (+ (* 0 0) (* (/ 1 (pow im 2)) 1/2))) into (* 1/2 (/ 1 (pow im 2))) 2.067 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 (* re (pow im 2))) 2.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.068 * [backup-simplify]: Simplify (- 0) into 0 2.068 * [backup-simplify]: Simplify (+ (/ 1/2 (* re (pow im 2))) 0) into (* 1/2 (/ 1 (* re (pow im 2)))) 2.068 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* re (pow im 2)))) in im 2.068 * [taylor]: Taking taylor expansion of 1/2 in im 2.068 * [backup-simplify]: Simplify 1/2 into 1/2 2.068 * [taylor]: Taking taylor expansion of (/ 1 (* re (pow im 2))) in im 2.068 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im 2.068 * [taylor]: Taking taylor expansion of re in im 2.068 * [backup-simplify]: Simplify re into re 2.068 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.068 * [taylor]: Taking taylor expansion of im in im 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify 1 into 1 2.069 * [backup-simplify]: Simplify (* 1 1) into 1 2.069 * [backup-simplify]: Simplify (* re 1) into re 2.069 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.070 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 1))) into 0 2.070 * [backup-simplify]: Simplify (+ (* re 0) (* 0 1)) into 0 2.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 re)))) into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify (+ (/ 1 (/ 1 (- re))) (* -1 (* 1 (/ 1 (/ 1 (- re)))))) into 0 2.071 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 2.072 * [backup-simplify]: Simplify (pow (exp 1/2) (log (+ (* re re) (* im im)))) into (pow (exp 1/2) (log (+ (pow re 2) (pow im 2)))) 2.072 * [approximate]: Taking taylor expansion of (pow (exp 1/2) (log (+ (pow re 2) (pow im 2)))) in (re im) around 0 2.072 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (pow re 2) (pow im 2)))) in im 2.072 * [taylor]: Taking taylor expansion of (exp (* (log (+ (pow re 2) (pow im 2))) (log (exp 1/2)))) in im 2.072 * [taylor]: Taking taylor expansion of (* (log (+ (pow re 2) (pow im 2))) (log (exp 1/2))) in im 2.072 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 2.072 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.072 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.072 * [taylor]: Taking taylor expansion of re in im 2.072 * [backup-simplify]: Simplify re into re 2.072 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.072 * [taylor]: Taking taylor expansion of im in im 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.072 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.072 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 2.072 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in im 2.072 * [taylor]: Taking taylor expansion of (exp 1/2) in im 2.072 * [taylor]: Taking taylor expansion of 1/2 in im 2.072 * [backup-simplify]: Simplify 1/2 into 1/2 2.072 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.073 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.073 * [backup-simplify]: Simplify (* (log (pow re 2)) 1/2) into (* 1/2 (log (pow re 2))) 2.073 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow re 2)))) into (pow (pow re 2) 1/2) 2.073 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (pow re 2) (pow im 2)))) in re 2.073 * [taylor]: Taking taylor expansion of (exp (* (log (+ (pow re 2) (pow im 2))) (log (exp 1/2)))) in re 2.073 * [taylor]: Taking taylor expansion of (* (log (+ (pow re 2) (pow im 2))) (log (exp 1/2))) in re 2.073 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 2.073 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.073 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.073 * [taylor]: Taking taylor expansion of re in re 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.073 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.073 * [taylor]: Taking taylor expansion of im in re 2.073 * [backup-simplify]: Simplify im into im 2.073 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.074 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.074 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 2.074 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in re 2.074 * [taylor]: Taking taylor expansion of (exp 1/2) in re 2.074 * [taylor]: Taking taylor expansion of 1/2 in re 2.074 * [backup-simplify]: Simplify 1/2 into 1/2 2.074 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.074 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.075 * [backup-simplify]: Simplify (* (log (pow im 2)) 1/2) into (* 1/2 (log (pow im 2))) 2.075 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow im 2)))) into (pow (pow im 2) 1/2) 2.075 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (pow re 2) (pow im 2)))) in re 2.075 * [taylor]: Taking taylor expansion of (exp (* (log (+ (pow re 2) (pow im 2))) (log (exp 1/2)))) in re 2.075 * [taylor]: Taking taylor expansion of (* (log (+ (pow re 2) (pow im 2))) (log (exp 1/2))) in re 2.075 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 2.075 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.075 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.075 * [taylor]: Taking taylor expansion of re in re 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify 1 into 1 2.075 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.075 * [taylor]: Taking taylor expansion of im in re 2.075 * [backup-simplify]: Simplify im into im 2.075 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.075 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.075 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 2.075 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in re 2.075 * [taylor]: Taking taylor expansion of (exp 1/2) in re 2.075 * [taylor]: Taking taylor expansion of 1/2 in re 2.075 * [backup-simplify]: Simplify 1/2 into 1/2 2.075 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.076 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.076 * [backup-simplify]: Simplify (* (log (pow im 2)) 1/2) into (* 1/2 (log (pow im 2))) 2.076 * [backup-simplify]: Simplify (exp (* 1/2 (log (pow im 2)))) into (pow (pow im 2) 1/2) 2.076 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/2) in im 2.076 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (pow im 2)))) in im 2.076 * [taylor]: Taking taylor expansion of (* 1/2 (log (pow im 2))) in im 2.076 * [taylor]: Taking taylor expansion of 1/2 in im 2.076 * [backup-simplify]: Simplify 1/2 into 1/2 2.076 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 2.076 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.076 * [taylor]: Taking taylor expansion of im in im 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.076 * [backup-simplify]: Simplify (* 1 1) into 1 2.082 * [backup-simplify]: Simplify (log 1) into 0 2.083 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.083 * [backup-simplify]: Simplify (* 1/2 (* 2 (log im))) into (log im) 2.083 * [backup-simplify]: Simplify (exp (log im)) into im 2.083 * [backup-simplify]: Simplify im into im 2.084 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 1) 1)))) into 0 2.084 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp 1/2) 1)))) 1) into 0 2.085 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.085 * [backup-simplify]: Simplify (+ 0 0) into 0 2.085 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 2.086 * [backup-simplify]: Simplify (+ (* (log (pow im 2)) 0) (* 0 1/2)) into 0 2.086 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.086 * [taylor]: Taking taylor expansion of 0 in im 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.088 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* 2 (log im)))) into 0 2.088 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 1) 1)))) into 0 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.091 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp 1/2) 1)))) 2) into 0 2.091 * [backup-simplify]: Simplify (* 1 1) into 1 2.092 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.092 * [backup-simplify]: Simplify (+ 1 0) into 1 2.093 * [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)) 2.093 * [backup-simplify]: Simplify (+ (* (log (pow im 2)) 0) (+ (* 0 0) (* (/ 1 (pow im 2)) 1/2))) into (* 1/2 (/ 1 (pow im 2))) 2.094 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 im) 2.094 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.094 * [taylor]: Taking taylor expansion of 1/2 in im 2.094 * [backup-simplify]: Simplify 1/2 into 1/2 2.094 * [taylor]: Taking taylor expansion of im in im 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 1 into 1 2.094 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.097 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.097 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 2.098 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.098 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.102 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp 1/2) 1)))) 6) into 0 2.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.103 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.103 * [backup-simplify]: Simplify (+ 0 0) into 0 2.105 * [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 2.106 * [backup-simplify]: Simplify (+ (* (log (pow im 2)) 0) (+ (* 0 0) (+ (* (/ 1 (pow im 2)) 0) (* 0 1/2)))) into 0 2.107 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.107 * [taylor]: Taking taylor expansion of 0 in im 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify im into im 2.107 * [backup-simplify]: Simplify (pow (exp 1/2) (log (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) into (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2.107 * [approximate]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 2.107 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.107 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2)))) in im 2.108 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2))) in im 2.108 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.108 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.108 * [taylor]: Taking taylor expansion of im in im 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [backup-simplify]: Simplify (* 1 1) into 1 2.108 * [backup-simplify]: Simplify (/ 1 1) into 1 2.108 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.108 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.108 * [taylor]: Taking taylor expansion of re in im 2.108 * [backup-simplify]: Simplify re into re 2.108 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.108 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.109 * [backup-simplify]: Simplify (+ 1 0) into 1 2.109 * [backup-simplify]: Simplify (log 1) into 0 2.109 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in im 2.109 * [taylor]: Taking taylor expansion of (exp 1/2) in im 2.109 * [taylor]: Taking taylor expansion of 1/2 in im 2.109 * [backup-simplify]: Simplify 1/2 into 1/2 2.109 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.110 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.110 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 2.110 * [backup-simplify]: Simplify (* (- (* 2 (log im))) 1/2) into (* -1 (log im)) 2.110 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1) 2.110 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.110 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2)))) in re 2.110 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2))) in re 2.110 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.110 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.110 * [taylor]: Taking taylor expansion of im in re 2.110 * [backup-simplify]: Simplify im into im 2.110 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.110 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.110 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.110 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.110 * [taylor]: Taking taylor expansion of re in re 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (* 1 1) into 1 2.111 * [backup-simplify]: Simplify (/ 1 1) into 1 2.111 * [backup-simplify]: Simplify (+ 0 1) into 1 2.111 * [backup-simplify]: Simplify (log 1) into 0 2.111 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in re 2.111 * [taylor]: Taking taylor expansion of (exp 1/2) in re 2.111 * [taylor]: Taking taylor expansion of 1/2 in re 2.111 * [backup-simplify]: Simplify 1/2 into 1/2 2.112 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.112 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.112 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.112 * [backup-simplify]: Simplify (* (- (* 2 (log re))) 1/2) into (* -1 (log re)) 2.112 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 2.113 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.113 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2)))) in re 2.113 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2))) in re 2.113 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.113 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.113 * [taylor]: Taking taylor expansion of im in re 2.113 * [backup-simplify]: Simplify im into im 2.113 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.113 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.113 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.113 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.113 * [taylor]: Taking taylor expansion of re in re 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 1 into 1 2.113 * [backup-simplify]: Simplify (* 1 1) into 1 2.113 * [backup-simplify]: Simplify (/ 1 1) into 1 2.114 * [backup-simplify]: Simplify (+ 0 1) into 1 2.114 * [backup-simplify]: Simplify (log 1) into 0 2.114 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in re 2.114 * [taylor]: Taking taylor expansion of (exp 1/2) in re 2.114 * [taylor]: Taking taylor expansion of 1/2 in re 2.114 * [backup-simplify]: Simplify 1/2 into 1/2 2.114 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.115 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.115 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.115 * [backup-simplify]: Simplify (* (- (* 2 (log re))) 1/2) into (* -1 (log re)) 2.115 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 2.115 * [taylor]: Taking taylor expansion of (pow re -1) in im 2.115 * [taylor]: Taking taylor expansion of re in im 2.115 * [backup-simplify]: Simplify re into re 2.115 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.115 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.115 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.116 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 1) 1)))) into 0 2.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp 1/2) 1)))) 1) into 0 2.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.118 * [backup-simplify]: Simplify (+ 0 0) into 0 2.119 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.119 * [backup-simplify]: Simplify (+ (* (- (* 2 (log re))) 0) (* 0 1/2)) into 0 2.120 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.120 * [taylor]: Taking taylor expansion of 0 in im 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.121 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.123 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp 1/2) 1)))) 2) into 0 2.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.124 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.125 * [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)) 2.125 * [backup-simplify]: Simplify (+ (* (- (* 2 (log re))) 0) (+ (* 0 0) (* (/ 1 (pow im 2)) 1/2))) into (* 1/2 (/ 1 (pow im 2))) 2.126 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 (* re (pow im 2))) 2.126 * [taylor]: Taking taylor expansion of (/ 1/2 (* re (pow im 2))) in im 2.126 * [taylor]: Taking taylor expansion of 1/2 in im 2.126 * [backup-simplify]: Simplify 1/2 into 1/2 2.126 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im 2.126 * [taylor]: Taking taylor expansion of re in im 2.126 * [backup-simplify]: Simplify re into re 2.126 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.126 * [taylor]: Taking taylor expansion of im in im 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 1 into 1 2.126 * [backup-simplify]: Simplify (* 1 1) into 1 2.126 * [backup-simplify]: Simplify (* re 1) into re 2.126 * [backup-simplify]: Simplify (/ 1/2 re) into (/ 1/2 re) 2.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.128 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 1))) into 0 2.128 * [backup-simplify]: Simplify (+ (* re 0) (* 0 1)) into 0 2.128 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ 1/2 re) (/ 0 re)))) into 0 2.128 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ 1/2 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.130 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.132 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp 1/2) 1)))) 6) into 0 2.133 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.134 * [backup-simplify]: Simplify (+ 0 0) into 0 2.136 * [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 2.137 * [backup-simplify]: Simplify (+ (* (- (* 2 (log re))) 0) (+ (* 0 0) (+ (* (/ 1 (pow im 2)) 0) (* 0 1/2)))) into 0 2.138 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.138 * [taylor]: Taking taylor expansion of 0 in im 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify (/ 1 (/ 1 re)) into re 2.139 * [backup-simplify]: Simplify (pow (exp 1/2) (log (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) into (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2.139 * [approximate]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 2.139 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.139 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2)))) in im 2.139 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2))) in im 2.139 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.139 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.139 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.139 * [taylor]: Taking taylor expansion of im in im 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 1 into 1 2.139 * [backup-simplify]: Simplify (* 1 1) into 1 2.139 * [backup-simplify]: Simplify (/ 1 1) into 1 2.139 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.139 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.139 * [taylor]: Taking taylor expansion of re in im 2.139 * [backup-simplify]: Simplify re into re 2.140 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.140 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.140 * [backup-simplify]: Simplify (+ 1 0) into 1 2.140 * [backup-simplify]: Simplify (log 1) into 0 2.140 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in im 2.140 * [taylor]: Taking taylor expansion of (exp 1/2) in im 2.140 * [taylor]: Taking taylor expansion of 1/2 in im 2.140 * [backup-simplify]: Simplify 1/2 into 1/2 2.140 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.141 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.141 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 2.141 * [backup-simplify]: Simplify (* (- (* 2 (log im))) 1/2) into (* -1 (log im)) 2.141 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1) 2.141 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.141 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2)))) in re 2.141 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2))) in re 2.141 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.141 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.141 * [taylor]: Taking taylor expansion of im in re 2.142 * [backup-simplify]: Simplify im into im 2.142 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.142 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.142 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.142 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.142 * [taylor]: Taking taylor expansion of re in re 2.142 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify 1 into 1 2.142 * [backup-simplify]: Simplify (* 1 1) into 1 2.142 * [backup-simplify]: Simplify (/ 1 1) into 1 2.142 * [backup-simplify]: Simplify (+ 0 1) into 1 2.143 * [backup-simplify]: Simplify (log 1) into 0 2.143 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in re 2.143 * [taylor]: Taking taylor expansion of (exp 1/2) in re 2.143 * [taylor]: Taking taylor expansion of 1/2 in re 2.143 * [backup-simplify]: Simplify 1/2 into 1/2 2.143 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.144 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.144 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.144 * [backup-simplify]: Simplify (* (- (* 2 (log re))) 1/2) into (* -1 (log re)) 2.144 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 2.144 * [taylor]: Taking taylor expansion of (pow (exp 1/2) (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.144 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2)))) in re 2.144 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (log (exp 1/2))) in re 2.144 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.144 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.144 * [taylor]: Taking taylor expansion of im in re 2.144 * [backup-simplify]: Simplify im into im 2.144 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.144 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.144 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.144 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.144 * [taylor]: Taking taylor expansion of re in re 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 1 into 1 2.145 * [backup-simplify]: Simplify (* 1 1) into 1 2.145 * [backup-simplify]: Simplify (/ 1 1) into 1 2.145 * [backup-simplify]: Simplify (+ 0 1) into 1 2.145 * [backup-simplify]: Simplify (log 1) into 0 2.145 * [taylor]: Taking taylor expansion of (log (exp 1/2)) in re 2.145 * [taylor]: Taking taylor expansion of (exp 1/2) in re 2.145 * [taylor]: Taking taylor expansion of 1/2 in re 2.145 * [backup-simplify]: Simplify 1/2 into 1/2 2.146 * [backup-simplify]: Simplify (exp 1/2) into (exp 1/2) 2.146 * [backup-simplify]: Simplify (log (exp 1/2)) into 1/2 2.146 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.147 * [backup-simplify]: Simplify (* (- (* 2 (log re))) 1/2) into (* -1 (log re)) 2.147 * [backup-simplify]: Simplify (exp (* -1 (log re))) into (pow re -1) 2.147 * [taylor]: Taking taylor expansion of (pow re -1) in im 2.147 * [taylor]: Taking taylor expansion of re in im 2.147 * [backup-simplify]: Simplify re into re 2.147 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.147 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.147 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.148 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 1) 1)))) into 0 2.149 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp 1/2) 1)))) 1) into 0 2.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.150 * [backup-simplify]: Simplify (+ 0 0) into 0 2.150 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.151 * [backup-simplify]: Simplify (+ (* (- (* 2 (log re))) 0) (* 0 1/2)) into 0 2.151 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.151 * [taylor]: Taking taylor expansion of 0 in im 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.152 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.154 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp 1/2) 1)))) 2) into 0 2.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.155 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.156 * [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)) 2.157 * [backup-simplify]: Simplify (+ (* (- (* 2 (log re))) 0) (+ (* 0 0) (* (/ 1 (pow im 2)) 1/2))) into (* 1/2 (/ 1 (pow im 2))) 2.157 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)))) into (/ 1/2 (* re (pow im 2))) 2.157 * [taylor]: Taking taylor expansion of (/ 1/2 (* re (pow im 2))) in im 2.157 * [taylor]: Taking taylor expansion of 1/2 in im 2.157 * [backup-simplify]: Simplify 1/2 into 1/2 2.157 * [taylor]: Taking taylor expansion of (* re (pow im 2)) in im 2.157 * [taylor]: Taking taylor expansion of re in im 2.157 * [backup-simplify]: Simplify re into re 2.157 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.157 * [taylor]: Taking taylor expansion of im in im 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify 1 into 1 2.158 * [backup-simplify]: Simplify (* 1 1) into 1 2.158 * [backup-simplify]: Simplify (* re 1) into re 2.158 * [backup-simplify]: Simplify (/ 1/2 re) into (/ 1/2 re) 2.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.159 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 1))) into 0 2.159 * [backup-simplify]: Simplify (+ (* re 0) (* 0 1)) into 0 2.159 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ 1/2 re) (/ 0 re)))) into 0 2.159 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ 1/2 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.159 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.159 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.161 * [backup-simplify]: Simplify (* (exp 1/2) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.164 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp 1/2) 1)))) 6) into 0 2.164 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.165 * [backup-simplify]: Simplify (+ 0 0) into 0 2.167 * [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 2.168 * [backup-simplify]: Simplify (+ (* (- (* 2 (log re))) 0) (+ (* 0 0) (+ (* (/ 1 (pow im 2)) 0) (* 0 1/2)))) into 0 2.169 * [backup-simplify]: Simplify (* (exp (* -1 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.169 * [taylor]: Taking taylor expansion of 0 in im 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify (/ 1 (/ 1 (- re))) into (* -1 re) 2.169 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1) 2.169 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 2.169 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 2.169 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.170 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.170 * [taylor]: Taking taylor expansion of re in im 2.170 * [backup-simplify]: Simplify re into re 2.170 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.170 * [taylor]: Taking taylor expansion of im in im 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify 1 into 1 2.170 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.170 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.170 * [taylor]: Taking taylor expansion of re in re 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify 1 into 1 2.175 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.175 * [taylor]: Taking taylor expansion of im in re 2.175 * [backup-simplify]: Simplify im into im 2.175 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.175 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.175 * [taylor]: Taking taylor expansion of re in re 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 1 into 1 2.175 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.175 * [taylor]: Taking taylor expansion of im in re 2.176 * [backup-simplify]: Simplify im into im 2.176 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.176 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.176 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.176 * [taylor]: Taking taylor expansion of im in im 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify 1 into 1 2.176 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.176 * [backup-simplify]: Simplify (+ 0 0) into 0 2.176 * [taylor]: Taking taylor expansion of 0 in im 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify (* 1 1) into 1 2.177 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.177 * [backup-simplify]: Simplify (+ 1 0) into 1 2.177 * [taylor]: Taking taylor expansion of 1 in im 2.177 * [backup-simplify]: Simplify 1 into 1 2.177 * [backup-simplify]: Simplify 1 into 1 2.177 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify (* 1 1) into 1 2.178 * [backup-simplify]: Simplify 1 into 1 2.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.179 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.179 * [backup-simplify]: Simplify (+ 0 0) into 0 2.179 * [taylor]: Taking taylor expansion of 0 in im 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.179 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.180 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 2.181 * [backup-simplify]: Simplify (+ 0 0) into 0 2.181 * [taylor]: Taking taylor expansion of 0 in im 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 2.181 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 2.181 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 2.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.181 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.181 * [taylor]: Taking taylor expansion of im in im 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify 1 into 1 2.181 * [backup-simplify]: Simplify (* 1 1) into 1 2.182 * [backup-simplify]: Simplify (/ 1 1) into 1 2.182 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.182 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.182 * [taylor]: Taking taylor expansion of re in im 2.182 * [backup-simplify]: Simplify re into re 2.182 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.182 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.182 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.182 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.182 * [taylor]: Taking taylor expansion of im in re 2.182 * [backup-simplify]: Simplify im into im 2.182 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.182 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.182 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.182 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.182 * [taylor]: Taking taylor expansion of re in re 2.182 * [backup-simplify]: Simplify 0 into 0 2.182 * [backup-simplify]: Simplify 1 into 1 2.182 * [backup-simplify]: Simplify (* 1 1) into 1 2.183 * [backup-simplify]: Simplify (/ 1 1) into 1 2.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.183 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.183 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.183 * [taylor]: Taking taylor expansion of im in re 2.183 * [backup-simplify]: Simplify im into im 2.183 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.183 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.183 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.183 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.183 * [taylor]: Taking taylor expansion of re in re 2.183 * [backup-simplify]: Simplify 0 into 0 2.183 * [backup-simplify]: Simplify 1 into 1 2.183 * [backup-simplify]: Simplify (* 1 1) into 1 2.183 * [backup-simplify]: Simplify (/ 1 1) into 1 2.184 * [backup-simplify]: Simplify (+ 0 1) into 1 2.184 * [taylor]: Taking taylor expansion of 1 in im 2.184 * [backup-simplify]: Simplify 1 into 1 2.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.185 * [backup-simplify]: Simplify (+ 0 0) into 0 2.185 * [taylor]: Taking taylor expansion of 0 in im 2.185 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.186 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.186 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.186 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.186 * [taylor]: Taking taylor expansion of im in im 2.186 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify 1 into 1 2.186 * [backup-simplify]: Simplify (* 1 1) into 1 2.187 * [backup-simplify]: Simplify (/ 1 1) into 1 2.187 * [backup-simplify]: Simplify 1 into 1 2.187 * [backup-simplify]: Simplify 1 into 1 2.187 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.188 * [backup-simplify]: Simplify (+ 0 0) into 0 2.188 * [taylor]: Taking taylor expansion of 0 in im 2.188 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 2.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.191 * [backup-simplify]: Simplify (+ 0 0) into 0 2.191 * [taylor]: Taking taylor expansion of 0 in im 2.191 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 2.193 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 2.193 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 2.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.193 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.193 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.193 * [taylor]: Taking taylor expansion of im in im 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify 1 into 1 2.193 * [backup-simplify]: Simplify (* 1 1) into 1 2.193 * [backup-simplify]: Simplify (/ 1 1) into 1 2.193 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.193 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.193 * [taylor]: Taking taylor expansion of re in im 2.193 * [backup-simplify]: Simplify re into re 2.193 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.193 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.194 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.194 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.194 * [taylor]: Taking taylor expansion of im in re 2.194 * [backup-simplify]: Simplify im into im 2.194 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.194 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.194 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.194 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.194 * [taylor]: Taking taylor expansion of re in re 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 1 into 1 2.194 * [backup-simplify]: Simplify (* 1 1) into 1 2.194 * [backup-simplify]: Simplify (/ 1 1) into 1 2.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.194 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.194 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.194 * [taylor]: Taking taylor expansion of im in re 2.194 * [backup-simplify]: Simplify im into im 2.194 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.195 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.195 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.195 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.195 * [taylor]: Taking taylor expansion of re in re 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify 1 into 1 2.195 * [backup-simplify]: Simplify (* 1 1) into 1 2.195 * [backup-simplify]: Simplify (/ 1 1) into 1 2.195 * [backup-simplify]: Simplify (+ 0 1) into 1 2.195 * [taylor]: Taking taylor expansion of 1 in im 2.195 * [backup-simplify]: Simplify 1 into 1 2.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.196 * [backup-simplify]: Simplify (+ 0 0) into 0 2.196 * [taylor]: Taking taylor expansion of 0 in im 2.196 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.198 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.198 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.198 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.198 * [taylor]: Taking taylor expansion of im in im 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 1 into 1 2.198 * [backup-simplify]: Simplify (* 1 1) into 1 2.198 * [backup-simplify]: Simplify (/ 1 1) into 1 2.198 * [backup-simplify]: Simplify 1 into 1 2.198 * [backup-simplify]: Simplify 1 into 1 2.198 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.200 * [backup-simplify]: Simplify (+ 0 0) into 0 2.200 * [taylor]: Taking taylor expansion of 0 in im 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.200 * [backup-simplify]: Simplify 0 into 0 2.201 * [backup-simplify]: Simplify 0 into 0 2.201 * [backup-simplify]: Simplify 0 into 0 2.201 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 2.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.202 * [backup-simplify]: Simplify (+ 0 0) into 0 2.202 * [taylor]: Taking taylor expansion of 0 in im 2.202 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 2.204 * * * [progress]: simplifying candidates 2.205 * [simplify]: Simplifying: (log (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (log (cbrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (log 1) (log (+ (* re re) (* im im))) (log (+ (pow (* re re) 3) (pow (* im im) 3))) (log (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (log (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (log (- (* re re) (* im im))) (log (+ (* re re) (* im im))) (log (log (+ (* re re) (* im im)))) (exp (log (+ (* re re) (* im im)))) (* (cbrt (log (+ (* re re) (* im im)))) (cbrt (log (+ (* re re) (* im im))))) (cbrt (log (+ (* re re) (* im im)))) (* (* (log (+ (* re re) (* im im))) (log (+ (* re re) (* im im)))) (log (+ (* re re) (* im im)))) (sqrt (log (+ (* re re) (* im im)))) (sqrt (log (+ (* re re) (* im im)))) (* (exp (pow (exp 1/2) (log (+ (* re re) (* im im))))) (exp re)) (log (+ (pow (exp 1/2) (log (+ (* re re) (* im im)))) re)) (exp (+ (pow (exp 1/2) (log (+ (* re re) (* im im)))) re)) (* (cbrt (+ (pow (exp 1/2) (log (+ (* re re) (* im im)))) re)) (cbrt (+ (pow (exp 1/2) (log (+ (* re re) (* im im)))) re))) (cbrt (+ (pow (exp 1/2) (log (+ (* re re) (* im im)))) re)) (* (* (+ (pow (exp 1/2) (log (+ (* re re) (* im im)))) re) (+ (pow (exp 1/2) (log (+ (* re re) (* im im)))) re)) (+ (pow (exp 1/2) (log (+ (* re re) (* im im)))) re)) (sqrt (+ (pow (exp 1/2) (log (+ (* re re) (* im im)))) re)) (sqrt (+ (pow (exp 1/2) (log (+ (* re re) (* im im)))) re)) (+ (pow (pow (exp 1/2) (log (+ (* re re) (* im im)))) 3) (pow re 3)) (+ (* (pow (exp 1/2) (log (+ (* re re) (* im im)))) (pow (exp 1/2) (log (+ (* re re) (* im im))))) (- (* re re) (* (pow (exp 1/2) (log (+ (* re re) (* im im)))) re))) (- (* (pow (exp 1/2) (log (+ (* re re) (* im im)))) (pow (exp 1/2) (log (+ (* re re) (* im im))))) (* re re)) (- (pow (exp 1/2) (log (+ (* re re) (* im im)))) re) (+ (pow (exp 1/2) (log (+ (* re re) (* im im)))) re) (* 1/2 (log (+ (* re re) (* im im)))) (* (log (exp 1/2)) (log (+ (* re re) (* im im)))) (* 1 (log (+ (* re re) (* im im)))) (* (cbrt 1/2) (log (+ (* re re) (* im im)))) (* (sqrt 1/2) (log (+ (* re re) (* im im)))) (* 1/2 (log (+ (* re re) (* im im)))) (pow (exp 1/2) (log (+ (pow (* re re) 3) (pow (* im im) 3)))) (pow (exp 1/2) (log (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (pow (exp 1/2) (log (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (pow (exp 1/2) (log (- (* re re) (* im im)))) (pow (exp 1/2) 1) (pow (exp 1/2) (* (cbrt (log (+ (* re re) (* im im)))) (cbrt (log (+ (* re re) (* im im)))))) (pow (exp 1/2) (sqrt (log (+ (* re re) (* im im))))) (pow (exp 1/2) 1) (pow (exp 1/2) (log (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (pow (exp 1/2) (log (cbrt (+ (* re re) (* im im))))) (pow (exp 1/2) (log (sqrt (+ (* re re) (* im im))))) (pow (exp 1/2) (log (sqrt (+ (* re re) (* im im))))) (pow (exp 1/2) (log 1)) (pow (exp 1/2) (log (+ (* re re) (* im im)))) (pow (* (cbrt (exp 1/2)) (cbrt (exp 1/2))) (log (+ (* re re) (* im im)))) (pow (cbrt (exp 1/2)) (log (+ (* re re) (* im im)))) (pow (sqrt (exp 1/2)) (log (+ (* re re) (* im im)))) (pow (sqrt (exp 1/2)) (log (+ (* re re) (* im im)))) (pow 1 (log (+ (* re re) (* im im)))) (pow (exp 1/2) (log (+ (* re re) (* im im)))) (log (pow (exp 1/2) (log (+ (* re re) (* im im))))) (exp (pow (exp 1/2) (log (+ (* re re) (* im im))))) (* (cbrt (pow (exp 1/2) (log (+ (* re re) (* im im))))) (cbrt (pow (exp 1/2) (log (+ (* re re) (* im im)))))) (cbrt (pow (exp 1/2) (log (+ (* re re) (* im im))))) (* (* (pow (exp 1/2) (log (+ (* re re) (* im im)))) (pow (exp 1/2) (log (+ (* re re) (* im im))))) (pow (exp 1/2) (log (+ (* re re) (* im im))))) (sqrt (pow (exp 1/2) (log (+ (* re re) (* im im))))) (sqrt (pow (exp 1/2) (log (+ (* re re) (* im im))))) (pow (exp 1/2) (/ (log (+ (* re re) (* im im))) 2)) (pow (exp 1/2) (/ (log (+ (* re re) (* im im))) 2)) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) (* 2 (log im)) (- (* 2 (log (/ 1 re)))) (- (* 2 (log (/ -1 re)))) (+ re im) (* 2 re) 0 im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 2.205 * [simplify]: Sending expressions to egg_math: (log (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (log (cbrt (+ (* h0 h0) (* h1 h1)))) (log (sqrt (+ (* h0 h0) (* h1 h1)))) (log (sqrt (+ (* h0 h0) (* h1 h1)))) (log 1) (log (+ (* h0 h0) (* h1 h1))) (log (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (log (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (log (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (log (- (* h0 h0) (* h1 h1))) (log (+ (* h0 h0) (* h1 h1))) (log (log (+ (* h0 h0) (* h1 h1)))) (exp (log (+ (* h0 h0) (* h1 h1)))) (* (cbrt (log (+ (* h0 h0) (* h1 h1)))) (cbrt (log (+ (* h0 h0) (* h1 h1))))) (cbrt (log (+ (* h0 h0) (* h1 h1)))) (* (* (log (+ (* h0 h0) (* h1 h1))) (log (+ (* h0 h0) (* h1 h1)))) (log (+ (* h0 h0) (* h1 h1)))) (sqrt (log (+ (* h0 h0) (* h1 h1)))) (sqrt (log (+ (* h0 h0) (* h1 h1)))) (* (exp (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1))))) (exp h0)) (log (+ (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) h0)) (exp (+ (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) h0)) (* (cbrt (+ (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) h0)) (cbrt (+ (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) h0))) (cbrt (+ (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) h0)) (* (* (+ (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) h0) (+ (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) h0)) (+ (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) h0)) (sqrt (+ (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) h0)) (sqrt (+ (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) h0)) (+ (pow (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) 3) (pow h0 3)) (+ (* (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1))))) (- (* h0 h0) (* (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) h0))) (- (* (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1))))) (* h0 h0)) (- (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) h0) (+ (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) h0) (* 1/2 (log (+ (* h0 h0) (* h1 h1)))) (* (log (exp 1/2)) (log (+ (* h0 h0) (* h1 h1)))) (* 1 (log (+ (* h0 h0) (* h1 h1)))) (* (cbrt 1/2) (log (+ (* h0 h0) (* h1 h1)))) (* (sqrt 1/2) (log (+ (* h0 h0) (* h1 h1)))) (* 1/2 (log (+ (* h0 h0) (* h1 h1)))) (pow (exp 1/2) (log (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)))) (pow (exp 1/2) (log (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))))) (pow (exp 1/2) (log (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))) (pow (exp 1/2) (log (- (* h0 h0) (* h1 h1)))) (pow (exp 1/2) 1) (pow (exp 1/2) (* (cbrt (log (+ (* h0 h0) (* h1 h1)))) (cbrt (log (+ (* h0 h0) (* h1 h1)))))) (pow (exp 1/2) (sqrt (log (+ (* h0 h0) (* h1 h1))))) (pow (exp 1/2) 1) (pow (exp 1/2) (log (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))) (pow (exp 1/2) (log (cbrt (+ (* h0 h0) (* h1 h1))))) (pow (exp 1/2) (log (sqrt (+ (* h0 h0) (* h1 h1))))) (pow (exp 1/2) (log (sqrt (+ (* h0 h0) (* h1 h1))))) (pow (exp 1/2) (log 1)) (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) (pow (* (cbrt (exp 1/2)) (cbrt (exp 1/2))) (log (+ (* h0 h0) (* h1 h1)))) (pow (cbrt (exp 1/2)) (log (+ (* h0 h0) (* h1 h1)))) (pow (sqrt (exp 1/2)) (log (+ (* h0 h0) (* h1 h1)))) (pow (sqrt (exp 1/2)) (log (+ (* h0 h0) (* h1 h1)))) (pow 1 (log (+ (* h0 h0) (* h1 h1)))) (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) (log (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1))))) (exp (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1))))) (* (cbrt (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1))))) (cbrt (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))))) (cbrt (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1))))) (* (* (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1)))) (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1))))) (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1))))) (sqrt (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1))))) (sqrt (pow (exp 1/2) (log (+ (* h0 h0) (* h1 h1))))) (pow (exp 1/2) (/ (log (+ (* h0 h0) (* h1 h1))) 2)) (pow (exp 1/2) (/ (log (+ (* h0 h0) (* h1 h1))) 2)) (* (exp (* h0 h0)) (exp (* h1 h1))) (log (+ (* h0 h0) (* h1 h1))) (exp (+ (* h0 h0) (* h1 h1))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (* h0 h0) (* h1 h1)) (* 2 (log h1)) (- (* 2 (log (/ 1 h0)))) (- (* 2 (log (/ -1 h0)))) (+ h0 h1) (* 2 h0) 0 h1 h0 (* -1 h0) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) 2.210 * * [simplify]: iteration 0 : 294 enodes (cost 578 ) 2.215 * * [simplify]: iteration 1 : 1016 enodes (cost 535 ) 2.232 * * [simplify]: iteration 2 : 3325 enodes (cost 530 ) 2.297 * * [simplify]: iteration 3 : 5001 enodes (cost 530 ) 2.299 * * * [progress]: adding candidates to table 2.510 * [progress]: [Phase 3 of 3] Extracting. 2.510 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 2.512 * * * [regime-changes]: Trying 7 branch expressions: ((* im im) (+ (sqrt (+ (* re re) (* im im))) re) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re) 2.512 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # # # #) 2.562 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #) 2.603 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # # # # # #) 2.664 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # # # # # # #) 2.724 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # # # # # # #) 2.786 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (# # # # # # # # # # # #) 2.850 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # # # #) 2.928 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # # # #) 2.992 * * * [regime]: Found split indices: #