4.199 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying: (sqrt (+ (* re re) (* im im))) 0.031 * * [simplify]: Extracting # 0 : cost 0 0.031 * * [simplify]: Extracting # 1 : cost 0 0.031 * * [simplify]: Extracting # 2 : cost 0 0.031 * * [simplify]: Extracting # 3 : cost 0 0.031 * * [simplify]: Extracting # 4 : cost 0 0.031 * * [simplify]: Extracting # 5 : cost 0 0.031 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.033 * * [simplify]: Extracting # 0 : cost 0 0.033 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 0.036 * * [simplify]: Extracting # 0 : cost 0 0.036 * * [simplify]: iteration done: 7 enodes (cost 8 ) 0.036 * [simplify]: Simplified to: (sqrt (+ (* re re) (* im im))) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.048 * * * * [pick]: Picked # 0.048 * * * [progress]: localizing error 0.057 * * * [progress]: generating rewritten candidates 0.057 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.067 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.077 * * * [progress]: generating series expansions 0.077 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.077 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.077 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.077 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.077 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.077 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.077 * [taylor]: Taking taylor expansion of re in im 0.077 * [backup-simplify]: Simplify re into re 0.077 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.077 * [taylor]: Taking taylor expansion of im in im 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.078 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.078 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.078 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.079 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.079 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.079 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.079 * [taylor]: Taking taylor expansion of re in re 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.079 * [taylor]: Taking taylor expansion of im in re 0.079 * [backup-simplify]: Simplify im into im 0.079 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.079 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.079 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.079 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.080 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.080 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.080 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.080 * [taylor]: Taking taylor expansion of re in re 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.080 * [taylor]: Taking taylor expansion of im in re 0.080 * [backup-simplify]: Simplify im into im 0.080 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.080 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.080 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.080 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.080 * [taylor]: Taking taylor expansion of im in im 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [taylor]: Taking taylor expansion of 0 in im 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (* 1 1) into 1 0.081 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.082 * [backup-simplify]: Simplify (+ 1 0) into 1 0.082 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.082 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.082 * [taylor]: Taking taylor expansion of 1/2 in im 0.082 * [backup-simplify]: Simplify 1/2 into 1/2 0.082 * [taylor]: Taking taylor expansion of im in im 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.084 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.084 * [taylor]: Taking taylor expansion of 0 in im 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.085 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.085 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.085 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.085 * [taylor]: Taking taylor expansion of im in im 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (* 1 1) into 1 0.086 * [backup-simplify]: Simplify (/ 1 1) into 1 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.086 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.086 * [taylor]: Taking taylor expansion of re in im 0.086 * [backup-simplify]: Simplify re into re 0.086 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.086 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.086 * [backup-simplify]: Simplify (+ 1 0) into 1 0.087 * [backup-simplify]: Simplify (sqrt 1) into 1 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.088 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.088 * [taylor]: Taking taylor expansion of im in re 0.088 * [backup-simplify]: Simplify im into im 0.088 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.089 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.089 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.089 * [taylor]: Taking taylor expansion of re in re 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (* 1 1) into 1 0.089 * [backup-simplify]: Simplify (/ 1 1) into 1 0.090 * [backup-simplify]: Simplify (+ 0 1) into 1 0.090 * [backup-simplify]: Simplify (sqrt 1) into 1 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.093 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.093 * [taylor]: Taking taylor expansion of im in re 0.093 * [backup-simplify]: Simplify im into im 0.093 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.093 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.093 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.093 * [taylor]: Taking taylor expansion of re in re 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (* 1 1) into 1 0.094 * [backup-simplify]: Simplify (/ 1 1) into 1 0.095 * [backup-simplify]: Simplify (+ 0 1) into 1 0.095 * [backup-simplify]: Simplify (sqrt 1) into 1 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.098 * [taylor]: Taking taylor expansion of 1 in im 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [taylor]: Taking taylor expansion of 0 in im 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.101 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.101 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.101 * [taylor]: Taking taylor expansion of 1/2 in im 0.101 * [backup-simplify]: Simplify 1/2 into 1/2 0.101 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.102 * [taylor]: Taking taylor expansion of im in im 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (* 1 1) into 1 0.102 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.108 * [taylor]: Taking taylor expansion of 0 in im 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.110 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.110 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.111 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.111 * [taylor]: Taking taylor expansion of im in im 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (* 1 1) into 1 0.111 * [backup-simplify]: Simplify (/ 1 1) into 1 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.111 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.111 * [taylor]: Taking taylor expansion of re in im 0.112 * [backup-simplify]: Simplify re into re 0.112 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.112 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.112 * [backup-simplify]: Simplify (+ 1 0) into 1 0.113 * [backup-simplify]: Simplify (sqrt 1) into 1 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.116 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.116 * [taylor]: Taking taylor expansion of im in re 0.116 * [backup-simplify]: Simplify im into im 0.116 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.116 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.116 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.116 * [taylor]: Taking taylor expansion of re in re 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (* 1 1) into 1 0.117 * [backup-simplify]: Simplify (/ 1 1) into 1 0.117 * [backup-simplify]: Simplify (+ 0 1) into 1 0.118 * [backup-simplify]: Simplify (sqrt 1) into 1 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.120 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.120 * [taylor]: Taking taylor expansion of im in re 0.121 * [backup-simplify]: Simplify im into im 0.121 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.121 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.121 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.121 * [taylor]: Taking taylor expansion of re in re 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (* 1 1) into 1 0.121 * [backup-simplify]: Simplify (/ 1 1) into 1 0.122 * [backup-simplify]: Simplify (+ 0 1) into 1 0.122 * [backup-simplify]: Simplify (sqrt 1) into 1 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.123 * [taylor]: Taking taylor expansion of 1 in im 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [taylor]: Taking taylor expansion of 0 in im 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.125 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.125 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.125 * [taylor]: Taking taylor expansion of 1/2 in im 0.126 * [backup-simplify]: Simplify 1/2 into 1/2 0.126 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.126 * [taylor]: Taking taylor expansion of im in im 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (* 1 1) into 1 0.126 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.129 * [taylor]: Taking taylor expansion of 0 in im 0.129 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.130 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.131 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.131 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.131 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.131 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.131 * [taylor]: Taking taylor expansion of re in im 0.131 * [backup-simplify]: Simplify re into re 0.131 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.131 * [taylor]: Taking taylor expansion of im in im 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.131 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.131 * [taylor]: Taking taylor expansion of re in re 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.131 * [taylor]: Taking taylor expansion of im in re 0.131 * [backup-simplify]: Simplify im into im 0.131 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.131 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.131 * [taylor]: Taking taylor expansion of re in re 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.131 * [taylor]: Taking taylor expansion of im in re 0.131 * [backup-simplify]: Simplify im into im 0.131 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.131 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.131 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.131 * [taylor]: Taking taylor expansion of im in im 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [taylor]: Taking taylor expansion of 0 in im 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (* 1 1) into 1 0.132 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.133 * [backup-simplify]: Simplify (+ 1 0) into 1 0.133 * [taylor]: Taking taylor expansion of 1 in im 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (* 1 1) into 1 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.134 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [taylor]: Taking taylor expansion of 0 in im 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.136 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [taylor]: Taking taylor expansion of 0 in im 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.137 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.137 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.137 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.137 * [taylor]: Taking taylor expansion of im in im 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (* 1 1) into 1 0.137 * [backup-simplify]: Simplify (/ 1 1) into 1 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.137 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.137 * [taylor]: Taking taylor expansion of re in im 0.137 * [backup-simplify]: Simplify re into re 0.137 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.137 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.137 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.137 * [taylor]: Taking taylor expansion of im in re 0.137 * [backup-simplify]: Simplify im into im 0.138 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.138 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.138 * [taylor]: Taking taylor expansion of re in re 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (* 1 1) into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.138 * [taylor]: Taking taylor expansion of im in re 0.138 * [backup-simplify]: Simplify im into im 0.138 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.138 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.138 * [taylor]: Taking taylor expansion of re in re 0.138 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (* 1 1) into 1 0.139 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [backup-simplify]: Simplify (+ 0 1) into 1 0.139 * [taylor]: Taking taylor expansion of 1 in im 0.139 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [taylor]: Taking taylor expansion of 0 in im 0.140 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 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 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [taylor]: Taking taylor expansion of 0 in im 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [taylor]: Taking taylor expansion of 0 in im 0.147 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.155 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.155 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.155 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.155 * [taylor]: Taking taylor expansion of im in im 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (* 1 1) into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.156 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.156 * [taylor]: Taking taylor expansion of re in im 0.156 * [backup-simplify]: Simplify re into re 0.156 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.157 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.157 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.157 * [taylor]: Taking taylor expansion of im in re 0.157 * [backup-simplify]: Simplify im into im 0.157 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.157 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.157 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.157 * [taylor]: Taking taylor expansion of re in re 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (* 1 1) into 1 0.158 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.158 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.158 * [taylor]: Taking taylor expansion of im in re 0.158 * [backup-simplify]: Simplify im into im 0.158 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.158 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.158 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.158 * [taylor]: Taking taylor expansion of re in re 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (* 1 1) into 1 0.159 * [backup-simplify]: Simplify (/ 1 1) into 1 0.160 * [backup-simplify]: Simplify (+ 0 1) into 1 0.160 * [taylor]: Taking taylor expansion of 1 in im 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [taylor]: Taking taylor expansion of 0 in im 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.165 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.165 * [taylor]: Taking taylor expansion of im in im 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (* 1 1) into 1 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [taylor]: Taking taylor expansion of 0 in im 0.168 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.173 * [taylor]: Taking taylor expansion of 0 in im 0.173 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 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 0.176 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.176 * * * [progress]: simplifying candidates 0.177 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.178 * * [simplify]: Extracting # 0 : cost 0 0.178 * * [simplify]: Extracting # 1 : cost 0 0.178 * * [simplify]: Extracting # 2 : cost 0 0.178 * * [simplify]: Extracting # 3 : cost 0 0.178 * * [simplify]: Extracting # 4 : cost 0 0.179 * * [simplify]: Extracting # 5 : cost 0 0.179 * * [simplify]: iteration 0 : 48 enodes (cost 379 ) 0.200 * * [simplify]: Extracting # 0 : cost 0 0.200 * * [simplify]: Extracting # 1 : cost 0 0.200 * * [simplify]: Extracting # 2 : cost 0 0.201 * * [simplify]: Extracting # 3 : cost 0 0.201 * * [simplify]: Extracting # 4 : cost 0 0.201 * * [simplify]: iteration 1 : 124 enodes (cost 347 ) 0.287 * * [simplify]: Extracting # 0 : cost 0 0.287 * * [simplify]: Extracting # 1 : cost 0 0.288 * * [simplify]: Extracting # 2 : cost 0 0.289 * * [simplify]: Extracting # 3 : cost 0 0.289 * * [simplify]: Extracting # 4 : cost 0 0.290 * * [simplify]: iteration 2 : 343 enodes (cost 295 ) 0.454 * * [simplify]: Extracting # 0 : cost 0 0.456 * * [simplify]: Extracting # 1 : cost 0 0.457 * * [simplify]: Extracting # 2 : cost 0 0.458 * * [simplify]: Extracting # 3 : cost 0 0.458 * * [simplify]: Extracting # 4 : cost 0 0.459 * * [simplify]: iteration 3 : 968 enodes (cost 295 ) 1.415 * * [simplify]: Extracting # 0 : cost 0 1.421 * * [simplify]: Extracting # 1 : cost 0 1.425 * * [simplify]: Extracting # 2 : cost 0 1.430 * * [simplify]: Extracting # 3 : cost 0 1.434 * * [simplify]: Extracting # 4 : cost 0 1.438 * * [simplify]: iteration 4 : 2668 enodes (cost 295 ) 2.866 * * [simplify]: Extracting # 0 : cost 0 2.871 * * [simplify]: Extracting # 1 : cost 0 2.877 * * [simplify]: Extracting # 2 : cost 0 2.887 * * [simplify]: Extracting # 3 : cost 0 2.892 * * [simplify]: Extracting # 4 : cost 0 2.897 * * [simplify]: iteration done: 5000 enodes (cost 295 ) 2.898 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow im 6) (pow re 6)) (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) im re (- re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 2.898 * * * [progress]: adding candidates to table 2.976 * * [progress]: iteration 2 / 4 2.976 * * * [progress]: picking best candidate 2.987 * * * * [pick]: Picked # 2.987 * * * [progress]: localizing error 2.999 * * * [progress]: generating rewritten candidates 2.999 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 3.013 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 3.023 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.102 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 3.123 * * * [progress]: generating series expansions 3.123 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 3.123 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 3.123 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.123 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.123 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.123 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.123 * [taylor]: Taking taylor expansion of re in im 3.123 * [backup-simplify]: Simplify re into re 3.123 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.123 * [taylor]: Taking taylor expansion of im in im 3.123 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify 1 into 1 3.123 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.123 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.124 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.124 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.124 * [backup-simplify]: Simplify (+ 0 0) into 0 3.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.124 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.124 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.124 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.124 * [taylor]: Taking taylor expansion of re in re 3.124 * [backup-simplify]: Simplify 0 into 0 3.124 * [backup-simplify]: Simplify 1 into 1 3.124 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.124 * [taylor]: Taking taylor expansion of im in re 3.124 * [backup-simplify]: Simplify im into im 3.124 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.125 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.125 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.125 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.125 * [backup-simplify]: Simplify (+ 0 0) into 0 3.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.125 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.125 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.125 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.125 * [taylor]: Taking taylor expansion of re in re 3.125 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify 1 into 1 3.125 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.125 * [taylor]: Taking taylor expansion of im in re 3.125 * [backup-simplify]: Simplify im into im 3.125 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.125 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.126 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.126 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.126 * [backup-simplify]: Simplify (+ 0 0) into 0 3.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.126 * [taylor]: Taking taylor expansion of im in im 3.126 * [backup-simplify]: Simplify 0 into 0 3.126 * [backup-simplify]: Simplify 1 into 1 3.126 * [backup-simplify]: Simplify 0 into 0 3.126 * [taylor]: Taking taylor expansion of 0 in im 3.126 * [backup-simplify]: Simplify 0 into 0 3.126 * [backup-simplify]: Simplify 0 into 0 3.126 * [backup-simplify]: Simplify 1 into 1 3.126 * [backup-simplify]: Simplify (* 1 1) into 1 3.127 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.127 * [backup-simplify]: Simplify (+ 1 0) into 1 3.128 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.128 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.128 * [taylor]: Taking taylor expansion of 1/2 in im 3.128 * [backup-simplify]: Simplify 1/2 into 1/2 3.128 * [taylor]: Taking taylor expansion of im in im 3.128 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify 1 into 1 3.128 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.129 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.130 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.130 * [backup-simplify]: Simplify (+ 0 0) into 0 3.130 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.130 * [taylor]: Taking taylor expansion of 0 in im 3.130 * [backup-simplify]: Simplify 0 into 0 3.130 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.131 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.131 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.131 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.131 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.131 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.131 * [taylor]: Taking taylor expansion of im in im 3.131 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify 1 into 1 3.131 * [backup-simplify]: Simplify (* 1 1) into 1 3.132 * [backup-simplify]: Simplify (/ 1 1) into 1 3.132 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.132 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.132 * [taylor]: Taking taylor expansion of re in im 3.132 * [backup-simplify]: Simplify re into re 3.132 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.132 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.132 * [backup-simplify]: Simplify (+ 1 0) into 1 3.133 * [backup-simplify]: Simplify (sqrt 1) into 1 3.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.134 * [backup-simplify]: Simplify (+ 0 0) into 0 3.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.134 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.134 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.134 * [taylor]: Taking taylor expansion of im in re 3.134 * [backup-simplify]: Simplify im into im 3.135 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.135 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.135 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.135 * [taylor]: Taking taylor expansion of re in re 3.135 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify 1 into 1 3.135 * [backup-simplify]: Simplify (* 1 1) into 1 3.135 * [backup-simplify]: Simplify (/ 1 1) into 1 3.135 * [backup-simplify]: Simplify (+ 0 1) into 1 3.136 * [backup-simplify]: Simplify (sqrt 1) into 1 3.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.137 * [backup-simplify]: Simplify (+ 0 0) into 0 3.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.137 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.137 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.137 * [taylor]: Taking taylor expansion of im in re 3.137 * [backup-simplify]: Simplify im into im 3.137 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.138 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.138 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.138 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.138 * [taylor]: Taking taylor expansion of re in re 3.138 * [backup-simplify]: Simplify 0 into 0 3.138 * [backup-simplify]: Simplify 1 into 1 3.138 * [backup-simplify]: Simplify (* 1 1) into 1 3.138 * [backup-simplify]: Simplify (/ 1 1) into 1 3.138 * [backup-simplify]: Simplify (+ 0 1) into 1 3.139 * [backup-simplify]: Simplify (sqrt 1) into 1 3.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.140 * [backup-simplify]: Simplify (+ 0 0) into 0 3.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.140 * [taylor]: Taking taylor expansion of 1 in im 3.140 * [backup-simplify]: Simplify 1 into 1 3.140 * [taylor]: Taking taylor expansion of 0 in im 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 1 into 1 3.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.142 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.144 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.144 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.144 * [taylor]: Taking taylor expansion of 1/2 in im 3.144 * [backup-simplify]: Simplify 1/2 into 1/2 3.144 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.144 * [taylor]: Taking taylor expansion of im in im 3.144 * [backup-simplify]: Simplify 0 into 0 3.144 * [backup-simplify]: Simplify 1 into 1 3.144 * [backup-simplify]: Simplify (* 1 1) into 1 3.145 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.146 * [backup-simplify]: Simplify 0 into 0 3.147 * [backup-simplify]: Simplify 0 into 0 3.147 * [backup-simplify]: Simplify 0 into 0 3.147 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.150 * [backup-simplify]: Simplify (+ 0 0) into 0 3.150 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.150 * [taylor]: Taking taylor expansion of 0 in im 3.150 * [backup-simplify]: Simplify 0 into 0 3.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.152 * [backup-simplify]: Simplify 0 into 0 3.152 * [backup-simplify]: Simplify 0 into 0 3.152 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.153 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.153 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.153 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.153 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.153 * [taylor]: Taking taylor expansion of im in im 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 1 into 1 3.154 * [backup-simplify]: Simplify (* 1 1) into 1 3.154 * [backup-simplify]: Simplify (/ 1 1) into 1 3.154 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.154 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.154 * [taylor]: Taking taylor expansion of re in im 3.154 * [backup-simplify]: Simplify re into re 3.154 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.154 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.155 * [backup-simplify]: Simplify (+ 1 0) into 1 3.155 * [backup-simplify]: Simplify (sqrt 1) into 1 3.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.157 * [backup-simplify]: Simplify (+ 0 0) into 0 3.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.158 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.158 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.158 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.158 * [taylor]: Taking taylor expansion of im in re 3.158 * [backup-simplify]: Simplify im into im 3.158 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.158 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.158 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.158 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.158 * [taylor]: Taking taylor expansion of re in re 3.158 * [backup-simplify]: Simplify 0 into 0 3.158 * [backup-simplify]: Simplify 1 into 1 3.159 * [backup-simplify]: Simplify (* 1 1) into 1 3.159 * [backup-simplify]: Simplify (/ 1 1) into 1 3.160 * [backup-simplify]: Simplify (+ 0 1) into 1 3.160 * [backup-simplify]: Simplify (sqrt 1) into 1 3.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.162 * [backup-simplify]: Simplify (+ 0 0) into 0 3.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.162 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.163 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.163 * [taylor]: Taking taylor expansion of im in re 3.163 * [backup-simplify]: Simplify im into im 3.163 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.163 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.163 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.163 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.163 * [taylor]: Taking taylor expansion of re in re 3.163 * [backup-simplify]: Simplify 0 into 0 3.163 * [backup-simplify]: Simplify 1 into 1 3.163 * [backup-simplify]: Simplify (* 1 1) into 1 3.164 * [backup-simplify]: Simplify (/ 1 1) into 1 3.164 * [backup-simplify]: Simplify (+ 0 1) into 1 3.165 * [backup-simplify]: Simplify (sqrt 1) into 1 3.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.166 * [backup-simplify]: Simplify (+ 0 0) into 0 3.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.167 * [taylor]: Taking taylor expansion of 1 in im 3.167 * [backup-simplify]: Simplify 1 into 1 3.167 * [taylor]: Taking taylor expansion of 0 in im 3.167 * [backup-simplify]: Simplify 0 into 0 3.167 * [backup-simplify]: Simplify 1 into 1 3.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.169 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.171 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.171 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.171 * [taylor]: Taking taylor expansion of 1/2 in im 3.171 * [backup-simplify]: Simplify 1/2 into 1/2 3.171 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.171 * [taylor]: Taking taylor expansion of im in im 3.171 * [backup-simplify]: Simplify 0 into 0 3.171 * [backup-simplify]: Simplify 1 into 1 3.171 * [backup-simplify]: Simplify (* 1 1) into 1 3.172 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.173 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.175 * [backup-simplify]: Simplify (+ 0 0) into 0 3.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.175 * [taylor]: Taking taylor expansion of 0 in im 3.175 * [backup-simplify]: Simplify 0 into 0 3.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.176 * [backup-simplify]: Simplify 0 into 0 3.176 * [backup-simplify]: Simplify 0 into 0 3.176 * [backup-simplify]: Simplify 0 into 0 3.176 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.177 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 3.177 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 3.177 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.177 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.177 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.177 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.177 * [taylor]: Taking taylor expansion of re in im 3.177 * [backup-simplify]: Simplify re into re 3.177 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.177 * [taylor]: Taking taylor expansion of im in im 3.177 * [backup-simplify]: Simplify 0 into 0 3.177 * [backup-simplify]: Simplify 1 into 1 3.177 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.177 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.177 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.177 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.177 * [backup-simplify]: Simplify (+ 0 0) into 0 3.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.178 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.178 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.178 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.178 * [taylor]: Taking taylor expansion of re in re 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify 1 into 1 3.178 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.178 * [taylor]: Taking taylor expansion of im in re 3.178 * [backup-simplify]: Simplify im into im 3.178 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.178 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.178 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.178 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.178 * [backup-simplify]: Simplify (+ 0 0) into 0 3.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.178 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.178 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.178 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.178 * [taylor]: Taking taylor expansion of re in re 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify 1 into 1 3.178 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.178 * [taylor]: Taking taylor expansion of im in re 3.179 * [backup-simplify]: Simplify im into im 3.179 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.179 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.179 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.179 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.179 * [backup-simplify]: Simplify (+ 0 0) into 0 3.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.179 * [taylor]: Taking taylor expansion of im in im 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify 1 into 1 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [taylor]: Taking taylor expansion of 0 in im 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify 1 into 1 3.180 * [backup-simplify]: Simplify (* 1 1) into 1 3.180 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.180 * [backup-simplify]: Simplify (+ 1 0) into 1 3.181 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.181 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.181 * [taylor]: Taking taylor expansion of 1/2 in im 3.181 * [backup-simplify]: Simplify 1/2 into 1/2 3.181 * [taylor]: Taking taylor expansion of im in im 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify 1 into 1 3.181 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.182 * [backup-simplify]: Simplify 0 into 0 3.182 * [backup-simplify]: Simplify 0 into 0 3.182 * [backup-simplify]: Simplify 0 into 0 3.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.183 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.183 * [backup-simplify]: Simplify (+ 0 0) into 0 3.183 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.183 * [taylor]: Taking taylor expansion of 0 in im 3.183 * [backup-simplify]: Simplify 0 into 0 3.183 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.184 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.185 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.185 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.185 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.185 * [taylor]: Taking taylor expansion of im in im 3.185 * [backup-simplify]: Simplify 0 into 0 3.185 * [backup-simplify]: Simplify 1 into 1 3.185 * [backup-simplify]: Simplify (* 1 1) into 1 3.186 * [backup-simplify]: Simplify (/ 1 1) into 1 3.186 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.186 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.186 * [taylor]: Taking taylor expansion of re in im 3.186 * [backup-simplify]: Simplify re into re 3.186 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.186 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.186 * [backup-simplify]: Simplify (+ 1 0) into 1 3.187 * [backup-simplify]: Simplify (sqrt 1) into 1 3.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.189 * [backup-simplify]: Simplify (+ 0 0) into 0 3.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.190 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.190 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.190 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.190 * [taylor]: Taking taylor expansion of im in re 3.190 * [backup-simplify]: Simplify im into im 3.190 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.190 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.190 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.190 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.190 * [taylor]: Taking taylor expansion of re in re 3.190 * [backup-simplify]: Simplify 0 into 0 3.190 * [backup-simplify]: Simplify 1 into 1 3.191 * [backup-simplify]: Simplify (* 1 1) into 1 3.191 * [backup-simplify]: Simplify (/ 1 1) into 1 3.191 * [backup-simplify]: Simplify (+ 0 1) into 1 3.192 * [backup-simplify]: Simplify (sqrt 1) into 1 3.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.194 * [backup-simplify]: Simplify (+ 0 0) into 0 3.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.194 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.194 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.194 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.194 * [taylor]: Taking taylor expansion of im in re 3.195 * [backup-simplify]: Simplify im into im 3.195 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.195 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.195 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.195 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.195 * [taylor]: Taking taylor expansion of re in re 3.195 * [backup-simplify]: Simplify 0 into 0 3.195 * [backup-simplify]: Simplify 1 into 1 3.195 * [backup-simplify]: Simplify (* 1 1) into 1 3.196 * [backup-simplify]: Simplify (/ 1 1) into 1 3.196 * [backup-simplify]: Simplify (+ 0 1) into 1 3.196 * [backup-simplify]: Simplify (sqrt 1) into 1 3.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.198 * [backup-simplify]: Simplify (+ 0 0) into 0 3.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.199 * [taylor]: Taking taylor expansion of 1 in im 3.199 * [backup-simplify]: Simplify 1 into 1 3.199 * [taylor]: Taking taylor expansion of 0 in im 3.199 * [backup-simplify]: Simplify 0 into 0 3.199 * [backup-simplify]: Simplify 1 into 1 3.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.202 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.203 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.203 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.203 * [taylor]: Taking taylor expansion of 1/2 in im 3.203 * [backup-simplify]: Simplify 1/2 into 1/2 3.203 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.203 * [taylor]: Taking taylor expansion of im in im 3.203 * [backup-simplify]: Simplify 0 into 0 3.203 * [backup-simplify]: Simplify 1 into 1 3.204 * [backup-simplify]: Simplify (* 1 1) into 1 3.204 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.205 * [backup-simplify]: Simplify 0 into 0 3.205 * [backup-simplify]: Simplify 0 into 0 3.206 * [backup-simplify]: Simplify 0 into 0 3.206 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.208 * [backup-simplify]: Simplify (+ 0 0) into 0 3.209 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.209 * [taylor]: Taking taylor expansion of 0 in im 3.209 * [backup-simplify]: Simplify 0 into 0 3.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.211 * [backup-simplify]: Simplify 0 into 0 3.211 * [backup-simplify]: Simplify 0 into 0 3.211 * [backup-simplify]: Simplify 0 into 0 3.211 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.211 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.211 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.211 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.211 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.211 * [taylor]: Taking taylor expansion of im in im 3.211 * [backup-simplify]: Simplify 0 into 0 3.211 * [backup-simplify]: Simplify 1 into 1 3.212 * [backup-simplify]: Simplify (* 1 1) into 1 3.212 * [backup-simplify]: Simplify (/ 1 1) into 1 3.212 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.212 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.212 * [taylor]: Taking taylor expansion of re in im 3.212 * [backup-simplify]: Simplify re into re 3.212 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.213 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.213 * [backup-simplify]: Simplify (+ 1 0) into 1 3.214 * [backup-simplify]: Simplify (sqrt 1) into 1 3.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.220 * [backup-simplify]: Simplify (+ 0 0) into 0 3.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.221 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.221 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.221 * [taylor]: Taking taylor expansion of im in re 3.221 * [backup-simplify]: Simplify im into im 3.221 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.221 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.222 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.222 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.222 * [taylor]: Taking taylor expansion of re in re 3.222 * [backup-simplify]: Simplify 0 into 0 3.222 * [backup-simplify]: Simplify 1 into 1 3.222 * [backup-simplify]: Simplify (* 1 1) into 1 3.222 * [backup-simplify]: Simplify (/ 1 1) into 1 3.223 * [backup-simplify]: Simplify (+ 0 1) into 1 3.223 * [backup-simplify]: Simplify (sqrt 1) into 1 3.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.225 * [backup-simplify]: Simplify (+ 0 0) into 0 3.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.226 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.226 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.226 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.226 * [taylor]: Taking taylor expansion of im in re 3.226 * [backup-simplify]: Simplify im into im 3.226 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.226 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.226 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.226 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.226 * [taylor]: Taking taylor expansion of re in re 3.226 * [backup-simplify]: Simplify 0 into 0 3.226 * [backup-simplify]: Simplify 1 into 1 3.227 * [backup-simplify]: Simplify (* 1 1) into 1 3.227 * [backup-simplify]: Simplify (/ 1 1) into 1 3.227 * [backup-simplify]: Simplify (+ 0 1) into 1 3.227 * [backup-simplify]: Simplify (sqrt 1) into 1 3.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.228 * [backup-simplify]: Simplify (+ 0 0) into 0 3.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.229 * [taylor]: Taking taylor expansion of 1 in im 3.229 * [backup-simplify]: Simplify 1 into 1 3.229 * [taylor]: Taking taylor expansion of 0 in im 3.229 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify 1 into 1 3.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.230 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.231 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.231 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.231 * [taylor]: Taking taylor expansion of 1/2 in im 3.231 * [backup-simplify]: Simplify 1/2 into 1/2 3.231 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.231 * [taylor]: Taking taylor expansion of im in im 3.231 * [backup-simplify]: Simplify 0 into 0 3.231 * [backup-simplify]: Simplify 1 into 1 3.231 * [backup-simplify]: Simplify (* 1 1) into 1 3.232 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.233 * [backup-simplify]: Simplify 0 into 0 3.233 * [backup-simplify]: Simplify 0 into 0 3.233 * [backup-simplify]: Simplify 0 into 0 3.233 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.234 * [backup-simplify]: Simplify (+ 0 0) into 0 3.235 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.235 * [taylor]: Taking taylor expansion of 0 in im 3.235 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.236 * [backup-simplify]: Simplify 0 into 0 3.236 * [backup-simplify]: Simplify 0 into 0 3.236 * [backup-simplify]: Simplify 0 into 0 3.236 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.236 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.236 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 3.236 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.236 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.236 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.236 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.236 * [taylor]: Taking taylor expansion of re in im 3.237 * [backup-simplify]: Simplify re into re 3.237 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.237 * [taylor]: Taking taylor expansion of im in im 3.237 * [backup-simplify]: Simplify 0 into 0 3.237 * [backup-simplify]: Simplify 1 into 1 3.237 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.237 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.237 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.237 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.237 * [backup-simplify]: Simplify (+ 0 0) into 0 3.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.237 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.237 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.237 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.237 * [taylor]: Taking taylor expansion of re in re 3.238 * [backup-simplify]: Simplify 0 into 0 3.238 * [backup-simplify]: Simplify 1 into 1 3.238 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.238 * [taylor]: Taking taylor expansion of im in re 3.238 * [backup-simplify]: Simplify im into im 3.238 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.238 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.238 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.238 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.238 * [backup-simplify]: Simplify (+ 0 0) into 0 3.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.238 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.238 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.238 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.238 * [taylor]: Taking taylor expansion of re in re 3.238 * [backup-simplify]: Simplify 0 into 0 3.238 * [backup-simplify]: Simplify 1 into 1 3.238 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.238 * [taylor]: Taking taylor expansion of im in re 3.238 * [backup-simplify]: Simplify im into im 3.238 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.239 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.239 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.239 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.239 * [backup-simplify]: Simplify (+ 0 0) into 0 3.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.239 * [taylor]: Taking taylor expansion of im in im 3.239 * [backup-simplify]: Simplify 0 into 0 3.239 * [backup-simplify]: Simplify 1 into 1 3.239 * [backup-simplify]: Simplify 0 into 0 3.239 * [taylor]: Taking taylor expansion of 0 in im 3.239 * [backup-simplify]: Simplify 0 into 0 3.239 * [backup-simplify]: Simplify 0 into 0 3.239 * [backup-simplify]: Simplify 1 into 1 3.240 * [backup-simplify]: Simplify (* 1 1) into 1 3.240 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.240 * [backup-simplify]: Simplify (+ 1 0) into 1 3.241 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.241 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.241 * [taylor]: Taking taylor expansion of 1/2 in im 3.241 * [backup-simplify]: Simplify 1/2 into 1/2 3.241 * [taylor]: Taking taylor expansion of im in im 3.241 * [backup-simplify]: Simplify 0 into 0 3.241 * [backup-simplify]: Simplify 1 into 1 3.241 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.243 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.243 * [backup-simplify]: Simplify (+ 0 0) into 0 3.243 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.243 * [taylor]: Taking taylor expansion of 0 in im 3.243 * [backup-simplify]: Simplify 0 into 0 3.243 * [backup-simplify]: Simplify 0 into 0 3.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.244 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.244 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.244 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.244 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.244 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.244 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.244 * [taylor]: Taking taylor expansion of im in im 3.244 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify 1 into 1 3.244 * [backup-simplify]: Simplify (* 1 1) into 1 3.245 * [backup-simplify]: Simplify (/ 1 1) into 1 3.245 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.245 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.245 * [taylor]: Taking taylor expansion of re in im 3.245 * [backup-simplify]: Simplify re into re 3.245 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.245 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.246 * [backup-simplify]: Simplify (+ 1 0) into 1 3.246 * [backup-simplify]: Simplify (sqrt 1) into 1 3.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.248 * [backup-simplify]: Simplify (+ 0 0) into 0 3.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.248 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.249 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.249 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.249 * [taylor]: Taking taylor expansion of im in re 3.249 * [backup-simplify]: Simplify im into im 3.249 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.249 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.249 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.249 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.249 * [taylor]: Taking taylor expansion of re in re 3.249 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify 1 into 1 3.249 * [backup-simplify]: Simplify (* 1 1) into 1 3.250 * [backup-simplify]: Simplify (/ 1 1) into 1 3.250 * [backup-simplify]: Simplify (+ 0 1) into 1 3.251 * [backup-simplify]: Simplify (sqrt 1) into 1 3.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.253 * [backup-simplify]: Simplify (+ 0 0) into 0 3.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.254 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.254 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.254 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.254 * [taylor]: Taking taylor expansion of im in re 3.254 * [backup-simplify]: Simplify im into im 3.254 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.254 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.254 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.254 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.254 * [taylor]: Taking taylor expansion of re in re 3.254 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify 1 into 1 3.255 * [backup-simplify]: Simplify (* 1 1) into 1 3.255 * [backup-simplify]: Simplify (/ 1 1) into 1 3.255 * [backup-simplify]: Simplify (+ 0 1) into 1 3.256 * [backup-simplify]: Simplify (sqrt 1) into 1 3.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.258 * [backup-simplify]: Simplify (+ 0 0) into 0 3.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.258 * [taylor]: Taking taylor expansion of 1 in im 3.258 * [backup-simplify]: Simplify 1 into 1 3.258 * [taylor]: Taking taylor expansion of 0 in im 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 1 into 1 3.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.261 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.262 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.262 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.262 * [taylor]: Taking taylor expansion of 1/2 in im 3.262 * [backup-simplify]: Simplify 1/2 into 1/2 3.262 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.262 * [taylor]: Taking taylor expansion of im in im 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify 1 into 1 3.263 * [backup-simplify]: Simplify (* 1 1) into 1 3.263 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.268 * [backup-simplify]: Simplify (+ 0 0) into 0 3.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.269 * [taylor]: Taking taylor expansion of 0 in im 3.269 * [backup-simplify]: Simplify 0 into 0 3.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.271 * [backup-simplify]: Simplify 0 into 0 3.271 * [backup-simplify]: Simplify 0 into 0 3.271 * [backup-simplify]: Simplify 0 into 0 3.271 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.272 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.272 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.273 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.273 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.273 * [taylor]: Taking taylor expansion of im in im 3.273 * [backup-simplify]: Simplify 0 into 0 3.273 * [backup-simplify]: Simplify 1 into 1 3.273 * [backup-simplify]: Simplify (* 1 1) into 1 3.274 * [backup-simplify]: Simplify (/ 1 1) into 1 3.274 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.274 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.274 * [taylor]: Taking taylor expansion of re in im 3.274 * [backup-simplify]: Simplify re into re 3.274 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.274 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.275 * [backup-simplify]: Simplify (+ 1 0) into 1 3.275 * [backup-simplify]: Simplify (sqrt 1) into 1 3.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.277 * [backup-simplify]: Simplify (+ 0 0) into 0 3.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.278 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.278 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.278 * [taylor]: Taking taylor expansion of im in re 3.278 * [backup-simplify]: Simplify im into im 3.278 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.278 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.278 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.278 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.278 * [taylor]: Taking taylor expansion of re in re 3.278 * [backup-simplify]: Simplify 0 into 0 3.278 * [backup-simplify]: Simplify 1 into 1 3.279 * [backup-simplify]: Simplify (* 1 1) into 1 3.279 * [backup-simplify]: Simplify (/ 1 1) into 1 3.280 * [backup-simplify]: Simplify (+ 0 1) into 1 3.280 * [backup-simplify]: Simplify (sqrt 1) into 1 3.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.282 * [backup-simplify]: Simplify (+ 0 0) into 0 3.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.283 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.283 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.283 * [taylor]: Taking taylor expansion of im in re 3.283 * [backup-simplify]: Simplify im into im 3.283 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.283 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.283 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.283 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.283 * [taylor]: Taking taylor expansion of re in re 3.283 * [backup-simplify]: Simplify 0 into 0 3.283 * [backup-simplify]: Simplify 1 into 1 3.284 * [backup-simplify]: Simplify (* 1 1) into 1 3.284 * [backup-simplify]: Simplify (/ 1 1) into 1 3.284 * [backup-simplify]: Simplify (+ 0 1) into 1 3.285 * [backup-simplify]: Simplify (sqrt 1) into 1 3.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.286 * [backup-simplify]: Simplify (+ 0 0) into 0 3.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.287 * [taylor]: Taking taylor expansion of 1 in im 3.287 * [backup-simplify]: Simplify 1 into 1 3.287 * [taylor]: Taking taylor expansion of 0 in im 3.287 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify 1 into 1 3.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.290 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.291 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.291 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.291 * [taylor]: Taking taylor expansion of 1/2 in im 3.291 * [backup-simplify]: Simplify 1/2 into 1/2 3.291 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.291 * [taylor]: Taking taylor expansion of im in im 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 1 into 1 3.292 * [backup-simplify]: Simplify (* 1 1) into 1 3.292 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.293 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.296 * [backup-simplify]: Simplify (+ 0 0) into 0 3.297 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.297 * [taylor]: Taking taylor expansion of 0 in im 3.297 * [backup-simplify]: Simplify 0 into 0 3.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.299 * [backup-simplify]: Simplify 0 into 0 3.299 * [backup-simplify]: Simplify 0 into 0 3.299 * [backup-simplify]: Simplify 0 into 0 3.299 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.299 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 3.299 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 3.299 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 3.299 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.300 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.300 * [taylor]: Taking taylor expansion of re in im 3.300 * [backup-simplify]: Simplify re into re 3.300 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.300 * [taylor]: Taking taylor expansion of im in im 3.300 * [backup-simplify]: Simplify 0 into 0 3.300 * [backup-simplify]: Simplify 1 into 1 3.300 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.300 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.300 * [taylor]: Taking taylor expansion of re in re 3.300 * [backup-simplify]: Simplify 0 into 0 3.300 * [backup-simplify]: Simplify 1 into 1 3.300 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.300 * [taylor]: Taking taylor expansion of im in re 3.300 * [backup-simplify]: Simplify im into im 3.300 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.300 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.300 * [taylor]: Taking taylor expansion of re in re 3.300 * [backup-simplify]: Simplify 0 into 0 3.300 * [backup-simplify]: Simplify 1 into 1 3.300 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.300 * [taylor]: Taking taylor expansion of im in re 3.300 * [backup-simplify]: Simplify im into im 3.300 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.300 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.301 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.301 * [taylor]: Taking taylor expansion of im in im 3.301 * [backup-simplify]: Simplify 0 into 0 3.301 * [backup-simplify]: Simplify 1 into 1 3.301 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.301 * [backup-simplify]: Simplify (+ 0 0) into 0 3.301 * [taylor]: Taking taylor expansion of 0 in im 3.301 * [backup-simplify]: Simplify 0 into 0 3.301 * [backup-simplify]: Simplify 0 into 0 3.301 * [backup-simplify]: Simplify (* 1 1) into 1 3.302 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.302 * [backup-simplify]: Simplify (+ 1 0) into 1 3.302 * [taylor]: Taking taylor expansion of 1 in im 3.302 * [backup-simplify]: Simplify 1 into 1 3.302 * [backup-simplify]: Simplify 1 into 1 3.302 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify (* 1 1) into 1 3.302 * [backup-simplify]: Simplify 1 into 1 3.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.303 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.303 * [backup-simplify]: Simplify (+ 0 0) into 0 3.303 * [taylor]: Taking taylor expansion of 0 in im 3.303 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.304 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.305 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 3.305 * [backup-simplify]: Simplify (+ 0 0) into 0 3.305 * [taylor]: Taking taylor expansion of 0 in im 3.305 * [backup-simplify]: Simplify 0 into 0 3.305 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 3.306 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 3.306 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 3.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.306 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.306 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.306 * [taylor]: Taking taylor expansion of im in im 3.306 * [backup-simplify]: Simplify 0 into 0 3.306 * [backup-simplify]: Simplify 1 into 1 3.306 * [backup-simplify]: Simplify (* 1 1) into 1 3.307 * [backup-simplify]: Simplify (/ 1 1) into 1 3.307 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.307 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.307 * [taylor]: Taking taylor expansion of re in im 3.307 * [backup-simplify]: Simplify re into re 3.307 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.307 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.307 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.307 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.307 * [taylor]: Taking taylor expansion of im in re 3.307 * [backup-simplify]: Simplify im into im 3.307 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.307 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.307 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.307 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.307 * [taylor]: Taking taylor expansion of re in re 3.307 * [backup-simplify]: Simplify 0 into 0 3.307 * [backup-simplify]: Simplify 1 into 1 3.307 * [backup-simplify]: Simplify (* 1 1) into 1 3.308 * [backup-simplify]: Simplify (/ 1 1) into 1 3.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.308 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.308 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.308 * [taylor]: Taking taylor expansion of im in re 3.308 * [backup-simplify]: Simplify im into im 3.308 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.308 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.308 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.308 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.308 * [taylor]: Taking taylor expansion of re in re 3.308 * [backup-simplify]: Simplify 0 into 0 3.308 * [backup-simplify]: Simplify 1 into 1 3.308 * [backup-simplify]: Simplify (* 1 1) into 1 3.308 * [backup-simplify]: Simplify (/ 1 1) into 1 3.309 * [backup-simplify]: Simplify (+ 0 1) into 1 3.309 * [taylor]: Taking taylor expansion of 1 in im 3.309 * [backup-simplify]: Simplify 1 into 1 3.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.310 * [backup-simplify]: Simplify (+ 0 0) into 0 3.310 * [taylor]: Taking taylor expansion of 0 in im 3.310 * [backup-simplify]: Simplify 0 into 0 3.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.311 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.311 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.311 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.311 * [taylor]: Taking taylor expansion of im in im 3.311 * [backup-simplify]: Simplify 0 into 0 3.311 * [backup-simplify]: Simplify 1 into 1 3.311 * [backup-simplify]: Simplify (* 1 1) into 1 3.312 * [backup-simplify]: Simplify (/ 1 1) into 1 3.312 * [backup-simplify]: Simplify 1 into 1 3.312 * [backup-simplify]: Simplify 1 into 1 3.312 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.314 * [backup-simplify]: Simplify (+ 0 0) into 0 3.314 * [taylor]: Taking taylor expansion of 0 in im 3.314 * [backup-simplify]: Simplify 0 into 0 3.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 3.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.319 * [backup-simplify]: Simplify (+ 0 0) into 0 3.319 * [taylor]: Taking taylor expansion of 0 in im 3.319 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.321 * [backup-simplify]: Simplify 0 into 0 3.321 * [backup-simplify]: Simplify 0 into 0 3.321 * [backup-simplify]: Simplify 0 into 0 3.321 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 3.321 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 3.321 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 3.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.322 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.322 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.322 * [taylor]: Taking taylor expansion of im in im 3.322 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify 1 into 1 3.322 * [backup-simplify]: Simplify (* 1 1) into 1 3.322 * [backup-simplify]: Simplify (/ 1 1) into 1 3.322 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.322 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.322 * [taylor]: Taking taylor expansion of re in im 3.323 * [backup-simplify]: Simplify re into re 3.323 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.323 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.323 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.323 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.323 * [taylor]: Taking taylor expansion of im in re 3.323 * [backup-simplify]: Simplify im into im 3.323 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.323 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.323 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.323 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.323 * [taylor]: Taking taylor expansion of re in re 3.323 * [backup-simplify]: Simplify 0 into 0 3.323 * [backup-simplify]: Simplify 1 into 1 3.324 * [backup-simplify]: Simplify (* 1 1) into 1 3.324 * [backup-simplify]: Simplify (/ 1 1) into 1 3.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.324 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.324 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.324 * [taylor]: Taking taylor expansion of im in re 3.324 * [backup-simplify]: Simplify im into im 3.324 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.324 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.324 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.324 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.324 * [taylor]: Taking taylor expansion of re in re 3.324 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify 1 into 1 3.325 * [backup-simplify]: Simplify (* 1 1) into 1 3.325 * [backup-simplify]: Simplify (/ 1 1) into 1 3.326 * [backup-simplify]: Simplify (+ 0 1) into 1 3.326 * [taylor]: Taking taylor expansion of 1 in im 3.326 * [backup-simplify]: Simplify 1 into 1 3.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.327 * [backup-simplify]: Simplify (+ 0 0) into 0 3.327 * [taylor]: Taking taylor expansion of 0 in im 3.327 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.329 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.329 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.329 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.329 * [taylor]: Taking taylor expansion of im in im 3.329 * [backup-simplify]: Simplify 0 into 0 3.329 * [backup-simplify]: Simplify 1 into 1 3.330 * [backup-simplify]: Simplify (* 1 1) into 1 3.330 * [backup-simplify]: Simplify (/ 1 1) into 1 3.330 * [backup-simplify]: Simplify 1 into 1 3.330 * [backup-simplify]: Simplify 1 into 1 3.330 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.333 * [backup-simplify]: Simplify (+ 0 0) into 0 3.333 * [taylor]: Taking taylor expansion of 0 in im 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.334 * [backup-simplify]: Simplify 0 into 0 3.334 * [backup-simplify]: Simplify 0 into 0 3.334 * [backup-simplify]: Simplify 0 into 0 3.334 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 3.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.336 * [backup-simplify]: Simplify (+ 0 0) into 0 3.336 * [taylor]: Taking taylor expansion of 0 in im 3.336 * [backup-simplify]: Simplify 0 into 0 3.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.337 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 3.337 * * * [progress]: simplifying candidates 3.339 * [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 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cost 0 3.343 * * [simplify]: Extracting # 1 : cost 0 3.343 * * [simplify]: Extracting # 2 : cost 0 3.344 * * [simplify]: Extracting # 3 : cost 0 3.344 * * [simplify]: Extracting # 4 : cost 0 3.344 * * [simplify]: Extracting # 5 : cost 0 3.344 * * [simplify]: Extracting # 6 : cost 0 3.344 * * [simplify]: iteration 0 : 121 enodes (cost 2803 ) 3.397 * * [simplify]: Extracting # 0 : cost 0 3.397 * * [simplify]: Extracting # 1 : cost 0 3.398 * * [simplify]: Extracting # 2 : cost 0 3.398 * * [simplify]: Extracting # 3 : cost 0 3.398 * * [simplify]: Extracting # 4 : cost 0 3.398 * * [simplify]: iteration 1 : 233 enodes (cost 1759 ) 3.492 * * [simplify]: Extracting # 0 : cost 0 3.493 * * [simplify]: Extracting # 1 : cost 0 3.494 * * [simplify]: Extracting # 2 : cost 0 3.494 * * [simplify]: Extracting # 3 : cost 0 3.495 * * [simplify]: Extracting # 4 : cost 0 3.495 * * [simplify]: iteration 2 : 638 enodes (cost 1533 ) 4.070 * * [simplify]: Extracting # 0 : cost 0 4.074 * * [simplify]: Extracting # 1 : cost 0 4.078 * * [simplify]: Extracting # 2 : cost 0 4.089 * * [simplify]: Extracting # 3 : cost 0 4.093 * * [simplify]: Extracting # 4 : cost 0 4.097 * * [simplify]: iteration 3 : 2187 enodes (cost 1496 ) 5.472 * * [simplify]: Extracting # 0 : cost 0 5.478 * * [simplify]: Extracting # 1 : cost 0 5.486 * * [simplify]: Extracting # 2 : cost 0 5.491 * * [simplify]: Extracting # 3 : cost 0 5.497 * * [simplify]: Extracting # 4 : cost 0 5.502 * * [simplify]: iteration done: 5000 enodes (cost 1457 ) 5.503 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* 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(+ (* re re) (* im im)))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (+ (* re re) (* im im))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (+ (* re re) (* im im))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (+ (* re re) (* im im))) (* (sqrt (sqrt (+ (pow im 2) (pow re 2)))) (sqrt (sqrt (+ (pow im 6) (pow re 6))))) (* (sqrt (sqrt (- (pow re 4) (pow im 4)))) (sqrt (sqrt (+ (pow im 2) (pow re 2))))) (* (sqrt (sqrt (+ (pow im 2) (pow re 2)))) (sqrt (sqrt (+ (pow im 6) (pow re 6))))) (* (sqrt (sqrt (- (pow re 4) (pow im 4)))) (sqrt (sqrt (+ (pow im 2) (pow re 2))))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* im im) (* re re)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow im 6) (pow re 6)) (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)) (- (pow re 4) (pow im 4)) (- (* re re) (pow im 2)) im re (- re) im re (- re) im re (- re) (+ (* im im) (* re re)) (+ (* im im) (* re re)) (+ (* im im) (* re re)) 5.504 * * * [progress]: adding candidates to table 5.850 * * [progress]: iteration 3 / 4 5.850 * * * [progress]: picking best candidate 5.866 * * * * [pick]: Picked # 5.866 * * * [progress]: localizing error 5.909 * * * [progress]: generating rewritten candidates 5.909 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 5.919 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 5.928 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 5.937 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 5.950 * * * [progress]: generating series expansions 5.950 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 5.950 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 5.950 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 5.950 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.950 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.950 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.950 * [taylor]: Taking taylor expansion of re in im 5.950 * [backup-simplify]: Simplify re into re 5.950 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.950 * [taylor]: Taking taylor expansion of im in im 5.950 * [backup-simplify]: Simplify 0 into 0 5.950 * [backup-simplify]: Simplify 1 into 1 5.951 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.951 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.951 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.951 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.952 * [backup-simplify]: Simplify (+ 0 0) into 0 5.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.952 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.952 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.952 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.952 * [taylor]: Taking taylor expansion of re in re 5.952 * [backup-simplify]: Simplify 0 into 0 5.952 * [backup-simplify]: Simplify 1 into 1 5.952 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.952 * [taylor]: Taking taylor expansion of im in re 5.952 * [backup-simplify]: Simplify im into im 5.952 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.952 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.953 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.953 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.953 * [backup-simplify]: Simplify (+ 0 0) into 0 5.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.953 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.953 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.953 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.953 * [taylor]: Taking taylor expansion of re in re 5.953 * [backup-simplify]: Simplify 0 into 0 5.953 * [backup-simplify]: Simplify 1 into 1 5.953 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.953 * [taylor]: Taking taylor expansion of im in re 5.953 * [backup-simplify]: Simplify im into im 5.954 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.954 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.954 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.954 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.954 * [backup-simplify]: Simplify (+ 0 0) into 0 5.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.955 * [taylor]: Taking taylor expansion of im in im 5.955 * [backup-simplify]: Simplify 0 into 0 5.955 * [backup-simplify]: Simplify 1 into 1 5.955 * [backup-simplify]: Simplify 0 into 0 5.955 * [taylor]: Taking taylor expansion of 0 in im 5.955 * [backup-simplify]: Simplify 0 into 0 5.955 * [backup-simplify]: Simplify 0 into 0 5.955 * [backup-simplify]: Simplify 1 into 1 5.955 * [backup-simplify]: Simplify (* 1 1) into 1 5.956 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.956 * [backup-simplify]: Simplify (+ 1 0) into 1 5.957 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.957 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.957 * [taylor]: Taking taylor expansion of 1/2 in im 5.957 * [backup-simplify]: Simplify 1/2 into 1/2 5.957 * [taylor]: Taking taylor expansion of im in im 5.957 * [backup-simplify]: Simplify 0 into 0 5.957 * [backup-simplify]: Simplify 1 into 1 5.958 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.959 * [backup-simplify]: Simplify 0 into 0 5.959 * [backup-simplify]: Simplify 0 into 0 5.959 * [backup-simplify]: Simplify 0 into 0 5.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.961 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.961 * [backup-simplify]: Simplify (+ 0 0) into 0 5.961 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.961 * [taylor]: Taking taylor expansion of 0 in im 5.961 * [backup-simplify]: Simplify 0 into 0 5.961 * [backup-simplify]: Simplify 0 into 0 5.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.962 * [backup-simplify]: Simplify 0 into 0 5.962 * [backup-simplify]: Simplify 0 into 0 5.963 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.963 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.963 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.963 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.963 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.963 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.963 * [taylor]: Taking taylor expansion of im in im 5.963 * [backup-simplify]: Simplify 0 into 0 5.963 * [backup-simplify]: Simplify 1 into 1 5.964 * [backup-simplify]: Simplify (* 1 1) into 1 5.964 * [backup-simplify]: Simplify (/ 1 1) into 1 5.964 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.964 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.964 * [taylor]: Taking taylor expansion of re in im 5.964 * [backup-simplify]: Simplify re into re 5.964 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.964 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.965 * [backup-simplify]: Simplify (+ 1 0) into 1 5.965 * [backup-simplify]: Simplify (sqrt 1) into 1 5.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.967 * [backup-simplify]: Simplify (+ 0 0) into 0 5.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.968 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.968 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.968 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.968 * [taylor]: Taking taylor expansion of im in re 5.968 * [backup-simplify]: Simplify im into im 5.968 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.968 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.969 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.969 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.969 * [taylor]: Taking taylor expansion of re in re 5.969 * [backup-simplify]: Simplify 0 into 0 5.969 * [backup-simplify]: Simplify 1 into 1 5.969 * [backup-simplify]: Simplify (* 1 1) into 1 5.969 * [backup-simplify]: Simplify (/ 1 1) into 1 5.970 * [backup-simplify]: Simplify (+ 0 1) into 1 5.970 * [backup-simplify]: Simplify (sqrt 1) into 1 5.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.972 * [backup-simplify]: Simplify (+ 0 0) into 0 5.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.973 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.973 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.973 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.973 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.973 * [taylor]: Taking taylor expansion of im in re 5.973 * [backup-simplify]: Simplify im into im 5.973 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.973 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.973 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.973 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.973 * [taylor]: Taking taylor expansion of re in re 5.973 * [backup-simplify]: Simplify 0 into 0 5.973 * [backup-simplify]: Simplify 1 into 1 5.973 * [backup-simplify]: Simplify (* 1 1) into 1 5.974 * [backup-simplify]: Simplify (/ 1 1) into 1 5.974 * [backup-simplify]: Simplify (+ 0 1) into 1 5.975 * [backup-simplify]: Simplify (sqrt 1) into 1 5.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.976 * [backup-simplify]: Simplify (+ 0 0) into 0 5.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.977 * [taylor]: Taking taylor expansion of 1 in im 5.977 * [backup-simplify]: Simplify 1 into 1 5.977 * [taylor]: Taking taylor expansion of 0 in im 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify 1 into 1 5.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.980 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.981 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.981 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.981 * [taylor]: Taking taylor expansion of 1/2 in im 5.981 * [backup-simplify]: Simplify 1/2 into 1/2 5.981 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.981 * [taylor]: Taking taylor expansion of im in im 5.981 * [backup-simplify]: Simplify 0 into 0 5.981 * [backup-simplify]: Simplify 1 into 1 5.981 * [backup-simplify]: Simplify (* 1 1) into 1 5.982 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.983 * [backup-simplify]: Simplify 0 into 0 5.983 * [backup-simplify]: Simplify 0 into 0 5.983 * [backup-simplify]: Simplify 0 into 0 5.983 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.986 * [backup-simplify]: Simplify (+ 0 0) into 0 5.987 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.987 * [taylor]: Taking taylor expansion of 0 in im 5.987 * [backup-simplify]: Simplify 0 into 0 5.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.989 * [backup-simplify]: Simplify 0 into 0 5.989 * [backup-simplify]: Simplify 0 into 0 5.989 * [backup-simplify]: Simplify 0 into 0 5.989 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.990 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.990 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.990 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.990 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.990 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.990 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.990 * [taylor]: Taking taylor expansion of im in im 5.990 * [backup-simplify]: Simplify 0 into 0 5.990 * [backup-simplify]: Simplify 1 into 1 5.990 * [backup-simplify]: Simplify (* 1 1) into 1 5.991 * [backup-simplify]: Simplify (/ 1 1) into 1 5.991 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.991 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.991 * [taylor]: Taking taylor expansion of re in im 5.991 * [backup-simplify]: Simplify re into re 5.991 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.991 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.991 * [backup-simplify]: Simplify (+ 1 0) into 1 5.992 * [backup-simplify]: Simplify (sqrt 1) into 1 5.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.993 * [backup-simplify]: Simplify (+ 0 0) into 0 5.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.994 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.994 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.994 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.994 * [taylor]: Taking taylor expansion of im in re 5.994 * [backup-simplify]: Simplify im into im 5.994 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.995 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.995 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.995 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.995 * [taylor]: Taking taylor expansion of re in re 5.995 * [backup-simplify]: Simplify 0 into 0 5.995 * [backup-simplify]: Simplify 1 into 1 5.995 * [backup-simplify]: Simplify (* 1 1) into 1 5.995 * [backup-simplify]: Simplify (/ 1 1) into 1 5.996 * [backup-simplify]: Simplify (+ 0 1) into 1 5.996 * [backup-simplify]: Simplify (sqrt 1) into 1 5.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.998 * [backup-simplify]: Simplify (+ 0 0) into 0 5.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.998 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.999 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.999 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.999 * [taylor]: Taking taylor expansion of im in re 5.999 * [backup-simplify]: Simplify im into im 5.999 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.999 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.999 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.999 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.999 * [taylor]: Taking taylor expansion of re in re 5.999 * [backup-simplify]: Simplify 0 into 0 5.999 * [backup-simplify]: Simplify 1 into 1 5.999 * [backup-simplify]: Simplify (* 1 1) into 1 6.000 * [backup-simplify]: Simplify (/ 1 1) into 1 6.000 * [backup-simplify]: Simplify (+ 0 1) into 1 6.000 * [backup-simplify]: Simplify (sqrt 1) into 1 6.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.006 * [backup-simplify]: Simplify (+ 0 0) into 0 6.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.007 * [taylor]: Taking taylor expansion of 1 in im 6.007 * [backup-simplify]: Simplify 1 into 1 6.007 * [taylor]: Taking taylor expansion of 0 in im 6.007 * [backup-simplify]: Simplify 0 into 0 6.007 * [backup-simplify]: Simplify 1 into 1 6.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.009 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.010 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.010 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.010 * [taylor]: Taking taylor expansion of 1/2 in im 6.010 * [backup-simplify]: Simplify 1/2 into 1/2 6.010 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.010 * [taylor]: Taking taylor expansion of im in im 6.011 * [backup-simplify]: Simplify 0 into 0 6.011 * [backup-simplify]: Simplify 1 into 1 6.011 * [backup-simplify]: Simplify (* 1 1) into 1 6.011 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.013 * [backup-simplify]: Simplify 0 into 0 6.013 * [backup-simplify]: Simplify 0 into 0 6.013 * [backup-simplify]: Simplify 0 into 0 6.013 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.015 * [backup-simplify]: Simplify (+ 0 0) into 0 6.016 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.016 * [taylor]: Taking taylor expansion of 0 in im 6.016 * [backup-simplify]: Simplify 0 into 0 6.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.018 * [backup-simplify]: Simplify 0 into 0 6.018 * [backup-simplify]: Simplify 0 into 0 6.018 * [backup-simplify]: Simplify 0 into 0 6.018 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.018 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 6.019 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 6.019 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 6.019 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 6.019 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.019 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.019 * [taylor]: Taking taylor expansion of re in im 6.019 * [backup-simplify]: Simplify re into re 6.019 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.019 * [taylor]: Taking taylor expansion of im in im 6.019 * [backup-simplify]: Simplify 0 into 0 6.019 * [backup-simplify]: Simplify 1 into 1 6.019 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.019 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.019 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.019 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.020 * [backup-simplify]: Simplify (+ 0 0) into 0 6.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.020 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.020 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.020 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.020 * [taylor]: Taking taylor expansion of re in re 6.020 * [backup-simplify]: Simplify 0 into 0 6.020 * [backup-simplify]: Simplify 1 into 1 6.020 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.020 * [taylor]: Taking taylor expansion of im in re 6.020 * [backup-simplify]: Simplify im into im 6.020 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.020 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.021 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.021 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.021 * [backup-simplify]: Simplify (+ 0 0) into 0 6.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.021 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.021 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.021 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.021 * [taylor]: Taking taylor expansion of re in re 6.021 * [backup-simplify]: Simplify 0 into 0 6.021 * [backup-simplify]: Simplify 1 into 1 6.021 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.021 * [taylor]: Taking taylor expansion of im in re 6.021 * [backup-simplify]: Simplify im into im 6.022 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.022 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.022 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.022 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.022 * [backup-simplify]: Simplify (+ 0 0) into 0 6.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.023 * [taylor]: Taking taylor expansion of im in im 6.023 * [backup-simplify]: Simplify 0 into 0 6.023 * [backup-simplify]: Simplify 1 into 1 6.023 * [backup-simplify]: Simplify 0 into 0 6.023 * [taylor]: Taking taylor expansion of 0 in im 6.023 * [backup-simplify]: Simplify 0 into 0 6.023 * [backup-simplify]: Simplify 0 into 0 6.023 * [backup-simplify]: Simplify 1 into 1 6.023 * [backup-simplify]: Simplify (* 1 1) into 1 6.024 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.024 * [backup-simplify]: Simplify (+ 1 0) into 1 6.025 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.025 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.025 * [taylor]: Taking taylor expansion of 1/2 in im 6.025 * [backup-simplify]: Simplify 1/2 into 1/2 6.025 * [taylor]: Taking taylor expansion of im in im 6.025 * [backup-simplify]: Simplify 0 into 0 6.025 * [backup-simplify]: Simplify 1 into 1 6.025 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.026 * [backup-simplify]: Simplify 0 into 0 6.026 * [backup-simplify]: Simplify 0 into 0 6.026 * [backup-simplify]: Simplify 0 into 0 6.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.028 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.028 * [backup-simplify]: Simplify (+ 0 0) into 0 6.028 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.028 * [taylor]: Taking taylor expansion of 0 in im 6.028 * [backup-simplify]: Simplify 0 into 0 6.028 * [backup-simplify]: Simplify 0 into 0 6.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.029 * [backup-simplify]: Simplify 0 into 0 6.029 * [backup-simplify]: Simplify 0 into 0 6.029 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.030 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 6.030 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 6.030 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.030 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.030 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.030 * [taylor]: Taking taylor expansion of im in im 6.030 * [backup-simplify]: Simplify 0 into 0 6.030 * [backup-simplify]: Simplify 1 into 1 6.030 * [backup-simplify]: Simplify (* 1 1) into 1 6.031 * [backup-simplify]: Simplify (/ 1 1) into 1 6.031 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.031 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.031 * [taylor]: Taking taylor expansion of re in im 6.031 * [backup-simplify]: Simplify re into re 6.031 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.031 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.032 * [backup-simplify]: Simplify (+ 1 0) into 1 6.032 * [backup-simplify]: Simplify (sqrt 1) into 1 6.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.034 * [backup-simplify]: Simplify (+ 0 0) into 0 6.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.034 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.034 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.034 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.034 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.035 * [taylor]: Taking taylor expansion of im in re 6.035 * [backup-simplify]: Simplify im into im 6.035 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.035 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.035 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.035 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.035 * [taylor]: Taking taylor expansion of re in re 6.035 * [backup-simplify]: Simplify 0 into 0 6.035 * [backup-simplify]: Simplify 1 into 1 6.035 * [backup-simplify]: Simplify (* 1 1) into 1 6.036 * [backup-simplify]: Simplify (/ 1 1) into 1 6.036 * [backup-simplify]: Simplify (+ 0 1) into 1 6.037 * [backup-simplify]: Simplify (sqrt 1) into 1 6.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.038 * [backup-simplify]: Simplify (+ 0 0) into 0 6.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.039 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.039 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.039 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.039 * [taylor]: Taking taylor expansion of im in re 6.039 * [backup-simplify]: Simplify im into im 6.039 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.040 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.040 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.040 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.040 * [taylor]: Taking taylor expansion of re in re 6.040 * [backup-simplify]: Simplify 0 into 0 6.040 * [backup-simplify]: Simplify 1 into 1 6.040 * [backup-simplify]: Simplify (* 1 1) into 1 6.040 * [backup-simplify]: Simplify (/ 1 1) into 1 6.041 * [backup-simplify]: Simplify (+ 0 1) into 1 6.041 * [backup-simplify]: Simplify (sqrt 1) into 1 6.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.042 * [backup-simplify]: Simplify (+ 0 0) into 0 6.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.042 * [taylor]: Taking taylor expansion of 1 in im 6.043 * [backup-simplify]: Simplify 1 into 1 6.043 * [taylor]: Taking taylor expansion of 0 in im 6.043 * [backup-simplify]: Simplify 0 into 0 6.043 * [backup-simplify]: Simplify 1 into 1 6.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.044 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.045 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.045 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.045 * [taylor]: Taking taylor expansion of 1/2 in im 6.045 * [backup-simplify]: Simplify 1/2 into 1/2 6.045 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.045 * [taylor]: Taking taylor expansion of im in im 6.045 * [backup-simplify]: Simplify 0 into 0 6.045 * [backup-simplify]: Simplify 1 into 1 6.045 * [backup-simplify]: Simplify (* 1 1) into 1 6.045 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.047 * [backup-simplify]: Simplify 0 into 0 6.047 * [backup-simplify]: Simplify 0 into 0 6.047 * [backup-simplify]: Simplify 0 into 0 6.047 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.048 * [backup-simplify]: Simplify (+ 0 0) into 0 6.049 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.049 * [taylor]: Taking taylor expansion of 0 in im 6.049 * [backup-simplify]: Simplify 0 into 0 6.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.050 * [backup-simplify]: Simplify 0 into 0 6.050 * [backup-simplify]: Simplify 0 into 0 6.050 * [backup-simplify]: Simplify 0 into 0 6.051 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.051 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 6.051 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 6.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.051 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.051 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.051 * [taylor]: Taking taylor expansion of im in im 6.051 * [backup-simplify]: Simplify 0 into 0 6.051 * [backup-simplify]: Simplify 1 into 1 6.051 * [backup-simplify]: Simplify (* 1 1) into 1 6.051 * [backup-simplify]: Simplify (/ 1 1) into 1 6.051 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.052 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.052 * [taylor]: Taking taylor expansion of re in im 6.052 * [backup-simplify]: Simplify re into re 6.052 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.052 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.052 * [backup-simplify]: Simplify (+ 1 0) into 1 6.052 * [backup-simplify]: Simplify (sqrt 1) into 1 6.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.053 * [backup-simplify]: Simplify (+ 0 0) into 0 6.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.054 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.054 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.054 * [taylor]: Taking taylor expansion of im in re 6.054 * [backup-simplify]: Simplify im into im 6.054 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.054 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.054 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.054 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.054 * [taylor]: Taking taylor expansion of re in re 6.054 * [backup-simplify]: Simplify 0 into 0 6.054 * [backup-simplify]: Simplify 1 into 1 6.054 * [backup-simplify]: Simplify (* 1 1) into 1 6.055 * [backup-simplify]: Simplify (/ 1 1) into 1 6.055 * [backup-simplify]: Simplify (+ 0 1) into 1 6.055 * [backup-simplify]: Simplify (sqrt 1) into 1 6.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.056 * [backup-simplify]: Simplify (+ 0 0) into 0 6.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.057 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.057 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.057 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.057 * [taylor]: Taking taylor expansion of im in re 6.057 * [backup-simplify]: Simplify im into im 6.057 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.057 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.057 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.057 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.057 * [taylor]: Taking taylor expansion of re in re 6.057 * [backup-simplify]: Simplify 0 into 0 6.057 * [backup-simplify]: Simplify 1 into 1 6.057 * [backup-simplify]: Simplify (* 1 1) into 1 6.057 * [backup-simplify]: Simplify (/ 1 1) into 1 6.058 * [backup-simplify]: Simplify (+ 0 1) into 1 6.058 * [backup-simplify]: Simplify (sqrt 1) into 1 6.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.059 * [backup-simplify]: Simplify (+ 0 0) into 0 6.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.059 * [taylor]: Taking taylor expansion of 1 in im 6.059 * [backup-simplify]: Simplify 1 into 1 6.059 * [taylor]: Taking taylor expansion of 0 in im 6.060 * [backup-simplify]: Simplify 0 into 0 6.060 * [backup-simplify]: Simplify 1 into 1 6.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.061 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.062 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.062 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.062 * [taylor]: Taking taylor expansion of 1/2 in im 6.062 * [backup-simplify]: Simplify 1/2 into 1/2 6.062 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.062 * [taylor]: Taking taylor expansion of im in im 6.062 * [backup-simplify]: Simplify 0 into 0 6.062 * [backup-simplify]: Simplify 1 into 1 6.062 * [backup-simplify]: Simplify (* 1 1) into 1 6.062 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.063 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.065 * [backup-simplify]: Simplify (+ 0 0) into 0 6.065 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.065 * [taylor]: Taking taylor expansion of 0 in im 6.065 * [backup-simplify]: Simplify 0 into 0 6.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.066 * [backup-simplify]: Simplify 0 into 0 6.066 * [backup-simplify]: Simplify 0 into 0 6.066 * [backup-simplify]: Simplify 0 into 0 6.066 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.066 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 6.067 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 6.067 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 6.067 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 6.067 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.067 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.067 * [taylor]: Taking taylor expansion of re in im 6.067 * [backup-simplify]: Simplify re into re 6.067 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.067 * [taylor]: Taking taylor expansion of im in im 6.067 * [backup-simplify]: Simplify 0 into 0 6.067 * [backup-simplify]: Simplify 1 into 1 6.067 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.067 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.067 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.067 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.067 * [backup-simplify]: Simplify (+ 0 0) into 0 6.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.068 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.068 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.068 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.068 * [taylor]: Taking taylor expansion of re in re 6.068 * [backup-simplify]: Simplify 0 into 0 6.068 * [backup-simplify]: Simplify 1 into 1 6.068 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.068 * [taylor]: Taking taylor expansion of im in re 6.068 * [backup-simplify]: Simplify im into im 6.068 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.068 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.068 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.068 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.068 * [backup-simplify]: Simplify (+ 0 0) into 0 6.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.069 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.069 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.069 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.069 * [taylor]: Taking taylor expansion of re in re 6.069 * [backup-simplify]: Simplify 0 into 0 6.069 * [backup-simplify]: Simplify 1 into 1 6.069 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.069 * [taylor]: Taking taylor expansion of im in re 6.069 * [backup-simplify]: Simplify im into im 6.069 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.069 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.069 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.069 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.069 * [backup-simplify]: Simplify (+ 0 0) into 0 6.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.069 * [taylor]: Taking taylor expansion of im in im 6.069 * [backup-simplify]: Simplify 0 into 0 6.069 * [backup-simplify]: Simplify 1 into 1 6.069 * [backup-simplify]: Simplify 0 into 0 6.069 * [taylor]: Taking taylor expansion of 0 in im 6.069 * [backup-simplify]: Simplify 0 into 0 6.069 * [backup-simplify]: Simplify 0 into 0 6.069 * [backup-simplify]: Simplify 1 into 1 6.070 * [backup-simplify]: Simplify (* 1 1) into 1 6.070 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.070 * [backup-simplify]: Simplify (+ 1 0) into 1 6.071 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.071 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.071 * [taylor]: Taking taylor expansion of 1/2 in im 6.071 * [backup-simplify]: Simplify 1/2 into 1/2 6.071 * [taylor]: Taking taylor expansion of im in im 6.071 * [backup-simplify]: Simplify 0 into 0 6.071 * [backup-simplify]: Simplify 1 into 1 6.071 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.072 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.073 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.073 * [backup-simplify]: Simplify (+ 0 0) into 0 6.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.073 * [taylor]: Taking taylor expansion of 0 in im 6.073 * [backup-simplify]: Simplify 0 into 0 6.073 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.074 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.074 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 6.074 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 6.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.074 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.074 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.074 * [taylor]: Taking taylor expansion of im in im 6.074 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify 1 into 1 6.074 * [backup-simplify]: Simplify (* 1 1) into 1 6.075 * [backup-simplify]: Simplify (/ 1 1) into 1 6.075 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.075 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.075 * [taylor]: Taking taylor expansion of re in im 6.075 * [backup-simplify]: Simplify re into re 6.075 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.075 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.075 * [backup-simplify]: Simplify (+ 1 0) into 1 6.075 * [backup-simplify]: Simplify (sqrt 1) into 1 6.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.076 * [backup-simplify]: Simplify (+ 0 0) into 0 6.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.077 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.077 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.077 * [taylor]: Taking taylor expansion of im in re 6.077 * [backup-simplify]: Simplify im into im 6.077 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.077 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.077 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.077 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.077 * [taylor]: Taking taylor expansion of re in re 6.077 * [backup-simplify]: Simplify 0 into 0 6.077 * [backup-simplify]: Simplify 1 into 1 6.077 * [backup-simplify]: Simplify (* 1 1) into 1 6.078 * [backup-simplify]: Simplify (/ 1 1) into 1 6.078 * [backup-simplify]: Simplify (+ 0 1) into 1 6.078 * [backup-simplify]: Simplify (sqrt 1) into 1 6.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.079 * [backup-simplify]: Simplify (+ 0 0) into 0 6.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.080 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.080 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.080 * [taylor]: Taking taylor expansion of im in re 6.080 * [backup-simplify]: Simplify im into im 6.080 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.080 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.080 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.080 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.080 * [taylor]: Taking taylor expansion of re in re 6.080 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify 1 into 1 6.080 * [backup-simplify]: Simplify (* 1 1) into 1 6.081 * [backup-simplify]: Simplify (/ 1 1) into 1 6.081 * [backup-simplify]: Simplify (+ 0 1) into 1 6.081 * [backup-simplify]: Simplify (sqrt 1) into 1 6.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.082 * [backup-simplify]: Simplify (+ 0 0) into 0 6.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.083 * [taylor]: Taking taylor expansion of 1 in im 6.083 * [backup-simplify]: Simplify 1 into 1 6.083 * [taylor]: Taking taylor expansion of 0 in im 6.083 * [backup-simplify]: Simplify 0 into 0 6.083 * [backup-simplify]: Simplify 1 into 1 6.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.084 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.085 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.085 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.085 * [taylor]: Taking taylor expansion of 1/2 in im 6.085 * [backup-simplify]: Simplify 1/2 into 1/2 6.085 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.085 * [taylor]: Taking taylor expansion of im in im 6.085 * [backup-simplify]: Simplify 0 into 0 6.085 * [backup-simplify]: Simplify 1 into 1 6.086 * [backup-simplify]: Simplify (* 1 1) into 1 6.086 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.088 * [backup-simplify]: Simplify 0 into 0 6.088 * [backup-simplify]: Simplify 0 into 0 6.088 * [backup-simplify]: Simplify 0 into 0 6.088 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.091 * [backup-simplify]: Simplify (+ 0 0) into 0 6.091 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.091 * [taylor]: Taking taylor expansion of 0 in im 6.091 * [backup-simplify]: Simplify 0 into 0 6.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.094 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 6.094 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 6.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.094 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.094 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.094 * [taylor]: Taking taylor expansion of im in im 6.094 * [backup-simplify]: Simplify 0 into 0 6.094 * [backup-simplify]: Simplify 1 into 1 6.095 * [backup-simplify]: Simplify (* 1 1) into 1 6.095 * [backup-simplify]: Simplify (/ 1 1) into 1 6.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.095 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.095 * [taylor]: Taking taylor expansion of re in im 6.095 * [backup-simplify]: Simplify re into re 6.095 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.095 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.096 * [backup-simplify]: Simplify (+ 1 0) into 1 6.096 * [backup-simplify]: Simplify (sqrt 1) into 1 6.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.098 * [backup-simplify]: Simplify (+ 0 0) into 0 6.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.099 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.099 * [taylor]: Taking taylor expansion of im in re 6.099 * [backup-simplify]: Simplify im into im 6.099 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.099 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.099 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.099 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.099 * [taylor]: Taking taylor expansion of re in re 6.099 * [backup-simplify]: Simplify 0 into 0 6.099 * [backup-simplify]: Simplify 1 into 1 6.100 * [backup-simplify]: Simplify (* 1 1) into 1 6.100 * [backup-simplify]: Simplify (/ 1 1) into 1 6.101 * [backup-simplify]: Simplify (+ 0 1) into 1 6.101 * [backup-simplify]: Simplify (sqrt 1) into 1 6.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.103 * [backup-simplify]: Simplify (+ 0 0) into 0 6.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.104 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.104 * [taylor]: Taking taylor expansion of im in re 6.104 * [backup-simplify]: Simplify im into im 6.104 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.104 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.104 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.104 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.104 * [taylor]: Taking taylor expansion of re in re 6.104 * [backup-simplify]: Simplify 0 into 0 6.104 * [backup-simplify]: Simplify 1 into 1 6.105 * [backup-simplify]: Simplify (* 1 1) into 1 6.105 * [backup-simplify]: Simplify (/ 1 1) into 1 6.105 * [backup-simplify]: Simplify (+ 0 1) into 1 6.106 * [backup-simplify]: Simplify (sqrt 1) into 1 6.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.108 * [backup-simplify]: Simplify (+ 0 0) into 0 6.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.109 * [taylor]: Taking taylor expansion of 1 in im 6.109 * [backup-simplify]: Simplify 1 into 1 6.109 * [taylor]: Taking taylor expansion of 0 in im 6.109 * [backup-simplify]: Simplify 0 into 0 6.109 * [backup-simplify]: Simplify 1 into 1 6.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.111 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.112 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.112 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.112 * [taylor]: Taking taylor expansion of 1/2 in im 6.112 * [backup-simplify]: Simplify 1/2 into 1/2 6.112 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.112 * [taylor]: Taking taylor expansion of im in im 6.112 * [backup-simplify]: Simplify 0 into 0 6.112 * [backup-simplify]: Simplify 1 into 1 6.113 * [backup-simplify]: Simplify (* 1 1) into 1 6.113 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.115 * [backup-simplify]: Simplify 0 into 0 6.115 * [backup-simplify]: Simplify 0 into 0 6.115 * [backup-simplify]: Simplify 0 into 0 6.115 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.117 * [backup-simplify]: Simplify (+ 0 0) into 0 6.118 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.118 * [taylor]: Taking taylor expansion of 0 in im 6.118 * [backup-simplify]: Simplify 0 into 0 6.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.120 * [backup-simplify]: Simplify 0 into 0 6.121 * [backup-simplify]: Simplify 0 into 0 6.121 * [backup-simplify]: Simplify 0 into 0 6.121 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.121 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 6.121 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 6.121 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 6.121 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 6.121 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.121 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.121 * [taylor]: Taking taylor expansion of re in im 6.121 * [backup-simplify]: Simplify re into re 6.121 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.121 * [taylor]: Taking taylor expansion of im in im 6.121 * [backup-simplify]: Simplify 0 into 0 6.121 * [backup-simplify]: Simplify 1 into 1 6.121 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.122 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.122 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.122 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.122 * [backup-simplify]: Simplify (+ 0 0) into 0 6.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.122 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.123 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.123 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.123 * [taylor]: Taking taylor expansion of re in re 6.123 * [backup-simplify]: Simplify 0 into 0 6.123 * [backup-simplify]: Simplify 1 into 1 6.123 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.123 * [taylor]: Taking taylor expansion of im in re 6.123 * [backup-simplify]: Simplify im into im 6.123 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.123 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.123 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.123 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.124 * [backup-simplify]: Simplify (+ 0 0) into 0 6.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.124 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.124 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.124 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.124 * [taylor]: Taking taylor expansion of re in re 6.124 * [backup-simplify]: Simplify 0 into 0 6.124 * [backup-simplify]: Simplify 1 into 1 6.124 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.124 * [taylor]: Taking taylor expansion of im in re 6.124 * [backup-simplify]: Simplify im into im 6.124 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.124 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.124 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.124 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.125 * [backup-simplify]: Simplify (+ 0 0) into 0 6.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.125 * [taylor]: Taking taylor expansion of im in im 6.125 * [backup-simplify]: Simplify 0 into 0 6.125 * [backup-simplify]: Simplify 1 into 1 6.125 * [backup-simplify]: Simplify 0 into 0 6.125 * [taylor]: Taking taylor expansion of 0 in im 6.125 * [backup-simplify]: Simplify 0 into 0 6.125 * [backup-simplify]: Simplify 0 into 0 6.125 * [backup-simplify]: Simplify 1 into 1 6.126 * [backup-simplify]: Simplify (* 1 1) into 1 6.126 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.127 * [backup-simplify]: Simplify (+ 1 0) into 1 6.127 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.127 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.128 * [taylor]: Taking taylor expansion of 1/2 in im 6.128 * [backup-simplify]: Simplify 1/2 into 1/2 6.128 * [taylor]: Taking taylor expansion of im in im 6.128 * [backup-simplify]: Simplify 0 into 0 6.128 * [backup-simplify]: Simplify 1 into 1 6.128 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.129 * [backup-simplify]: Simplify 0 into 0 6.129 * [backup-simplify]: Simplify 0 into 0 6.129 * [backup-simplify]: Simplify 0 into 0 6.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.134 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.135 * [backup-simplify]: Simplify (+ 0 0) into 0 6.135 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.135 * [taylor]: Taking taylor expansion of 0 in im 6.135 * [backup-simplify]: Simplify 0 into 0 6.135 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.136 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.137 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 6.137 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 6.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.137 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.137 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.137 * [taylor]: Taking taylor expansion of im in im 6.137 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify 1 into 1 6.137 * [backup-simplify]: Simplify (* 1 1) into 1 6.138 * [backup-simplify]: Simplify (/ 1 1) into 1 6.138 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.138 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.138 * [taylor]: Taking taylor expansion of re in im 6.138 * [backup-simplify]: Simplify re into re 6.138 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.138 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.139 * [backup-simplify]: Simplify (+ 1 0) into 1 6.139 * [backup-simplify]: Simplify (sqrt 1) into 1 6.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.141 * [backup-simplify]: Simplify (+ 0 0) into 0 6.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.141 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.141 * [taylor]: Taking taylor expansion of im in re 6.141 * [backup-simplify]: Simplify im into im 6.141 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.141 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.141 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.141 * [taylor]: Taking taylor expansion of re in re 6.141 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify 1 into 1 6.142 * [backup-simplify]: Simplify (* 1 1) into 1 6.142 * [backup-simplify]: Simplify (/ 1 1) into 1 6.142 * [backup-simplify]: Simplify (+ 0 1) into 1 6.142 * [backup-simplify]: Simplify (sqrt 1) into 1 6.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.143 * [backup-simplify]: Simplify (+ 0 0) into 0 6.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.144 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.144 * [taylor]: Taking taylor expansion of im in re 6.144 * [backup-simplify]: Simplify im into im 6.144 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.144 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.144 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.144 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.144 * [taylor]: Taking taylor expansion of re in re 6.144 * [backup-simplify]: Simplify 0 into 0 6.144 * [backup-simplify]: Simplify 1 into 1 6.145 * [backup-simplify]: Simplify (* 1 1) into 1 6.145 * [backup-simplify]: Simplify (/ 1 1) into 1 6.145 * [backup-simplify]: Simplify (+ 0 1) into 1 6.145 * [backup-simplify]: Simplify (sqrt 1) into 1 6.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.146 * [backup-simplify]: Simplify (+ 0 0) into 0 6.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.147 * [taylor]: Taking taylor expansion of 1 in im 6.147 * [backup-simplify]: Simplify 1 into 1 6.147 * [taylor]: Taking taylor expansion of 0 in im 6.147 * [backup-simplify]: Simplify 0 into 0 6.147 * [backup-simplify]: Simplify 1 into 1 6.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.148 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.149 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.149 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.149 * [taylor]: Taking taylor expansion of 1/2 in im 6.149 * [backup-simplify]: Simplify 1/2 into 1/2 6.149 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.149 * [taylor]: Taking taylor expansion of im in im 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify 1 into 1 6.150 * [backup-simplify]: Simplify (* 1 1) into 1 6.150 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.151 * [backup-simplify]: Simplify 0 into 0 6.151 * [backup-simplify]: Simplify 0 into 0 6.151 * [backup-simplify]: Simplify 0 into 0 6.151 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.152 * [backup-simplify]: Simplify (+ 0 0) into 0 6.153 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.153 * [taylor]: Taking taylor expansion of 0 in im 6.153 * [backup-simplify]: Simplify 0 into 0 6.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.154 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify 0 into 0 6.154 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.154 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 6.154 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 6.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.155 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.155 * [taylor]: Taking taylor expansion of im in im 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify 1 into 1 6.155 * [backup-simplify]: Simplify (* 1 1) into 1 6.155 * [backup-simplify]: Simplify (/ 1 1) into 1 6.155 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.155 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.155 * [taylor]: Taking taylor expansion of re in im 6.155 * [backup-simplify]: Simplify re into re 6.155 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.155 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.156 * [backup-simplify]: Simplify (+ 1 0) into 1 6.156 * [backup-simplify]: Simplify (sqrt 1) into 1 6.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.157 * [backup-simplify]: Simplify (+ 0 0) into 0 6.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.157 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.157 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.157 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.157 * [taylor]: Taking taylor expansion of im in re 6.157 * [backup-simplify]: Simplify im into im 6.158 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.158 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.158 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.158 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.158 * [taylor]: Taking taylor expansion of re in re 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify 1 into 1 6.158 * [backup-simplify]: Simplify (* 1 1) into 1 6.158 * [backup-simplify]: Simplify (/ 1 1) into 1 6.158 * [backup-simplify]: Simplify (+ 0 1) into 1 6.159 * [backup-simplify]: Simplify (sqrt 1) into 1 6.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.160 * [backup-simplify]: Simplify (+ 0 0) into 0 6.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.160 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.160 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.160 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.160 * [taylor]: Taking taylor expansion of im in re 6.160 * [backup-simplify]: Simplify im into im 6.160 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.160 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.161 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.161 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.161 * [taylor]: Taking taylor expansion of re in re 6.161 * [backup-simplify]: Simplify 0 into 0 6.161 * [backup-simplify]: Simplify 1 into 1 6.161 * [backup-simplify]: Simplify (* 1 1) into 1 6.161 * [backup-simplify]: Simplify (/ 1 1) into 1 6.161 * [backup-simplify]: Simplify (+ 0 1) into 1 6.162 * [backup-simplify]: Simplify (sqrt 1) into 1 6.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.163 * [backup-simplify]: Simplify (+ 0 0) into 0 6.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.163 * [taylor]: Taking taylor expansion of 1 in im 6.163 * [backup-simplify]: Simplify 1 into 1 6.163 * [taylor]: Taking taylor expansion of 0 in im 6.163 * [backup-simplify]: Simplify 0 into 0 6.163 * [backup-simplify]: Simplify 1 into 1 6.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.164 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.165 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.165 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.165 * [taylor]: Taking taylor expansion of 1/2 in im 6.165 * [backup-simplify]: Simplify 1/2 into 1/2 6.165 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.165 * [taylor]: Taking taylor expansion of im in im 6.165 * [backup-simplify]: Simplify 0 into 0 6.165 * [backup-simplify]: Simplify 1 into 1 6.166 * [backup-simplify]: Simplify (* 1 1) into 1 6.166 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.167 * [backup-simplify]: Simplify 0 into 0 6.167 * [backup-simplify]: Simplify 0 into 0 6.167 * [backup-simplify]: Simplify 0 into 0 6.167 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.169 * [backup-simplify]: Simplify (+ 0 0) into 0 6.169 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.169 * [taylor]: Taking taylor expansion of 0 in im 6.169 * [backup-simplify]: Simplify 0 into 0 6.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.170 * [backup-simplify]: Simplify 0 into 0 6.170 * [backup-simplify]: Simplify 0 into 0 6.171 * [backup-simplify]: Simplify 0 into 0 6.171 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.171 * * * [progress]: simplifying candidates 6.172 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 6.172 * * [simplify]: Extracting # 0 : cost 0 6.173 * * [simplify]: Extracting # 1 : cost 0 6.173 * * [simplify]: Extracting # 2 : cost 0 6.173 * * [simplify]: Extracting # 3 : cost 0 6.173 * * [simplify]: Extracting # 4 : cost 0 6.173 * * [simplify]: Extracting # 5 : cost 0 6.173 * * [simplify]: Extracting # 6 : cost 0 6.173 * * [simplify]: iteration 0 : 38 enodes (cost 852 ) 6.184 * * [simplify]: Extracting # 0 : cost 0 6.185 * * [simplify]: Extracting # 1 : cost 0 6.185 * * [simplify]: Extracting # 2 : cost 0 6.185 * * [simplify]: Extracting # 3 : cost 0 6.185 * * [simplify]: Extracting # 4 : cost 0 6.186 * * [simplify]: iteration 1 : 91 enodes (cost 744 ) 6.215 * * [simplify]: Extracting # 0 : cost 0 6.215 * * [simplify]: Extracting # 1 : cost 0 6.215 * * [simplify]: Extracting # 2 : cost 0 6.215 * * [simplify]: Extracting # 3 : cost 0 6.215 * * [simplify]: Extracting # 4 : cost 0 6.216 * * [simplify]: iteration 2 : 205 enodes (cost 680 ) 6.287 * * [simplify]: Extracting # 0 : cost 0 6.287 * * [simplify]: Extracting # 1 : cost 0 6.288 * * [simplify]: Extracting # 2 : cost 0 6.288 * * [simplify]: Extracting # 3 : cost 0 6.288 * * [simplify]: Extracting # 4 : cost 0 6.289 * * [simplify]: iteration 3 : 444 enodes (cost 656 ) 6.545 * * [simplify]: Extracting # 0 : cost 0 6.547 * * [simplify]: Extracting # 1 : cost 0 6.549 * * [simplify]: Extracting # 2 : cost 0 6.550 * * [simplify]: Extracting # 3 : cost 0 6.551 * * [simplify]: iteration 4 : 1114 enodes (cost 656 ) 7.602 * * [simplify]: Extracting # 0 : cost 0 7.606 * * [simplify]: Extracting # 1 : cost 0 7.609 * * [simplify]: Extracting # 2 : cost 0 7.612 * * [simplify]: Extracting # 3 : cost 0 7.614 * * [simplify]: Extracting # 4 : cost 0 7.622 * * [simplify]: iteration 5 : 3182 enodes (cost 656 ) 9.362 * * [simplify]: Extracting # 0 : cost 0 9.372 * * [simplify]: Extracting # 1 : cost 0 9.377 * * [simplify]: Extracting # 2 : cost 0 9.382 * * [simplify]: Extracting # 3 : cost 0 9.386 * * [simplify]: Extracting # 4 : cost 0 9.391 * * [simplify]: iteration done: 5001 enodes (cost 656 ) 9.391 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) im re (- re) im re (- re) im re (- re) im re (- re) 9.392 * * * [progress]: adding candidates to table 9.874 * * [progress]: iteration 4 / 4 9.874 * * * [progress]: picking best candidate 9.883 * * * * [pick]: Picked # 9.884 * * * [progress]: localizing error 9.910 * * * [progress]: generating rewritten candidates 9.910 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 9.928 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 9.951 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 9.967 * * * [progress]: generating series expansions 9.967 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 9.967 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 9.967 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 9.967 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 9.967 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 9.967 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.967 * [taylor]: Taking taylor expansion of re in im 9.967 * [backup-simplify]: Simplify re into re 9.967 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.967 * [taylor]: Taking taylor expansion of im in im 9.967 * [backup-simplify]: Simplify 0 into 0 9.968 * [backup-simplify]: Simplify 1 into 1 9.968 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.968 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 9.968 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.968 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.968 * [backup-simplify]: Simplify (+ 0 0) into 0 9.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.969 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 9.969 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 9.969 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.969 * [taylor]: Taking taylor expansion of re in re 9.969 * [backup-simplify]: Simplify 0 into 0 9.969 * [backup-simplify]: Simplify 1 into 1 9.969 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.969 * [taylor]: Taking taylor expansion of im in re 9.969 * [backup-simplify]: Simplify im into im 9.969 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.969 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.969 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.969 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.969 * [backup-simplify]: Simplify (+ 0 0) into 0 9.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.969 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 9.969 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 9.969 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.969 * [taylor]: Taking taylor expansion of re in re 9.969 * [backup-simplify]: Simplify 0 into 0 9.969 * [backup-simplify]: Simplify 1 into 1 9.969 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.969 * [taylor]: Taking taylor expansion of im in re 9.969 * [backup-simplify]: Simplify im into im 9.970 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.970 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.970 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.970 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.970 * [backup-simplify]: Simplify (+ 0 0) into 0 9.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.970 * [taylor]: Taking taylor expansion of im in im 9.970 * [backup-simplify]: Simplify 0 into 0 9.970 * [backup-simplify]: Simplify 1 into 1 9.970 * [backup-simplify]: Simplify 0 into 0 9.970 * [taylor]: Taking taylor expansion of 0 in im 9.970 * [backup-simplify]: Simplify 0 into 0 9.970 * [backup-simplify]: Simplify 0 into 0 9.970 * [backup-simplify]: Simplify 1 into 1 9.971 * [backup-simplify]: Simplify (* 1 1) into 1 9.971 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.971 * [backup-simplify]: Simplify (+ 1 0) into 1 9.972 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 9.972 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 9.972 * [taylor]: Taking taylor expansion of 1/2 in im 9.972 * [backup-simplify]: Simplify 1/2 into 1/2 9.972 * [taylor]: Taking taylor expansion of im in im 9.972 * [backup-simplify]: Simplify 0 into 0 9.972 * [backup-simplify]: Simplify 1 into 1 9.972 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.973 * [backup-simplify]: Simplify 0 into 0 9.973 * [backup-simplify]: Simplify 0 into 0 9.973 * [backup-simplify]: Simplify 0 into 0 9.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.974 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 9.974 * [backup-simplify]: Simplify (+ 0 0) into 0 9.974 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 9.974 * [taylor]: Taking taylor expansion of 0 in im 9.974 * [backup-simplify]: Simplify 0 into 0 9.974 * [backup-simplify]: Simplify 0 into 0 9.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.975 * [backup-simplify]: Simplify 0 into 0 9.975 * [backup-simplify]: Simplify 0 into 0 9.975 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 9.975 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 9.975 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 9.975 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 9.975 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 9.975 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.975 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.975 * [taylor]: Taking taylor expansion of im in im 9.975 * [backup-simplify]: Simplify 0 into 0 9.975 * [backup-simplify]: Simplify 1 into 1 9.975 * [backup-simplify]: Simplify (* 1 1) into 1 9.976 * [backup-simplify]: Simplify (/ 1 1) into 1 9.976 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.976 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.976 * [taylor]: Taking taylor expansion of re in im 9.976 * [backup-simplify]: Simplify re into re 9.976 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.976 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.976 * [backup-simplify]: Simplify (+ 1 0) into 1 9.976 * [backup-simplify]: Simplify (sqrt 1) into 1 9.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.977 * [backup-simplify]: Simplify (+ 0 0) into 0 9.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.978 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.978 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.978 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.978 * [taylor]: Taking taylor expansion of im in re 9.978 * [backup-simplify]: Simplify im into im 9.978 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.978 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.978 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.978 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.978 * [taylor]: Taking taylor expansion of re in re 9.978 * [backup-simplify]: Simplify 0 into 0 9.978 * [backup-simplify]: Simplify 1 into 1 9.978 * [backup-simplify]: Simplify (* 1 1) into 1 9.979 * [backup-simplify]: Simplify (/ 1 1) into 1 9.979 * [backup-simplify]: Simplify (+ 0 1) into 1 9.979 * [backup-simplify]: Simplify (sqrt 1) into 1 9.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.980 * [backup-simplify]: Simplify (+ 0 0) into 0 9.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.981 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.981 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.981 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.981 * [taylor]: Taking taylor expansion of im in re 9.981 * [backup-simplify]: Simplify im into im 9.981 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.981 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.981 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.981 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.981 * [taylor]: Taking taylor expansion of re in re 9.981 * [backup-simplify]: Simplify 0 into 0 9.981 * [backup-simplify]: Simplify 1 into 1 9.981 * [backup-simplify]: Simplify (* 1 1) into 1 9.982 * [backup-simplify]: Simplify (/ 1 1) into 1 9.982 * [backup-simplify]: Simplify (+ 0 1) into 1 9.982 * [backup-simplify]: Simplify (sqrt 1) into 1 9.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.983 * [backup-simplify]: Simplify (+ 0 0) into 0 9.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.984 * [taylor]: Taking taylor expansion of 1 in im 9.984 * [backup-simplify]: Simplify 1 into 1 9.984 * [taylor]: Taking taylor expansion of 0 in im 9.984 * [backup-simplify]: Simplify 0 into 0 9.984 * [backup-simplify]: Simplify 1 into 1 9.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.985 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 9.986 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.986 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.986 * [taylor]: Taking taylor expansion of 1/2 in im 9.986 * [backup-simplify]: Simplify 1/2 into 1/2 9.986 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.986 * [taylor]: Taking taylor expansion of im in im 9.986 * [backup-simplify]: Simplify 0 into 0 9.986 * [backup-simplify]: Simplify 1 into 1 9.986 * [backup-simplify]: Simplify (* 1 1) into 1 9.986 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.987 * [backup-simplify]: Simplify 0 into 0 9.987 * [backup-simplify]: Simplify 0 into 0 9.987 * [backup-simplify]: Simplify 0 into 0 9.987 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.989 * [backup-simplify]: Simplify (+ 0 0) into 0 9.989 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.989 * [taylor]: Taking taylor expansion of 0 in im 9.989 * [backup-simplify]: Simplify 0 into 0 9.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.990 * [backup-simplify]: Simplify 0 into 0 9.990 * [backup-simplify]: Simplify 0 into 0 9.990 * [backup-simplify]: Simplify 0 into 0 9.991 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 9.991 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 9.991 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 9.991 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 9.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 9.991 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.991 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.991 * [taylor]: Taking taylor expansion of im in im 9.991 * [backup-simplify]: Simplify 0 into 0 9.991 * [backup-simplify]: Simplify 1 into 1 9.991 * [backup-simplify]: Simplify (* 1 1) into 1 9.991 * [backup-simplify]: Simplify (/ 1 1) into 1 9.991 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.991 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.991 * [taylor]: Taking taylor expansion of re in im 9.992 * [backup-simplify]: Simplify re into re 9.992 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.992 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.992 * [backup-simplify]: Simplify (+ 1 0) into 1 9.992 * [backup-simplify]: Simplify (sqrt 1) into 1 9.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.993 * [backup-simplify]: Simplify (+ 0 0) into 0 9.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.994 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.994 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.994 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.994 * [taylor]: Taking taylor expansion of im in re 9.994 * [backup-simplify]: Simplify im into im 9.994 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.994 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.994 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.994 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.994 * [taylor]: Taking taylor expansion of re in re 9.994 * [backup-simplify]: Simplify 0 into 0 9.994 * [backup-simplify]: Simplify 1 into 1 9.994 * [backup-simplify]: Simplify (* 1 1) into 1 9.995 * [backup-simplify]: Simplify (/ 1 1) into 1 9.995 * [backup-simplify]: Simplify (+ 0 1) into 1 9.995 * [backup-simplify]: Simplify (sqrt 1) into 1 9.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.996 * [backup-simplify]: Simplify (+ 0 0) into 0 9.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.997 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.997 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.997 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.997 * [taylor]: Taking taylor expansion of im in re 9.997 * [backup-simplify]: Simplify im into im 9.997 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.997 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.997 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.997 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.997 * [taylor]: Taking taylor expansion of re in re 9.997 * [backup-simplify]: Simplify 0 into 0 9.997 * [backup-simplify]: Simplify 1 into 1 9.997 * [backup-simplify]: Simplify (* 1 1) into 1 9.998 * [backup-simplify]: Simplify (/ 1 1) into 1 9.998 * [backup-simplify]: Simplify (+ 0 1) into 1 9.998 * [backup-simplify]: Simplify (sqrt 1) into 1 9.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.999 * [backup-simplify]: Simplify (+ 0 0) into 0 10.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.000 * [taylor]: Taking taylor expansion of 1 in im 10.000 * [backup-simplify]: Simplify 1 into 1 10.000 * [taylor]: Taking taylor expansion of 0 in im 10.000 * [backup-simplify]: Simplify 0 into 0 10.000 * [backup-simplify]: Simplify 1 into 1 10.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.001 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.002 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.002 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.002 * [taylor]: Taking taylor expansion of 1/2 in im 10.002 * [backup-simplify]: Simplify 1/2 into 1/2 10.002 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.002 * [taylor]: Taking taylor expansion of im in im 10.002 * [backup-simplify]: Simplify 0 into 0 10.002 * [backup-simplify]: Simplify 1 into 1 10.002 * [backup-simplify]: Simplify (* 1 1) into 1 10.003 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.004 * [backup-simplify]: Simplify 0 into 0 10.004 * [backup-simplify]: Simplify 0 into 0 10.004 * [backup-simplify]: Simplify 0 into 0 10.004 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.005 * [backup-simplify]: Simplify (+ 0 0) into 0 10.006 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.006 * [taylor]: Taking taylor expansion of 0 in im 10.006 * [backup-simplify]: Simplify 0 into 0 10.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.007 * [backup-simplify]: Simplify 0 into 0 10.007 * [backup-simplify]: Simplify 0 into 0 10.007 * [backup-simplify]: Simplify 0 into 0 10.007 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.007 * * * * [progress]: [ 2 / 3 ] generating series at (2) 10.007 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 10.007 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 10.008 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 10.008 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 10.008 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.008 * [taylor]: Taking taylor expansion of re in im 10.008 * [backup-simplify]: Simplify re into re 10.008 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.008 * [taylor]: Taking taylor expansion of im in im 10.008 * [backup-simplify]: Simplify 0 into 0 10.008 * [backup-simplify]: Simplify 1 into 1 10.008 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.008 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 10.008 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.008 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.008 * [backup-simplify]: Simplify (+ 0 0) into 0 10.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.008 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 10.008 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 10.008 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.008 * [taylor]: Taking taylor expansion of re in re 10.008 * [backup-simplify]: Simplify 0 into 0 10.008 * [backup-simplify]: Simplify 1 into 1 10.009 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.009 * [taylor]: Taking taylor expansion of im in re 10.009 * [backup-simplify]: Simplify im into im 10.009 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.009 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.009 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.009 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.009 * [backup-simplify]: Simplify (+ 0 0) into 0 10.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.009 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 10.009 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 10.009 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.009 * [taylor]: Taking taylor expansion of re in re 10.009 * [backup-simplify]: Simplify 0 into 0 10.009 * [backup-simplify]: Simplify 1 into 1 10.009 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.009 * [taylor]: Taking taylor expansion of im in re 10.009 * [backup-simplify]: Simplify im into im 10.009 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.010 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.010 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.010 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.010 * [backup-simplify]: Simplify (+ 0 0) into 0 10.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.010 * [taylor]: Taking taylor expansion of im in im 10.010 * [backup-simplify]: Simplify 0 into 0 10.010 * [backup-simplify]: Simplify 1 into 1 10.010 * [backup-simplify]: Simplify 0 into 0 10.010 * [taylor]: Taking taylor expansion of 0 in im 10.010 * [backup-simplify]: Simplify 0 into 0 10.010 * [backup-simplify]: Simplify 0 into 0 10.010 * [backup-simplify]: Simplify 1 into 1 10.011 * [backup-simplify]: Simplify (* 1 1) into 1 10.011 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.011 * [backup-simplify]: Simplify (+ 1 0) into 1 10.012 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.012 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 10.012 * [taylor]: Taking taylor expansion of 1/2 in im 10.012 * [backup-simplify]: Simplify 1/2 into 1/2 10.012 * [taylor]: Taking taylor expansion of im in im 10.012 * [backup-simplify]: Simplify 0 into 0 10.012 * [backup-simplify]: Simplify 1 into 1 10.013 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.013 * [backup-simplify]: Simplify 0 into 0 10.013 * [backup-simplify]: Simplify 0 into 0 10.013 * [backup-simplify]: Simplify 0 into 0 10.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.014 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.014 * [backup-simplify]: Simplify (+ 0 0) into 0 10.015 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.015 * [taylor]: Taking taylor expansion of 0 in im 10.015 * [backup-simplify]: Simplify 0 into 0 10.015 * [backup-simplify]: Simplify 0 into 0 10.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.015 * [backup-simplify]: Simplify 0 into 0 10.015 * [backup-simplify]: Simplify 0 into 0 10.015 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 10.016 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 10.016 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 10.016 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.016 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.016 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.016 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.016 * [taylor]: Taking taylor expansion of im in im 10.016 * [backup-simplify]: Simplify 0 into 0 10.016 * [backup-simplify]: Simplify 1 into 1 10.016 * [backup-simplify]: Simplify (* 1 1) into 1 10.016 * [backup-simplify]: Simplify (/ 1 1) into 1 10.016 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.016 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.016 * [taylor]: Taking taylor expansion of re in im 10.016 * [backup-simplify]: Simplify re into re 10.016 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.017 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.017 * [backup-simplify]: Simplify (+ 1 0) into 1 10.017 * [backup-simplify]: Simplify (sqrt 1) into 1 10.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.019 * [backup-simplify]: Simplify (+ 0 0) into 0 10.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.020 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.020 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.020 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.020 * [taylor]: Taking taylor expansion of im in re 10.020 * [backup-simplify]: Simplify im into im 10.020 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.020 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.020 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.020 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.020 * [taylor]: Taking taylor expansion of re in re 10.020 * [backup-simplify]: Simplify 0 into 0 10.020 * [backup-simplify]: Simplify 1 into 1 10.021 * [backup-simplify]: Simplify (* 1 1) into 1 10.021 * [backup-simplify]: Simplify (/ 1 1) into 1 10.021 * [backup-simplify]: Simplify (+ 0 1) into 1 10.022 * [backup-simplify]: Simplify (sqrt 1) into 1 10.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.023 * [backup-simplify]: Simplify (+ 0 0) into 0 10.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.024 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.024 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.024 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.024 * [taylor]: Taking taylor expansion of im in re 10.024 * [backup-simplify]: Simplify im into im 10.024 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.025 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.025 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.025 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.025 * [taylor]: Taking taylor expansion of re in re 10.025 * [backup-simplify]: Simplify 0 into 0 10.025 * [backup-simplify]: Simplify 1 into 1 10.025 * [backup-simplify]: Simplify (* 1 1) into 1 10.026 * [backup-simplify]: Simplify (/ 1 1) into 1 10.026 * [backup-simplify]: Simplify (+ 0 1) into 1 10.026 * [backup-simplify]: Simplify (sqrt 1) into 1 10.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.028 * [backup-simplify]: Simplify (+ 0 0) into 0 10.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.029 * [taylor]: Taking taylor expansion of 1 in im 10.029 * [backup-simplify]: Simplify 1 into 1 10.029 * [taylor]: Taking taylor expansion of 0 in im 10.029 * [backup-simplify]: Simplify 0 into 0 10.029 * [backup-simplify]: Simplify 1 into 1 10.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.031 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.032 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.032 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.032 * [taylor]: Taking taylor expansion of 1/2 in im 10.033 * [backup-simplify]: Simplify 1/2 into 1/2 10.033 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.033 * [taylor]: Taking taylor expansion of im in im 10.033 * [backup-simplify]: Simplify 0 into 0 10.033 * [backup-simplify]: Simplify 1 into 1 10.033 * [backup-simplify]: Simplify (* 1 1) into 1 10.033 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.035 * [backup-simplify]: Simplify 0 into 0 10.035 * [backup-simplify]: Simplify 0 into 0 10.035 * [backup-simplify]: Simplify 0 into 0 10.035 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.038 * [backup-simplify]: Simplify (+ 0 0) into 0 10.038 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.038 * [taylor]: Taking taylor expansion of 0 in im 10.039 * [backup-simplify]: Simplify 0 into 0 10.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.040 * [backup-simplify]: Simplify 0 into 0 10.041 * [backup-simplify]: Simplify 0 into 0 10.041 * [backup-simplify]: Simplify 0 into 0 10.041 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.041 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 10.041 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 10.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 10.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.041 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.041 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.041 * [taylor]: Taking taylor expansion of im in im 10.041 * [backup-simplify]: Simplify 0 into 0 10.042 * [backup-simplify]: Simplify 1 into 1 10.042 * [backup-simplify]: Simplify (* 1 1) into 1 10.042 * [backup-simplify]: Simplify (/ 1 1) into 1 10.042 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.042 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.042 * [taylor]: Taking taylor expansion of re in im 10.042 * [backup-simplify]: Simplify re into re 10.043 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.043 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.043 * [backup-simplify]: Simplify (+ 1 0) into 1 10.043 * [backup-simplify]: Simplify (sqrt 1) into 1 10.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.045 * [backup-simplify]: Simplify (+ 0 0) into 0 10.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.046 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.046 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.046 * [taylor]: Taking taylor expansion of im in re 10.046 * [backup-simplify]: Simplify im into im 10.046 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.046 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.046 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.046 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.046 * [taylor]: Taking taylor expansion of re in re 10.047 * [backup-simplify]: Simplify 0 into 0 10.047 * [backup-simplify]: Simplify 1 into 1 10.047 * [backup-simplify]: Simplify (* 1 1) into 1 10.047 * [backup-simplify]: Simplify (/ 1 1) into 1 10.048 * [backup-simplify]: Simplify (+ 0 1) into 1 10.048 * [backup-simplify]: Simplify (sqrt 1) into 1 10.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.050 * [backup-simplify]: Simplify (+ 0 0) into 0 10.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 10.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.051 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.051 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.051 * [taylor]: Taking taylor expansion of im in re 10.051 * [backup-simplify]: Simplify im into im 10.051 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.051 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.051 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.051 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.051 * [taylor]: Taking taylor expansion of re in re 10.051 * [backup-simplify]: Simplify 0 into 0 10.051 * [backup-simplify]: Simplify 1 into 1 10.052 * [backup-simplify]: Simplify (* 1 1) into 1 10.052 * [backup-simplify]: Simplify (/ 1 1) into 1 10.052 * [backup-simplify]: Simplify (+ 0 1) into 1 10.053 * [backup-simplify]: Simplify (sqrt 1) into 1 10.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.055 * [backup-simplify]: Simplify (+ 0 0) into 0 10.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.055 * [taylor]: Taking taylor expansion of 1 in im 10.055 * [backup-simplify]: Simplify 1 into 1 10.055 * [taylor]: Taking taylor expansion of 0 in im 10.056 * [backup-simplify]: Simplify 0 into 0 10.056 * [backup-simplify]: Simplify 1 into 1 10.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.058 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.059 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.059 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.059 * [taylor]: Taking taylor expansion of 1/2 in im 10.059 * [backup-simplify]: Simplify 1/2 into 1/2 10.059 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.059 * [taylor]: Taking taylor expansion of im in im 10.059 * [backup-simplify]: Simplify 0 into 0 10.059 * [backup-simplify]: Simplify 1 into 1 10.060 * [backup-simplify]: Simplify (* 1 1) into 1 10.060 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.062 * [backup-simplify]: Simplify 0 into 0 10.062 * [backup-simplify]: Simplify 0 into 0 10.062 * [backup-simplify]: Simplify 0 into 0 10.062 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.064 * [backup-simplify]: Simplify (+ 0 0) into 0 10.065 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.065 * [taylor]: Taking taylor expansion of 0 in im 10.065 * [backup-simplify]: Simplify 0 into 0 10.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.067 * [backup-simplify]: Simplify 0 into 0 10.067 * [backup-simplify]: Simplify 0 into 0 10.067 * [backup-simplify]: Simplify 0 into 0 10.067 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.067 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 10.067 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 10.067 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 10.067 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 10.067 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.067 * [taylor]: Taking taylor expansion of re in im 10.067 * [backup-simplify]: Simplify re into re 10.067 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.068 * [taylor]: Taking taylor expansion of im in im 10.068 * [backup-simplify]: Simplify 0 into 0 10.068 * [backup-simplify]: Simplify 1 into 1 10.068 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 10.068 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.068 * [taylor]: Taking taylor expansion of re in re 10.068 * [backup-simplify]: Simplify 0 into 0 10.068 * [backup-simplify]: Simplify 1 into 1 10.068 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.068 * [taylor]: Taking taylor expansion of im in re 10.068 * [backup-simplify]: Simplify im into im 10.068 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 10.068 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.068 * [taylor]: Taking taylor expansion of re in re 10.068 * [backup-simplify]: Simplify 0 into 0 10.068 * [backup-simplify]: Simplify 1 into 1 10.068 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.068 * [taylor]: Taking taylor expansion of im in re 10.068 * [backup-simplify]: Simplify im into im 10.068 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.068 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.068 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.068 * [taylor]: Taking taylor expansion of im in im 10.068 * [backup-simplify]: Simplify 0 into 0 10.068 * [backup-simplify]: Simplify 1 into 1 10.068 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.069 * [backup-simplify]: Simplify (+ 0 0) into 0 10.069 * [taylor]: Taking taylor expansion of 0 in im 10.069 * [backup-simplify]: Simplify 0 into 0 10.069 * [backup-simplify]: Simplify 0 into 0 10.069 * [backup-simplify]: Simplify (* 1 1) into 1 10.070 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.070 * [backup-simplify]: Simplify (+ 1 0) into 1 10.070 * [taylor]: Taking taylor expansion of 1 in im 10.070 * [backup-simplify]: Simplify 1 into 1 10.070 * [backup-simplify]: Simplify 1 into 1 10.070 * [backup-simplify]: Simplify 0 into 0 10.071 * [backup-simplify]: Simplify (* 1 1) into 1 10.071 * [backup-simplify]: Simplify 1 into 1 10.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.078 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.079 * [backup-simplify]: Simplify (+ 0 0) into 0 10.079 * [taylor]: Taking taylor expansion of 0 in im 10.079 * [backup-simplify]: Simplify 0 into 0 10.079 * [backup-simplify]: Simplify 0 into 0 10.079 * [backup-simplify]: Simplify 0 into 0 10.079 * [backup-simplify]: Simplify 0 into 0 10.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.080 * [backup-simplify]: Simplify 0 into 0 10.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.081 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 10.082 * [backup-simplify]: Simplify (+ 0 0) into 0 10.082 * [taylor]: Taking taylor expansion of 0 in im 10.082 * [backup-simplify]: Simplify 0 into 0 10.082 * [backup-simplify]: Simplify 0 into 0 10.082 * [backup-simplify]: Simplify 0 into 0 10.082 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 10.083 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 10.083 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 10.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.083 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.083 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.083 * [taylor]: Taking taylor expansion of im in im 10.083 * [backup-simplify]: Simplify 0 into 0 10.083 * [backup-simplify]: Simplify 1 into 1 10.083 * [backup-simplify]: Simplify (* 1 1) into 1 10.083 * [backup-simplify]: Simplify (/ 1 1) into 1 10.083 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.084 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.084 * [taylor]: Taking taylor expansion of re in im 10.084 * [backup-simplify]: Simplify re into re 10.084 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.084 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.084 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.084 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.084 * [taylor]: Taking taylor expansion of im in re 10.084 * [backup-simplify]: Simplify im into im 10.084 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.084 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.084 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.084 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.084 * [taylor]: Taking taylor expansion of re in re 10.084 * [backup-simplify]: Simplify 0 into 0 10.084 * [backup-simplify]: Simplify 1 into 1 10.085 * [backup-simplify]: Simplify (* 1 1) into 1 10.085 * [backup-simplify]: Simplify (/ 1 1) into 1 10.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.085 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.085 * [taylor]: Taking taylor expansion of im in re 10.085 * [backup-simplify]: Simplify im into im 10.085 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.085 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.085 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.085 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.085 * [taylor]: Taking taylor expansion of re in re 10.085 * [backup-simplify]: Simplify 0 into 0 10.085 * [backup-simplify]: Simplify 1 into 1 10.086 * [backup-simplify]: Simplify (* 1 1) into 1 10.086 * [backup-simplify]: Simplify (/ 1 1) into 1 10.086 * [backup-simplify]: Simplify (+ 0 1) into 1 10.087 * [taylor]: Taking taylor expansion of 1 in im 10.087 * [backup-simplify]: Simplify 1 into 1 10.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.088 * [backup-simplify]: Simplify (+ 0 0) into 0 10.088 * [taylor]: Taking taylor expansion of 0 in im 10.088 * [backup-simplify]: Simplify 0 into 0 10.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.090 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.090 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.090 * [taylor]: Taking taylor expansion of im in im 10.090 * [backup-simplify]: Simplify 0 into 0 10.090 * [backup-simplify]: Simplify 1 into 1 10.091 * [backup-simplify]: Simplify (* 1 1) into 1 10.091 * [backup-simplify]: Simplify (/ 1 1) into 1 10.091 * [backup-simplify]: Simplify 1 into 1 10.091 * [backup-simplify]: Simplify 1 into 1 10.091 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.094 * [backup-simplify]: Simplify (+ 0 0) into 0 10.094 * [taylor]: Taking taylor expansion of 0 in im 10.094 * [backup-simplify]: Simplify 0 into 0 10.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.095 * [backup-simplify]: Simplify 0 into 0 10.096 * [backup-simplify]: Simplify 0 into 0 10.096 * [backup-simplify]: Simplify 0 into 0 10.096 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 10.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.099 * [backup-simplify]: Simplify (+ 0 0) into 0 10.099 * [taylor]: Taking taylor expansion of 0 in im 10.100 * [backup-simplify]: Simplify 0 into 0 10.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.101 * [backup-simplify]: Simplify 0 into 0 10.101 * [backup-simplify]: Simplify 0 into 0 10.101 * [backup-simplify]: Simplify 0 into 0 10.102 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 10.102 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 10.102 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 10.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 10.102 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.103 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.103 * [taylor]: Taking taylor expansion of im in im 10.103 * [backup-simplify]: Simplify 0 into 0 10.103 * [backup-simplify]: Simplify 1 into 1 10.103 * [backup-simplify]: Simplify (* 1 1) into 1 10.103 * [backup-simplify]: Simplify (/ 1 1) into 1 10.103 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.104 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.104 * [taylor]: Taking taylor expansion of re in im 10.104 * [backup-simplify]: Simplify re into re 10.104 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.104 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.104 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.104 * [taylor]: Taking taylor expansion of im in re 10.104 * [backup-simplify]: Simplify im into im 10.104 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.104 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.104 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.104 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.104 * [taylor]: Taking taylor expansion of re in re 10.104 * [backup-simplify]: Simplify 0 into 0 10.104 * [backup-simplify]: Simplify 1 into 1 10.105 * [backup-simplify]: Simplify (* 1 1) into 1 10.105 * [backup-simplify]: Simplify (/ 1 1) into 1 10.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 10.105 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.105 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.105 * [taylor]: Taking taylor expansion of im in re 10.105 * [backup-simplify]: Simplify im into im 10.105 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.106 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.106 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.106 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.106 * [taylor]: Taking taylor expansion of re in re 10.106 * [backup-simplify]: Simplify 0 into 0 10.106 * [backup-simplify]: Simplify 1 into 1 10.106 * [backup-simplify]: Simplify (* 1 1) into 1 10.106 * [backup-simplify]: Simplify (/ 1 1) into 1 10.107 * [backup-simplify]: Simplify (+ 0 1) into 1 10.107 * [taylor]: Taking taylor expansion of 1 in im 10.107 * [backup-simplify]: Simplify 1 into 1 10.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.109 * [backup-simplify]: Simplify (+ 0 0) into 0 10.109 * [taylor]: Taking taylor expansion of 0 in im 10.109 * [backup-simplify]: Simplify 0 into 0 10.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.111 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 10.111 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.111 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.111 * [taylor]: Taking taylor expansion of im in im 10.111 * [backup-simplify]: Simplify 0 into 0 10.111 * [backup-simplify]: Simplify 1 into 1 10.111 * [backup-simplify]: Simplify (* 1 1) into 1 10.112 * [backup-simplify]: Simplify (/ 1 1) into 1 10.112 * [backup-simplify]: Simplify 1 into 1 10.112 * [backup-simplify]: Simplify 1 into 1 10.112 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.115 * [backup-simplify]: Simplify (+ 0 0) into 0 10.115 * [taylor]: Taking taylor expansion of 0 in im 10.115 * [backup-simplify]: Simplify 0 into 0 10.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.116 * [backup-simplify]: Simplify 0 into 0 10.116 * [backup-simplify]: Simplify 0 into 0 10.116 * [backup-simplify]: Simplify 0 into 0 10.117 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 10.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.120 * [backup-simplify]: Simplify (+ 0 0) into 0 10.120 * [taylor]: Taking taylor expansion of 0 in im 10.120 * [backup-simplify]: Simplify 0 into 0 10.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.122 * [backup-simplify]: Simplify 0 into 0 10.122 * [backup-simplify]: Simplify 0 into 0 10.122 * [backup-simplify]: Simplify 0 into 0 10.122 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 10.122 * * * [progress]: simplifying candidates 10.124 * [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 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) im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 10.125 * * [simplify]: Extracting # 0 : cost 0 10.125 * * [simplify]: Extracting # 1 : cost 0 10.125 * * [simplify]: Extracting # 2 : cost 0 10.125 * * [simplify]: Extracting # 3 : cost 0 10.126 * * [simplify]: Extracting # 4 : cost 0 10.126 * * [simplify]: Extracting # 5 : cost 0 10.126 * * [simplify]: Extracting # 6 : cost 0 10.126 * * [simplify]: iteration 0 : 87 enodes (cost 739 ) 10.144 * * [simplify]: Extracting # 0 : cost 0 10.144 * * [simplify]: Extracting # 1 : cost 0 10.144 * * [simplify]: Extracting # 2 : cost 0 10.145 * * [simplify]: Extracting # 3 : cost 0 10.145 * * [simplify]: Extracting # 4 : cost 0 10.145 * * [simplify]: iteration 1 : 169 enodes (cost 626 ) 10.234 * * [simplify]: Extracting # 0 : cost 0 10.234 * * [simplify]: Extracting # 1 : cost 0 10.235 * * [simplify]: Extracting # 2 : cost 0 10.236 * * [simplify]: Extracting # 3 : cost 0 10.237 * * [simplify]: Extracting # 4 : cost 0 10.237 * * [simplify]: iteration 2 : 398 enodes (cost 534 ) 10.507 * * [simplify]: Extracting # 0 : cost 0 10.509 * * [simplify]: Extracting # 1 : cost 0 10.511 * * [simplify]: Extracting # 2 : cost 0 10.513 * * [simplify]: Extracting # 3 : cost 0 10.515 * * [simplify]: Extracting # 4 : cost 0 10.517 * * [simplify]: iteration 3 : 1056 enodes (cost 534 ) 11.277 * * [simplify]: Extracting # 0 : cost 0 11.280 * * [simplify]: Extracting # 1 : cost 0 11.287 * * [simplify]: Extracting # 2 : cost 0 11.289 * * [simplify]: Extracting # 3 : cost 0 11.292 * * [simplify]: Extracting # 4 : cost 0 11.294 * * [simplify]: iteration 4 : 2807 enodes (cost 528 ) 12.686 * * [simplify]: Extracting # 0 : cost 0 12.691 * * [simplify]: Extracting # 1 : cost 0 12.695 * * [simplify]: Extracting # 2 : cost 0 12.701 * * [simplify]: Extracting # 3 : cost 0 12.705 * * [simplify]: Extracting # 4 : cost 0 12.710 * * [simplify]: Extracting # 5 : cost 0 12.715 * * [simplify]: iteration done: 5001 enodes (cost 528 ) 12.715 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp 1/2) E (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)))))) E (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (cbrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow im 6) (pow re 6)) (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) im re (- re) im re (- re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 12.715 * * * [progress]: adding candidates to table 12.840 * [progress]: [Phase 3 of 3] Extracting. 12.840 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 12.841 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 12.841 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # #) 12.886 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #) 12.929 * * * * [regimes]: Trying to branch on (* re re) from (# # # # # # # # # #) 12.969 * * * * [regimes]: Trying to branch on (* re re) from (# # # # # #) 13.015 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # # # # # # # #) 13.082 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # #) 13.102 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # # # # # # # #) 13.192 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # #) 13.214 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # #) 13.300 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # #) 13.371 * * * [regime]: Found split indices: #