11.437 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying: (sqrt (+ (* re re) (* im im))) 0.025 * * [simplify]: Extracting # 0 : cost 0 0.025 * * [simplify]: Extracting # 1 : cost 0 0.026 * * [simplify]: Extracting # 2 : cost 0 0.026 * * [simplify]: Extracting # 3 : cost 0 0.026 * * [simplify]: Extracting # 4 : cost 0 0.026 * * [simplify]: Extracting # 5 : cost 0 0.026 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.027 * * [simplify]: Extracting # 0 : cost 0 0.027 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 0.029 * * [simplify]: Extracting # 0 : cost 0 0.029 * * [simplify]: iteration done: 7 enodes (cost 8 ) 0.029 * [simplify]: Simplified to: (sqrt (+ (* re re) (* im im))) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.057 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.071 * * * [progress]: generating series expansions 0.072 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.072 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.072 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.072 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.072 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.072 * [taylor]: Taking taylor expansion of re in im 0.072 * [backup-simplify]: Simplify re into re 0.072 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.072 * [taylor]: Taking taylor expansion of im in im 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.072 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.072 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.073 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.073 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.073 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.073 * [taylor]: Taking taylor expansion of re in re 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.074 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.074 * [taylor]: Taking taylor expansion of im in re 0.074 * [backup-simplify]: Simplify im into im 0.074 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.074 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.074 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.074 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.075 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.075 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.075 * [taylor]: Taking taylor expansion of re in re 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.075 * [taylor]: Taking taylor expansion of im in re 0.075 * [backup-simplify]: Simplify im into im 0.075 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.075 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.075 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.075 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.076 * [taylor]: Taking taylor expansion of im in im 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [taylor]: Taking taylor expansion of 0 in im 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (* 1 1) into 1 0.076 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.077 * [backup-simplify]: Simplify (+ 1 0) into 1 0.077 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.077 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.077 * [taylor]: Taking taylor expansion of 1/2 in im 0.077 * [backup-simplify]: Simplify 1/2 into 1/2 0.077 * [taylor]: Taking taylor expansion of im in im 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.079 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.079 * [taylor]: Taking taylor expansion of 0 in im 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.080 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.080 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.080 * [taylor]: Taking taylor expansion of (pow im 2) in im 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 0.081 * [backup-simplify]: Simplify (* 1 1) into 1 0.081 * [backup-simplify]: Simplify (/ 1 1) into 1 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.081 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.081 * [taylor]: Taking taylor expansion of re in im 0.081 * [backup-simplify]: Simplify re into re 0.081 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.081 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.081 * [backup-simplify]: Simplify (+ 1 0) into 1 0.082 * [backup-simplify]: Simplify (sqrt 1) into 1 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.083 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.083 * [taylor]: Taking taylor expansion of im in re 0.083 * [backup-simplify]: Simplify im into im 0.083 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.083 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.083 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.083 * [taylor]: Taking taylor expansion of re in re 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (* 1 1) into 1 0.084 * [backup-simplify]: Simplify (/ 1 1) into 1 0.084 * [backup-simplify]: Simplify (+ 0 1) into 1 0.084 * [backup-simplify]: Simplify (sqrt 1) into 1 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.086 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.086 * [taylor]: Taking taylor expansion of im in re 0.086 * [backup-simplify]: Simplify im into im 0.086 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.086 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.086 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.086 * [taylor]: Taking taylor expansion of re in re 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (* 1 1) into 1 0.087 * [backup-simplify]: Simplify (/ 1 1) into 1 0.087 * [backup-simplify]: Simplify (+ 0 1) 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 0.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.089 * [taylor]: Taking taylor expansion of 1 in im 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [taylor]: Taking taylor expansion of 0 in im 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.091 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.091 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.091 * [taylor]: Taking taylor expansion of 1/2 in im 0.091 * [backup-simplify]: Simplify 1/2 into 1/2 0.091 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.091 * [taylor]: Taking taylor expansion of im in im 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (* 1 1) into 1 0.092 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.101 * [taylor]: Taking taylor expansion of 0 in im 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.103 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.103 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.104 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.104 * [taylor]: Taking taylor expansion of im in im 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (* 1 1) into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.104 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.104 * [taylor]: Taking taylor expansion of re in im 0.104 * [backup-simplify]: Simplify re into re 0.104 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.105 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.105 * [backup-simplify]: Simplify (+ 1 0) into 1 0.105 * [backup-simplify]: Simplify (sqrt 1) into 1 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.108 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.108 * [taylor]: Taking taylor expansion of im in re 0.108 * [backup-simplify]: Simplify im into im 0.108 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.108 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.108 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.108 * [taylor]: Taking taylor expansion of re in re 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (* 1 1) into 1 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [backup-simplify]: Simplify (+ 0 1) into 1 0.109 * [backup-simplify]: Simplify (sqrt 1) into 1 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.112 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.112 * [taylor]: Taking taylor expansion of im in re 0.112 * [backup-simplify]: Simplify im into im 0.112 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.112 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.112 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.112 * [taylor]: Taking taylor expansion of re in re 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (* 1 1) into 1 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.113 * [backup-simplify]: Simplify (+ 0 1) 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 1 in im 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [taylor]: Taking taylor expansion of 0 in im 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.119 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.119 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.119 * [taylor]: Taking taylor expansion of 1/2 in im 0.119 * [backup-simplify]: Simplify 1/2 into 1/2 0.119 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.119 * [taylor]: Taking taylor expansion of im in im 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (* 1 1) into 1 0.120 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.125 * [taylor]: Taking taylor expansion of 0 in im 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.127 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.127 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.127 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.127 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.127 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.127 * [taylor]: Taking taylor expansion of re in im 0.127 * [backup-simplify]: Simplify re into re 0.127 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.127 * [taylor]: Taking taylor expansion of im in im 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.127 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.127 * [taylor]: Taking taylor expansion of re in re 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.127 * [taylor]: Taking taylor expansion of im in re 0.127 * [backup-simplify]: Simplify im into im 0.127 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.127 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.127 * [taylor]: Taking taylor expansion of re in re 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.128 * [taylor]: Taking taylor expansion of im in re 0.128 * [backup-simplify]: Simplify im into im 0.128 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.128 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.128 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.128 * [taylor]: Taking taylor expansion of im in im 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [taylor]: Taking taylor expansion of 0 in im 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (* 1 1) into 1 0.130 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.130 * [backup-simplify]: Simplify (+ 1 0) into 1 0.130 * [taylor]: Taking taylor expansion of 1 in im 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (* 1 1) into 1 0.130 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.132 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 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 0 into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.135 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [taylor]: Taking taylor expansion of 0 in im 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.136 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.136 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.136 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.136 * [taylor]: Taking taylor expansion of im in im 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (* 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 0.137 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.137 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.137 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.137 * [taylor]: Taking taylor expansion of re in re 0.137 * [backup-simplify]: Simplify 0 into 0 0.138 * [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) 0.139 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.139 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.139 * [taylor]: Taking taylor expansion of re in re 0.139 * [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 0.140 * [backup-simplify]: Simplify (+ 0 1) into 1 0.140 * [taylor]: Taking taylor expansion of 1 in im 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [taylor]: Taking taylor expansion of 0 in im 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.144 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.144 * [taylor]: Taking taylor expansion of im in im 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (* 1 1) into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [taylor]: Taking taylor expansion of 0 in im 0.148 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [taylor]: Taking taylor expansion of 0 in im 0.153 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 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)) 0.156 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.156 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.156 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.156 * [taylor]: Taking taylor expansion of im in im 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (* 1 1) into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.157 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.157 * [taylor]: Taking taylor expansion of re in im 0.157 * [backup-simplify]: Simplify re into re 0.157 * [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 0.159 * [backup-simplify]: Simplify (+ 0 1) into 1 0.159 * [taylor]: Taking taylor expansion of 1 in im 0.159 * [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 0.161 * [taylor]: Taking taylor expansion of 0 in im 0.161 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.163 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.163 * [taylor]: Taking taylor expansion of im in im 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (* 1 1) into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [taylor]: Taking taylor expansion of 0 in im 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [taylor]: Taking taylor expansion of 0 in im 0.171 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.174 * * * [progress]: simplifying candidates 0.175 * [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)) 0.176 * * [simplify]: Extracting # 0 : cost 0 0.176 * * [simplify]: Extracting # 1 : cost 0 0.176 * * [simplify]: Extracting # 2 : cost 0 0.176 * * [simplify]: Extracting # 3 : cost 0 0.176 * * [simplify]: Extracting # 4 : cost 0 0.176 * * [simplify]: Extracting # 5 : cost 0 0.176 * * [simplify]: iteration 0 : 48 enodes (cost 379 ) 0.189 * * [simplify]: Extracting # 0 : cost 0 0.189 * * [simplify]: Extracting # 1 : cost 0 0.189 * * [simplify]: Extracting # 2 : cost 0 0.189 * * [simplify]: Extracting # 3 : cost 0 0.189 * * [simplify]: Extracting # 4 : cost 0 0.189 * * [simplify]: iteration 1 : 124 enodes (cost 347 ) 0.260 * * [simplify]: Extracting # 0 : cost 0 0.261 * * [simplify]: Extracting # 1 : cost 0 0.261 * * [simplify]: Extracting # 2 : cost 0 0.262 * * [simplify]: Extracting # 3 : cost 0 0.262 * * [simplify]: Extracting # 4 : cost 0 0.262 * * [simplify]: iteration 2 : 343 enodes (cost 295 ) 0.530 * * [simplify]: Extracting # 0 : cost 0 0.532 * * [simplify]: Extracting # 1 : cost 0 0.534 * * [simplify]: Extracting # 2 : cost 0 0.536 * * [simplify]: Extracting # 3 : cost 0 0.538 * * [simplify]: Extracting # 4 : cost 0 0.539 * * [simplify]: iteration 3 : 968 enodes (cost 295 ) 1.285 * * [simplify]: Extracting # 0 : cost 0 1.288 * * [simplify]: Extracting # 1 : cost 0 1.291 * * [simplify]: Extracting # 2 : cost 0 1.293 * * [simplify]: Extracting # 3 : cost 0 1.296 * * [simplify]: Extracting # 4 : cost 0 1.300 * * [simplify]: iteration 4 : 2668 enodes (cost 295 ) 2.569 * * [simplify]: Extracting # 0 : cost 0 2.574 * * [simplify]: Extracting # 1 : cost 0 2.579 * * [simplify]: Extracting # 2 : cost 0 2.584 * * [simplify]: Extracting # 3 : cost 0 2.588 * * [simplify]: Extracting # 4 : cost 0 2.594 * * [simplify]: iteration done: 5000 enodes (cost 295 ) 2.595 * [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)) 2.595 * * * [progress]: adding candidates to table 2.707 * * [progress]: iteration 2 / 4 2.707 * * * [progress]: picking best candidate 2.721 * * * * [pick]: Picked # 2.721 * * * [progress]: localizing error 2.744 * * * [progress]: generating rewritten candidates 2.744 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.757 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 2.771 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.784 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.797 * * * [progress]: generating series expansions 2.797 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.797 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.797 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.797 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.797 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.797 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.797 * [taylor]: Taking taylor expansion of re in im 2.797 * [backup-simplify]: Simplify re into re 2.797 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.797 * [taylor]: Taking taylor expansion of im in im 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify 1 into 1 2.797 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.798 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.798 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.798 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.798 * [backup-simplify]: Simplify (+ 0 0) into 0 2.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.799 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.799 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.799 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.799 * [taylor]: Taking taylor expansion of re in re 2.799 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify 1 into 1 2.799 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.799 * [taylor]: Taking taylor expansion of im in re 2.799 * [backup-simplify]: Simplify im into im 2.799 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.799 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.799 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.799 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.800 * [backup-simplify]: Simplify (+ 0 0) into 0 2.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.800 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.800 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.800 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.800 * [taylor]: Taking taylor expansion of re in re 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify 1 into 1 2.800 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.800 * [taylor]: Taking taylor expansion of im in re 2.800 * [backup-simplify]: Simplify im into im 2.800 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.800 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.800 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.801 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.801 * [backup-simplify]: Simplify (+ 0 0) into 0 2.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.801 * [taylor]: Taking taylor expansion of im in im 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify 1 into 1 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [taylor]: Taking taylor expansion of 0 in im 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify 1 into 1 2.802 * [backup-simplify]: Simplify (* 1 1) into 1 2.802 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.803 * [backup-simplify]: Simplify (+ 1 0) into 1 2.803 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.803 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.803 * [taylor]: Taking taylor expansion of 1/2 in im 2.804 * [backup-simplify]: Simplify 1/2 into 1/2 2.804 * [taylor]: Taking taylor expansion of im in im 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 1 into 1 2.804 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.806 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.807 * [backup-simplify]: Simplify (+ 0 0) into 0 2.807 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.807 * [taylor]: Taking taylor expansion of 0 in im 2.807 * [backup-simplify]: Simplify 0 into 0 2.807 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.808 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.808 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.808 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.808 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.808 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.808 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.808 * [taylor]: Taking taylor expansion of im in im 2.808 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify 1 into 1 2.809 * [backup-simplify]: Simplify (* 1 1) into 1 2.809 * [backup-simplify]: Simplify (/ 1 1) into 1 2.809 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.809 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.809 * [taylor]: Taking taylor expansion of re in im 2.809 * [backup-simplify]: Simplify re into re 2.809 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.810 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.810 * [backup-simplify]: Simplify (+ 1 0) into 1 2.810 * [backup-simplify]: Simplify (sqrt 1) into 1 2.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.813 * [backup-simplify]: Simplify (+ 0 0) into 0 2.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.814 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.814 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.814 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.814 * [taylor]: Taking taylor expansion of im in re 2.814 * [backup-simplify]: Simplify im into im 2.815 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.815 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.815 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.815 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.815 * [taylor]: Taking taylor expansion of re in re 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify 1 into 1 2.815 * [backup-simplify]: Simplify (* 1 1) into 1 2.816 * [backup-simplify]: Simplify (/ 1 1) into 1 2.816 * [backup-simplify]: Simplify (+ 0 1) into 1 2.817 * [backup-simplify]: Simplify (sqrt 1) into 1 2.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.818 * [backup-simplify]: Simplify (+ 0 0) into 0 2.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.819 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.819 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.819 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.819 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.819 * [taylor]: Taking taylor expansion of im in re 2.819 * [backup-simplify]: Simplify im into im 2.819 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.820 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.820 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.820 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.820 * [taylor]: Taking taylor expansion of re in re 2.820 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify 1 into 1 2.820 * [backup-simplify]: Simplify (* 1 1) into 1 2.820 * [backup-simplify]: Simplify (/ 1 1) into 1 2.821 * [backup-simplify]: Simplify (+ 0 1) into 1 2.821 * [backup-simplify]: Simplify (sqrt 1) into 1 2.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.823 * [backup-simplify]: Simplify (+ 0 0) into 0 2.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.823 * [taylor]: Taking taylor expansion of 1 in im 2.823 * [backup-simplify]: Simplify 1 into 1 2.824 * [taylor]: Taking taylor expansion of 0 in im 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify 1 into 1 2.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.825 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.827 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.827 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.827 * [taylor]: Taking taylor expansion of 1/2 in im 2.827 * [backup-simplify]: Simplify 1/2 into 1/2 2.827 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.827 * [taylor]: Taking taylor expansion of im in im 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 1 into 1 2.827 * [backup-simplify]: Simplify (* 1 1) into 1 2.834 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.838 * [backup-simplify]: Simplify (+ 0 0) into 0 2.839 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.839 * [taylor]: Taking taylor expansion of 0 in im 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.840 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.840 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.840 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.840 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.840 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.840 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.840 * [taylor]: Taking taylor expansion of im in im 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify 1 into 1 2.840 * [backup-simplify]: Simplify (* 1 1) into 1 2.841 * [backup-simplify]: Simplify (/ 1 1) into 1 2.841 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.841 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.841 * [taylor]: Taking taylor expansion of re in im 2.841 * [backup-simplify]: Simplify re into re 2.841 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.841 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.841 * [backup-simplify]: Simplify (+ 1 0) into 1 2.841 * [backup-simplify]: Simplify (sqrt 1) into 1 2.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.843 * [backup-simplify]: Simplify (+ 0 0) into 0 2.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.843 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.843 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.843 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.843 * [taylor]: Taking taylor expansion of im in re 2.843 * [backup-simplify]: Simplify im into im 2.843 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.843 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.843 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.843 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.843 * [taylor]: Taking taylor expansion of re in re 2.843 * [backup-simplify]: Simplify 0 into 0 2.843 * [backup-simplify]: Simplify 1 into 1 2.844 * [backup-simplify]: Simplify (* 1 1) into 1 2.844 * [backup-simplify]: Simplify (/ 1 1) into 1 2.844 * [backup-simplify]: Simplify (+ 0 1) into 1 2.844 * [backup-simplify]: Simplify (sqrt 1) into 1 2.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.846 * [backup-simplify]: Simplify (+ 0 0) into 0 2.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.846 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.846 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.846 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.846 * [taylor]: Taking taylor expansion of im in re 2.846 * [backup-simplify]: Simplify im into im 2.846 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.846 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.846 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.846 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.846 * [taylor]: Taking taylor expansion of re in re 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify 1 into 1 2.847 * [backup-simplify]: Simplify (* 1 1) into 1 2.847 * [backup-simplify]: Simplify (/ 1 1) into 1 2.847 * [backup-simplify]: Simplify (+ 0 1) into 1 2.847 * [backup-simplify]: Simplify (sqrt 1) into 1 2.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.848 * [backup-simplify]: Simplify (+ 0 0) into 0 2.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.849 * [taylor]: Taking taylor expansion of 1 in im 2.849 * [backup-simplify]: Simplify 1 into 1 2.849 * [taylor]: Taking taylor expansion of 0 in im 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify 1 into 1 2.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.851 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.852 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.852 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.852 * [taylor]: Taking taylor expansion of 1/2 in im 2.852 * [backup-simplify]: Simplify 1/2 into 1/2 2.852 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.852 * [taylor]: Taking taylor expansion of im in im 2.852 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify 1 into 1 2.853 * [backup-simplify]: Simplify (* 1 1) into 1 2.853 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.857 * [backup-simplify]: Simplify (+ 0 0) into 0 2.858 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.858 * [taylor]: Taking taylor expansion of 0 in im 2.858 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.860 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 2.860 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.860 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.860 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.860 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.860 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.860 * [taylor]: Taking taylor expansion of re in im 2.860 * [backup-simplify]: Simplify re into re 2.860 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.861 * [taylor]: Taking taylor expansion of im in im 2.861 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify 1 into 1 2.861 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.861 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.861 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.861 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.861 * [backup-simplify]: Simplify (+ 0 0) into 0 2.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.862 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.862 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.862 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.862 * [taylor]: Taking taylor expansion of re in re 2.862 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify 1 into 1 2.862 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.862 * [taylor]: Taking taylor expansion of im in re 2.862 * [backup-simplify]: Simplify im into im 2.862 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.862 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.862 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.862 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.862 * [backup-simplify]: Simplify (+ 0 0) into 0 2.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.863 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.863 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.863 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.863 * [taylor]: Taking taylor expansion of re in re 2.863 * [backup-simplify]: Simplify 0 into 0 2.863 * [backup-simplify]: Simplify 1 into 1 2.863 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.863 * [taylor]: Taking taylor expansion of im in re 2.863 * [backup-simplify]: Simplify im into im 2.863 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.863 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.863 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.863 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.864 * [backup-simplify]: Simplify (+ 0 0) into 0 2.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.864 * [taylor]: Taking taylor expansion of im in im 2.864 * [backup-simplify]: Simplify 0 into 0 2.864 * [backup-simplify]: Simplify 1 into 1 2.864 * [backup-simplify]: Simplify 0 into 0 2.864 * [taylor]: Taking taylor expansion of 0 in im 2.864 * [backup-simplify]: Simplify 0 into 0 2.864 * [backup-simplify]: Simplify 0 into 0 2.864 * [backup-simplify]: Simplify 1 into 1 2.864 * [backup-simplify]: Simplify (* 1 1) into 1 2.865 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.865 * [backup-simplify]: Simplify (+ 1 0) into 1 2.866 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.866 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.866 * [taylor]: Taking taylor expansion of 1/2 in im 2.866 * [backup-simplify]: Simplify 1/2 into 1/2 2.866 * [taylor]: Taking taylor expansion of im in im 2.866 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify 1 into 1 2.867 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.867 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.869 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.869 * [backup-simplify]: Simplify (+ 0 0) into 0 2.869 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.869 * [taylor]: Taking taylor expansion of 0 in im 2.869 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.870 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.871 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.871 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.871 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.871 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.871 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.871 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.871 * [taylor]: Taking taylor expansion of im in im 2.871 * [backup-simplify]: Simplify 0 into 0 2.871 * [backup-simplify]: Simplify 1 into 1 2.871 * [backup-simplify]: Simplify (* 1 1) into 1 2.872 * [backup-simplify]: Simplify (/ 1 1) into 1 2.872 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.872 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.872 * [taylor]: Taking taylor expansion of re in im 2.872 * [backup-simplify]: Simplify re into re 2.872 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.872 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.872 * [backup-simplify]: Simplify (+ 1 0) into 1 2.873 * [backup-simplify]: Simplify (sqrt 1) into 1 2.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.874 * [backup-simplify]: Simplify (+ 0 0) into 0 2.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.875 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.875 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.875 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.875 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.875 * [taylor]: Taking taylor expansion of im in re 2.875 * [backup-simplify]: Simplify im into im 2.875 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.875 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.875 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.875 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.875 * [taylor]: Taking taylor expansion of re in re 2.875 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify 1 into 1 2.876 * [backup-simplify]: Simplify (* 1 1) into 1 2.876 * [backup-simplify]: Simplify (/ 1 1) into 1 2.876 * [backup-simplify]: Simplify (+ 0 1) into 1 2.877 * [backup-simplify]: Simplify (sqrt 1) into 1 2.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.878 * [backup-simplify]: Simplify (+ 0 0) into 0 2.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.879 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.879 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.879 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.879 * [taylor]: Taking taylor expansion of im in re 2.879 * [backup-simplify]: Simplify im into im 2.879 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.879 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.879 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.879 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.879 * [taylor]: Taking taylor expansion of re in re 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify 1 into 1 2.880 * [backup-simplify]: Simplify (* 1 1) into 1 2.880 * [backup-simplify]: Simplify (/ 1 1) into 1 2.881 * [backup-simplify]: Simplify (+ 0 1) into 1 2.881 * [backup-simplify]: Simplify (sqrt 1) into 1 2.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.882 * [backup-simplify]: Simplify (+ 0 0) into 0 2.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.883 * [taylor]: Taking taylor expansion of 1 in im 2.883 * [backup-simplify]: Simplify 1 into 1 2.883 * [taylor]: Taking taylor expansion of 0 in im 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify 1 into 1 2.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.885 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.886 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.886 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.886 * [taylor]: Taking taylor expansion of 1/2 in im 2.886 * [backup-simplify]: Simplify 1/2 into 1/2 2.886 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.886 * [taylor]: Taking taylor expansion of im in im 2.887 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify 1 into 1 2.887 * [backup-simplify]: Simplify (* 1 1) into 1 2.887 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.889 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.891 * [backup-simplify]: Simplify (+ 0 0) into 0 2.892 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.892 * [taylor]: Taking taylor expansion of 0 in im 2.892 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.894 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.894 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.894 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.894 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.894 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.894 * [taylor]: Taking taylor expansion of im in im 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 1 into 1 2.895 * [backup-simplify]: Simplify (* 1 1) into 1 2.895 * [backup-simplify]: Simplify (/ 1 1) into 1 2.895 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.895 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.895 * [taylor]: Taking taylor expansion of re in im 2.895 * [backup-simplify]: Simplify re into re 2.895 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.895 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.896 * [backup-simplify]: Simplify (+ 1 0) into 1 2.896 * [backup-simplify]: Simplify (sqrt 1) into 1 2.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.897 * [backup-simplify]: Simplify (+ 0 0) into 0 2.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.898 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.898 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.898 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.898 * [taylor]: Taking taylor expansion of im in re 2.898 * [backup-simplify]: Simplify im into im 2.898 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.898 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.899 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.899 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.899 * [taylor]: Taking taylor expansion of re in re 2.899 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify 1 into 1 2.899 * [backup-simplify]: Simplify (* 1 1) into 1 2.899 * [backup-simplify]: Simplify (/ 1 1) into 1 2.900 * [backup-simplify]: Simplify (+ 0 1) into 1 2.900 * [backup-simplify]: Simplify (sqrt 1) into 1 2.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.902 * [backup-simplify]: Simplify (+ 0 0) into 0 2.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.902 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.902 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.902 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.902 * [taylor]: Taking taylor expansion of im in re 2.902 * [backup-simplify]: Simplify im into im 2.902 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.903 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.903 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.903 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.903 * [taylor]: Taking taylor expansion of re in re 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 1 into 1 2.903 * [backup-simplify]: Simplify (* 1 1) into 1 2.903 * [backup-simplify]: Simplify (/ 1 1) into 1 2.904 * [backup-simplify]: Simplify (+ 0 1) into 1 2.904 * [backup-simplify]: Simplify (sqrt 1) into 1 2.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.906 * [backup-simplify]: Simplify (+ 0 0) into 0 2.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.906 * [taylor]: Taking taylor expansion of 1 in im 2.906 * [backup-simplify]: Simplify 1 into 1 2.906 * [taylor]: Taking taylor expansion of 0 in im 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify 1 into 1 2.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.908 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.909 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.909 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.910 * [taylor]: Taking taylor expansion of 1/2 in im 2.910 * [backup-simplify]: Simplify 1/2 into 1/2 2.910 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.910 * [taylor]: Taking taylor expansion of im in im 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify 1 into 1 2.910 * [backup-simplify]: Simplify (* 1 1) into 1 2.910 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.914 * [backup-simplify]: Simplify (+ 0 0) into 0 2.915 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.915 * [taylor]: Taking taylor expansion of 0 in im 2.915 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.917 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.917 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.917 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.917 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.917 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.917 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.917 * [taylor]: Taking taylor expansion of re in im 2.917 * [backup-simplify]: Simplify re into re 2.918 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.918 * [taylor]: Taking taylor expansion of im in im 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify 1 into 1 2.918 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.918 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.918 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.918 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.918 * [backup-simplify]: Simplify (+ 0 0) into 0 2.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.919 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.919 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.919 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.919 * [taylor]: Taking taylor expansion of re in re 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify 1 into 1 2.919 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.919 * [taylor]: Taking taylor expansion of im in re 2.919 * [backup-simplify]: Simplify im into im 2.919 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.919 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.919 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.919 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.920 * [backup-simplify]: Simplify (+ 0 0) into 0 2.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.920 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.920 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.920 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.920 * [taylor]: Taking taylor expansion of re in re 2.920 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify 1 into 1 2.920 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.920 * [taylor]: Taking taylor expansion of im in re 2.920 * [backup-simplify]: Simplify im into im 2.920 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.920 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.920 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.920 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.921 * [backup-simplify]: Simplify (+ 0 0) into 0 2.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.921 * [taylor]: Taking taylor expansion of im in im 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify 1 into 1 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [taylor]: Taking taylor expansion of 0 in im 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify 1 into 1 2.921 * [backup-simplify]: Simplify (* 1 1) into 1 2.922 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.922 * [backup-simplify]: Simplify (+ 1 0) into 1 2.923 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.923 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.923 * [taylor]: Taking taylor expansion of 1/2 in im 2.923 * [backup-simplify]: Simplify 1/2 into 1/2 2.923 * [taylor]: Taking taylor expansion of im in im 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify 1 into 1 2.924 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.926 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.926 * [backup-simplify]: Simplify (+ 0 0) into 0 2.926 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.926 * [taylor]: Taking taylor expansion of 0 in im 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.927 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.928 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.928 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.928 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.928 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.928 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.928 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.928 * [taylor]: Taking taylor expansion of im in im 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 1 into 1 2.928 * [backup-simplify]: Simplify (* 1 1) into 1 2.929 * [backup-simplify]: Simplify (/ 1 1) into 1 2.929 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.929 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.929 * [taylor]: Taking taylor expansion of re in im 2.929 * [backup-simplify]: Simplify re into re 2.929 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.929 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.929 * [backup-simplify]: Simplify (+ 1 0) into 1 2.930 * [backup-simplify]: Simplify (sqrt 1) into 1 2.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.931 * [backup-simplify]: Simplify (+ 0 0) into 0 2.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.932 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.932 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.932 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.932 * [taylor]: Taking taylor expansion of im in re 2.932 * [backup-simplify]: Simplify im into im 2.932 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.932 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.932 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.932 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.932 * [taylor]: Taking taylor expansion of re in re 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify 1 into 1 2.933 * [backup-simplify]: Simplify (* 1 1) into 1 2.933 * [backup-simplify]: Simplify (/ 1 1) into 1 2.934 * [backup-simplify]: Simplify (+ 0 1) into 1 2.934 * [backup-simplify]: Simplify (sqrt 1) into 1 2.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.935 * [backup-simplify]: Simplify (+ 0 0) into 0 2.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.936 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.936 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.936 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.936 * [taylor]: Taking taylor expansion of im in re 2.936 * [backup-simplify]: Simplify im into im 2.936 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.936 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.936 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.936 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.936 * [taylor]: Taking taylor expansion of re in re 2.936 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify 1 into 1 2.937 * [backup-simplify]: Simplify (* 1 1) into 1 2.937 * [backup-simplify]: Simplify (/ 1 1) into 1 2.938 * [backup-simplify]: Simplify (+ 0 1) into 1 2.938 * [backup-simplify]: Simplify (sqrt 1) into 1 2.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.939 * [backup-simplify]: Simplify (+ 0 0) into 0 2.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.940 * [taylor]: Taking taylor expansion of 1 in im 2.940 * [backup-simplify]: Simplify 1 into 1 2.940 * [taylor]: Taking taylor expansion of 0 in im 2.940 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify 1 into 1 2.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.942 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.943 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.943 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.943 * [taylor]: Taking taylor expansion of 1/2 in im 2.943 * [backup-simplify]: Simplify 1/2 into 1/2 2.943 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.943 * [taylor]: Taking taylor expansion of im in im 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 1 into 1 2.944 * [backup-simplify]: Simplify (* 1 1) into 1 2.944 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.948 * [backup-simplify]: Simplify (+ 0 0) into 0 2.948 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.948 * [taylor]: Taking taylor expansion of 0 in im 2.948 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.950 * [backup-simplify]: Simplify 0 into 0 2.950 * [backup-simplify]: Simplify 0 into 0 2.950 * [backup-simplify]: Simplify 0 into 0 2.950 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.950 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.950 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.950 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.951 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.951 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.951 * [taylor]: Taking taylor expansion of im in im 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify 1 into 1 2.951 * [backup-simplify]: Simplify (* 1 1) into 1 2.951 * [backup-simplify]: Simplify (/ 1 1) into 1 2.951 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.951 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.951 * [taylor]: Taking taylor expansion of re in im 2.951 * [backup-simplify]: Simplify re into re 2.951 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.952 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.952 * [backup-simplify]: Simplify (+ 1 0) into 1 2.952 * [backup-simplify]: Simplify (sqrt 1) into 1 2.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.954 * [backup-simplify]: Simplify (+ 0 0) into 0 2.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.954 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.955 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.955 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.955 * [taylor]: Taking taylor expansion of im in re 2.955 * [backup-simplify]: Simplify im into im 2.955 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.955 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.955 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.955 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.955 * [taylor]: Taking taylor expansion of re in re 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 1 into 1 2.955 * [backup-simplify]: Simplify (* 1 1) into 1 2.956 * [backup-simplify]: Simplify (/ 1 1) into 1 2.956 * [backup-simplify]: Simplify (+ 0 1) into 1 2.956 * [backup-simplify]: Simplify (sqrt 1) into 1 2.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.958 * [backup-simplify]: Simplify (+ 0 0) into 0 2.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.958 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.959 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.959 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.959 * [taylor]: Taking taylor expansion of im in re 2.959 * [backup-simplify]: Simplify im into im 2.959 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.959 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.959 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.959 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.959 * [taylor]: Taking taylor expansion of re in re 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify 1 into 1 2.959 * [backup-simplify]: Simplify (* 1 1) into 1 2.960 * [backup-simplify]: Simplify (/ 1 1) into 1 2.960 * [backup-simplify]: Simplify (+ 0 1) into 1 2.960 * [backup-simplify]: Simplify (sqrt 1) into 1 2.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.962 * [backup-simplify]: Simplify (+ 0 0) into 0 2.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.969 * [taylor]: Taking taylor expansion of 1 in im 2.969 * [backup-simplify]: Simplify 1 into 1 2.969 * [taylor]: Taking taylor expansion of 0 in im 2.969 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify 1 into 1 2.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.971 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.973 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.973 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.973 * [taylor]: Taking taylor expansion of 1/2 in im 2.973 * [backup-simplify]: Simplify 1/2 into 1/2 2.973 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.973 * [taylor]: Taking taylor expansion of im in im 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.973 * [backup-simplify]: Simplify (* 1 1) into 1 2.974 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.977 * [backup-simplify]: Simplify (+ 0 0) into 0 2.978 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.978 * [taylor]: Taking taylor expansion of 0 in im 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 0 into 0 2.980 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.980 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.980 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* re re) (* im im)))) into (pow (+ (pow re 2) (pow im 2)) 1/6) 2.980 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/6) in (re im) around 0 2.980 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/6) in im 2.980 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow re 2) (pow im 2))))) in im 2.980 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow re 2) (pow im 2)))) in im 2.980 * [taylor]: Taking taylor expansion of 1/6 in im 2.980 * [backup-simplify]: Simplify 1/6 into 1/6 2.980 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 2.980 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.980 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.980 * [taylor]: Taking taylor expansion of re in im 2.980 * [backup-simplify]: Simplify re into re 2.980 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.980 * [taylor]: Taking taylor expansion of im in im 2.980 * [backup-simplify]: Simplify 0 into 0 2.980 * [backup-simplify]: Simplify 1 into 1 2.980 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.981 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.981 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 2.981 * [backup-simplify]: Simplify (* 1/6 (log (pow re 2))) into (* 1/6 (log (pow re 2))) 2.981 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow re 2)))) into (pow (pow re 2) 1/6) 2.981 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/6) in re 2.981 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow re 2) (pow im 2))))) in re 2.981 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow re 2) (pow im 2)))) in re 2.981 * [taylor]: Taking taylor expansion of 1/6 in re 2.981 * [backup-simplify]: Simplify 1/6 into 1/6 2.981 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 2.981 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.981 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.981 * [taylor]: Taking taylor expansion of re in re 2.981 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify 1 into 1 2.981 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.981 * [taylor]: Taking taylor expansion of im in re 2.981 * [backup-simplify]: Simplify im into im 2.981 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.982 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.982 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 2.982 * [backup-simplify]: Simplify (* 1/6 (log (pow im 2))) into (* 1/6 (log (pow im 2))) 2.982 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow im 2)))) into (pow (pow im 2) 1/6) 2.982 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/6) in re 2.982 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow re 2) (pow im 2))))) in re 2.982 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow re 2) (pow im 2)))) in re 2.982 * [taylor]: Taking taylor expansion of 1/6 in re 2.982 * [backup-simplify]: Simplify 1/6 into 1/6 2.982 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 2.982 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.982 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.982 * [taylor]: Taking taylor expansion of re in re 2.982 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify 1 into 1 2.982 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.982 * [taylor]: Taking taylor expansion of im in re 2.982 * [backup-simplify]: Simplify im into im 2.982 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.982 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.983 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 2.983 * [backup-simplify]: Simplify (* 1/6 (log (pow im 2))) into (* 1/6 (log (pow im 2))) 2.983 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow im 2)))) into (pow (pow im 2) 1/6) 2.983 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/6) in im 2.983 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (pow im 2)))) in im 2.983 * [taylor]: Taking taylor expansion of (* 1/6 (log (pow im 2))) in im 2.983 * [taylor]: Taking taylor expansion of 1/6 in im 2.983 * [backup-simplify]: Simplify 1/6 into 1/6 2.983 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 2.983 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.983 * [taylor]: Taking taylor expansion of im in im 2.983 * [backup-simplify]: Simplify 0 into 0 2.983 * [backup-simplify]: Simplify 1 into 1 2.984 * [backup-simplify]: Simplify (* 1 1) into 1 2.984 * [backup-simplify]: Simplify (log 1) into 0 2.984 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.984 * [backup-simplify]: Simplify (* 1/6 (* 2 (log im))) into (* 1/3 (log im)) 2.984 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 2.985 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3) 2.985 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.985 * [backup-simplify]: Simplify (+ 0 0) into 0 2.986 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 2.986 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (pow im 2)))) into 0 2.987 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.987 * [taylor]: Taking taylor expansion of 0 in im 2.987 * [backup-simplify]: Simplify 0 into 0 2.987 * [backup-simplify]: Simplify 0 into 0 2.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.989 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.989 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.990 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (* 2 (log im)))) into 0 2.991 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 2.991 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify (* 1 1) into 1 2.991 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.992 * [backup-simplify]: Simplify (+ 1 0) into 1 2.993 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 2.994 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/6 (/ 1 (pow im 2))) 2.995 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 2.995 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 2.995 * [taylor]: Taking taylor expansion of 1/6 in im 2.995 * [backup-simplify]: Simplify 1/6 into 1/6 2.995 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 2.995 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 2.995 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 2.995 * [taylor]: Taking taylor expansion of 1/3 in im 2.995 * [backup-simplify]: Simplify 1/3 into 1/3 2.995 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 2.995 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 2.995 * [taylor]: Taking taylor expansion of (pow im 5) in im 2.995 * [taylor]: Taking taylor expansion of im in im 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify 1 into 1 2.996 * [backup-simplify]: Simplify (* 1 1) into 1 2.996 * [backup-simplify]: Simplify (* 1 1) into 1 2.996 * [backup-simplify]: Simplify (* 1 1) into 1 2.997 * [backup-simplify]: Simplify (/ 1 1) into 1 2.997 * [backup-simplify]: Simplify (log 1) into 0 2.997 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 2.997 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im)) 2.998 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3) 2.998 * [backup-simplify]: Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 2.998 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 2.998 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.001 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.002 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 3.002 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 3.003 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.004 * [backup-simplify]: Simplify 0 into 0 3.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.005 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.005 * [backup-simplify]: Simplify (+ 0 0) into 0 3.008 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 3.009 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 3.011 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.011 * [taylor]: Taking taylor expansion of 0 in im 3.011 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.015 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.016 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 3.016 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0 3.017 * [backup-simplify]: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 3.017 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0 3.017 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.023 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.023 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 3.025 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 3.026 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.026 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) (pow (* 1 re) 2)) (pow im 1/3)) into (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) 3.027 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) 3.027 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in (re im) around 0 3.028 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in im 3.028 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 3.028 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.028 * [taylor]: Taking taylor expansion of 1/6 in im 3.028 * [backup-simplify]: Simplify 1/6 into 1/6 3.028 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.028 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.028 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.028 * [taylor]: Taking taylor expansion of im in im 3.028 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify 1 into 1 3.028 * [backup-simplify]: Simplify (* 1 1) into 1 3.029 * [backup-simplify]: Simplify (/ 1 1) into 1 3.029 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.029 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.029 * [taylor]: Taking taylor expansion of re in im 3.029 * [backup-simplify]: Simplify re into re 3.029 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.029 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.029 * [backup-simplify]: Simplify (+ 1 0) into 1 3.030 * [backup-simplify]: Simplify (log 1) into 0 3.030 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 3.030 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log im)))) into (* -1/3 (log im)) 3.030 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 3.030 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in re 3.031 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 3.031 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.031 * [taylor]: Taking taylor expansion of 1/6 in re 3.031 * [backup-simplify]: Simplify 1/6 into 1/6 3.031 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.031 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.031 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.031 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.031 * [taylor]: Taking taylor expansion of im in re 3.031 * [backup-simplify]: Simplify im into im 3.031 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.031 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.031 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.031 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.031 * [taylor]: Taking taylor expansion of re in re 3.031 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify 1 into 1 3.031 * [backup-simplify]: Simplify (* 1 1) into 1 3.032 * [backup-simplify]: Simplify (/ 1 1) into 1 3.032 * [backup-simplify]: Simplify (+ 0 1) into 1 3.033 * [backup-simplify]: Simplify (log 1) into 0 3.033 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.033 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 3.033 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 3.033 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in re 3.033 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 3.033 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.033 * [taylor]: Taking taylor expansion of 1/6 in re 3.033 * [backup-simplify]: Simplify 1/6 into 1/6 3.033 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.033 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.034 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.034 * [taylor]: Taking taylor expansion of im in re 3.034 * [backup-simplify]: Simplify im into im 3.034 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.034 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.034 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.034 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.034 * [taylor]: Taking taylor expansion of re in re 3.034 * [backup-simplify]: Simplify 0 into 0 3.034 * [backup-simplify]: Simplify 1 into 1 3.034 * [backup-simplify]: Simplify (* 1 1) into 1 3.035 * [backup-simplify]: Simplify (/ 1 1) into 1 3.035 * [backup-simplify]: Simplify (+ 0 1) into 1 3.035 * [backup-simplify]: Simplify (log 1) into 0 3.036 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.036 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 3.036 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 3.036 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 3.036 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 3.036 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 3.036 * [taylor]: Taking taylor expansion of -1/3 in im 3.036 * [backup-simplify]: Simplify -1/3 into -1/3 3.036 * [taylor]: Taking taylor expansion of (log re) in im 3.036 * [taylor]: Taking taylor expansion of re in im 3.036 * [backup-simplify]: Simplify re into re 3.036 * [backup-simplify]: Simplify (log re) into (log re) 3.037 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 3.037 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 3.037 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 3.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.038 * [backup-simplify]: Simplify (+ 0 0) into 0 3.040 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.040 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.041 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log re))))) into 0 3.042 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 3.042 * [taylor]: Taking taylor expansion of 0 in im 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 3.043 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 3.044 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 3.044 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.045 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.047 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 3.048 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.048 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/6 (/ 1 (pow im 2))) 3.049 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 3.049 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 3.049 * [taylor]: Taking taylor expansion of 1/6 in im 3.049 * [backup-simplify]: Simplify 1/6 into 1/6 3.049 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 3.049 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 3.049 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 3.049 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 3.049 * [taylor]: Taking taylor expansion of 1/3 in im 3.049 * [backup-simplify]: Simplify 1/3 into 1/3 3.049 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 3.049 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.049 * [taylor]: Taking taylor expansion of re in im 3.050 * [backup-simplify]: Simplify re into re 3.050 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.050 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 3.050 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 3.050 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 3.050 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.050 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.050 * [taylor]: Taking taylor expansion of im in im 3.050 * [backup-simplify]: Simplify 0 into 0 3.050 * [backup-simplify]: Simplify 1 into 1 3.050 * [backup-simplify]: Simplify (* 1 1) into 1 3.051 * [backup-simplify]: Simplify (/ 1 1) into 1 3.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 3.054 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 3.055 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 3.056 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 3.057 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 3.058 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 3.059 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.060 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 3.061 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 3.061 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 3.062 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.064 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 3.064 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 3.066 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.068 * [backup-simplify]: Simplify (+ 0 0) into 0 3.071 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.072 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.073 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 3.075 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.075 * [taylor]: Taking taylor expansion of 0 in im 3.075 * [backup-simplify]: Simplify 0 into 0 3.075 * [backup-simplify]: Simplify 0 into 0 3.075 * [backup-simplify]: Simplify (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3) 3.076 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) into (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) 3.076 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in (re im) around 0 3.076 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in im 3.076 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 3.076 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.076 * [taylor]: Taking taylor expansion of 1/6 in im 3.076 * [backup-simplify]: Simplify 1/6 into 1/6 3.076 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.076 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.076 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.076 * [taylor]: Taking taylor expansion of im in im 3.076 * [backup-simplify]: Simplify 0 into 0 3.076 * [backup-simplify]: Simplify 1 into 1 3.077 * [backup-simplify]: Simplify (* 1 1) into 1 3.077 * [backup-simplify]: Simplify (/ 1 1) into 1 3.077 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.077 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.077 * [taylor]: Taking taylor expansion of re in im 3.077 * [backup-simplify]: Simplify re into re 3.077 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.077 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.078 * [backup-simplify]: Simplify (+ 1 0) into 1 3.078 * [backup-simplify]: Simplify (log 1) into 0 3.078 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 3.078 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log im)))) into (* -1/3 (log im)) 3.079 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 3.079 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in re 3.079 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 3.079 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.079 * [taylor]: Taking taylor expansion of 1/6 in re 3.079 * [backup-simplify]: Simplify 1/6 into 1/6 3.079 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.079 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.079 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.079 * [taylor]: Taking taylor expansion of im in re 3.079 * [backup-simplify]: Simplify im into im 3.079 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.079 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.079 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.079 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.079 * [taylor]: Taking taylor expansion of re in re 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify 1 into 1 3.080 * [backup-simplify]: Simplify (* 1 1) into 1 3.080 * [backup-simplify]: Simplify (/ 1 1) into 1 3.080 * [backup-simplify]: Simplify (+ 0 1) into 1 3.081 * [backup-simplify]: Simplify (log 1) into 0 3.081 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.081 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 3.081 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 3.081 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in re 3.081 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 3.081 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.081 * [taylor]: Taking taylor expansion of 1/6 in re 3.081 * [backup-simplify]: Simplify 1/6 into 1/6 3.081 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.082 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.082 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.082 * [taylor]: Taking taylor expansion of im in re 3.082 * [backup-simplify]: Simplify im into im 3.082 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.082 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.082 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.082 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.082 * [taylor]: Taking taylor expansion of re in re 3.082 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify 1 into 1 3.082 * [backup-simplify]: Simplify (* 1 1) into 1 3.083 * [backup-simplify]: Simplify (/ 1 1) into 1 3.083 * [backup-simplify]: Simplify (+ 0 1) into 1 3.083 * [backup-simplify]: Simplify (log 1) into 0 3.084 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.084 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 3.084 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 3.084 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 3.084 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 3.084 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 3.084 * [taylor]: Taking taylor expansion of -1/3 in im 3.084 * [backup-simplify]: Simplify -1/3 into -1/3 3.084 * [taylor]: Taking taylor expansion of (log re) in im 3.084 * [taylor]: Taking taylor expansion of re in im 3.084 * [backup-simplify]: Simplify re into re 3.084 * [backup-simplify]: Simplify (log re) into (log re) 3.084 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 3.085 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 3.085 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 3.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.086 * [backup-simplify]: Simplify (+ 0 0) into 0 3.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.087 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.087 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log re))))) into 0 3.088 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 3.088 * [taylor]: Taking taylor expansion of 0 in im 3.088 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 3.089 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 3.089 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 3.089 * [backup-simplify]: Simplify 0 into 0 3.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.090 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.092 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 3.092 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.092 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/6 (/ 1 (pow im 2))) 3.093 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 3.093 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 3.093 * [taylor]: Taking taylor expansion of 1/6 in im 3.093 * [backup-simplify]: Simplify 1/6 into 1/6 3.093 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 3.093 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 3.093 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 3.093 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 3.093 * [taylor]: Taking taylor expansion of 1/3 in im 3.093 * [backup-simplify]: Simplify 1/3 into 1/3 3.093 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 3.093 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.093 * [taylor]: Taking taylor expansion of re in im 3.093 * [backup-simplify]: Simplify re into re 3.093 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.093 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 3.093 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 3.093 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 3.094 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.094 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.094 * [taylor]: Taking taylor expansion of im in im 3.094 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify 1 into 1 3.094 * [backup-simplify]: Simplify (* 1 1) into 1 3.094 * [backup-simplify]: Simplify (/ 1 1) into 1 3.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 3.097 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 3.097 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 3.097 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 3.099 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 3.102 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 3.103 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.104 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 3.104 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 3.104 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 3.105 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 3.105 * [backup-simplify]: Simplify 0 into 0 3.105 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 3.107 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 3.108 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.108 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.109 * [backup-simplify]: Simplify (+ 0 0) into 0 3.111 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.112 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 3.112 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 3.114 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.114 * [taylor]: Taking taylor expansion of 0 in im 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3) 3.114 * * * [progress]: simplifying candidates 3.115 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (cbrt (sqrt (+ (* re re) (* im im))))) (exp (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (cbrt (sqrt (cbrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt 1)) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt 1) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (cbrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (sqrt (- (* re re) (* im im)))) (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) im re (* -1 re) im re (* -1 re) im re (* -1 re) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 3.116 * * [simplify]: Extracting # 0 : cost 0 3.117 * * [simplify]: Extracting # 1 : cost 0 3.117 * * [simplify]: Extracting # 2 : cost 0 3.117 * * [simplify]: Extracting # 3 : cost 0 3.117 * * [simplify]: Extracting # 4 : cost 0 3.117 * * [simplify]: Extracting # 5 : cost 0 3.117 * * [simplify]: Extracting # 6 : cost 0 3.117 * * [simplify]: Extracting # 7 : cost 0 3.117 * * [simplify]: Extracting # 8 : cost 0 3.117 * * [simplify]: Extracting # 9 : cost 0 3.117 * * [simplify]: Extracting # 10 : cost 0 3.117 * * [simplify]: Extracting # 11 : cost 0 3.117 * * [simplify]: Extracting # 12 : cost 0 3.118 * * [simplify]: Extracting # 13 : cost 0 3.118 * * [simplify]: iteration 0 : 70 enodes (cost 952 ) 3.133 * * [simplify]: Extracting # 0 : cost 0 3.134 * * [simplify]: Extracting # 1 : cost 0 3.134 * * [simplify]: Extracting # 2 : cost 0 3.134 * * [simplify]: Extracting # 3 : cost 0 3.134 * * [simplify]: Extracting # 4 : cost 0 3.134 * * [simplify]: iteration 1 : 149 enodes (cost 853 ) 3.171 * * [simplify]: Extracting # 0 : cost 0 3.171 * * [simplify]: Extracting # 1 : cost 0 3.172 * * [simplify]: Extracting # 2 : cost 0 3.172 * * [simplify]: Extracting # 3 : cost 0 3.172 * * [simplify]: Extracting # 4 : cost 0 3.173 * * [simplify]: Extracting # 5 : cost 0 3.173 * * [simplify]: iteration 2 : 323 enodes (cost 761 ) 3.267 * * [simplify]: Extracting # 0 : cost 0 3.268 * * [simplify]: Extracting # 1 : cost 0 3.268 * * [simplify]: Extracting # 2 : cost 0 3.269 * * [simplify]: Extracting # 3 : cost 0 3.270 * * [simplify]: Extracting # 4 : cost 0 3.271 * * [simplify]: iteration 3 : 693 enodes (cost 750 ) 3.549 * * [simplify]: Extracting # 0 : cost 0 3.551 * * [simplify]: Extracting # 1 : cost 0 3.558 * * [simplify]: Extracting # 2 : cost 0 3.560 * * [simplify]: Extracting # 3 : cost 0 3.562 * * [simplify]: Extracting # 4 : cost 0 3.564 * * [simplify]: iteration 4 : 1884 enodes (cost 750 ) 4.578 * * [simplify]: Extracting # 0 : cost 0 4.589 * * [simplify]: Extracting # 1 : cost 0 4.600 * * [simplify]: Extracting # 2 : cost 0 4.610 * * [simplify]: Extracting # 3 : cost 0 4.620 * * [simplify]: Extracting # 4 : cost 0 4.630 * * [simplify]: iteration done: 5000 enodes (cost 750 ) 4.631 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (cbrt (sqrt (+ (* re re) (* im im))))) (exp (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (fabs (cbrt (+ (* re re) (* im im))))) (cbrt (sqrt (cbrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 1 (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 1 (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (pow im 6) (pow re 6)))) (cbrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) (cbrt (sqrt (- (pow re 4) (pow im 4)))) (cbrt (sqrt (- (* re re) (* im im)))) (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (+ (* re re) (* im im))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) im re (- re) im re (- re) im re (- re) (+ (* 1/6 (* (* re re) (cbrt (/ 1 (pow im 5))))) (cbrt im)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 4.632 * * * [progress]: adding candidates to table 4.937 * * [progress]: iteration 3 / 4 4.937 * * * [progress]: picking best candidate 4.949 * * * * [pick]: Picked # 4.949 * * * [progress]: localizing error 4.968 * * * [progress]: generating rewritten candidates 4.969 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 4.978 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 4.991 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 5.008 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 5.018 * * * [progress]: generating series expansions 5.018 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 5.018 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 5.018 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 5.018 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.018 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.018 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.018 * [taylor]: Taking taylor expansion of re in im 5.018 * [backup-simplify]: Simplify re into re 5.018 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.018 * [taylor]: Taking taylor expansion of im in im 5.018 * [backup-simplify]: Simplify 0 into 0 5.018 * [backup-simplify]: Simplify 1 into 1 5.018 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.019 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.019 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.019 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.019 * [backup-simplify]: Simplify (+ 0 0) into 0 5.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.019 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.019 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.019 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.019 * [taylor]: Taking taylor expansion of re in re 5.019 * [backup-simplify]: Simplify 0 into 0 5.019 * [backup-simplify]: Simplify 1 into 1 5.020 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.020 * [taylor]: Taking taylor expansion of im in re 5.020 * [backup-simplify]: Simplify im into im 5.020 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.020 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.020 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.020 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.020 * [backup-simplify]: Simplify (+ 0 0) into 0 5.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.020 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.020 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.020 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.020 * [taylor]: Taking taylor expansion of re in re 5.020 * [backup-simplify]: Simplify 0 into 0 5.020 * [backup-simplify]: Simplify 1 into 1 5.020 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.020 * [taylor]: Taking taylor expansion of im in re 5.020 * [backup-simplify]: Simplify im into im 5.020 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.021 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.021 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.021 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.021 * [backup-simplify]: Simplify (+ 0 0) into 0 5.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.021 * [taylor]: Taking taylor expansion of im in im 5.021 * [backup-simplify]: Simplify 0 into 0 5.021 * [backup-simplify]: Simplify 1 into 1 5.021 * [backup-simplify]: Simplify 0 into 0 5.021 * [taylor]: Taking taylor expansion of 0 in im 5.021 * [backup-simplify]: Simplify 0 into 0 5.021 * [backup-simplify]: Simplify 0 into 0 5.021 * [backup-simplify]: Simplify 1 into 1 5.022 * [backup-simplify]: Simplify (* 1 1) into 1 5.022 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.022 * [backup-simplify]: Simplify (+ 1 0) into 1 5.023 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.023 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.023 * [taylor]: Taking taylor expansion of 1/2 in im 5.023 * [backup-simplify]: Simplify 1/2 into 1/2 5.023 * [taylor]: Taking taylor expansion of im in im 5.023 * [backup-simplify]: Simplify 0 into 0 5.023 * [backup-simplify]: Simplify 1 into 1 5.023 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.024 * [backup-simplify]: Simplify 0 into 0 5.024 * [backup-simplify]: Simplify 0 into 0 5.024 * [backup-simplify]: Simplify 0 into 0 5.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.025 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.025 * [backup-simplify]: Simplify (+ 0 0) into 0 5.025 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.025 * [taylor]: Taking taylor expansion of 0 in im 5.025 * [backup-simplify]: Simplify 0 into 0 5.025 * [backup-simplify]: Simplify 0 into 0 5.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.026 * [backup-simplify]: Simplify 0 into 0 5.026 * [backup-simplify]: Simplify 0 into 0 5.026 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.026 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.026 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.026 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.026 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.026 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.026 * [taylor]: Taking taylor expansion of im in im 5.026 * [backup-simplify]: Simplify 0 into 0 5.026 * [backup-simplify]: Simplify 1 into 1 5.027 * [backup-simplify]: Simplify (* 1 1) into 1 5.027 * [backup-simplify]: Simplify (/ 1 1) into 1 5.027 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.027 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.027 * [taylor]: Taking taylor expansion of re in im 5.027 * [backup-simplify]: Simplify re into re 5.027 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.027 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.027 * [backup-simplify]: Simplify (+ 1 0) into 1 5.028 * [backup-simplify]: Simplify (sqrt 1) into 1 5.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.029 * [backup-simplify]: Simplify (+ 0 0) into 0 5.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.029 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.029 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.029 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.029 * [taylor]: Taking taylor expansion of im in re 5.029 * [backup-simplify]: Simplify im into im 5.029 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.029 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.029 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.029 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.030 * [taylor]: Taking taylor expansion of re in re 5.030 * [backup-simplify]: Simplify 0 into 0 5.030 * [backup-simplify]: Simplify 1 into 1 5.030 * [backup-simplify]: Simplify (* 1 1) into 1 5.030 * [backup-simplify]: Simplify (/ 1 1) into 1 5.030 * [backup-simplify]: Simplify (+ 0 1) into 1 5.031 * [backup-simplify]: Simplify (sqrt 1) into 1 5.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.032 * [backup-simplify]: Simplify (+ 0 0) into 0 5.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.032 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.032 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.032 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.032 * [taylor]: Taking taylor expansion of im in re 5.032 * [backup-simplify]: Simplify im into im 5.032 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.032 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.032 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.032 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.032 * [taylor]: Taking taylor expansion of re in re 5.032 * [backup-simplify]: Simplify 0 into 0 5.032 * [backup-simplify]: Simplify 1 into 1 5.033 * [backup-simplify]: Simplify (* 1 1) into 1 5.033 * [backup-simplify]: Simplify (/ 1 1) into 1 5.033 * [backup-simplify]: Simplify (+ 0 1) into 1 5.033 * [backup-simplify]: Simplify (sqrt 1) into 1 5.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.034 * [backup-simplify]: Simplify (+ 0 0) into 0 5.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.041 * [taylor]: Taking taylor expansion of 1 in im 5.041 * [backup-simplify]: Simplify 1 into 1 5.041 * [taylor]: Taking taylor expansion of 0 in im 5.041 * [backup-simplify]: Simplify 0 into 0 5.041 * [backup-simplify]: Simplify 1 into 1 5.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.044 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.045 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.045 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.045 * [taylor]: Taking taylor expansion of 1/2 in im 5.045 * [backup-simplify]: Simplify 1/2 into 1/2 5.045 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.045 * [taylor]: Taking taylor expansion of im in im 5.046 * [backup-simplify]: Simplify 0 into 0 5.046 * [backup-simplify]: Simplify 1 into 1 5.046 * [backup-simplify]: Simplify (* 1 1) into 1 5.047 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.048 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.051 * [backup-simplify]: Simplify (+ 0 0) into 0 5.052 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.052 * [taylor]: Taking taylor expansion of 0 in im 5.052 * [backup-simplify]: Simplify 0 into 0 5.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.054 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.055 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.055 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.055 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.055 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.055 * [taylor]: Taking taylor expansion of im in im 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify 1 into 1 5.055 * [backup-simplify]: Simplify (* 1 1) into 1 5.056 * [backup-simplify]: Simplify (/ 1 1) into 1 5.056 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.056 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.056 * [taylor]: Taking taylor expansion of re in im 5.056 * [backup-simplify]: Simplify re into re 5.056 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.056 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.057 * [backup-simplify]: Simplify (+ 1 0) into 1 5.057 * [backup-simplify]: Simplify (sqrt 1) into 1 5.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.059 * [backup-simplify]: Simplify (+ 0 0) into 0 5.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.059 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.060 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.060 * [taylor]: Taking taylor expansion of im in re 5.060 * [backup-simplify]: Simplify im into im 5.060 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.060 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.060 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.060 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.060 * [taylor]: Taking taylor expansion of re in re 5.060 * [backup-simplify]: Simplify 0 into 0 5.060 * [backup-simplify]: Simplify 1 into 1 5.060 * [backup-simplify]: Simplify (* 1 1) into 1 5.061 * [backup-simplify]: Simplify (/ 1 1) into 1 5.061 * [backup-simplify]: Simplify (+ 0 1) into 1 5.062 * [backup-simplify]: Simplify (sqrt 1) into 1 5.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.063 * [backup-simplify]: Simplify (+ 0 0) into 0 5.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.064 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.064 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.064 * [taylor]: Taking taylor expansion of im in re 5.064 * [backup-simplify]: Simplify im into im 5.064 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.064 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.064 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.064 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.065 * [taylor]: Taking taylor expansion of re in re 5.065 * [backup-simplify]: Simplify 0 into 0 5.065 * [backup-simplify]: Simplify 1 into 1 5.065 * [backup-simplify]: Simplify (* 1 1) into 1 5.065 * [backup-simplify]: Simplify (/ 1 1) into 1 5.066 * [backup-simplify]: Simplify (+ 0 1) into 1 5.066 * [backup-simplify]: Simplify (sqrt 1) into 1 5.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.068 * [backup-simplify]: Simplify (+ 0 0) into 0 5.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.069 * [taylor]: Taking taylor expansion of 1 in im 5.069 * [backup-simplify]: Simplify 1 into 1 5.069 * [taylor]: Taking taylor expansion of 0 in im 5.069 * [backup-simplify]: Simplify 0 into 0 5.069 * [backup-simplify]: Simplify 1 into 1 5.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.071 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.072 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.072 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.072 * [taylor]: Taking taylor expansion of 1/2 in im 5.072 * [backup-simplify]: Simplify 1/2 into 1/2 5.072 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.072 * [taylor]: Taking taylor expansion of im in im 5.072 * [backup-simplify]: Simplify 0 into 0 5.072 * [backup-simplify]: Simplify 1 into 1 5.073 * [backup-simplify]: Simplify (* 1 1) into 1 5.073 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.075 * [backup-simplify]: Simplify 0 into 0 5.075 * [backup-simplify]: Simplify 0 into 0 5.075 * [backup-simplify]: Simplify 0 into 0 5.075 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.078 * [backup-simplify]: Simplify (+ 0 0) into 0 5.079 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.079 * [taylor]: Taking taylor expansion of 0 in im 5.079 * [backup-simplify]: Simplify 0 into 0 5.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.081 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 5.081 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 5.081 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 5.082 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.082 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.082 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.082 * [taylor]: Taking taylor expansion of re in im 5.082 * [backup-simplify]: Simplify re into re 5.082 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.082 * [taylor]: Taking taylor expansion of im in im 5.082 * [backup-simplify]: Simplify 0 into 0 5.082 * [backup-simplify]: Simplify 1 into 1 5.082 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.082 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.082 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.082 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.083 * [backup-simplify]: Simplify (+ 0 0) into 0 5.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.083 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.083 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.083 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.083 * [taylor]: Taking taylor expansion of re in re 5.083 * [backup-simplify]: Simplify 0 into 0 5.083 * [backup-simplify]: Simplify 1 into 1 5.083 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.083 * [taylor]: Taking taylor expansion of im in re 5.083 * [backup-simplify]: Simplify im into im 5.083 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.083 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.083 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.084 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.084 * [backup-simplify]: Simplify (+ 0 0) into 0 5.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.084 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.084 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.084 * [taylor]: Taking taylor expansion of re in re 5.084 * [backup-simplify]: Simplify 0 into 0 5.084 * [backup-simplify]: Simplify 1 into 1 5.084 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.084 * [taylor]: Taking taylor expansion of im in re 5.084 * [backup-simplify]: Simplify im into im 5.085 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.085 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.085 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.085 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.085 * [backup-simplify]: Simplify (+ 0 0) into 0 5.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.086 * [taylor]: Taking taylor expansion of im in im 5.086 * [backup-simplify]: Simplify 0 into 0 5.086 * [backup-simplify]: Simplify 1 into 1 5.086 * [backup-simplify]: Simplify 0 into 0 5.086 * [taylor]: Taking taylor expansion of 0 in im 5.086 * [backup-simplify]: Simplify 0 into 0 5.086 * [backup-simplify]: Simplify 0 into 0 5.086 * [backup-simplify]: Simplify 1 into 1 5.086 * [backup-simplify]: Simplify (* 1 1) into 1 5.087 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.087 * [backup-simplify]: Simplify (+ 1 0) into 1 5.088 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.088 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.088 * [taylor]: Taking taylor expansion of 1/2 in im 5.088 * [backup-simplify]: Simplify 1/2 into 1/2 5.088 * [taylor]: Taking taylor expansion of im in im 5.088 * [backup-simplify]: Simplify 0 into 0 5.088 * [backup-simplify]: Simplify 1 into 1 5.089 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.089 * [backup-simplify]: Simplify 0 into 0 5.089 * [backup-simplify]: Simplify 0 into 0 5.090 * [backup-simplify]: Simplify 0 into 0 5.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.091 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.091 * [backup-simplify]: Simplify (+ 0 0) into 0 5.092 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.092 * [taylor]: Taking taylor expansion of 0 in im 5.092 * [backup-simplify]: Simplify 0 into 0 5.092 * [backup-simplify]: Simplify 0 into 0 5.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.093 * [backup-simplify]: Simplify 0 into 0 5.093 * [backup-simplify]: Simplify 0 into 0 5.093 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.093 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.093 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.093 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.093 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.093 * [taylor]: Taking taylor expansion of im in im 5.093 * [backup-simplify]: Simplify 0 into 0 5.094 * [backup-simplify]: Simplify 1 into 1 5.094 * [backup-simplify]: Simplify (* 1 1) into 1 5.094 * [backup-simplify]: Simplify (/ 1 1) into 1 5.094 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.094 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.094 * [taylor]: Taking taylor expansion of re in im 5.094 * [backup-simplify]: Simplify re into re 5.095 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.095 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.095 * [backup-simplify]: Simplify (+ 1 0) into 1 5.096 * [backup-simplify]: Simplify (sqrt 1) into 1 5.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.098 * [backup-simplify]: Simplify (+ 0 0) into 0 5.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.098 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.098 * [taylor]: Taking taylor expansion of im in re 5.099 * [backup-simplify]: Simplify im into im 5.099 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.099 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.099 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.099 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.099 * [taylor]: Taking taylor expansion of re in re 5.099 * [backup-simplify]: Simplify 0 into 0 5.099 * [backup-simplify]: Simplify 1 into 1 5.099 * [backup-simplify]: Simplify (* 1 1) into 1 5.100 * [backup-simplify]: Simplify (/ 1 1) into 1 5.100 * [backup-simplify]: Simplify (+ 0 1) into 1 5.101 * [backup-simplify]: Simplify (sqrt 1) into 1 5.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.102 * [backup-simplify]: Simplify (+ 0 0) into 0 5.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.102 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.102 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.102 * [taylor]: Taking taylor expansion of im in re 5.102 * [backup-simplify]: Simplify im into im 5.102 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.103 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.103 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.103 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.103 * [taylor]: Taking taylor expansion of re in re 5.103 * [backup-simplify]: Simplify 0 into 0 5.103 * [backup-simplify]: Simplify 1 into 1 5.103 * [backup-simplify]: Simplify (* 1 1) into 1 5.103 * [backup-simplify]: Simplify (/ 1 1) into 1 5.103 * [backup-simplify]: Simplify (+ 0 1) into 1 5.104 * [backup-simplify]: Simplify (sqrt 1) into 1 5.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.105 * [backup-simplify]: Simplify (+ 0 0) into 0 5.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.106 * [taylor]: Taking taylor expansion of 1 in im 5.106 * [backup-simplify]: Simplify 1 into 1 5.106 * [taylor]: Taking taylor expansion of 0 in im 5.106 * [backup-simplify]: Simplify 0 into 0 5.106 * [backup-simplify]: Simplify 1 into 1 5.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.108 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.109 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.109 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.109 * [taylor]: Taking taylor expansion of 1/2 in im 5.109 * [backup-simplify]: Simplify 1/2 into 1/2 5.109 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.109 * [taylor]: Taking taylor expansion of im in im 5.109 * [backup-simplify]: Simplify 0 into 0 5.109 * [backup-simplify]: Simplify 1 into 1 5.110 * [backup-simplify]: Simplify (* 1 1) into 1 5.110 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.111 * [backup-simplify]: Simplify 0 into 0 5.112 * [backup-simplify]: Simplify 0 into 0 5.112 * [backup-simplify]: Simplify 0 into 0 5.112 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.114 * [backup-simplify]: Simplify (+ 0 0) into 0 5.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.115 * [taylor]: Taking taylor expansion of 0 in im 5.115 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.117 * [backup-simplify]: Simplify 0 into 0 5.117 * [backup-simplify]: Simplify 0 into 0 5.117 * [backup-simplify]: Simplify 0 into 0 5.117 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.117 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.117 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.117 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.117 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.117 * [taylor]: Taking taylor expansion of im in im 5.117 * [backup-simplify]: Simplify 0 into 0 5.118 * [backup-simplify]: Simplify 1 into 1 5.118 * [backup-simplify]: Simplify (* 1 1) into 1 5.118 * [backup-simplify]: Simplify (/ 1 1) into 1 5.118 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.118 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.118 * [taylor]: Taking taylor expansion of re in im 5.118 * [backup-simplify]: Simplify re into re 5.118 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.119 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.119 * [backup-simplify]: Simplify (+ 1 0) into 1 5.119 * [backup-simplify]: Simplify (sqrt 1) into 1 5.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.121 * [backup-simplify]: Simplify (+ 0 0) into 0 5.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.122 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.122 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.122 * [taylor]: Taking taylor expansion of im in re 5.122 * [backup-simplify]: Simplify im into im 5.122 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.122 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.122 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.122 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.122 * [taylor]: Taking taylor expansion of re in re 5.122 * [backup-simplify]: Simplify 0 into 0 5.122 * [backup-simplify]: Simplify 1 into 1 5.123 * [backup-simplify]: Simplify (* 1 1) into 1 5.123 * [backup-simplify]: Simplify (/ 1 1) into 1 5.123 * [backup-simplify]: Simplify (+ 0 1) into 1 5.124 * [backup-simplify]: Simplify (sqrt 1) into 1 5.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.125 * [backup-simplify]: Simplify (+ 0 0) into 0 5.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.126 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.126 * [taylor]: Taking taylor expansion of im in re 5.126 * [backup-simplify]: Simplify im into im 5.126 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.127 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.127 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.127 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.127 * [taylor]: Taking taylor expansion of re in re 5.127 * [backup-simplify]: Simplify 0 into 0 5.127 * [backup-simplify]: Simplify 1 into 1 5.127 * [backup-simplify]: Simplify (* 1 1) into 1 5.127 * [backup-simplify]: Simplify (/ 1 1) into 1 5.128 * [backup-simplify]: Simplify (+ 0 1) into 1 5.128 * [backup-simplify]: Simplify (sqrt 1) into 1 5.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.130 * [backup-simplify]: Simplify (+ 0 0) into 0 5.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.131 * [taylor]: Taking taylor expansion of 1 in im 5.131 * [backup-simplify]: Simplify 1 into 1 5.131 * [taylor]: Taking taylor expansion of 0 in im 5.131 * [backup-simplify]: Simplify 0 into 0 5.131 * [backup-simplify]: Simplify 1 into 1 5.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.133 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.134 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.134 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.134 * [taylor]: Taking taylor expansion of 1/2 in im 5.134 * [backup-simplify]: Simplify 1/2 into 1/2 5.134 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.134 * [taylor]: Taking taylor expansion of im in im 5.134 * [backup-simplify]: Simplify 0 into 0 5.134 * [backup-simplify]: Simplify 1 into 1 5.135 * [backup-simplify]: Simplify (* 1 1) into 1 5.135 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.137 * [backup-simplify]: Simplify 0 into 0 5.137 * [backup-simplify]: Simplify 0 into 0 5.137 * [backup-simplify]: Simplify 0 into 0 5.137 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.140 * [backup-simplify]: Simplify (+ 0 0) into 0 5.141 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.141 * [taylor]: Taking taylor expansion of 0 in im 5.141 * [backup-simplify]: Simplify 0 into 0 5.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.143 * [backup-simplify]: Simplify 0 into 0 5.143 * [backup-simplify]: Simplify 0 into 0 5.143 * [backup-simplify]: Simplify 0 into 0 5.143 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.143 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 5.143 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 5.143 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 5.143 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.143 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.143 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.143 * [taylor]: Taking taylor expansion of re in im 5.143 * [backup-simplify]: Simplify re into re 5.143 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.143 * [taylor]: Taking taylor expansion of im in im 5.143 * [backup-simplify]: Simplify 0 into 0 5.144 * [backup-simplify]: Simplify 1 into 1 5.144 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.144 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.144 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.144 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.144 * [backup-simplify]: Simplify (+ 0 0) into 0 5.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.145 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.145 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.145 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.145 * [taylor]: Taking taylor expansion of re in re 5.145 * [backup-simplify]: Simplify 0 into 0 5.145 * [backup-simplify]: Simplify 1 into 1 5.145 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.145 * [taylor]: Taking taylor expansion of im in re 5.145 * [backup-simplify]: Simplify im into im 5.145 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.145 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.145 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.145 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.146 * [backup-simplify]: Simplify (+ 0 0) into 0 5.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.146 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.146 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.146 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.146 * [taylor]: Taking taylor expansion of re in re 5.146 * [backup-simplify]: Simplify 0 into 0 5.146 * [backup-simplify]: Simplify 1 into 1 5.146 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.146 * [taylor]: Taking taylor expansion of im in re 5.146 * [backup-simplify]: Simplify im into im 5.146 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.146 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.146 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.147 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.147 * [backup-simplify]: Simplify (+ 0 0) into 0 5.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.147 * [taylor]: Taking taylor expansion of im in im 5.147 * [backup-simplify]: Simplify 0 into 0 5.147 * [backup-simplify]: Simplify 1 into 1 5.147 * [backup-simplify]: Simplify 0 into 0 5.147 * [taylor]: Taking taylor expansion of 0 in im 5.147 * [backup-simplify]: Simplify 0 into 0 5.147 * [backup-simplify]: Simplify 0 into 0 5.147 * [backup-simplify]: Simplify 1 into 1 5.148 * [backup-simplify]: Simplify (* 1 1) into 1 5.148 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.149 * [backup-simplify]: Simplify (+ 1 0) into 1 5.149 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.149 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.149 * [taylor]: Taking taylor expansion of 1/2 in im 5.149 * [backup-simplify]: Simplify 1/2 into 1/2 5.149 * [taylor]: Taking taylor expansion of im in im 5.149 * [backup-simplify]: Simplify 0 into 0 5.150 * [backup-simplify]: Simplify 1 into 1 5.150 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.151 * [backup-simplify]: Simplify 0 into 0 5.151 * [backup-simplify]: Simplify 0 into 0 5.151 * [backup-simplify]: Simplify 0 into 0 5.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.152 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.153 * [backup-simplify]: Simplify (+ 0 0) into 0 5.153 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.153 * [taylor]: Taking taylor expansion of 0 in im 5.153 * [backup-simplify]: Simplify 0 into 0 5.153 * [backup-simplify]: Simplify 0 into 0 5.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.154 * [backup-simplify]: Simplify 0 into 0 5.154 * [backup-simplify]: Simplify 0 into 0 5.154 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.154 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.154 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.154 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.154 * [taylor]: Taking taylor expansion of im in im 5.154 * [backup-simplify]: Simplify 0 into 0 5.155 * [backup-simplify]: Simplify 1 into 1 5.155 * [backup-simplify]: Simplify (* 1 1) into 1 5.155 * [backup-simplify]: Simplify (/ 1 1) into 1 5.155 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.155 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.155 * [taylor]: Taking taylor expansion of re in im 5.155 * [backup-simplify]: Simplify re into re 5.155 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.156 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.156 * [backup-simplify]: Simplify (+ 1 0) into 1 5.156 * [backup-simplify]: Simplify (sqrt 1) into 1 5.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.158 * [backup-simplify]: Simplify (+ 0 0) into 0 5.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.159 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.159 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.159 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.159 * [taylor]: Taking taylor expansion of im in re 5.159 * [backup-simplify]: Simplify im into im 5.159 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.159 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.159 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.159 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.159 * [taylor]: Taking taylor expansion of re in re 5.159 * [backup-simplify]: Simplify 0 into 0 5.159 * [backup-simplify]: Simplify 1 into 1 5.160 * [backup-simplify]: Simplify (* 1 1) into 1 5.160 * [backup-simplify]: Simplify (/ 1 1) into 1 5.160 * [backup-simplify]: Simplify (+ 0 1) into 1 5.161 * [backup-simplify]: Simplify (sqrt 1) into 1 5.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.162 * [backup-simplify]: Simplify (+ 0 0) into 0 5.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.163 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.163 * [taylor]: Taking taylor expansion of im in re 5.163 * [backup-simplify]: Simplify im into im 5.163 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.164 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.164 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.164 * [taylor]: Taking taylor expansion of re in re 5.164 * [backup-simplify]: Simplify 0 into 0 5.164 * [backup-simplify]: Simplify 1 into 1 5.164 * [backup-simplify]: Simplify (* 1 1) into 1 5.164 * [backup-simplify]: Simplify (/ 1 1) into 1 5.165 * [backup-simplify]: Simplify (+ 0 1) into 1 5.165 * [backup-simplify]: Simplify (sqrt 1) into 1 5.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.167 * [backup-simplify]: Simplify (+ 0 0) into 0 5.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.168 * [taylor]: Taking taylor expansion of 1 in im 5.168 * [backup-simplify]: Simplify 1 into 1 5.168 * [taylor]: Taking taylor expansion of 0 in im 5.168 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify 1 into 1 5.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.170 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.171 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.172 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.172 * [taylor]: Taking taylor expansion of 1/2 in im 5.172 * [backup-simplify]: Simplify 1/2 into 1/2 5.172 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.172 * [taylor]: Taking taylor expansion of im in im 5.172 * [backup-simplify]: Simplify 0 into 0 5.172 * [backup-simplify]: Simplify 1 into 1 5.172 * [backup-simplify]: Simplify (* 1 1) into 1 5.173 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.174 * [backup-simplify]: Simplify 0 into 0 5.174 * [backup-simplify]: Simplify 0 into 0 5.174 * [backup-simplify]: Simplify 0 into 0 5.174 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.177 * [backup-simplify]: Simplify (+ 0 0) into 0 5.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.178 * [taylor]: Taking taylor expansion of 0 in im 5.178 * [backup-simplify]: Simplify 0 into 0 5.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.180 * [backup-simplify]: Simplify 0 into 0 5.180 * [backup-simplify]: Simplify 0 into 0 5.180 * [backup-simplify]: Simplify 0 into 0 5.180 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.180 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.180 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.180 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.180 * [taylor]: Taking taylor expansion of im in im 5.180 * [backup-simplify]: Simplify 0 into 0 5.180 * [backup-simplify]: Simplify 1 into 1 5.181 * [backup-simplify]: Simplify (* 1 1) into 1 5.181 * [backup-simplify]: Simplify (/ 1 1) into 1 5.181 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.181 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.181 * [taylor]: Taking taylor expansion of re in im 5.181 * [backup-simplify]: Simplify re into re 5.181 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.182 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.182 * [backup-simplify]: Simplify (+ 1 0) into 1 5.182 * [backup-simplify]: Simplify (sqrt 1) into 1 5.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.184 * [backup-simplify]: Simplify (+ 0 0) into 0 5.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.185 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.185 * [taylor]: Taking taylor expansion of im in re 5.185 * [backup-simplify]: Simplify im into im 5.185 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.185 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.185 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.185 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.185 * [taylor]: Taking taylor expansion of re in re 5.185 * [backup-simplify]: Simplify 0 into 0 5.185 * [backup-simplify]: Simplify 1 into 1 5.186 * [backup-simplify]: Simplify (* 1 1) into 1 5.186 * [backup-simplify]: Simplify (/ 1 1) into 1 5.186 * [backup-simplify]: Simplify (+ 0 1) into 1 5.187 * [backup-simplify]: Simplify (sqrt 1) into 1 5.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.188 * [backup-simplify]: Simplify (+ 0 0) into 0 5.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.195 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.195 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.195 * [taylor]: Taking taylor expansion of im in re 5.195 * [backup-simplify]: Simplify im into im 5.195 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.195 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.195 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.195 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.195 * [taylor]: Taking taylor expansion of re in re 5.195 * [backup-simplify]: Simplify 0 into 0 5.195 * [backup-simplify]: Simplify 1 into 1 5.196 * [backup-simplify]: Simplify (* 1 1) into 1 5.196 * [backup-simplify]: Simplify (/ 1 1) into 1 5.196 * [backup-simplify]: Simplify (+ 0 1) into 1 5.197 * [backup-simplify]: Simplify (sqrt 1) into 1 5.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.198 * [backup-simplify]: Simplify (+ 0 0) into 0 5.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.198 * [taylor]: Taking taylor expansion of 1 in im 5.198 * [backup-simplify]: Simplify 1 into 1 5.198 * [taylor]: Taking taylor expansion of 0 in im 5.198 * [backup-simplify]: Simplify 0 into 0 5.198 * [backup-simplify]: Simplify 1 into 1 5.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.199 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.200 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.200 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.200 * [taylor]: Taking taylor expansion of 1/2 in im 5.200 * [backup-simplify]: Simplify 1/2 into 1/2 5.200 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.200 * [taylor]: Taking taylor expansion of im in im 5.200 * [backup-simplify]: Simplify 0 into 0 5.200 * [backup-simplify]: Simplify 1 into 1 5.201 * [backup-simplify]: Simplify (* 1 1) into 1 5.201 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.202 * [backup-simplify]: Simplify 0 into 0 5.202 * [backup-simplify]: Simplify 0 into 0 5.202 * [backup-simplify]: Simplify 0 into 0 5.202 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.204 * [backup-simplify]: Simplify (+ 0 0) into 0 5.204 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.204 * [taylor]: Taking taylor expansion of 0 in im 5.204 * [backup-simplify]: Simplify 0 into 0 5.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.206 * [backup-simplify]: Simplify 0 into 0 5.206 * [backup-simplify]: Simplify 0 into 0 5.206 * [backup-simplify]: Simplify 0 into 0 5.206 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.207 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 5.207 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 5.207 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 5.207 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.207 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.207 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.207 * [taylor]: Taking taylor expansion of re in im 5.207 * [backup-simplify]: Simplify re into re 5.207 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.207 * [taylor]: Taking taylor expansion of im in im 5.207 * [backup-simplify]: Simplify 0 into 0 5.207 * [backup-simplify]: Simplify 1 into 1 5.208 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.208 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.208 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.208 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.208 * [backup-simplify]: Simplify (+ 0 0) into 0 5.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.208 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.209 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.209 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.209 * [taylor]: Taking taylor expansion of re in re 5.209 * [backup-simplify]: Simplify 0 into 0 5.209 * [backup-simplify]: Simplify 1 into 1 5.209 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.209 * [taylor]: Taking taylor expansion of im in re 5.209 * [backup-simplify]: Simplify im into im 5.209 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.209 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.209 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.209 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.210 * [backup-simplify]: Simplify (+ 0 0) into 0 5.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.210 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.210 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.210 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.210 * [taylor]: Taking taylor expansion of re in re 5.210 * [backup-simplify]: Simplify 0 into 0 5.210 * [backup-simplify]: Simplify 1 into 1 5.210 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.210 * [taylor]: Taking taylor expansion of im in re 5.210 * [backup-simplify]: Simplify im into im 5.210 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.210 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.210 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.210 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.211 * [backup-simplify]: Simplify (+ 0 0) into 0 5.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.211 * [taylor]: Taking taylor expansion of im in im 5.211 * [backup-simplify]: Simplify 0 into 0 5.211 * [backup-simplify]: Simplify 1 into 1 5.211 * [backup-simplify]: Simplify 0 into 0 5.211 * [taylor]: Taking taylor expansion of 0 in im 5.211 * [backup-simplify]: Simplify 0 into 0 5.211 * [backup-simplify]: Simplify 0 into 0 5.211 * [backup-simplify]: Simplify 1 into 1 5.212 * [backup-simplify]: Simplify (* 1 1) into 1 5.212 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.212 * [backup-simplify]: Simplify (+ 1 0) into 1 5.213 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.213 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.213 * [taylor]: Taking taylor expansion of 1/2 in im 5.213 * [backup-simplify]: Simplify 1/2 into 1/2 5.213 * [taylor]: Taking taylor expansion of im in im 5.213 * [backup-simplify]: Simplify 0 into 0 5.213 * [backup-simplify]: Simplify 1 into 1 5.214 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.215 * [backup-simplify]: Simplify 0 into 0 5.215 * [backup-simplify]: Simplify 0 into 0 5.215 * [backup-simplify]: Simplify 0 into 0 5.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.216 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.217 * [backup-simplify]: Simplify (+ 0 0) into 0 5.217 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.217 * [taylor]: Taking taylor expansion of 0 in im 5.217 * [backup-simplify]: Simplify 0 into 0 5.217 * [backup-simplify]: Simplify 0 into 0 5.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.218 * [backup-simplify]: Simplify 0 into 0 5.218 * [backup-simplify]: Simplify 0 into 0 5.218 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.219 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.219 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.219 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.219 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.219 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.219 * [taylor]: Taking taylor expansion of im in im 5.219 * [backup-simplify]: Simplify 0 into 0 5.219 * [backup-simplify]: Simplify 1 into 1 5.219 * [backup-simplify]: Simplify (* 1 1) into 1 5.219 * [backup-simplify]: Simplify (/ 1 1) into 1 5.219 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.219 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.219 * [taylor]: Taking taylor expansion of re in im 5.219 * [backup-simplify]: Simplify re into re 5.219 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.220 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.220 * [backup-simplify]: Simplify (+ 1 0) into 1 5.220 * [backup-simplify]: Simplify (sqrt 1) into 1 5.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.222 * [backup-simplify]: Simplify (+ 0 0) into 0 5.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.223 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.223 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.223 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.223 * [taylor]: Taking taylor expansion of im in re 5.223 * [backup-simplify]: Simplify im into im 5.223 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.223 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.223 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.223 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.223 * [taylor]: Taking taylor expansion of re in re 5.223 * [backup-simplify]: Simplify 0 into 0 5.223 * [backup-simplify]: Simplify 1 into 1 5.223 * [backup-simplify]: Simplify (* 1 1) into 1 5.224 * [backup-simplify]: Simplify (/ 1 1) into 1 5.224 * [backup-simplify]: Simplify (+ 0 1) into 1 5.225 * [backup-simplify]: Simplify (sqrt 1) into 1 5.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.226 * [backup-simplify]: Simplify (+ 0 0) into 0 5.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.227 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.227 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.227 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.227 * [taylor]: Taking taylor expansion of im in re 5.227 * [backup-simplify]: Simplify im into im 5.227 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.227 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.227 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.227 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.227 * [taylor]: Taking taylor expansion of re in re 5.227 * [backup-simplify]: Simplify 0 into 0 5.227 * [backup-simplify]: Simplify 1 into 1 5.228 * [backup-simplify]: Simplify (* 1 1) into 1 5.228 * [backup-simplify]: Simplify (/ 1 1) into 1 5.229 * [backup-simplify]: Simplify (+ 0 1) into 1 5.229 * [backup-simplify]: Simplify (sqrt 1) into 1 5.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.231 * [backup-simplify]: Simplify (+ 0 0) into 0 5.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.231 * [taylor]: Taking taylor expansion of 1 in im 5.231 * [backup-simplify]: Simplify 1 into 1 5.231 * [taylor]: Taking taylor expansion of 0 in im 5.231 * [backup-simplify]: Simplify 0 into 0 5.232 * [backup-simplify]: Simplify 1 into 1 5.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.234 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.235 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.235 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.235 * [taylor]: Taking taylor expansion of 1/2 in im 5.235 * [backup-simplify]: Simplify 1/2 into 1/2 5.235 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.235 * [taylor]: Taking taylor expansion of im in im 5.235 * [backup-simplify]: Simplify 0 into 0 5.235 * [backup-simplify]: Simplify 1 into 1 5.236 * [backup-simplify]: Simplify (* 1 1) into 1 5.236 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.237 * [backup-simplify]: Simplify 0 into 0 5.237 * [backup-simplify]: Simplify 0 into 0 5.237 * [backup-simplify]: Simplify 0 into 0 5.238 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.240 * [backup-simplify]: Simplify (+ 0 0) into 0 5.241 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.241 * [taylor]: Taking taylor expansion of 0 in im 5.241 * [backup-simplify]: Simplify 0 into 0 5.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.243 * [backup-simplify]: Simplify 0 into 0 5.243 * [backup-simplify]: Simplify 0 into 0 5.243 * [backup-simplify]: Simplify 0 into 0 5.243 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.243 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.243 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.243 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.243 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.243 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.244 * [taylor]: Taking taylor expansion of im in im 5.244 * [backup-simplify]: Simplify 0 into 0 5.244 * [backup-simplify]: Simplify 1 into 1 5.244 * [backup-simplify]: Simplify (* 1 1) into 1 5.244 * [backup-simplify]: Simplify (/ 1 1) into 1 5.244 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.244 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.244 * [taylor]: Taking taylor expansion of re in im 5.244 * [backup-simplify]: Simplify re into re 5.244 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.245 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.245 * [backup-simplify]: Simplify (+ 1 0) into 1 5.245 * [backup-simplify]: Simplify (sqrt 1) into 1 5.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.247 * [backup-simplify]: Simplify (+ 0 0) into 0 5.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.248 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.248 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.248 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.248 * [taylor]: Taking taylor expansion of im in re 5.248 * [backup-simplify]: Simplify im into im 5.248 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.248 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.249 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.249 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.249 * [taylor]: Taking taylor expansion of re in re 5.249 * [backup-simplify]: Simplify 0 into 0 5.249 * [backup-simplify]: Simplify 1 into 1 5.249 * [backup-simplify]: Simplify (* 1 1) into 1 5.249 * [backup-simplify]: Simplify (/ 1 1) into 1 5.250 * [backup-simplify]: Simplify (+ 0 1) into 1 5.250 * [backup-simplify]: Simplify (sqrt 1) into 1 5.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.252 * [backup-simplify]: Simplify (+ 0 0) into 0 5.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.252 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.252 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.252 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.253 * [taylor]: Taking taylor expansion of im in re 5.253 * [backup-simplify]: Simplify im into im 5.253 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.253 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.253 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.253 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.253 * [taylor]: Taking taylor expansion of re in re 5.253 * [backup-simplify]: Simplify 0 into 0 5.253 * [backup-simplify]: Simplify 1 into 1 5.253 * [backup-simplify]: Simplify (* 1 1) into 1 5.254 * [backup-simplify]: Simplify (/ 1 1) into 1 5.254 * [backup-simplify]: Simplify (+ 0 1) into 1 5.254 * [backup-simplify]: Simplify (sqrt 1) into 1 5.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.256 * [backup-simplify]: Simplify (+ 0 0) into 0 5.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.257 * [taylor]: Taking taylor expansion of 1 in im 5.257 * [backup-simplify]: Simplify 1 into 1 5.257 * [taylor]: Taking taylor expansion of 0 in im 5.257 * [backup-simplify]: Simplify 0 into 0 5.257 * [backup-simplify]: Simplify 1 into 1 5.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.259 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.260 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.260 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.260 * [taylor]: Taking taylor expansion of 1/2 in im 5.260 * [backup-simplify]: Simplify 1/2 into 1/2 5.260 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.260 * [taylor]: Taking taylor expansion of im in im 5.260 * [backup-simplify]: Simplify 0 into 0 5.260 * [backup-simplify]: Simplify 1 into 1 5.261 * [backup-simplify]: Simplify (* 1 1) into 1 5.261 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.263 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.265 * [backup-simplify]: Simplify (+ 0 0) into 0 5.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.266 * [taylor]: Taking taylor expansion of 0 in im 5.266 * [backup-simplify]: Simplify 0 into 0 5.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.268 * [backup-simplify]: Simplify 0 into 0 5.268 * [backup-simplify]: Simplify 0 into 0 5.268 * [backup-simplify]: Simplify 0 into 0 5.268 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.268 * * * [progress]: simplifying candidates 5.270 * [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) 5.271 * * [simplify]: Extracting # 0 : cost 0 5.271 * * [simplify]: Extracting # 1 : cost 0 5.271 * * [simplify]: Extracting # 2 : cost 0 5.271 * * [simplify]: Extracting # 3 : cost 0 5.271 * * [simplify]: Extracting # 4 : cost 0 5.271 * * [simplify]: Extracting # 5 : cost 0 5.271 * * [simplify]: Extracting # 6 : cost 0 5.272 * * [simplify]: iteration 0 : 38 enodes (cost 852 ) 5.284 * * [simplify]: Extracting # 0 : cost 0 5.284 * * [simplify]: Extracting # 1 : cost 0 5.284 * * [simplify]: Extracting # 2 : cost 0 5.285 * * [simplify]: Extracting # 3 : cost 0 5.285 * * [simplify]: Extracting # 4 : cost 0 5.285 * * [simplify]: iteration 1 : 91 enodes (cost 744 ) 5.304 * * [simplify]: Extracting # 0 : cost 0 5.305 * * [simplify]: Extracting # 1 : cost 0 5.305 * * [simplify]: Extracting # 2 : cost 0 5.305 * * [simplify]: Extracting # 3 : cost 0 5.305 * * [simplify]: Extracting # 4 : cost 0 5.305 * * [simplify]: iteration 2 : 205 enodes (cost 680 ) 5.370 * * [simplify]: Extracting # 0 : cost 0 5.370 * * [simplify]: Extracting # 1 : cost 0 5.371 * * [simplify]: Extracting # 2 : cost 0 5.371 * * [simplify]: Extracting # 3 : cost 0 5.372 * * [simplify]: Extracting # 4 : cost 0 5.372 * * [simplify]: iteration 3 : 444 enodes (cost 656 ) 5.593 * * [simplify]: Extracting # 0 : cost 0 5.594 * * [simplify]: Extracting # 1 : cost 0 5.596 * * [simplify]: Extracting # 2 : cost 0 5.597 * * [simplify]: Extracting # 3 : cost 0 5.598 * * [simplify]: iteration 4 : 1114 enodes (cost 656 ) 6.471 * * [simplify]: Extracting # 0 : cost 0 6.477 * * [simplify]: Extracting # 1 : cost 0 6.483 * * [simplify]: Extracting # 2 : cost 0 6.496 * * [simplify]: Extracting # 3 : cost 0 6.499 * * [simplify]: Extracting # 4 : cost 0 6.502 * * [simplify]: iteration 5 : 3182 enodes (cost 656 ) 7.903 * * [simplify]: Extracting # 0 : cost 0 7.908 * * [simplify]: Extracting # 1 : cost 0 7.913 * * [simplify]: Extracting # 2 : cost 0 7.918 * * [simplify]: Extracting # 3 : cost 0 7.924 * * [simplify]: Extracting # 4 : cost 0 7.932 * * [simplify]: iteration done: 5001 enodes (cost 656 ) 7.933 * [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) 7.934 * * * [progress]: adding candidates to table 8.256 * * [progress]: iteration 4 / 4 8.256 * * * [progress]: picking best candidate 8.263 * * * * [pick]: Picked # 8.264 * * * [progress]: localizing error 8.286 * * * [progress]: generating rewritten candidates 8.286 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 8.303 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 8.319 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 8.328 * * * [progress]: generating series expansions 8.328 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 8.329 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 8.329 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 8.329 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 8.329 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 8.329 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.329 * [taylor]: Taking taylor expansion of re in im 8.329 * [backup-simplify]: Simplify re into re 8.329 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.329 * [taylor]: Taking taylor expansion of im in im 8.329 * [backup-simplify]: Simplify 0 into 0 8.329 * [backup-simplify]: Simplify 1 into 1 8.329 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.329 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.329 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.329 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.330 * [backup-simplify]: Simplify (+ 0 0) into 0 8.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.330 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 8.330 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 8.330 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.330 * [taylor]: Taking taylor expansion of re in re 8.330 * [backup-simplify]: Simplify 0 into 0 8.330 * [backup-simplify]: Simplify 1 into 1 8.330 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.330 * [taylor]: Taking taylor expansion of im in re 8.330 * [backup-simplify]: Simplify im into im 8.330 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.330 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.330 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.330 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.331 * [backup-simplify]: Simplify (+ 0 0) into 0 8.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.331 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 8.331 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 8.331 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.331 * [taylor]: Taking taylor expansion of re in re 8.331 * [backup-simplify]: Simplify 0 into 0 8.331 * [backup-simplify]: Simplify 1 into 1 8.331 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.331 * [taylor]: Taking taylor expansion of im in re 8.331 * [backup-simplify]: Simplify im into im 8.331 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.331 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.331 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.331 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.331 * [backup-simplify]: Simplify (+ 0 0) into 0 8.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.332 * [taylor]: Taking taylor expansion of im in im 8.332 * [backup-simplify]: Simplify 0 into 0 8.332 * [backup-simplify]: Simplify 1 into 1 8.332 * [backup-simplify]: Simplify 0 into 0 8.332 * [taylor]: Taking taylor expansion of 0 in im 8.332 * [backup-simplify]: Simplify 0 into 0 8.332 * [backup-simplify]: Simplify 0 into 0 8.332 * [backup-simplify]: Simplify 1 into 1 8.332 * [backup-simplify]: Simplify (* 1 1) into 1 8.332 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.333 * [backup-simplify]: Simplify (+ 1 0) into 1 8.333 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.333 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 8.333 * [taylor]: Taking taylor expansion of 1/2 in im 8.333 * [backup-simplify]: Simplify 1/2 into 1/2 8.333 * [taylor]: Taking taylor expansion of im in im 8.333 * [backup-simplify]: Simplify 0 into 0 8.333 * [backup-simplify]: Simplify 1 into 1 8.334 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.334 * [backup-simplify]: Simplify 0 into 0 8.334 * [backup-simplify]: Simplify 0 into 0 8.334 * [backup-simplify]: Simplify 0 into 0 8.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.335 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.335 * [backup-simplify]: Simplify (+ 0 0) into 0 8.335 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.335 * [taylor]: Taking taylor expansion of 0 in im 8.336 * [backup-simplify]: Simplify 0 into 0 8.336 * [backup-simplify]: Simplify 0 into 0 8.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.336 * [backup-simplify]: Simplify 0 into 0 8.336 * [backup-simplify]: Simplify 0 into 0 8.336 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 8.337 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 8.337 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 8.337 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.337 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.337 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.337 * [taylor]: Taking taylor expansion of im in im 8.337 * [backup-simplify]: Simplify 0 into 0 8.337 * [backup-simplify]: Simplify 1 into 1 8.337 * [backup-simplify]: Simplify (* 1 1) into 1 8.337 * [backup-simplify]: Simplify (/ 1 1) into 1 8.337 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.337 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.337 * [taylor]: Taking taylor expansion of re in im 8.337 * [backup-simplify]: Simplify re into re 8.337 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.337 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.338 * [backup-simplify]: Simplify (+ 1 0) into 1 8.338 * [backup-simplify]: Simplify (sqrt 1) into 1 8.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.339 * [backup-simplify]: Simplify (+ 0 0) into 0 8.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.340 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.340 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.340 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.340 * [taylor]: Taking taylor expansion of im in re 8.340 * [backup-simplify]: Simplify im into im 8.340 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.340 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.340 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.340 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.340 * [taylor]: Taking taylor expansion of re in re 8.340 * [backup-simplify]: Simplify 0 into 0 8.340 * [backup-simplify]: Simplify 1 into 1 8.340 * [backup-simplify]: Simplify (* 1 1) into 1 8.340 * [backup-simplify]: Simplify (/ 1 1) into 1 8.341 * [backup-simplify]: Simplify (+ 0 1) into 1 8.341 * [backup-simplify]: Simplify (sqrt 1) into 1 8.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.348 * [backup-simplify]: Simplify (+ 0 0) into 0 8.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.349 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.349 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.349 * [taylor]: Taking taylor expansion of im in re 8.349 * [backup-simplify]: Simplify im into im 8.349 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.350 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.350 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.350 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.350 * [taylor]: Taking taylor expansion of re in re 8.350 * [backup-simplify]: Simplify 0 into 0 8.350 * [backup-simplify]: Simplify 1 into 1 8.350 * [backup-simplify]: Simplify (* 1 1) into 1 8.350 * [backup-simplify]: Simplify (/ 1 1) into 1 8.351 * [backup-simplify]: Simplify (+ 0 1) into 1 8.351 * [backup-simplify]: Simplify (sqrt 1) into 1 8.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.353 * [backup-simplify]: Simplify (+ 0 0) into 0 8.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.354 * [taylor]: Taking taylor expansion of 1 in im 8.354 * [backup-simplify]: Simplify 1 into 1 8.354 * [taylor]: Taking taylor expansion of 0 in im 8.354 * [backup-simplify]: Simplify 0 into 0 8.354 * [backup-simplify]: Simplify 1 into 1 8.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.356 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 8.358 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.358 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.358 * [taylor]: Taking taylor expansion of 1/2 in im 8.358 * [backup-simplify]: Simplify 1/2 into 1/2 8.358 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.358 * [taylor]: Taking taylor expansion of im in im 8.358 * [backup-simplify]: Simplify 0 into 0 8.358 * [backup-simplify]: Simplify 1 into 1 8.358 * [backup-simplify]: Simplify (* 1 1) into 1 8.359 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.360 * [backup-simplify]: Simplify 0 into 0 8.360 * [backup-simplify]: Simplify 0 into 0 8.360 * [backup-simplify]: Simplify 0 into 0 8.360 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.363 * [backup-simplify]: Simplify (+ 0 0) into 0 8.364 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.364 * [taylor]: Taking taylor expansion of 0 in im 8.364 * [backup-simplify]: Simplify 0 into 0 8.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.366 * [backup-simplify]: Simplify 0 into 0 8.366 * [backup-simplify]: Simplify 0 into 0 8.366 * [backup-simplify]: Simplify 0 into 0 8.366 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 8.366 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 8.366 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 8.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.366 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.366 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.366 * [taylor]: Taking taylor expansion of im in im 8.366 * [backup-simplify]: Simplify 0 into 0 8.366 * [backup-simplify]: Simplify 1 into 1 8.367 * [backup-simplify]: Simplify (* 1 1) into 1 8.367 * [backup-simplify]: Simplify (/ 1 1) into 1 8.367 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.367 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.367 * [taylor]: Taking taylor expansion of re in im 8.367 * [backup-simplify]: Simplify re into re 8.367 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.368 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.368 * [backup-simplify]: Simplify (+ 1 0) into 1 8.368 * [backup-simplify]: Simplify (sqrt 1) into 1 8.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.370 * [backup-simplify]: Simplify (+ 0 0) into 0 8.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.371 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.371 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.371 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.371 * [taylor]: Taking taylor expansion of im in re 8.371 * [backup-simplify]: Simplify im into im 8.371 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.371 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.371 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.371 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.371 * [taylor]: Taking taylor expansion of re in re 8.371 * [backup-simplify]: Simplify 0 into 0 8.371 * [backup-simplify]: Simplify 1 into 1 8.372 * [backup-simplify]: Simplify (* 1 1) into 1 8.372 * [backup-simplify]: Simplify (/ 1 1) into 1 8.373 * [backup-simplify]: Simplify (+ 0 1) into 1 8.373 * [backup-simplify]: Simplify (sqrt 1) into 1 8.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.375 * [backup-simplify]: Simplify (+ 0 0) into 0 8.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.376 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.376 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.376 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.376 * [taylor]: Taking taylor expansion of im in re 8.376 * [backup-simplify]: Simplify im into im 8.376 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.376 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.376 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.376 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.376 * [taylor]: Taking taylor expansion of re in re 8.376 * [backup-simplify]: Simplify 0 into 0 8.376 * [backup-simplify]: Simplify 1 into 1 8.377 * [backup-simplify]: Simplify (* 1 1) into 1 8.377 * [backup-simplify]: Simplify (/ 1 1) into 1 8.377 * [backup-simplify]: Simplify (+ 0 1) into 1 8.378 * [backup-simplify]: Simplify (sqrt 1) into 1 8.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.379 * [backup-simplify]: Simplify (+ 0 0) into 0 8.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.380 * [taylor]: Taking taylor expansion of 1 in im 8.380 * [backup-simplify]: Simplify 1 into 1 8.380 * [taylor]: Taking taylor expansion of 0 in im 8.380 * [backup-simplify]: Simplify 0 into 0 8.380 * [backup-simplify]: Simplify 1 into 1 8.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.382 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 8.384 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.384 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.384 * [taylor]: Taking taylor expansion of 1/2 in im 8.384 * [backup-simplify]: Simplify 1/2 into 1/2 8.384 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.384 * [taylor]: Taking taylor expansion of im in im 8.384 * [backup-simplify]: Simplify 0 into 0 8.384 * [backup-simplify]: Simplify 1 into 1 8.384 * [backup-simplify]: Simplify (* 1 1) into 1 8.385 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.386 * [backup-simplify]: Simplify 0 into 0 8.386 * [backup-simplify]: Simplify 0 into 0 8.387 * [backup-simplify]: Simplify 0 into 0 8.387 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.389 * [backup-simplify]: Simplify (+ 0 0) into 0 8.390 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.390 * [taylor]: Taking taylor expansion of 0 in im 8.390 * [backup-simplify]: Simplify 0 into 0 8.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.391 * [backup-simplify]: Simplify 0 into 0 8.391 * [backup-simplify]: Simplify 0 into 0 8.391 * [backup-simplify]: Simplify 0 into 0 8.391 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 8.391 * * * * [progress]: [ 2 / 3 ] generating series at (2) 8.392 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 8.392 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 8.392 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 8.392 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 8.392 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.392 * [taylor]: Taking taylor expansion of re in im 8.392 * [backup-simplify]: Simplify re into re 8.392 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.392 * [taylor]: Taking taylor expansion of im in im 8.392 * [backup-simplify]: Simplify 0 into 0 8.392 * [backup-simplify]: Simplify 1 into 1 8.392 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.392 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.392 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.392 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.392 * [backup-simplify]: Simplify (+ 0 0) into 0 8.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.393 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 8.393 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 8.393 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.393 * [taylor]: Taking taylor expansion of re in re 8.393 * [backup-simplify]: Simplify 0 into 0 8.393 * [backup-simplify]: Simplify 1 into 1 8.393 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.393 * [taylor]: Taking taylor expansion of im in re 8.393 * [backup-simplify]: Simplify im into im 8.393 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.393 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.393 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.393 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.393 * [backup-simplify]: Simplify (+ 0 0) into 0 8.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.393 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 8.393 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 8.393 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.393 * [taylor]: Taking taylor expansion of re in re 8.393 * [backup-simplify]: Simplify 0 into 0 8.394 * [backup-simplify]: Simplify 1 into 1 8.394 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.394 * [taylor]: Taking taylor expansion of im in re 8.394 * [backup-simplify]: Simplify im into im 8.394 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.394 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.394 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.394 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.394 * [backup-simplify]: Simplify (+ 0 0) into 0 8.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.394 * [taylor]: Taking taylor expansion of im in im 8.394 * [backup-simplify]: Simplify 0 into 0 8.394 * [backup-simplify]: Simplify 1 into 1 8.394 * [backup-simplify]: Simplify 0 into 0 8.394 * [taylor]: Taking taylor expansion of 0 in im 8.394 * [backup-simplify]: Simplify 0 into 0 8.394 * [backup-simplify]: Simplify 0 into 0 8.394 * [backup-simplify]: Simplify 1 into 1 8.395 * [backup-simplify]: Simplify (* 1 1) into 1 8.395 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.395 * [backup-simplify]: Simplify (+ 1 0) into 1 8.396 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.396 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 8.396 * [taylor]: Taking taylor expansion of 1/2 in im 8.396 * [backup-simplify]: Simplify 1/2 into 1/2 8.396 * [taylor]: Taking taylor expansion of im in im 8.396 * [backup-simplify]: Simplify 0 into 0 8.396 * [backup-simplify]: Simplify 1 into 1 8.396 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.397 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.398 * [backup-simplify]: Simplify (+ 0 0) into 0 8.398 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.398 * [taylor]: Taking taylor expansion of 0 in im 8.398 * [backup-simplify]: Simplify 0 into 0 8.398 * [backup-simplify]: Simplify 0 into 0 8.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.398 * [backup-simplify]: Simplify 0 into 0 8.399 * [backup-simplify]: Simplify 0 into 0 8.399 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 8.399 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 8.399 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 8.399 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.399 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.399 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.399 * [taylor]: Taking taylor expansion of im in im 8.399 * [backup-simplify]: Simplify 0 into 0 8.399 * [backup-simplify]: Simplify 1 into 1 8.399 * [backup-simplify]: Simplify (* 1 1) into 1 8.399 * [backup-simplify]: Simplify (/ 1 1) into 1 8.400 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.400 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.400 * [taylor]: Taking taylor expansion of re in im 8.400 * [backup-simplify]: Simplify re into re 8.400 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.400 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.400 * [backup-simplify]: Simplify (+ 1 0) into 1 8.400 * [backup-simplify]: Simplify (sqrt 1) into 1 8.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.401 * [backup-simplify]: Simplify (+ 0 0) into 0 8.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.402 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.402 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.402 * [taylor]: Taking taylor expansion of im in re 8.402 * [backup-simplify]: Simplify im into im 8.402 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.402 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.402 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.402 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.402 * [taylor]: Taking taylor expansion of re in re 8.402 * [backup-simplify]: Simplify 0 into 0 8.402 * [backup-simplify]: Simplify 1 into 1 8.402 * [backup-simplify]: Simplify (* 1 1) into 1 8.403 * [backup-simplify]: Simplify (/ 1 1) into 1 8.403 * [backup-simplify]: Simplify (+ 0 1) into 1 8.403 * [backup-simplify]: Simplify (sqrt 1) into 1 8.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.404 * [backup-simplify]: Simplify (+ 0 0) into 0 8.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.405 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.405 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.405 * [taylor]: Taking taylor expansion of im in re 8.405 * [backup-simplify]: Simplify im into im 8.405 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.405 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.405 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.405 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.405 * [taylor]: Taking taylor expansion of re in re 8.405 * [backup-simplify]: Simplify 0 into 0 8.405 * [backup-simplify]: Simplify 1 into 1 8.405 * [backup-simplify]: Simplify (* 1 1) into 1 8.406 * [backup-simplify]: Simplify (/ 1 1) into 1 8.406 * [backup-simplify]: Simplify (+ 0 1) into 1 8.406 * [backup-simplify]: Simplify (sqrt 1) into 1 8.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.407 * [backup-simplify]: Simplify (+ 0 0) into 0 8.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.408 * [taylor]: Taking taylor expansion of 1 in im 8.408 * [backup-simplify]: Simplify 1 into 1 8.408 * [taylor]: Taking taylor expansion of 0 in im 8.408 * [backup-simplify]: Simplify 0 into 0 8.408 * [backup-simplify]: Simplify 1 into 1 8.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.410 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 8.411 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.411 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.411 * [taylor]: Taking taylor expansion of 1/2 in im 8.411 * [backup-simplify]: Simplify 1/2 into 1/2 8.411 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.411 * [taylor]: Taking taylor expansion of im in im 8.411 * [backup-simplify]: Simplify 0 into 0 8.411 * [backup-simplify]: Simplify 1 into 1 8.411 * [backup-simplify]: Simplify (* 1 1) into 1 8.412 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.413 * [backup-simplify]: Simplify 0 into 0 8.413 * [backup-simplify]: Simplify 0 into 0 8.413 * [backup-simplify]: Simplify 0 into 0 8.413 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.416 * [backup-simplify]: Simplify (+ 0 0) into 0 8.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.417 * [taylor]: Taking taylor expansion of 0 in im 8.417 * [backup-simplify]: Simplify 0 into 0 8.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.418 * [backup-simplify]: Simplify 0 into 0 8.418 * [backup-simplify]: Simplify 0 into 0 8.419 * [backup-simplify]: Simplify 0 into 0 8.419 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 8.419 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 8.419 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 8.419 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.419 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.419 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.419 * [taylor]: Taking taylor expansion of im in im 8.419 * [backup-simplify]: Simplify 0 into 0 8.419 * [backup-simplify]: Simplify 1 into 1 8.420 * [backup-simplify]: Simplify (* 1 1) into 1 8.420 * [backup-simplify]: Simplify (/ 1 1) into 1 8.420 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.420 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.420 * [taylor]: Taking taylor expansion of re in im 8.420 * [backup-simplify]: Simplify re into re 8.420 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.421 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.421 * [backup-simplify]: Simplify (+ 1 0) into 1 8.421 * [backup-simplify]: Simplify (sqrt 1) into 1 8.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.423 * [backup-simplify]: Simplify (+ 0 0) into 0 8.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.424 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.424 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.424 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.424 * [taylor]: Taking taylor expansion of im in re 8.424 * [backup-simplify]: Simplify im into im 8.424 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.424 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.424 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.424 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.424 * [taylor]: Taking taylor expansion of re in re 8.424 * [backup-simplify]: Simplify 0 into 0 8.424 * [backup-simplify]: Simplify 1 into 1 8.424 * [backup-simplify]: Simplify (* 1 1) into 1 8.425 * [backup-simplify]: Simplify (/ 1 1) into 1 8.425 * [backup-simplify]: Simplify (+ 0 1) into 1 8.425 * [backup-simplify]: Simplify (sqrt 1) into 1 8.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.427 * [backup-simplify]: Simplify (+ 0 0) into 0 8.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.428 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.428 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.428 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.428 * [taylor]: Taking taylor expansion of im in re 8.428 * [backup-simplify]: Simplify im into im 8.428 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.428 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.428 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.428 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.428 * [taylor]: Taking taylor expansion of re in re 8.428 * [backup-simplify]: Simplify 0 into 0 8.428 * [backup-simplify]: Simplify 1 into 1 8.429 * [backup-simplify]: Simplify (* 1 1) into 1 8.429 * [backup-simplify]: Simplify (/ 1 1) into 1 8.429 * [backup-simplify]: Simplify (+ 0 1) into 1 8.430 * [backup-simplify]: Simplify (sqrt 1) into 1 8.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.431 * [backup-simplify]: Simplify (+ 0 0) into 0 8.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.432 * [taylor]: Taking taylor expansion of 1 in im 8.432 * [backup-simplify]: Simplify 1 into 1 8.432 * [taylor]: Taking taylor expansion of 0 in im 8.432 * [backup-simplify]: Simplify 0 into 0 8.432 * [backup-simplify]: Simplify 1 into 1 8.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.434 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 8.435 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.435 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.435 * [taylor]: Taking taylor expansion of 1/2 in im 8.435 * [backup-simplify]: Simplify 1/2 into 1/2 8.435 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.435 * [taylor]: Taking taylor expansion of im in im 8.435 * [backup-simplify]: Simplify 0 into 0 8.435 * [backup-simplify]: Simplify 1 into 1 8.436 * [backup-simplify]: Simplify (* 1 1) into 1 8.436 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.437 * [backup-simplify]: Simplify 0 into 0 8.437 * [backup-simplify]: Simplify 0 into 0 8.438 * [backup-simplify]: Simplify 0 into 0 8.438 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.440 * [backup-simplify]: Simplify (+ 0 0) into 0 8.441 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.441 * [taylor]: Taking taylor expansion of 0 in im 8.441 * [backup-simplify]: Simplify 0 into 0 8.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.442 * [backup-simplify]: Simplify 0 into 0 8.442 * [backup-simplify]: Simplify 0 into 0 8.442 * [backup-simplify]: Simplify 0 into 0 8.443 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 8.443 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 8.443 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 8.443 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 8.443 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 8.443 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.443 * [taylor]: Taking taylor expansion of re in im 8.443 * [backup-simplify]: Simplify re into re 8.443 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.443 * [taylor]: Taking taylor expansion of im in im 8.443 * [backup-simplify]: Simplify 0 into 0 8.443 * [backup-simplify]: Simplify 1 into 1 8.443 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 8.443 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.443 * [taylor]: Taking taylor expansion of re in re 8.443 * [backup-simplify]: Simplify 0 into 0 8.443 * [backup-simplify]: Simplify 1 into 1 8.443 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.443 * [taylor]: Taking taylor expansion of im in re 8.443 * [backup-simplify]: Simplify im into im 8.443 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 8.443 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.443 * [taylor]: Taking taylor expansion of re in re 8.443 * [backup-simplify]: Simplify 0 into 0 8.443 * [backup-simplify]: Simplify 1 into 1 8.444 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.444 * [taylor]: Taking taylor expansion of im in re 8.444 * [backup-simplify]: Simplify im into im 8.444 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.444 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.444 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.444 * [taylor]: Taking taylor expansion of im in im 8.444 * [backup-simplify]: Simplify 0 into 0 8.444 * [backup-simplify]: Simplify 1 into 1 8.444 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.444 * [backup-simplify]: Simplify (+ 0 0) into 0 8.444 * [taylor]: Taking taylor expansion of 0 in im 8.444 * [backup-simplify]: Simplify 0 into 0 8.444 * [backup-simplify]: Simplify 0 into 0 8.445 * [backup-simplify]: Simplify (* 1 1) into 1 8.445 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.446 * [backup-simplify]: Simplify (+ 1 0) into 1 8.446 * [taylor]: Taking taylor expansion of 1 in im 8.446 * [backup-simplify]: Simplify 1 into 1 8.446 * [backup-simplify]: Simplify 1 into 1 8.446 * [backup-simplify]: Simplify 0 into 0 8.446 * [backup-simplify]: Simplify (* 1 1) into 1 8.446 * [backup-simplify]: Simplify 1 into 1 8.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.447 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.448 * [backup-simplify]: Simplify (+ 0 0) into 0 8.448 * [taylor]: Taking taylor expansion of 0 in im 8.448 * [backup-simplify]: Simplify 0 into 0 8.448 * [backup-simplify]: Simplify 0 into 0 8.448 * [backup-simplify]: Simplify 0 into 0 8.448 * [backup-simplify]: Simplify 0 into 0 8.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.448 * [backup-simplify]: Simplify 0 into 0 8.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.450 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 8.451 * [backup-simplify]: Simplify (+ 0 0) into 0 8.451 * [taylor]: Taking taylor expansion of 0 in im 8.451 * [backup-simplify]: Simplify 0 into 0 8.451 * [backup-simplify]: Simplify 0 into 0 8.451 * [backup-simplify]: Simplify 0 into 0 8.451 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 8.451 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 8.451 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 8.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.451 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.451 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.451 * [taylor]: Taking taylor expansion of im in im 8.451 * [backup-simplify]: Simplify 0 into 0 8.451 * [backup-simplify]: Simplify 1 into 1 8.452 * [backup-simplify]: Simplify (* 1 1) into 1 8.452 * [backup-simplify]: Simplify (/ 1 1) into 1 8.452 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.452 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.452 * [taylor]: Taking taylor expansion of re in im 8.452 * [backup-simplify]: Simplify re into re 8.452 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.452 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.453 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.453 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.453 * [taylor]: Taking taylor expansion of im in re 8.453 * [backup-simplify]: Simplify im into im 8.453 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.453 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.453 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.453 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.453 * [taylor]: Taking taylor expansion of re in re 8.453 * [backup-simplify]: Simplify 0 into 0 8.453 * [backup-simplify]: Simplify 1 into 1 8.453 * [backup-simplify]: Simplify (* 1 1) into 1 8.454 * [backup-simplify]: Simplify (/ 1 1) into 1 8.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.454 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.454 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.454 * [taylor]: Taking taylor expansion of im in re 8.454 * [backup-simplify]: Simplify im into im 8.454 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.454 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.454 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.454 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.454 * [taylor]: Taking taylor expansion of re in re 8.454 * [backup-simplify]: Simplify 0 into 0 8.454 * [backup-simplify]: Simplify 1 into 1 8.454 * [backup-simplify]: Simplify (* 1 1) into 1 8.455 * [backup-simplify]: Simplify (/ 1 1) into 1 8.455 * [backup-simplify]: Simplify (+ 0 1) into 1 8.455 * [taylor]: Taking taylor expansion of 1 in im 8.455 * [backup-simplify]: Simplify 1 into 1 8.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.457 * [backup-simplify]: Simplify (+ 0 0) into 0 8.457 * [taylor]: Taking taylor expansion of 0 in im 8.457 * [backup-simplify]: Simplify 0 into 0 8.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.459 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 8.459 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.459 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.459 * [taylor]: Taking taylor expansion of im in im 8.459 * [backup-simplify]: Simplify 0 into 0 8.459 * [backup-simplify]: Simplify 1 into 1 8.459 * [backup-simplify]: Simplify (* 1 1) into 1 8.460 * [backup-simplify]: Simplify (/ 1 1) into 1 8.460 * [backup-simplify]: Simplify 1 into 1 8.460 * [backup-simplify]: Simplify 1 into 1 8.460 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.462 * [backup-simplify]: Simplify (+ 0 0) into 0 8.462 * [taylor]: Taking taylor expansion of 0 in im 8.462 * [backup-simplify]: Simplify 0 into 0 8.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.464 * [backup-simplify]: Simplify 0 into 0 8.464 * [backup-simplify]: Simplify 0 into 0 8.464 * [backup-simplify]: Simplify 0 into 0 8.464 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 8.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.467 * [backup-simplify]: Simplify (+ 0 0) into 0 8.467 * [taylor]: Taking taylor expansion of 0 in im 8.467 * [backup-simplify]: Simplify 0 into 0 8.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.468 * [backup-simplify]: Simplify 0 into 0 8.468 * [backup-simplify]: Simplify 0 into 0 8.468 * [backup-simplify]: Simplify 0 into 0 8.469 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 8.469 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 8.469 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 8.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.469 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.469 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.469 * [taylor]: Taking taylor expansion of im in im 8.469 * [backup-simplify]: Simplify 0 into 0 8.469 * [backup-simplify]: Simplify 1 into 1 8.470 * [backup-simplify]: Simplify (* 1 1) into 1 8.470 * [backup-simplify]: Simplify (/ 1 1) into 1 8.470 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.470 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.470 * [taylor]: Taking taylor expansion of re in im 8.470 * [backup-simplify]: Simplify re into re 8.470 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.470 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.470 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.470 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.470 * [taylor]: Taking taylor expansion of im in re 8.470 * [backup-simplify]: Simplify im into im 8.471 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.471 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.471 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.471 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.471 * [taylor]: Taking taylor expansion of re in re 8.471 * [backup-simplify]: Simplify 0 into 0 8.471 * [backup-simplify]: Simplify 1 into 1 8.471 * [backup-simplify]: Simplify (* 1 1) into 1 8.471 * [backup-simplify]: Simplify (/ 1 1) into 1 8.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.472 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.472 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.472 * [taylor]: Taking taylor expansion of im in re 8.472 * [backup-simplify]: Simplify im into im 8.472 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.472 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.472 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.472 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.472 * [taylor]: Taking taylor expansion of re in re 8.472 * [backup-simplify]: Simplify 0 into 0 8.472 * [backup-simplify]: Simplify 1 into 1 8.472 * [backup-simplify]: Simplify (* 1 1) into 1 8.473 * [backup-simplify]: Simplify (/ 1 1) into 1 8.473 * [backup-simplify]: Simplify (+ 0 1) into 1 8.473 * [taylor]: Taking taylor expansion of 1 in im 8.473 * [backup-simplify]: Simplify 1 into 1 8.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.475 * [backup-simplify]: Simplify (+ 0 0) into 0 8.475 * [taylor]: Taking taylor expansion of 0 in im 8.475 * [backup-simplify]: Simplify 0 into 0 8.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.477 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 8.477 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.477 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.477 * [taylor]: Taking taylor expansion of im in im 8.477 * [backup-simplify]: Simplify 0 into 0 8.477 * [backup-simplify]: Simplify 1 into 1 8.477 * [backup-simplify]: Simplify (* 1 1) into 1 8.478 * [backup-simplify]: Simplify (/ 1 1) into 1 8.478 * [backup-simplify]: Simplify 1 into 1 8.478 * [backup-simplify]: Simplify 1 into 1 8.478 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.486 * [backup-simplify]: Simplify (+ 0 0) into 0 8.486 * [taylor]: Taking taylor expansion of 0 in im 8.487 * [backup-simplify]: Simplify 0 into 0 8.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.488 * [backup-simplify]: Simplify 0 into 0 8.488 * [backup-simplify]: Simplify 0 into 0 8.488 * [backup-simplify]: Simplify 0 into 0 8.489 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 8.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.491 * [backup-simplify]: Simplify (+ 0 0) into 0 8.491 * [taylor]: Taking taylor expansion of 0 in im 8.491 * [backup-simplify]: Simplify 0 into 0 8.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.493 * [backup-simplify]: Simplify 0 into 0 8.493 * [backup-simplify]: Simplify 0 into 0 8.493 * [backup-simplify]: Simplify 0 into 0 8.493 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 8.494 * * * [progress]: simplifying candidates 8.495 * [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)) 8.497 * * [simplify]: Extracting # 0 : cost 0 8.497 * * [simplify]: Extracting # 1 : cost 0 8.497 * * [simplify]: Extracting # 2 : cost 0 8.497 * * [simplify]: Extracting # 3 : cost 0 8.497 * * [simplify]: Extracting # 4 : cost 0 8.497 * * [simplify]: Extracting # 5 : cost 0 8.498 * * [simplify]: Extracting # 6 : cost 0 8.498 * * [simplify]: iteration 0 : 87 enodes (cost 739 ) 8.529 * * [simplify]: Extracting # 0 : cost 0 8.530 * * [simplify]: Extracting # 1 : cost 0 8.530 * * [simplify]: Extracting # 2 : cost 0 8.530 * * [simplify]: Extracting # 3 : cost 0 8.531 * * [simplify]: Extracting # 4 : cost 0 8.531 * * [simplify]: iteration 1 : 169 enodes (cost 626 ) 8.596 * * [simplify]: Extracting # 0 : cost 0 8.596 * * [simplify]: Extracting # 1 : cost 0 8.596 * * [simplify]: Extracting # 2 : cost 0 8.597 * * [simplify]: Extracting # 3 : cost 0 8.597 * * [simplify]: Extracting # 4 : cost 0 8.598 * * [simplify]: iteration 2 : 398 enodes (cost 534 ) 8.797 * * [simplify]: Extracting # 0 : cost 0 8.799 * * [simplify]: Extracting # 1 : cost 0 8.800 * * [simplify]: Extracting # 2 : cost 0 8.802 * * [simplify]: Extracting # 3 : cost 0 8.803 * * [simplify]: Extracting # 4 : cost 0 8.805 * * [simplify]: iteration 3 : 1056 enodes (cost 534 ) 9.632 * * [simplify]: Extracting # 0 : cost 0 9.635 * * [simplify]: Extracting # 1 : cost 0 9.638 * * [simplify]: Extracting # 2 : cost 0 9.640 * * [simplify]: Extracting # 3 : cost 0 9.642 * * [simplify]: Extracting # 4 : cost 0 9.645 * * [simplify]: iteration 4 : 2807 enodes (cost 528 ) 10.915 * * [simplify]: Extracting # 0 : cost 0 10.924 * * [simplify]: Extracting # 1 : cost 0 10.929 * * [simplify]: Extracting # 2 : cost 0 10.934 * * [simplify]: Extracting # 3 : cost 0 10.939 * * [simplify]: Extracting # 4 : cost 0 10.945 * * [simplify]: Extracting # 5 : cost 0 10.954 * * [simplify]: iteration done: 5001 enodes (cost 528 ) 10.955 * [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)) 10.955 * * * [progress]: adding candidates to table 11.104 * [progress]: [Phase 3 of 3] Extracting. 11.104 * * [regime]: Finding splitpoints for: (# # # # # # # #) 11.106 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 11.106 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #) 11.148 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # #) 11.192 * * * * [regimes]: Trying to branch on (* re re) from (# # # # # # # #) 11.254 * * * * [regimes]: Trying to branch on (* re re) from (# # # #) 11.284 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # # # # # #) 11.338 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # #) 11.352 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # # # # # #) 11.405 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # #) 11.441 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 11.483 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 11.552 * * * [regime]: Found split indices: #