20.733 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying: (sqrt (+ (* re re) (* im im))) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.059 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.070 * * * [progress]: generating series expansions 0.070 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.070 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.070 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.070 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.070 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.070 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.070 * [taylor]: Taking taylor expansion of re in im 0.070 * [backup-simplify]: Simplify re into re 0.070 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.070 * [taylor]: Taking taylor expansion of im in im 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.071 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.071 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.071 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.072 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.072 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.072 * [taylor]: Taking taylor expansion of re in re 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.072 * [taylor]: Taking taylor expansion of im in re 0.072 * [backup-simplify]: Simplify im into im 0.072 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.072 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.072 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.072 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.073 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.073 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.073 * [taylor]: Taking taylor expansion of re in re 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.073 * [taylor]: Taking taylor expansion of im in re 0.073 * [backup-simplify]: Simplify im into im 0.073 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.073 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.073 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.073 * [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 0.074 * [taylor]: Taking taylor expansion of im in im 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [taylor]: Taking taylor expansion of 0 in im 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (* 1 1) into 1 0.074 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.075 * [backup-simplify]: Simplify (+ 1 0) into 1 0.075 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.075 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.075 * [taylor]: Taking taylor expansion of 1/2 in im 0.075 * [backup-simplify]: Simplify 1/2 into 1/2 0.075 * [taylor]: Taking taylor expansion of im in im 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.077 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.078 * [taylor]: Taking taylor expansion of 0 in im 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 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 (* 1 (* im 1)) into im 0.079 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.079 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.079 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.079 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.079 * [taylor]: Taking taylor expansion of im in im 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (* 1 1) into 1 0.079 * [backup-simplify]: Simplify (/ 1 1) into 1 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.079 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.079 * [taylor]: Taking taylor expansion of re in im 0.079 * [backup-simplify]: Simplify re into re 0.079 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.079 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.080 * [backup-simplify]: Simplify (+ 1 0) into 1 0.080 * [backup-simplify]: Simplify (sqrt 1) into 1 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.082 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.082 * [taylor]: Taking taylor expansion of im in re 0.082 * [backup-simplify]: Simplify im into im 0.082 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.082 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.082 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.082 * [taylor]: Taking taylor expansion of re in re 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (* 1 1) into 1 0.082 * [backup-simplify]: Simplify (/ 1 1) into 1 0.083 * [backup-simplify]: Simplify (+ 0 1) into 1 0.083 * [backup-simplify]: Simplify (sqrt 1) into 1 0.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.085 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.085 * [taylor]: Taking taylor expansion of im in re 0.085 * [backup-simplify]: Simplify im into im 0.085 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.085 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.085 * [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 0.086 * [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 0.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.095 * [taylor]: Taking taylor expansion of 0 in im 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.096 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.096 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.097 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.097 * [taylor]: Taking taylor expansion of im in im 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (* 1 1) into 1 0.097 * [backup-simplify]: Simplify (/ 1 1) into 1 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.097 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.097 * [taylor]: Taking taylor expansion of re in im 0.097 * [backup-simplify]: Simplify re into re 0.097 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.098 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.098 * [backup-simplify]: Simplify (+ 1 0) into 1 0.098 * [backup-simplify]: Simplify (sqrt 1) into 1 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.100 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.100 * [taylor]: Taking taylor expansion of im in re 0.100 * [backup-simplify]: Simplify im into im 0.100 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.100 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.100 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.100 * [taylor]: Taking taylor expansion of re in re 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (* 1 1) into 1 0.101 * [backup-simplify]: Simplify (/ 1 1) into 1 0.101 * [backup-simplify]: Simplify (+ 0 1) into 1 0.101 * [backup-simplify]: Simplify (sqrt 1) into 1 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.103 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.103 * [taylor]: Taking taylor expansion of im in re 0.103 * [backup-simplify]: Simplify im into im 0.103 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.103 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.103 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.103 * [taylor]: Taking taylor expansion of re in re 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (* 1 1) into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [backup-simplify]: Simplify (+ 0 1) into 1 0.104 * [backup-simplify]: Simplify (sqrt 1) into 1 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.106 * [taylor]: Taking taylor expansion of 1 in im 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [taylor]: Taking taylor expansion of 0 in im 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.108 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.108 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.108 * [taylor]: Taking taylor expansion of 1/2 in im 0.108 * [backup-simplify]: Simplify 1/2 into 1/2 0.108 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.108 * [taylor]: Taking taylor expansion of im in im 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (* 1 1) into 1 0.109 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.120 * [taylor]: Taking taylor expansion of 0 in im 0.120 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 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 0.121 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.121 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.122 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.122 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.122 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.122 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.122 * [taylor]: Taking taylor expansion of re in im 0.122 * [backup-simplify]: Simplify re into re 0.122 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.122 * [taylor]: Taking taylor expansion of im in im 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.122 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.122 * [taylor]: Taking taylor expansion of re in re 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.122 * [taylor]: Taking taylor expansion of im in re 0.122 * [backup-simplify]: Simplify im into im 0.122 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.122 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.122 * [taylor]: Taking taylor expansion of re in re 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.122 * [taylor]: Taking taylor expansion of im in re 0.122 * [backup-simplify]: Simplify im into im 0.122 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.122 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.122 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.122 * [taylor]: Taking taylor expansion of im in im 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [taylor]: Taking taylor expansion of 0 in im 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (* 1 1) into 1 0.123 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.124 * [backup-simplify]: Simplify (+ 1 0) into 1 0.124 * [taylor]: Taking taylor expansion of 1 in im 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (* 1 1) into 1 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.125 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) 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 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.127 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [taylor]: Taking taylor expansion of 0 in im 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.128 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.128 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 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 (* 1 1) into 1 0.128 * [backup-simplify]: Simplify (/ 1 1) into 1 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.128 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.128 * [taylor]: Taking taylor expansion of re in im 0.128 * [backup-simplify]: Simplify re into re 0.128 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.129 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.129 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.129 * [taylor]: Taking taylor expansion of im in re 0.129 * [backup-simplify]: Simplify im into im 0.129 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.129 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.129 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.129 * [taylor]: Taking taylor expansion of re in re 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (* 1 1) into 1 0.129 * [backup-simplify]: Simplify (/ 1 1) into 1 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.130 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.130 * [taylor]: Taking taylor expansion of im in re 0.130 * [backup-simplify]: Simplify im into im 0.130 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.130 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.130 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.130 * [taylor]: Taking taylor expansion of re in re 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (* 1 1) into 1 0.130 * [backup-simplify]: Simplify (/ 1 1) into 1 0.131 * [backup-simplify]: Simplify (+ 0 1) into 1 0.131 * [taylor]: Taking taylor expansion of 1 in im 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.133 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.133 * [taylor]: Taking taylor expansion of im in im 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (* 1 1) into 1 0.134 * [backup-simplify]: Simplify (/ 1 1) into 1 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [taylor]: Taking taylor expansion of 0 in im 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [taylor]: Taking taylor expansion of 0 in im 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.140 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.140 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.140 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.140 * [taylor]: Taking taylor expansion of im in im 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (* 1 1) into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.141 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.141 * [taylor]: Taking taylor expansion of re in im 0.141 * [backup-simplify]: Simplify re into re 0.141 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.141 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.141 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.141 * [taylor]: Taking taylor expansion of im in re 0.141 * [backup-simplify]: Simplify im into im 0.141 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.141 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.141 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.141 * [taylor]: Taking taylor expansion of re in re 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (* 1 1) into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.142 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.142 * [taylor]: Taking taylor expansion of im in re 0.142 * [backup-simplify]: Simplify im into im 0.142 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.142 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.142 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.142 * [taylor]: Taking taylor expansion of re in re 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (* 1 1) into 1 0.143 * [backup-simplify]: Simplify (/ 1 1) into 1 0.143 * [backup-simplify]: Simplify (+ 0 1) into 1 0.143 * [taylor]: Taking taylor expansion of 1 in im 0.143 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [taylor]: Taking taylor expansion of 0 in im 0.144 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.146 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.146 * [taylor]: Taking taylor expansion of im in im 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (* 1 1) into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.147 * [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 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [taylor]: Taking taylor expansion of 0 in im 0.151 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.153 * * * [progress]: simplifying candidates 0.153 * [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)) 1.002 * * * [progress]: adding candidates to table 1.105 * * [progress]: iteration 2 / 4 1.105 * * * [progress]: picking best candidate 1.116 * * * * [pick]: Picked # 1.116 * * * [progress]: localizing error 1.148 * * * [progress]: generating rewritten candidates 1.148 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.221 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.258 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.276 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.289 * * * [progress]: generating series expansions 1.289 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.290 * [backup-simplify]: Simplify (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im))) into (/ (- (pow re 4) (pow im 4)) (- (pow re 2) (pow im 2))) 1.290 * [approximate]: Taking taylor expansion of (/ (- (pow re 4) (pow im 4)) (- (pow re 2) (pow im 2))) in (im re) around 0 1.290 * [taylor]: Taking taylor expansion of (/ (- (pow re 4) (pow im 4)) (- (pow re 2) (pow im 2))) in re 1.290 * [taylor]: Taking taylor expansion of (- (pow re 4) (pow im 4)) in re 1.290 * [taylor]: Taking taylor expansion of (pow re 4) in re 1.290 * [taylor]: Taking taylor expansion of re in re 1.290 * [backup-simplify]: Simplify 0 into 0 1.290 * [backup-simplify]: Simplify 1 into 1 1.290 * [taylor]: Taking taylor expansion of (pow im 4) in re 1.290 * [taylor]: Taking taylor expansion of im in re 1.290 * [backup-simplify]: Simplify im into im 1.290 * [taylor]: Taking taylor expansion of (- (pow re 2) (pow im 2)) in re 1.290 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.290 * [taylor]: Taking taylor expansion of re in re 1.290 * [backup-simplify]: Simplify 0 into 0 1.290 * [backup-simplify]: Simplify 1 into 1 1.290 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.290 * [taylor]: Taking taylor expansion of im in re 1.290 * [backup-simplify]: Simplify im into im 1.290 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.290 * [backup-simplify]: Simplify (* (pow im 2) (pow im 2)) into (pow im 4) 1.290 * [backup-simplify]: Simplify (- (pow im 4)) into (- (pow im 4)) 1.290 * [backup-simplify]: Simplify (+ 0 (- (pow im 4))) into (- (pow im 4)) 1.290 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.290 * [backup-simplify]: Simplify (- (pow im 2)) into (- (pow im 2)) 1.291 * [backup-simplify]: Simplify (+ 0 (- (pow im 2))) into (- (pow im 2)) 1.291 * [backup-simplify]: Simplify (/ (- (pow im 4)) (- (pow im 2))) into (pow im 2) 1.291 * [taylor]: Taking taylor expansion of (/ (- (pow re 4) (pow im 4)) (- (pow re 2) (pow im 2))) in im 1.291 * [taylor]: Taking taylor expansion of (- (pow re 4) (pow im 4)) in im 1.291 * [taylor]: Taking taylor expansion of (pow re 4) in im 1.291 * [taylor]: Taking taylor expansion of re in im 1.291 * [backup-simplify]: Simplify re into re 1.291 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.291 * [taylor]: Taking taylor expansion of im in im 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify 1 into 1 1.291 * [taylor]: Taking taylor expansion of (- (pow re 2) (pow im 2)) in im 1.291 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.291 * [taylor]: Taking taylor expansion of re in im 1.291 * [backup-simplify]: Simplify re into re 1.291 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.291 * [taylor]: Taking taylor expansion of im in im 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify 1 into 1 1.291 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.291 * [backup-simplify]: Simplify (* (pow re 2) (pow re 2)) into (pow re 4) 1.291 * [backup-simplify]: Simplify (+ (pow re 4) 0) into (pow re 4) 1.291 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.291 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.292 * [backup-simplify]: Simplify (/ (pow re 4) (pow re 2)) into (pow re 2) 1.292 * [taylor]: Taking taylor expansion of (/ (- (pow re 4) (pow im 4)) (- (pow re 2) (pow im 2))) in im 1.292 * [taylor]: Taking taylor expansion of (- (pow re 4) (pow im 4)) in im 1.292 * [taylor]: Taking taylor expansion of (pow re 4) in im 1.292 * [taylor]: Taking taylor expansion of re in im 1.292 * [backup-simplify]: Simplify re into re 1.292 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.292 * [taylor]: Taking taylor expansion of im in im 1.292 * [backup-simplify]: Simplify 0 into 0 1.292 * [backup-simplify]: Simplify 1 into 1 1.292 * [taylor]: Taking taylor expansion of (- (pow re 2) (pow im 2)) in im 1.292 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.292 * [taylor]: Taking taylor expansion of re in im 1.292 * [backup-simplify]: Simplify re into re 1.292 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.292 * [taylor]: Taking taylor expansion of im in im 1.292 * [backup-simplify]: Simplify 0 into 0 1.292 * [backup-simplify]: Simplify 1 into 1 1.292 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.292 * [backup-simplify]: Simplify (* (pow re 2) (pow re 2)) into (pow re 4) 1.292 * [backup-simplify]: Simplify (+ (pow re 4) 0) into (pow re 4) 1.292 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.292 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.292 * [backup-simplify]: Simplify (/ (pow re 4) (pow re 2)) into (pow re 2) 1.292 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.293 * [taylor]: Taking taylor expansion of re in re 1.293 * [backup-simplify]: Simplify 0 into 0 1.293 * [backup-simplify]: Simplify 1 into 1 1.293 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.293 * [backup-simplify]: Simplify (+ (* (pow re 2) 0) (* 0 (pow re 2))) into 0 1.293 * [backup-simplify]: Simplify (+ 0 0) into 0 1.293 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.294 * [backup-simplify]: Simplify (+ 0 0) into 0 1.294 * [backup-simplify]: Simplify (- (/ 0 (pow re 2)) (+ (* (pow re 2) (/ 0 (pow re 2))))) into 0 1.294 * [taylor]: Taking taylor expansion of 0 in re 1.294 * [backup-simplify]: Simplify 0 into 0 1.294 * [backup-simplify]: Simplify 0 into 0 1.294 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.295 * [backup-simplify]: Simplify (+ (* (pow re 2) 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 1.295 * [backup-simplify]: Simplify (+ 0 0) into 0 1.295 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.295 * [backup-simplify]: Simplify (* 1 1) into 1 1.296 * [backup-simplify]: Simplify (- 1) into -1 1.296 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.296 * [backup-simplify]: Simplify (- (/ 0 (pow re 2)) (+ (* (pow re 2) (/ -1 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 1 1.296 * [taylor]: Taking taylor expansion of 1 in re 1.296 * [backup-simplify]: Simplify 1 into 1 1.296 * [backup-simplify]: Simplify 1 into 1 1.296 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify (* 1 1) into 1 1.297 * [backup-simplify]: Simplify 1 into 1 1.297 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 1.298 * [backup-simplify]: Simplify (+ (* (pow re 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow re 2))))) into 0 1.298 * [backup-simplify]: Simplify (+ 0 0) into 0 1.298 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 1.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.299 * [backup-simplify]: Simplify (- 0) into 0 1.299 * [backup-simplify]: Simplify (+ 0 0) into 0 1.300 * [backup-simplify]: Simplify (- (/ 0 (pow re 2)) (+ (* (pow re 2) (/ 0 (pow re 2))) (* 0 (/ -1 (pow re 2))) (* 1 (/ 0 (pow re 2))))) into 0 1.300 * [taylor]: Taking taylor expansion of 0 in re 1.300 * [backup-simplify]: Simplify 0 into 0 1.300 * [backup-simplify]: Simplify 0 into 0 1.300 * [backup-simplify]: Simplify 0 into 0 1.300 * [backup-simplify]: Simplify 0 into 0 1.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.300 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 1.302 * [backup-simplify]: Simplify (+ (* (pow re 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow re 2)))))) into 0 1.302 * [backup-simplify]: Simplify (* 1 1) into 1 1.302 * [backup-simplify]: Simplify (* 1 1) into 1 1.303 * [backup-simplify]: Simplify (- 1) into -1 1.303 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.304 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 1.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.304 * [backup-simplify]: Simplify (- 0) into 0 1.305 * [backup-simplify]: Simplify (+ 0 0) into 0 1.305 * [backup-simplify]: Simplify (- (/ -1 (pow re 2)) (+ (* (pow re 2) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))) (* 1 (/ -1 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 1.305 * [taylor]: Taking taylor expansion of 0 in re 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify (+ (* 1 (pow (* re 1) 2)) (* 1 (pow (* 1 im) 2))) into (+ (pow re 2) (pow im 2)) 1.306 * [backup-simplify]: Simplify (/ (+ (* (- (pow (/ 1 im) 3)) (/ 1 im)) (pow (/ 1 re) 4)) (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (/ (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) (- (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.306 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) (- (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0 1.306 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) (- (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.306 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) in re 1.306 * [taylor]: Taking taylor expansion of (/ 1 (pow re 4)) in re 1.306 * [taylor]: Taking taylor expansion of (pow re 4) in re 1.306 * [taylor]: Taking taylor expansion of re in re 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify 1 into 1 1.306 * [backup-simplify]: Simplify (* 1 1) into 1 1.307 * [backup-simplify]: Simplify (* 1 1) into 1 1.307 * [backup-simplify]: Simplify (/ 1 1) into 1 1.307 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in re 1.307 * [taylor]: Taking taylor expansion of (pow im 4) in re 1.307 * [taylor]: Taking taylor expansion of im in re 1.307 * [backup-simplify]: Simplify im into im 1.307 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.307 * [backup-simplify]: Simplify (* (pow im 2) (pow im 2)) into (pow im 4) 1.307 * [backup-simplify]: Simplify (/ 1 (pow im 4)) into (/ 1 (pow im 4)) 1.307 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.307 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.307 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.307 * [taylor]: Taking taylor expansion of re in re 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 1 into 1 1.308 * [backup-simplify]: Simplify (* 1 1) into 1 1.308 * [backup-simplify]: Simplify (/ 1 1) into 1 1.308 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.308 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.308 * [taylor]: Taking taylor expansion of im in re 1.308 * [backup-simplify]: Simplify im into im 1.308 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.308 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.308 * [backup-simplify]: Simplify (+ 1 0) into 1 1.309 * [backup-simplify]: Simplify (+ 1 0) into 1 1.309 * [backup-simplify]: Simplify (/ 1 1) into 1 1.309 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) (- (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.309 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) in im 1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow re 4)) in im 1.309 * [taylor]: Taking taylor expansion of (pow re 4) in im 1.309 * [taylor]: Taking taylor expansion of re in im 1.309 * [backup-simplify]: Simplify re into re 1.309 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.309 * [backup-simplify]: Simplify (* (pow re 2) (pow re 2)) into (pow re 4) 1.309 * [backup-simplify]: Simplify (/ 1 (pow re 4)) into (/ 1 (pow re 4)) 1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.309 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.309 * [taylor]: Taking taylor expansion of im in im 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 1 into 1 1.310 * [backup-simplify]: Simplify (* 1 1) into 1 1.310 * [backup-simplify]: Simplify (* 1 1) into 1 1.310 * [backup-simplify]: Simplify (/ 1 1) into 1 1.310 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.310 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.310 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.310 * [taylor]: Taking taylor expansion of re in im 1.310 * [backup-simplify]: Simplify re into re 1.310 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.310 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.310 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.310 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.310 * [taylor]: Taking taylor expansion of im in im 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 1 into 1 1.311 * [backup-simplify]: Simplify (* 1 1) into 1 1.311 * [backup-simplify]: Simplify (/ 1 1) into 1 1.311 * [backup-simplify]: Simplify (- 1) into -1 1.311 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.312 * [backup-simplify]: Simplify (- 1) into -1 1.312 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.312 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.312 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) (- (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.312 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) in im 1.312 * [taylor]: Taking taylor expansion of (/ 1 (pow re 4)) in im 1.312 * [taylor]: Taking taylor expansion of (pow re 4) in im 1.312 * [taylor]: Taking taylor expansion of re in im 1.312 * [backup-simplify]: Simplify re into re 1.312 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.312 * [backup-simplify]: Simplify (* (pow re 2) (pow re 2)) into (pow re 4) 1.313 * [backup-simplify]: Simplify (/ 1 (pow re 4)) into (/ 1 (pow re 4)) 1.313 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.313 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.313 * [taylor]: Taking taylor expansion of im in im 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify 1 into 1 1.313 * [backup-simplify]: Simplify (* 1 1) into 1 1.313 * [backup-simplify]: Simplify (* 1 1) into 1 1.313 * [backup-simplify]: Simplify (/ 1 1) into 1 1.313 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.313 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.313 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.313 * [taylor]: Taking taylor expansion of re in im 1.313 * [backup-simplify]: Simplify re into re 1.313 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.314 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.314 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.314 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.314 * [taylor]: Taking taylor expansion of im in im 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify 1 into 1 1.314 * [backup-simplify]: Simplify (* 1 1) into 1 1.314 * [backup-simplify]: Simplify (/ 1 1) into 1 1.314 * [backup-simplify]: Simplify (- 1) into -1 1.315 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.315 * [backup-simplify]: Simplify (- 1) into -1 1.315 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.315 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.316 * [taylor]: Taking taylor expansion of 1 in re 1.316 * [backup-simplify]: Simplify 1 into 1 1.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.317 * [backup-simplify]: Simplify (- 0) into 0 1.317 * [backup-simplify]: Simplify (+ 0 0) into 0 1.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.318 * [backup-simplify]: Simplify (- 0) into 0 1.319 * [backup-simplify]: Simplify (+ 0 0) into 0 1.319 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)))) into 0 1.319 * [taylor]: Taking taylor expansion of 0 in re 1.319 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.321 * [backup-simplify]: Simplify (- 0) into 0 1.322 * [backup-simplify]: Simplify (+ 0 0) into 0 1.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.323 * [backup-simplify]: Simplify (- 0) into 0 1.323 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 1.324 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 1 (pow re 2)) -1)) (* 0 (/ 0 -1)))) into (/ 1 (pow re 2)) 1.324 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.324 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.324 * [taylor]: Taking taylor expansion of re in re 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify 1 into 1 1.324 * [backup-simplify]: Simplify (* 1 1) into 1 1.324 * [backup-simplify]: Simplify (/ 1 1) into 1 1.324 * [backup-simplify]: Simplify 1 into 1 1.324 * [backup-simplify]: Simplify 1 into 1 1.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.327 * [backup-simplify]: Simplify (- 0) into 0 1.327 * [backup-simplify]: Simplify (+ 0 0) into 0 1.327 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.328 * [backup-simplify]: Simplify (- 0) into 0 1.329 * [backup-simplify]: Simplify (+ 0 0) into 0 1.330 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 0 (/ (/ 1 (pow re 2)) -1)) (* (/ 1 (pow re 2)) (/ 0 -1)))) into 0 1.330 * [taylor]: Taking taylor expansion of 0 in re 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify 0 into 0 1.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.333 * [backup-simplify]: Simplify (- 0) into 0 1.333 * [backup-simplify]: Simplify (+ (/ 1 (pow re 4)) 0) into (/ 1 (pow re 4)) 1.333 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 1.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.335 * [backup-simplify]: Simplify (- 0) into 0 1.335 * [backup-simplify]: Simplify (+ 0 0) into 0 1.337 * [backup-simplify]: Simplify (- (/ (/ 1 (pow re 4)) -1) (+ (* 1 (/ 0 -1)) (* 0 (/ 0 -1)) (* (/ 1 (pow re 2)) (/ (/ 1 (pow re 2)) -1)) (* 0 (/ 0 -1)))) into 0 1.337 * [taylor]: Taking taylor expansion of 0 in re 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 im))) 2)) (* 1 (pow (* (/ 1 (/ 1 re)) 1) 2))) into (+ (pow re 2) (pow im 2)) 1.339 * [backup-simplify]: Simplify (/ (+ (* (- (pow (/ 1 (- im)) 3)) (/ 1 (- im))) (pow (/ 1 (- re)) 4)) (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (/ (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) (- (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.339 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) (- (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0 1.339 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) (- (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.339 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) in re 1.339 * [taylor]: Taking taylor expansion of (/ 1 (pow re 4)) in re 1.339 * [taylor]: Taking taylor expansion of (pow re 4) in re 1.339 * [taylor]: Taking taylor expansion of re in re 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 1 into 1 1.339 * [backup-simplify]: Simplify (* 1 1) into 1 1.339 * [backup-simplify]: Simplify (* 1 1) into 1 1.340 * [backup-simplify]: Simplify (/ 1 1) into 1 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in re 1.340 * [taylor]: Taking taylor expansion of (pow im 4) in re 1.340 * [taylor]: Taking taylor expansion of im in re 1.340 * [backup-simplify]: Simplify im into im 1.340 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.340 * [backup-simplify]: Simplify (* (pow im 2) (pow im 2)) into (pow im 4) 1.340 * [backup-simplify]: Simplify (/ 1 (pow im 4)) into (/ 1 (pow im 4)) 1.340 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.340 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.340 * [taylor]: Taking taylor expansion of re in re 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 1 into 1 1.340 * [backup-simplify]: Simplify (* 1 1) into 1 1.341 * [backup-simplify]: Simplify (/ 1 1) into 1 1.341 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.341 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.341 * [taylor]: Taking taylor expansion of im in re 1.341 * [backup-simplify]: Simplify im into im 1.341 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.341 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.341 * [backup-simplify]: Simplify (+ 1 0) into 1 1.341 * [backup-simplify]: Simplify (+ 1 0) into 1 1.342 * [backup-simplify]: Simplify (/ 1 1) into 1 1.342 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) (- (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.342 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) in im 1.342 * [taylor]: Taking taylor expansion of (/ 1 (pow re 4)) in im 1.342 * [taylor]: Taking taylor expansion of (pow re 4) in im 1.342 * [taylor]: Taking taylor expansion of re in im 1.342 * [backup-simplify]: Simplify re into re 1.342 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.342 * [backup-simplify]: Simplify (* (pow re 2) (pow re 2)) into (pow re 4) 1.342 * [backup-simplify]: Simplify (/ 1 (pow re 4)) into (/ 1 (pow re 4)) 1.342 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.342 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.342 * [taylor]: Taking taylor expansion of im in im 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 1 into 1 1.342 * [backup-simplify]: Simplify (* 1 1) into 1 1.343 * [backup-simplify]: Simplify (* 1 1) into 1 1.343 * [backup-simplify]: Simplify (/ 1 1) into 1 1.343 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.343 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.343 * [taylor]: Taking taylor expansion of re in im 1.343 * [backup-simplify]: Simplify re into re 1.343 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.343 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.343 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.343 * [taylor]: Taking taylor expansion of im in im 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 1 into 1 1.344 * [backup-simplify]: Simplify (* 1 1) into 1 1.344 * [backup-simplify]: Simplify (/ 1 1) into 1 1.344 * [backup-simplify]: Simplify (- 1) into -1 1.344 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.345 * [backup-simplify]: Simplify (- 1) into -1 1.345 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.345 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.345 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) (- (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.345 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) in im 1.345 * [taylor]: Taking taylor expansion of (/ 1 (pow re 4)) in im 1.345 * [taylor]: Taking taylor expansion of (pow re 4) in im 1.345 * [taylor]: Taking taylor expansion of re in im 1.345 * [backup-simplify]: Simplify re into re 1.345 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.345 * [backup-simplify]: Simplify (* (pow re 2) (pow re 2)) into (pow re 4) 1.345 * [backup-simplify]: Simplify (/ 1 (pow re 4)) into (/ 1 (pow re 4)) 1.345 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.346 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.346 * [taylor]: Taking taylor expansion of im in im 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify 1 into 1 1.346 * [backup-simplify]: Simplify (* 1 1) into 1 1.346 * [backup-simplify]: Simplify (* 1 1) into 1 1.346 * [backup-simplify]: Simplify (/ 1 1) into 1 1.346 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.346 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.346 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.346 * [taylor]: Taking taylor expansion of re in im 1.346 * [backup-simplify]: Simplify re into re 1.346 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.347 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.347 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.347 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.347 * [taylor]: Taking taylor expansion of im in im 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify 1 into 1 1.347 * [backup-simplify]: Simplify (* 1 1) into 1 1.347 * [backup-simplify]: Simplify (/ 1 1) into 1 1.347 * [backup-simplify]: Simplify (- 1) into -1 1.348 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.348 * [backup-simplify]: Simplify (- 1) into -1 1.348 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.348 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.348 * [taylor]: Taking taylor expansion of 1 in re 1.348 * [backup-simplify]: Simplify 1 into 1 1.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.350 * [backup-simplify]: Simplify (- 0) into 0 1.350 * [backup-simplify]: Simplify (+ 0 0) into 0 1.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.351 * [backup-simplify]: Simplify (- 0) into 0 1.352 * [backup-simplify]: Simplify (+ 0 0) into 0 1.352 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)))) into 0 1.352 * [taylor]: Taking taylor expansion of 0 in re 1.352 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.354 * [backup-simplify]: Simplify (- 0) into 0 1.355 * [backup-simplify]: Simplify (+ 0 0) into 0 1.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.356 * [backup-simplify]: Simplify (- 0) into 0 1.356 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 1.357 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 1 (pow re 2)) -1)) (* 0 (/ 0 -1)))) into (/ 1 (pow re 2)) 1.357 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.357 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.357 * [taylor]: Taking taylor expansion of re in re 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 1 into 1 1.357 * [backup-simplify]: Simplify (* 1 1) into 1 1.357 * [backup-simplify]: Simplify (/ 1 1) into 1 1.357 * [backup-simplify]: Simplify 1 into 1 1.358 * [backup-simplify]: Simplify 1 into 1 1.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.360 * [backup-simplify]: Simplify (- 0) into 0 1.360 * [backup-simplify]: Simplify (+ 0 0) into 0 1.360 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.361 * [backup-simplify]: Simplify (- 0) into 0 1.362 * [backup-simplify]: Simplify (+ 0 0) into 0 1.363 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 0 (/ (/ 1 (pow re 2)) -1)) (* (/ 1 (pow re 2)) (/ 0 -1)))) into 0 1.363 * [taylor]: Taking taylor expansion of 0 in re 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.368 * [backup-simplify]: Simplify (- 0) into 0 1.368 * [backup-simplify]: Simplify (+ (/ 1 (pow re 4)) 0) into (/ 1 (pow re 4)) 1.368 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 1.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.371 * [backup-simplify]: Simplify (- 0) into 0 1.371 * [backup-simplify]: Simplify (+ 0 0) into 0 1.373 * [backup-simplify]: Simplify (- (/ (/ 1 (pow re 4)) -1) (+ (* 1 (/ 0 -1)) (* 0 (/ 0 -1)) (* (/ 1 (pow re 2)) (/ (/ 1 (pow re 2)) -1)) (* 0 (/ 0 -1)))) into 0 1.373 * [taylor]: Taking taylor expansion of 0 in re 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- im)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- re))) 1) 2))) into (+ (pow re 2) (pow im 2)) 1.374 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.375 * [backup-simplify]: Simplify (sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)))) into (sqrt (/ (- (pow re 4) (pow im 4)) (- (pow re 2) (pow im 2)))) 1.375 * [approximate]: Taking taylor expansion of (sqrt (/ (- (pow re 4) (pow im 4)) (- (pow re 2) (pow im 2)))) in (im re) around 0 1.375 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow re 4) (pow im 4)) (- (pow re 2) (pow im 2)))) in re 1.375 * [taylor]: Taking taylor expansion of (/ (- (pow re 4) (pow im 4)) (- (pow re 2) (pow im 2))) in re 1.375 * [taylor]: Taking taylor expansion of (- (pow re 4) (pow im 4)) in re 1.375 * [taylor]: Taking taylor expansion of (pow re 4) in re 1.375 * [taylor]: Taking taylor expansion of re in re 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 1 into 1 1.375 * [taylor]: Taking taylor expansion of (pow im 4) in re 1.375 * [taylor]: Taking taylor expansion of im in re 1.375 * [backup-simplify]: Simplify im into im 1.375 * [taylor]: Taking taylor expansion of (- (pow re 2) (pow im 2)) in re 1.375 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.375 * [taylor]: Taking taylor expansion of re in re 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 1 into 1 1.375 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.375 * [taylor]: Taking taylor expansion of im in re 1.375 * [backup-simplify]: Simplify im into im 1.375 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.375 * [backup-simplify]: Simplify (* (pow im 2) (pow im 2)) into (pow im 4) 1.375 * [backup-simplify]: Simplify (- (pow im 4)) into (- (pow im 4)) 1.375 * [backup-simplify]: Simplify (+ 0 (- (pow im 4))) into (- (pow im 4)) 1.375 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.375 * [backup-simplify]: Simplify (- (pow im 2)) into (- (pow im 2)) 1.376 * [backup-simplify]: Simplify (+ 0 (- (pow im 2))) into (- (pow im 2)) 1.376 * [backup-simplify]: Simplify (/ (- (pow im 4)) (- (pow im 2))) into (pow im 2) 1.376 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.376 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.376 * [backup-simplify]: Simplify (+ (* (pow im 2) 0) (* 0 (pow im 2))) into 0 1.376 * [backup-simplify]: Simplify (- 0) into 0 1.377 * [backup-simplify]: Simplify (+ 0 0) into 0 1.377 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.377 * [backup-simplify]: Simplify (- 0) into 0 1.377 * [backup-simplify]: Simplify (+ 0 0) into 0 1.377 * [backup-simplify]: Simplify (- (/ 0 (- (pow im 2))) (+ (* (pow im 2) (/ 0 (- (pow im 2)))))) into 0 1.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.377 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow re 4) (pow im 4)) (- (pow re 2) (pow im 2)))) in im 1.377 * [taylor]: Taking taylor expansion of (/ (- (pow re 4) (pow im 4)) (- (pow re 2) (pow im 2))) in im 1.378 * [taylor]: Taking taylor expansion of (- (pow re 4) (pow im 4)) in im 1.378 * [taylor]: Taking taylor expansion of (pow re 4) in im 1.378 * [taylor]: Taking taylor expansion of re in im 1.378 * [backup-simplify]: Simplify re into re 1.378 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.378 * [taylor]: Taking taylor expansion of im in im 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify 1 into 1 1.378 * [taylor]: Taking taylor expansion of (- (pow re 2) (pow im 2)) in im 1.378 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.378 * [taylor]: Taking taylor expansion of re in im 1.378 * [backup-simplify]: Simplify re into re 1.378 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.378 * [taylor]: Taking taylor expansion of im in im 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify 1 into 1 1.378 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.378 * [backup-simplify]: Simplify (* (pow re 2) (pow re 2)) into (pow re 4) 1.378 * [backup-simplify]: Simplify (+ (pow re 4) 0) into (pow re 4) 1.378 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.378 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.378 * [backup-simplify]: Simplify (/ (pow re 4) (pow re 2)) into (pow re 2) 1.378 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.378 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.379 * [backup-simplify]: Simplify (+ (* (pow re 2) 0) (* 0 (pow re 2))) into 0 1.379 * [backup-simplify]: Simplify (+ 0 0) into 0 1.379 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.379 * [backup-simplify]: Simplify (+ 0 0) into 0 1.379 * [backup-simplify]: Simplify (- (/ 0 (pow re 2)) (+ (* (pow re 2) (/ 0 (pow re 2))))) into 0 1.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.379 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow re 4) (pow im 4)) (- (pow re 2) (pow im 2)))) in im 1.379 * [taylor]: Taking taylor expansion of (/ (- (pow re 4) (pow im 4)) (- (pow re 2) (pow im 2))) in im 1.380 * [taylor]: Taking taylor expansion of (- (pow re 4) (pow im 4)) in im 1.380 * [taylor]: Taking taylor expansion of (pow re 4) in im 1.380 * [taylor]: Taking taylor expansion of re in im 1.380 * [backup-simplify]: Simplify re into re 1.380 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.380 * [taylor]: Taking taylor expansion of im in im 1.380 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify 1 into 1 1.380 * [taylor]: Taking taylor expansion of (- (pow re 2) (pow im 2)) in im 1.380 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.380 * [taylor]: Taking taylor expansion of re in im 1.380 * [backup-simplify]: Simplify re into re 1.380 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.380 * [taylor]: Taking taylor expansion of im in im 1.380 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify 1 into 1 1.380 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.380 * [backup-simplify]: Simplify (* (pow re 2) (pow re 2)) into (pow re 4) 1.380 * [backup-simplify]: Simplify (+ (pow re 4) 0) into (pow re 4) 1.380 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.380 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.380 * [backup-simplify]: Simplify (/ (pow re 4) (pow re 2)) into (pow re 2) 1.380 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.380 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.381 * [backup-simplify]: Simplify (+ (* (pow re 2) 0) (* 0 (pow re 2))) into 0 1.381 * [backup-simplify]: Simplify (+ 0 0) into 0 1.381 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.381 * [backup-simplify]: Simplify (+ 0 0) into 0 1.381 * [backup-simplify]: Simplify (- (/ 0 (pow re 2)) (+ (* (pow re 2) (/ 0 (pow re 2))))) into 0 1.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.382 * [taylor]: Taking taylor expansion of re in re 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify 1 into 1 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [taylor]: Taking taylor expansion of 0 in re 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify 1 into 1 1.382 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.382 * [backup-simplify]: Simplify (+ (* (pow re 2) 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 1.383 * [backup-simplify]: Simplify (+ 0 0) into 0 1.383 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.383 * [backup-simplify]: Simplify (* 1 1) into 1 1.383 * [backup-simplify]: Simplify (- 1) into -1 1.384 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.384 * [backup-simplify]: Simplify (- (/ 0 (pow re 2)) (+ (* (pow re 2) (/ -1 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 1 1.385 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 1.385 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 1.385 * [taylor]: Taking taylor expansion of 1/2 in re 1.385 * [backup-simplify]: Simplify 1/2 into 1/2 1.385 * [taylor]: Taking taylor expansion of re in re 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify 1 into 1 1.385 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 1.389 * [backup-simplify]: Simplify (+ (* (pow re 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow re 2))))) into 0 1.390 * [backup-simplify]: Simplify (+ 0 0) into 0 1.390 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 1.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.391 * [backup-simplify]: Simplify (- 0) into 0 1.391 * [backup-simplify]: Simplify (+ 0 0) into 0 1.392 * [backup-simplify]: Simplify (- (/ 0 (pow re 2)) (+ (* (pow re 2) (/ 0 (pow re 2))) (* 0 (/ -1 (pow re 2))) (* 1 (/ 0 (pow re 2))))) into 0 1.392 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 1.392 * [taylor]: Taking taylor expansion of 0 in re 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify (* 1 (* re 1)) into re 1.394 * [backup-simplify]: Simplify (sqrt (/ (+ (* (- (pow (/ 1 im) 3)) (/ 1 im)) (pow (/ 1 re) 4)) (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) into (sqrt (/ (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) (- (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 1.394 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) (- (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (im re) around 0 1.394 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) (- (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.394 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) (- (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.394 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) in re 1.394 * [taylor]: Taking taylor expansion of (/ 1 (pow re 4)) in re 1.394 * [taylor]: Taking taylor expansion of (pow re 4) in re 1.394 * [taylor]: Taking taylor expansion of re in re 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify 1 into 1 1.395 * [backup-simplify]: Simplify (* 1 1) into 1 1.395 * [backup-simplify]: Simplify (* 1 1) into 1 1.395 * [backup-simplify]: Simplify (/ 1 1) into 1 1.395 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in re 1.395 * [taylor]: Taking taylor expansion of (pow im 4) in re 1.395 * [taylor]: Taking taylor expansion of im in re 1.395 * [backup-simplify]: Simplify im into im 1.395 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.396 * [backup-simplify]: Simplify (* (pow im 2) (pow im 2)) into (pow im 4) 1.396 * [backup-simplify]: Simplify (/ 1 (pow im 4)) into (/ 1 (pow im 4)) 1.396 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.396 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.396 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.396 * [taylor]: Taking taylor expansion of re in re 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify 1 into 1 1.396 * [backup-simplify]: Simplify (* 1 1) into 1 1.397 * [backup-simplify]: Simplify (/ 1 1) into 1 1.397 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.397 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.397 * [taylor]: Taking taylor expansion of im in re 1.397 * [backup-simplify]: Simplify im into im 1.397 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.397 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.397 * [backup-simplify]: Simplify (+ 1 0) into 1 1.398 * [backup-simplify]: Simplify (+ 1 0) into 1 1.398 * [backup-simplify]: Simplify (/ 1 1) into 1 1.398 * [backup-simplify]: Simplify (sqrt 1) into 1 1.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.400 * [backup-simplify]: Simplify (+ 0 0) into 0 1.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.402 * [backup-simplify]: Simplify (+ 0 0) into 0 1.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.403 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) (- (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 1.403 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) (- (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.403 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) in im 1.403 * [taylor]: Taking taylor expansion of (/ 1 (pow re 4)) in im 1.403 * [taylor]: Taking taylor expansion of (pow re 4) in im 1.403 * [taylor]: Taking taylor expansion of re in im 1.403 * [backup-simplify]: Simplify re into re 1.403 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.404 * [backup-simplify]: Simplify (* (pow re 2) (pow re 2)) into (pow re 4) 1.404 * [backup-simplify]: Simplify (/ 1 (pow re 4)) into (/ 1 (pow re 4)) 1.404 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.404 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.404 * [taylor]: Taking taylor expansion of im in im 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify 1 into 1 1.404 * [backup-simplify]: Simplify (* 1 1) into 1 1.405 * [backup-simplify]: Simplify (* 1 1) into 1 1.405 * [backup-simplify]: Simplify (/ 1 1) into 1 1.405 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.405 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.405 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.405 * [taylor]: Taking taylor expansion of re in im 1.405 * [backup-simplify]: Simplify re into re 1.405 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.405 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.405 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.405 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.405 * [taylor]: Taking taylor expansion of im in im 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify 1 into 1 1.406 * [backup-simplify]: Simplify (* 1 1) into 1 1.406 * [backup-simplify]: Simplify (/ 1 1) into 1 1.406 * [backup-simplify]: Simplify (- 1) into -1 1.407 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.407 * [backup-simplify]: Simplify (- 1) into -1 1.407 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.408 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.408 * [backup-simplify]: Simplify (sqrt 1) into 1 1.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.410 * [backup-simplify]: Simplify (- 0) into 0 1.411 * [backup-simplify]: Simplify (+ 0 0) into 0 1.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.412 * [backup-simplify]: Simplify (- 0) into 0 1.413 * [backup-simplify]: Simplify (+ 0 0) into 0 1.413 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)))) into 0 1.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.414 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) (- (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 1.414 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) (- (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.414 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) in im 1.414 * [taylor]: Taking taylor expansion of (/ 1 (pow re 4)) in im 1.414 * [taylor]: Taking taylor expansion of (pow re 4) in im 1.414 * [taylor]: Taking taylor expansion of re in im 1.414 * [backup-simplify]: Simplify re into re 1.414 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.414 * [backup-simplify]: Simplify (* (pow re 2) (pow re 2)) into (pow re 4) 1.415 * [backup-simplify]: Simplify (/ 1 (pow re 4)) into (/ 1 (pow re 4)) 1.415 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.415 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.415 * [taylor]: Taking taylor expansion of im in im 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 1 into 1 1.415 * [backup-simplify]: Simplify (* 1 1) into 1 1.415 * [backup-simplify]: Simplify (* 1 1) into 1 1.416 * [backup-simplify]: Simplify (/ 1 1) into 1 1.416 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.416 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.416 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.416 * [taylor]: Taking taylor expansion of re in im 1.416 * [backup-simplify]: Simplify re into re 1.416 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.416 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.416 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.416 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.416 * [taylor]: Taking taylor expansion of im in im 1.416 * [backup-simplify]: Simplify 0 into 0 1.416 * [backup-simplify]: Simplify 1 into 1 1.417 * [backup-simplify]: Simplify (* 1 1) into 1 1.417 * [backup-simplify]: Simplify (/ 1 1) into 1 1.417 * [backup-simplify]: Simplify (- 1) into -1 1.418 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.418 * [backup-simplify]: Simplify (- 1) into -1 1.418 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.419 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.419 * [backup-simplify]: Simplify (sqrt 1) into 1 1.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.422 * [backup-simplify]: Simplify (- 0) into 0 1.422 * [backup-simplify]: Simplify (+ 0 0) into 0 1.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.423 * [backup-simplify]: Simplify (- 0) into 0 1.424 * [backup-simplify]: Simplify (+ 0 0) into 0 1.424 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)))) into 0 1.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.425 * [taylor]: Taking taylor expansion of 1 in re 1.425 * [backup-simplify]: Simplify 1 into 1 1.425 * [taylor]: Taking taylor expansion of 0 in re 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 1 into 1 1.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.428 * [backup-simplify]: Simplify (- 0) into 0 1.428 * [backup-simplify]: Simplify (+ 0 0) into 0 1.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.430 * [backup-simplify]: Simplify (- 0) into 0 1.430 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 1.431 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 1 (pow re 2)) -1)) (* 0 (/ 0 -1)))) into (/ 1 (pow re 2)) 1.433 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 1.433 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re 1.433 * [taylor]: Taking taylor expansion of 1/2 in re 1.433 * [backup-simplify]: Simplify 1/2 into 1/2 1.433 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.433 * [taylor]: Taking taylor expansion of re in re 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 1 into 1 1.433 * [backup-simplify]: Simplify (* 1 1) into 1 1.434 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.438 * [backup-simplify]: Simplify (- 0) into 0 1.438 * [backup-simplify]: Simplify (+ 0 0) into 0 1.439 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.441 * [backup-simplify]: Simplify (- 0) into 0 1.441 * [backup-simplify]: Simplify (+ 0 0) into 0 1.443 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 0 (/ (/ 1 (pow re 2)) -1)) (* (/ 1 (pow re 2)) (/ 0 -1)))) into 0 1.444 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 1.444 * [taylor]: Taking taylor expansion of 0 in re 1.444 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im 1.447 * [backup-simplify]: Simplify (sqrt (/ (+ (* (- (pow (/ 1 (- im)) 3)) (/ 1 (- im))) (pow (/ 1 (- re)) 4)) (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) into (sqrt (/ (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) (- (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 1.447 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) (- (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (im re) around 0 1.447 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) (- (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.447 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) (- (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.447 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) in re 1.447 * [taylor]: Taking taylor expansion of (/ 1 (pow re 4)) in re 1.447 * [taylor]: Taking taylor expansion of (pow re 4) in re 1.447 * [taylor]: Taking taylor expansion of re in re 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 1 into 1 1.448 * [backup-simplify]: Simplify (* 1 1) into 1 1.448 * [backup-simplify]: Simplify (* 1 1) into 1 1.448 * [backup-simplify]: Simplify (/ 1 1) into 1 1.448 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in re 1.448 * [taylor]: Taking taylor expansion of (pow im 4) in re 1.448 * [taylor]: Taking taylor expansion of im in re 1.448 * [backup-simplify]: Simplify im into im 1.448 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.449 * [backup-simplify]: Simplify (* (pow im 2) (pow im 2)) into (pow im 4) 1.449 * [backup-simplify]: Simplify (/ 1 (pow im 4)) into (/ 1 (pow im 4)) 1.449 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.449 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.449 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.449 * [taylor]: Taking taylor expansion of re in re 1.449 * [backup-simplify]: Simplify 0 into 0 1.449 * [backup-simplify]: Simplify 1 into 1 1.449 * [backup-simplify]: Simplify (* 1 1) into 1 1.450 * [backup-simplify]: Simplify (/ 1 1) into 1 1.450 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.450 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.450 * [taylor]: Taking taylor expansion of im in re 1.450 * [backup-simplify]: Simplify im into im 1.450 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.450 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.450 * [backup-simplify]: Simplify (+ 1 0) into 1 1.451 * [backup-simplify]: Simplify (+ 1 0) into 1 1.451 * [backup-simplify]: Simplify (/ 1 1) into 1 1.452 * [backup-simplify]: Simplify (sqrt 1) into 1 1.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.454 * [backup-simplify]: Simplify (+ 0 0) into 0 1.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.456 * [backup-simplify]: Simplify (+ 0 0) into 0 1.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.457 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) (- (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 1.457 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) (- (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.457 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) in im 1.457 * [taylor]: Taking taylor expansion of (/ 1 (pow re 4)) in im 1.457 * [taylor]: Taking taylor expansion of (pow re 4) in im 1.457 * [taylor]: Taking taylor expansion of re in im 1.457 * [backup-simplify]: Simplify re into re 1.457 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.458 * [backup-simplify]: Simplify (* (pow re 2) (pow re 2)) into (pow re 4) 1.458 * [backup-simplify]: Simplify (/ 1 (pow re 4)) into (/ 1 (pow re 4)) 1.458 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.458 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.458 * [taylor]: Taking taylor expansion of im in im 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify 1 into 1 1.458 * [backup-simplify]: Simplify (* 1 1) into 1 1.459 * [backup-simplify]: Simplify (* 1 1) into 1 1.459 * [backup-simplify]: Simplify (/ 1 1) into 1 1.459 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.459 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.459 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.459 * [taylor]: Taking taylor expansion of re in im 1.459 * [backup-simplify]: Simplify re into re 1.459 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.459 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.459 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.460 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.460 * [taylor]: Taking taylor expansion of im in im 1.460 * [backup-simplify]: Simplify 0 into 0 1.460 * [backup-simplify]: Simplify 1 into 1 1.460 * [backup-simplify]: Simplify (* 1 1) into 1 1.460 * [backup-simplify]: Simplify (/ 1 1) into 1 1.461 * [backup-simplify]: Simplify (- 1) into -1 1.461 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.461 * [backup-simplify]: Simplify (- 1) into -1 1.462 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.462 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.463 * [backup-simplify]: Simplify (sqrt 1) into 1 1.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.465 * [backup-simplify]: Simplify (- 0) into 0 1.466 * [backup-simplify]: Simplify (+ 0 0) into 0 1.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.467 * [backup-simplify]: Simplify (- 0) into 0 1.468 * [backup-simplify]: Simplify (+ 0 0) into 0 1.468 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)))) into 0 1.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.469 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) (- (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 1.469 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) (- (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.469 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) in im 1.469 * [taylor]: Taking taylor expansion of (/ 1 (pow re 4)) in im 1.469 * [taylor]: Taking taylor expansion of (pow re 4) in im 1.469 * [taylor]: Taking taylor expansion of re in im 1.469 * [backup-simplify]: Simplify re into re 1.469 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.470 * [backup-simplify]: Simplify (* (pow re 2) (pow re 2)) into (pow re 4) 1.470 * [backup-simplify]: Simplify (/ 1 (pow re 4)) into (/ 1 (pow re 4)) 1.470 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.470 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.470 * [taylor]: Taking taylor expansion of im in im 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 1 into 1 1.470 * [backup-simplify]: Simplify (* 1 1) into 1 1.471 * [backup-simplify]: Simplify (* 1 1) into 1 1.471 * [backup-simplify]: Simplify (/ 1 1) into 1 1.471 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.471 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.471 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.471 * [taylor]: Taking taylor expansion of re in im 1.471 * [backup-simplify]: Simplify re into re 1.471 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.471 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.471 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.472 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.472 * [taylor]: Taking taylor expansion of im in im 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 1 into 1 1.472 * [backup-simplify]: Simplify (* 1 1) into 1 1.472 * [backup-simplify]: Simplify (/ 1 1) into 1 1.473 * [backup-simplify]: Simplify (- 1) into -1 1.473 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.473 * [backup-simplify]: Simplify (- 1) into -1 1.474 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.474 * [backup-simplify]: Simplify (/ -1 -1) into 1 1.474 * [backup-simplify]: Simplify (sqrt 1) into 1 1.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.477 * [backup-simplify]: Simplify (- 0) into 0 1.477 * [backup-simplify]: Simplify (+ 0 0) into 0 1.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.479 * [backup-simplify]: Simplify (- 0) into 0 1.479 * [backup-simplify]: Simplify (+ 0 0) into 0 1.480 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)))) into 0 1.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.481 * [taylor]: Taking taylor expansion of 1 in re 1.481 * [backup-simplify]: Simplify 1 into 1 1.481 * [taylor]: Taking taylor expansion of 0 in re 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify 1 into 1 1.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.484 * [backup-simplify]: Simplify (- 0) into 0 1.485 * [backup-simplify]: Simplify (+ 0 0) into 0 1.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.487 * [backup-simplify]: Simplify (- 0) into 0 1.487 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 1.488 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ (/ 1 (pow re 2)) -1)) (* 0 (/ 0 -1)))) into (/ 1 (pow re 2)) 1.490 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 1.490 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re 1.490 * [taylor]: Taking taylor expansion of 1/2 in re 1.490 * [backup-simplify]: Simplify 1/2 into 1/2 1.490 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.490 * [taylor]: Taking taylor expansion of re in re 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify 1 into 1 1.490 * [backup-simplify]: Simplify (* 1 1) into 1 1.491 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.496 * [backup-simplify]: Simplify (- 0) into 0 1.496 * [backup-simplify]: Simplify (+ 0 0) into 0 1.496 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.499 * [backup-simplify]: Simplify (- 0) into 0 1.500 * [backup-simplify]: Simplify (+ 0 0) into 0 1.501 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 0 (/ (/ 1 (pow re 2)) -1)) (* (/ 1 (pow re 2)) (/ 0 -1)))) into 0 1.502 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 1.502 * [taylor]: Taking taylor expansion of 0 in re 1.502 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im) 1.504 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.505 * [backup-simplify]: Simplify (+ (* (- (pow im 3)) im) (pow re 4)) into (- (pow re 4) (pow im 4)) 1.505 * [approximate]: Taking taylor expansion of (- (pow re 4) (pow im 4)) in (im re) around 0 1.505 * [taylor]: Taking taylor expansion of (- (pow re 4) (pow im 4)) in re 1.505 * [taylor]: Taking taylor expansion of (pow re 4) in re 1.505 * [taylor]: Taking taylor expansion of re in re 1.505 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify 1 into 1 1.505 * [taylor]: Taking taylor expansion of (pow im 4) in re 1.505 * [taylor]: Taking taylor expansion of im in re 1.505 * [backup-simplify]: Simplify im into im 1.505 * [taylor]: Taking taylor expansion of (- (pow re 4) (pow im 4)) in im 1.505 * [taylor]: Taking taylor expansion of (pow re 4) in im 1.505 * [taylor]: Taking taylor expansion of re in im 1.505 * [backup-simplify]: Simplify re into re 1.505 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.505 * [taylor]: Taking taylor expansion of im in im 1.505 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify 1 into 1 1.505 * [taylor]: Taking taylor expansion of (- (pow re 4) (pow im 4)) in im 1.505 * [taylor]: Taking taylor expansion of (pow re 4) in im 1.505 * [taylor]: Taking taylor expansion of re in im 1.505 * [backup-simplify]: Simplify re into re 1.506 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.506 * [taylor]: Taking taylor expansion of im in im 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 1 into 1 1.506 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.506 * [backup-simplify]: Simplify (* (pow re 2) (pow re 2)) into (pow re 4) 1.506 * [backup-simplify]: Simplify (+ (pow re 4) 0) into (pow re 4) 1.506 * [taylor]: Taking taylor expansion of (pow re 4) in re 1.506 * [taylor]: Taking taylor expansion of re in re 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 1 into 1 1.506 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.507 * [backup-simplify]: Simplify (+ (* (pow re 2) 0) (* 0 (pow re 2))) into 0 1.507 * [backup-simplify]: Simplify (+ 0 0) into 0 1.507 * [taylor]: Taking taylor expansion of 0 in re 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.508 * [backup-simplify]: Simplify (+ (* (pow re 2) 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 1.508 * [backup-simplify]: Simplify (+ 0 0) into 0 1.509 * [taylor]: Taking taylor expansion of 0 in re 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 1.510 * [backup-simplify]: Simplify (+ (* (pow re 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow re 2))))) into 0 1.511 * [backup-simplify]: Simplify (+ 0 0) into 0 1.511 * [taylor]: Taking taylor expansion of 0 in re 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify (+ (* (- (pow (/ 1 im) 3)) (/ 1 im)) (pow (/ 1 re) 4)) into (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) 1.512 * [approximate]: Taking taylor expansion of (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) in (im re) around 0 1.512 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) in re 1.512 * [taylor]: Taking taylor expansion of (/ 1 (pow re 4)) in re 1.512 * [taylor]: Taking taylor expansion of (pow re 4) in re 1.512 * [taylor]: Taking taylor expansion of re in re 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify 1 into 1 1.512 * [backup-simplify]: Simplify (* 1 1) into 1 1.513 * [backup-simplify]: Simplify (* 1 1) into 1 1.513 * [backup-simplify]: Simplify (/ 1 1) into 1 1.513 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in re 1.513 * [taylor]: Taking taylor expansion of (pow im 4) in re 1.513 * [taylor]: Taking taylor expansion of im in re 1.513 * [backup-simplify]: Simplify im into im 1.513 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.513 * [backup-simplify]: Simplify (* (pow im 2) (pow im 2)) into (pow im 4) 1.514 * [backup-simplify]: Simplify (/ 1 (pow im 4)) into (/ 1 (pow im 4)) 1.514 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) in im 1.514 * [taylor]: Taking taylor expansion of (/ 1 (pow re 4)) in im 1.514 * [taylor]: Taking taylor expansion of (pow re 4) in im 1.514 * [taylor]: Taking taylor expansion of re in im 1.514 * [backup-simplify]: Simplify re into re 1.514 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.514 * [backup-simplify]: Simplify (* (pow re 2) (pow re 2)) into (pow re 4) 1.514 * [backup-simplify]: Simplify (/ 1 (pow re 4)) into (/ 1 (pow re 4)) 1.514 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.514 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.514 * [taylor]: Taking taylor expansion of im in im 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 1 into 1 1.515 * [backup-simplify]: Simplify (* 1 1) into 1 1.515 * [backup-simplify]: Simplify (* 1 1) into 1 1.515 * [backup-simplify]: Simplify (/ 1 1) into 1 1.515 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) in im 1.515 * [taylor]: Taking taylor expansion of (/ 1 (pow re 4)) in im 1.515 * [taylor]: Taking taylor expansion of (pow re 4) in im 1.515 * [taylor]: Taking taylor expansion of re in im 1.516 * [backup-simplify]: Simplify re into re 1.516 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.516 * [backup-simplify]: Simplify (* (pow re 2) (pow re 2)) into (pow re 4) 1.516 * [backup-simplify]: Simplify (/ 1 (pow re 4)) into (/ 1 (pow re 4)) 1.516 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.516 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.516 * [taylor]: Taking taylor expansion of im in im 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify 1 into 1 1.516 * [backup-simplify]: Simplify (* 1 1) into 1 1.517 * [backup-simplify]: Simplify (* 1 1) into 1 1.517 * [backup-simplify]: Simplify (/ 1 1) into 1 1.518 * [backup-simplify]: Simplify (- 1) into -1 1.518 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.518 * [taylor]: Taking taylor expansion of -1 in re 1.518 * [backup-simplify]: Simplify -1 into -1 1.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.521 * [backup-simplify]: Simplify (- 0) into 0 1.521 * [backup-simplify]: Simplify (+ 0 0) into 0 1.521 * [taylor]: Taking taylor expansion of 0 in re 1.521 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.524 * [backup-simplify]: Simplify (- 0) into 0 1.524 * [backup-simplify]: Simplify (+ 0 0) into 0 1.525 * [taylor]: Taking taylor expansion of 0 in re 1.525 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.528 * [backup-simplify]: Simplify (- 0) into 0 1.528 * [backup-simplify]: Simplify (+ 0 0) into 0 1.528 * [taylor]: Taking taylor expansion of 0 in re 1.528 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.534 * [backup-simplify]: Simplify (- 0) into 0 1.534 * [backup-simplify]: Simplify (+ (/ 1 (pow re 4)) 0) into (/ 1 (pow re 4)) 1.534 * [taylor]: Taking taylor expansion of (/ 1 (pow re 4)) in re 1.534 * [taylor]: Taking taylor expansion of (pow re 4) in re 1.534 * [taylor]: Taking taylor expansion of re in re 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify 1 into 1 1.535 * [backup-simplify]: Simplify (* 1 1) into 1 1.535 * [backup-simplify]: Simplify (* 1 1) into 1 1.535 * [backup-simplify]: Simplify (/ 1 1) into 1 1.535 * [backup-simplify]: Simplify 1 into 1 1.535 * [backup-simplify]: Simplify -1 into -1 1.535 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.536 * [backup-simplify]: Simplify (+ (* (pow re 2) 0) (* 0 (pow re 2))) into 0 1.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 4)) (/ 0 (pow re 4))))) into 0 1.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.539 * [backup-simplify]: Simplify (- 0) into 0 1.540 * [backup-simplify]: Simplify (+ 0 0) into 0 1.540 * [taylor]: Taking taylor expansion of 0 in re 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.543 * [backup-simplify]: Simplify (+ (* (pow re 2) 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 1.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 4)) (/ 0 (pow re 4))) (* 0 (/ 0 (pow re 4))))) into 0 1.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.547 * [backup-simplify]: Simplify (- 0) into 0 1.547 * [backup-simplify]: Simplify (+ 0 0) into 0 1.547 * [taylor]: Taking taylor expansion of 0 in re 1.547 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify (+ (* -1 (pow (* 1 (/ 1 (/ 1 im))) 4)) (* 1 (pow (* (/ 1 (/ 1 re)) 1) 4))) into (- (pow re 4) (pow im 4)) 1.551 * [backup-simplify]: Simplify (+ (* (- (pow (/ 1 (- im)) 3)) (/ 1 (- im))) (pow (/ 1 (- re)) 4)) into (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) 1.551 * [approximate]: Taking taylor expansion of (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) in (im re) around 0 1.551 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) in re 1.551 * [taylor]: Taking taylor expansion of (/ 1 (pow re 4)) in re 1.551 * [taylor]: Taking taylor expansion of (pow re 4) in re 1.551 * [taylor]: Taking taylor expansion of re in re 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 1 into 1 1.552 * [backup-simplify]: Simplify (* 1 1) into 1 1.552 * [backup-simplify]: Simplify (* 1 1) into 1 1.552 * [backup-simplify]: Simplify (/ 1 1) into 1 1.552 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in re 1.552 * [taylor]: Taking taylor expansion of (pow im 4) in re 1.552 * [taylor]: Taking taylor expansion of im in re 1.552 * [backup-simplify]: Simplify im into im 1.552 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.552 * [backup-simplify]: Simplify (* (pow im 2) (pow im 2)) into (pow im 4) 1.552 * [backup-simplify]: Simplify (/ 1 (pow im 4)) into (/ 1 (pow im 4)) 1.553 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) in im 1.553 * [taylor]: Taking taylor expansion of (/ 1 (pow re 4)) in im 1.553 * [taylor]: Taking taylor expansion of (pow re 4) in im 1.553 * [taylor]: Taking taylor expansion of re in im 1.553 * [backup-simplify]: Simplify re into re 1.553 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.553 * [backup-simplify]: Simplify (* (pow re 2) (pow re 2)) into (pow re 4) 1.553 * [backup-simplify]: Simplify (/ 1 (pow re 4)) into (/ 1 (pow re 4)) 1.553 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.553 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.553 * [taylor]: Taking taylor expansion of im in im 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 1 into 1 1.553 * [backup-simplify]: Simplify (* 1 1) into 1 1.553 * [backup-simplify]: Simplify (* 1 1) into 1 1.554 * [backup-simplify]: Simplify (/ 1 1) into 1 1.554 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 4)) (/ 1 (pow im 4))) in im 1.554 * [taylor]: Taking taylor expansion of (/ 1 (pow re 4)) in im 1.554 * [taylor]: Taking taylor expansion of (pow re 4) in im 1.554 * [taylor]: Taking taylor expansion of re in im 1.554 * [backup-simplify]: Simplify re into re 1.554 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.554 * [backup-simplify]: Simplify (* (pow re 2) (pow re 2)) into (pow re 4) 1.554 * [backup-simplify]: Simplify (/ 1 (pow re 4)) into (/ 1 (pow re 4)) 1.554 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.554 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.554 * [taylor]: Taking taylor expansion of im in im 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 1 into 1 1.554 * [backup-simplify]: Simplify (* 1 1) into 1 1.555 * [backup-simplify]: Simplify (* 1 1) into 1 1.555 * [backup-simplify]: Simplify (/ 1 1) into 1 1.555 * [backup-simplify]: Simplify (- 1) into -1 1.555 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.555 * [taylor]: Taking taylor expansion of -1 in re 1.555 * [backup-simplify]: Simplify -1 into -1 1.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.557 * [backup-simplify]: Simplify (- 0) into 0 1.557 * [backup-simplify]: Simplify (+ 0 0) into 0 1.557 * [taylor]: Taking taylor expansion of 0 in re 1.557 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.559 * [backup-simplify]: Simplify (- 0) into 0 1.559 * [backup-simplify]: Simplify (+ 0 0) into 0 1.559 * [taylor]: Taking taylor expansion of 0 in re 1.559 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.562 * [backup-simplify]: Simplify (- 0) into 0 1.562 * [backup-simplify]: Simplify (+ 0 0) into 0 1.562 * [taylor]: Taking taylor expansion of 0 in re 1.562 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.564 * [backup-simplify]: Simplify (- 0) into 0 1.564 * [backup-simplify]: Simplify (+ (/ 1 (pow re 4)) 0) into (/ 1 (pow re 4)) 1.564 * [taylor]: Taking taylor expansion of (/ 1 (pow re 4)) in re 1.564 * [taylor]: Taking taylor expansion of (pow re 4) in re 1.564 * [taylor]: Taking taylor expansion of re in re 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 1 into 1 1.565 * [backup-simplify]: Simplify (* 1 1) into 1 1.565 * [backup-simplify]: Simplify (* 1 1) into 1 1.565 * [backup-simplify]: Simplify (/ 1 1) into 1 1.565 * [backup-simplify]: Simplify 1 into 1 1.565 * [backup-simplify]: Simplify -1 into -1 1.565 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.565 * [backup-simplify]: Simplify (+ (* (pow re 2) 0) (* 0 (pow re 2))) into 0 1.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 4)) (/ 0 (pow re 4))))) into 0 1.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.568 * [backup-simplify]: Simplify (- 0) into 0 1.568 * [backup-simplify]: Simplify (+ 0 0) into 0 1.568 * [taylor]: Taking taylor expansion of 0 in re 1.568 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.570 * [backup-simplify]: Simplify (+ (* (pow re 2) 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 1.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 4)) (/ 0 (pow re 4))) (* 0 (/ 0 (pow re 4))))) into 0 1.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.573 * [backup-simplify]: Simplify (- 0) into 0 1.574 * [backup-simplify]: Simplify (+ 0 0) into 0 1.574 * [taylor]: Taking taylor expansion of 0 in re 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify (+ (* -1 (pow (* 1 (/ 1 (/ 1 (- im)))) 4)) (* 1 (pow (* (/ 1 (/ 1 (- re))) 1) 4))) into (- (pow re 4) (pow im 4)) 1.576 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.576 * [backup-simplify]: Simplify (- (* re re) (* im im)) into (- (pow re 2) (pow im 2)) 1.576 * [approximate]: Taking taylor expansion of (- (pow re 2) (pow im 2)) in (re im) around 0 1.576 * [taylor]: Taking taylor expansion of (- (pow re 2) (pow im 2)) in im 1.576 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.576 * [taylor]: Taking taylor expansion of re in im 1.576 * [backup-simplify]: Simplify re into re 1.576 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.576 * [taylor]: Taking taylor expansion of im in im 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify 1 into 1 1.576 * [taylor]: Taking taylor expansion of (- (pow re 2) (pow im 2)) in re 1.576 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.576 * [taylor]: Taking taylor expansion of re in re 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify 1 into 1 1.576 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.576 * [taylor]: Taking taylor expansion of im in re 1.576 * [backup-simplify]: Simplify im into im 1.576 * [taylor]: Taking taylor expansion of (- (pow re 2) (pow im 2)) in re 1.576 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.576 * [taylor]: Taking taylor expansion of re in re 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify 1 into 1 1.576 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.576 * [taylor]: Taking taylor expansion of im in re 1.576 * [backup-simplify]: Simplify im into im 1.576 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.577 * [backup-simplify]: Simplify (- (pow im 2)) into (- (pow im 2)) 1.577 * [backup-simplify]: Simplify (+ 0 (- (pow im 2))) into (- (pow im 2)) 1.577 * [taylor]: Taking taylor expansion of (- (pow im 2)) in im 1.577 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.577 * [taylor]: Taking taylor expansion of im in im 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify 1 into 1 1.577 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.577 * [backup-simplify]: Simplify (- 0) into 0 1.577 * [backup-simplify]: Simplify (+ 0 0) into 0 1.577 * [taylor]: Taking taylor expansion of 0 in im 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify (* 1 1) into 1 1.578 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.578 * [backup-simplify]: Simplify (- 0) into 0 1.578 * [backup-simplify]: Simplify (+ 1 0) into 1 1.578 * [taylor]: Taking taylor expansion of 1 in im 1.579 * [backup-simplify]: Simplify 1 into 1 1.579 * [backup-simplify]: Simplify 1 into 1 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify (* 1 1) into 1 1.579 * [backup-simplify]: Simplify (- 1) into -1 1.579 * [backup-simplify]: Simplify -1 into -1 1.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.580 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.580 * [backup-simplify]: Simplify (- 0) into 0 1.581 * [backup-simplify]: Simplify (+ 0 0) into 0 1.581 * [taylor]: Taking taylor expansion of 0 in im 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.581 * [backup-simplify]: Simplify (- 0) into 0 1.581 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.583 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 1.583 * [backup-simplify]: Simplify (- 0) into 0 1.584 * [backup-simplify]: Simplify (+ 0 0) into 0 1.584 * [taylor]: Taking taylor expansion of 0 in im 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify (+ (* -1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (- (pow re 2) (pow im 2)) 1.584 * [backup-simplify]: Simplify (- (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1.584 * [approximate]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 1.584 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.584 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.584 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.584 * [taylor]: Taking taylor expansion of re in im 1.585 * [backup-simplify]: Simplify re into re 1.585 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.585 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.585 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.585 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.585 * [taylor]: Taking taylor expansion of im in im 1.585 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify 1 into 1 1.585 * [backup-simplify]: Simplify (* 1 1) into 1 1.586 * [backup-simplify]: Simplify (/ 1 1) into 1 1.586 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.586 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.586 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.586 * [taylor]: Taking taylor expansion of re in re 1.586 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify 1 into 1 1.586 * [backup-simplify]: Simplify (* 1 1) into 1 1.586 * [backup-simplify]: Simplify (/ 1 1) into 1 1.586 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.586 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.586 * [taylor]: Taking taylor expansion of im in re 1.586 * [backup-simplify]: Simplify im into im 1.587 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.587 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.587 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.587 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.587 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.587 * [taylor]: Taking taylor expansion of re in re 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify 1 into 1 1.587 * [backup-simplify]: Simplify (* 1 1) into 1 1.588 * [backup-simplify]: Simplify (/ 1 1) into 1 1.588 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.588 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.588 * [taylor]: Taking taylor expansion of im in re 1.588 * [backup-simplify]: Simplify im into im 1.588 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.588 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.588 * [backup-simplify]: Simplify (+ 1 0) into 1 1.588 * [taylor]: Taking taylor expansion of 1 in im 1.588 * [backup-simplify]: Simplify 1 into 1 1.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.590 * [backup-simplify]: Simplify (+ 0 0) into 0 1.590 * [taylor]: Taking taylor expansion of 0 in im 1.590 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.592 * [backup-simplify]: Simplify (- (/ 1 (pow im 2))) into (- (/ 1 (pow im 2))) 1.592 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow im 2)))) into (- (/ 1 (pow im 2))) 1.592 * [taylor]: Taking taylor expansion of (- (/ 1 (pow im 2))) in im 1.592 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.592 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.592 * [taylor]: Taking taylor expansion of im in im 1.592 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify 1 into 1 1.593 * [backup-simplify]: Simplify (* 1 1) into 1 1.593 * [backup-simplify]: Simplify (/ 1 1) into 1 1.593 * [backup-simplify]: Simplify (- 1) into -1 1.593 * [backup-simplify]: Simplify -1 into -1 1.593 * [backup-simplify]: Simplify 1 into 1 1.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.595 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.596 * [backup-simplify]: Simplify (- 0) into 0 1.597 * [backup-simplify]: Simplify (+ 0 0) into 0 1.597 * [taylor]: Taking taylor expansion of 0 in im 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.598 * [backup-simplify]: Simplify (- 0) into 0 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.601 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.601 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 1.601 * [backup-simplify]: Simplify (- 0) into 0 1.602 * [backup-simplify]: Simplify (+ 0 0) into 0 1.602 * [taylor]: Taking taylor expansion of 0 in im 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.604 * [backup-simplify]: Simplify (- 0) into 0 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* -1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (- (pow re 2) (pow im 2)) 1.604 * [backup-simplify]: Simplify (- (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1.604 * [approximate]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 1.604 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.604 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.605 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.605 * [taylor]: Taking taylor expansion of re in im 1.605 * [backup-simplify]: Simplify re into re 1.605 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.605 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.605 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.605 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.605 * [taylor]: Taking taylor expansion of im in im 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify 1 into 1 1.605 * [backup-simplify]: Simplify (* 1 1) into 1 1.606 * [backup-simplify]: Simplify (/ 1 1) into 1 1.606 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.606 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.606 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.606 * [taylor]: Taking taylor expansion of re in re 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 1 into 1 1.606 * [backup-simplify]: Simplify (* 1 1) into 1 1.606 * [backup-simplify]: Simplify (/ 1 1) into 1 1.606 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.606 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.606 * [taylor]: Taking taylor expansion of im in re 1.606 * [backup-simplify]: Simplify im into im 1.607 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.607 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.607 * [taylor]: Taking taylor expansion of (- (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.607 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.607 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.607 * [taylor]: Taking taylor expansion of re in re 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 1 into 1 1.607 * [backup-simplify]: Simplify (* 1 1) into 1 1.608 * [backup-simplify]: Simplify (/ 1 1) into 1 1.608 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.608 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.608 * [taylor]: Taking taylor expansion of im in re 1.608 * [backup-simplify]: Simplify im into im 1.608 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.608 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.608 * [backup-simplify]: Simplify (+ 1 0) into 1 1.608 * [taylor]: Taking taylor expansion of 1 in im 1.608 * [backup-simplify]: Simplify 1 into 1 1.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.610 * [backup-simplify]: Simplify (+ 0 0) into 0 1.610 * [taylor]: Taking taylor expansion of 0 in im 1.610 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.612 * [backup-simplify]: Simplify (- (/ 1 (pow im 2))) into (- (/ 1 (pow im 2))) 1.612 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow im 2)))) into (- (/ 1 (pow im 2))) 1.612 * [taylor]: Taking taylor expansion of (- (/ 1 (pow im 2))) in im 1.612 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.612 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.612 * [taylor]: Taking taylor expansion of im in im 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 1 into 1 1.612 * [backup-simplify]: Simplify (* 1 1) into 1 1.613 * [backup-simplify]: Simplify (/ 1 1) into 1 1.613 * [backup-simplify]: Simplify (- 1) into -1 1.613 * [backup-simplify]: Simplify -1 into -1 1.613 * [backup-simplify]: Simplify 1 into 1 1.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.615 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.615 * [backup-simplify]: Simplify (- 0) into 0 1.616 * [backup-simplify]: Simplify (+ 0 0) into 0 1.616 * [taylor]: Taking taylor expansion of 0 in im 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.617 * [backup-simplify]: Simplify (- 0) into 0 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.619 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 1.620 * [backup-simplify]: Simplify (- 0) into 0 1.620 * [backup-simplify]: Simplify (+ 0 0) into 0 1.620 * [taylor]: Taking taylor expansion of 0 in im 1.620 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.621 * [backup-simplify]: Simplify (- 0) into 0 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (- (pow re 2) (pow im 2)) 1.622 * * * [progress]: simplifying candidates 1.624 * [simplify]: Simplifying: (- (log (+ (* (- (pow im 3)) im) (pow re 4))) (log (- (* re re) (* im im)))) (log (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)))) (exp (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)))) (/ (* (* (+ (* (- (pow im 3)) im) (pow re 4)) (+ (* (- (pow im 3)) im) (pow re 4))) (+ (* (- (pow im 3)) im) (pow re 4))) (* (* (- (* re re) (* im im)) (- (* re re) (* im im))) (- (* re re) (* im im)))) (* (cbrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)))) (cbrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im))))) (cbrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)))) (* (* (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im))) (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)))) (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)))) (sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)))) (sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)))) (- (+ (* (- (pow im 3)) im) (pow re 4))) (- (- (* re re) (* im im))) (/ (* (cbrt (+ (* (- (pow im 3)) im) (pow re 4))) (cbrt (+ (* (- (pow im 3)) im) (pow re 4)))) (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im))))) (/ (cbrt (+ (* (- (pow im 3)) im) (pow re 4))) (cbrt (- (* re re) (* im im)))) (/ (* (cbrt (+ (* (- (pow im 3)) im) (pow re 4))) (cbrt (+ (* (- (pow im 3)) im) (pow re 4)))) (sqrt (- (* re re) (* im im)))) (/ (cbrt (+ (* (- (pow im 3)) im) (pow re 4))) (sqrt (- (* re re) (* im im)))) (/ (* (cbrt (+ (* (- (pow im 3)) im) (pow re 4))) (cbrt (+ (* (- (pow im 3)) im) (pow re 4)))) 1) (/ (cbrt (+ (* (- (pow im 3)) im) (pow re 4))) (- (* re re) (* im im))) (/ (* (cbrt (+ (* (- (pow im 3)) im) (pow re 4))) (cbrt (+ (* (- (pow im 3)) im) (pow re 4)))) (+ re im)) (/ (cbrt (+ (* (- (pow im 3)) im) (pow re 4))) (- re im)) (/ (sqrt (+ (* (- (pow im 3)) im) (pow re 4))) (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im))))) (/ (sqrt (+ (* (- (pow im 3)) im) (pow re 4))) (cbrt (- (* re re) (* im im)))) (/ (sqrt (+ (* (- (pow im 3)) im) (pow re 4))) (sqrt (- (* re re) (* im im)))) (/ (sqrt (+ (* (- (pow im 3)) im) (pow re 4))) (sqrt (- (* re re) (* im im)))) (/ (sqrt (+ (* (- (pow im 3)) im) (pow re 4))) 1) (/ (sqrt (+ (* (- (pow im 3)) im) (pow re 4))) (- (* re re) (* im im))) (/ (sqrt (+ (* (- (pow im 3)) im) (pow re 4))) (+ re im)) (/ (sqrt (+ (* (- (pow im 3)) im) (pow re 4))) (- re im)) (/ 1 (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im))))) (/ (+ (* (- (pow im 3)) im) (pow re 4)) (cbrt (- (* re re) (* im im)))) (/ 1 (sqrt (- (* re re) (* im im)))) (/ (+ (* (- (pow im 3)) im) (pow re 4)) (sqrt (- (* re re) (* im im)))) (/ 1 1) (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im))) (/ 1 (+ re im)) (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- re im)) (/ 1 (- (* re re) (* im im))) (/ (- (* re re) (* im im)) (+ (* (- (pow im 3)) im) (pow re 4))) (/ (+ (* (- (pow im 3)) im) (pow re 4)) (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im))))) (/ (+ (* (- (pow im 3)) im) (pow re 4)) (sqrt (- (* re re) (* im im)))) (/ (+ (* (- (pow im 3)) im) (pow re 4)) 1) (/ (+ (* (- (pow im 3)) im) (pow re 4)) (+ re im)) (/ (- (* re re) (* im im)) (cbrt (+ (* (- (pow im 3)) im) (pow re 4)))) (/ (- (* re re) (* im im)) (sqrt (+ (* (- (pow im 3)) im) (pow re 4)))) (/ (- (* re re) (* im im)) (+ (* (- (pow im 3)) im) (pow re 4))) (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (pow (* re re) 3) (pow (* im im) 3))) (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (* (- (* re re) (* im im)) (+ (* (* (- (pow im 3)) im) (* (- (pow im 3)) im)) (- (* (pow re 4) (pow re 4)) (* (* (- (pow im 3)) im) (pow re 4))))) (* (- (* re re) (* im im)) (- (* (- (pow im 3)) im) (pow re 4))) (log (sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im))))) (exp (sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im))))) (* (cbrt (sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im))))) (cbrt (sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)))))) (cbrt (sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im))))) (* (* (sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)))) (sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im))))) (sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im))))) (sqrt (* (cbrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)))) (cbrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)))))) (sqrt (cbrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im))))) (sqrt (sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im))))) (sqrt (sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im))))) (sqrt (/ (* (cbrt (+ (* (- (pow im 3)) im) (pow re 4))) (cbrt (+ (* (- (pow im 3)) im) (pow re 4)))) (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im)))))) (sqrt (/ (cbrt (+ (* (- (pow im 3)) im) (pow re 4))) (cbrt (- (* re re) (* im im))))) (sqrt (/ (* (cbrt (+ (* (- (pow im 3)) im) (pow re 4))) (cbrt (+ (* (- (pow im 3)) im) (pow re 4)))) (sqrt (- (* re re) (* im im))))) (sqrt (/ (cbrt (+ (* (- (pow im 3)) im) (pow re 4))) (sqrt (- (* re re) (* im im))))) (sqrt (/ (* (cbrt (+ (* (- (pow im 3)) im) (pow re 4))) (cbrt (+ (* (- (pow im 3)) im) (pow re 4)))) 1)) (sqrt (/ (cbrt (+ (* (- (pow im 3)) im) (pow re 4))) (- (* re re) (* im im)))) (sqrt (/ (* (cbrt (+ (* (- (pow im 3)) im) (pow re 4))) (cbrt (+ (* (- (pow im 3)) im) (pow re 4)))) (+ re im))) (sqrt (/ (cbrt (+ (* (- (pow im 3)) im) (pow re 4))) (- re im))) (sqrt (/ (sqrt (+ (* (- (pow im 3)) im) (pow re 4))) (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im)))))) (sqrt (/ (sqrt (+ (* (- (pow im 3)) im) (pow re 4))) (cbrt (- (* re re) (* im im))))) (sqrt (/ (sqrt (+ (* (- (pow im 3)) im) (pow re 4))) (sqrt (- (* re re) (* im im))))) (sqrt (/ (sqrt (+ (* (- (pow im 3)) im) (pow re 4))) (sqrt (- (* re re) (* im im))))) (sqrt (/ (sqrt (+ (* (- (pow im 3)) im) (pow re 4))) 1)) (sqrt (/ (sqrt (+ (* (- (pow im 3)) im) (pow re 4))) (- (* re re) (* im im)))) (sqrt (/ (sqrt (+ (* (- (pow im 3)) im) (pow re 4))) (+ re im))) (sqrt (/ (sqrt (+ (* (- (pow im 3)) im) (pow re 4))) (- re im))) (sqrt (/ 1 (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im)))))) (sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (cbrt (- (* re re) (* im im))))) (sqrt (/ 1 (sqrt (- (* re re) (* im im))))) (sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (sqrt (- (* re re) (* im im))))) (sqrt (/ 1 1)) (sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)))) (sqrt (/ 1 (+ re im))) (sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- re im))) (sqrt 1) (sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)))) (sqrt (+ (* (- (pow im 3)) im) (pow re 4))) (sqrt (/ 1 (- (* re re) (* im im)))) (sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (+ (* (* re re) (* re re)) (+ (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (- (pow im 3)) im) (pow re 4))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im))))) (sqrt (sqrt (/ (+ (* (- (pow im 3)) im) (pow re 4)) (- (* re re) (* im im))))) (* (exp (* (- (pow im 3)) im)) (exp (pow re 4))) (log (+ (* (- (pow im 3)) im) (pow re 4))) (exp (+ (* (- (pow im 3)) im) (pow re 4))) (* (cbrt (+ (* (- (pow im 3)) im) (pow re 4))) (cbrt (+ (* (- (pow im 3)) im) (pow re 4)))) (cbrt (+ (* (- (pow im 3)) im) (pow re 4))) (* (* (+ (* (- (pow im 3)) im) (pow re 4)) (+ (* (- (pow im 3)) im) (pow re 4))) (+ (* (- (pow im 3)) im) (pow re 4))) (sqrt (+ (* (- (pow im 3)) im) (pow re 4))) (sqrt (+ (* (- (pow im 3)) im) (pow re 4))) (+ (pow (* (- (pow im 3)) im) 3) (pow (pow re 4) 3)) (+ (* (* (- (pow im 3)) im) (* (- (pow im 3)) im)) (- (* (pow re 4) (pow re 4)) (* (* (- (pow im 3)) im) (pow re 4)))) (- (* (* (- (pow im 3)) im) (* (- (pow im 3)) im)) (* (pow re 4) (pow re 4))) (- (* (- (pow im 3)) im) (pow re 4)) (/ (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)))) (- (* im im)) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (+ (* re re) (* im im)) (+ re im) (- re im) (- (* im im)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) re im (* -1 im) 0 (- (pow re 4) (pow im 4)) (- (pow re 4) (pow im 4)) (- (pow re 2) (pow im 2)) (- (pow re 2) (pow im 2)) (- (pow re 2) (pow im 2)) 2.348 * * * [progress]: adding candidates to table 2.786 * * [progress]: iteration 3 / 4 2.786 * * * [progress]: picking best candidate 2.791 * * * * [pick]: Picked # 2.791 * * * [progress]: localizing error 2.794 * * * [progress]: generating rewritten candidates 2.794 * * * [progress]: generating series expansions 2.795 * * * [progress]: simplifying candidates 2.795 * [simplify]: Simplifying: 2.810 * * * [progress]: adding candidates to table 2.810 * * [progress]: iteration 4 / 4 2.810 * * * [progress]: picking best candidate 2.814 * * * * [pick]: Picked # 2.814 * * * [progress]: localizing error 2.816 * * * [progress]: generating rewritten candidates 2.816 * * * [progress]: generating series expansions 2.816 * * * [progress]: simplifying candidates 2.816 * [simplify]: Simplifying: 2.831 * * * [progress]: adding candidates to table 2.831 * [progress]: [Phase 3 of 3] Extracting. 2.831 * * [regime]: Finding splitpoints for: (# # # # # #) 2.832 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 2.832 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # #) 2.866 * * * * [regimes]: Trying to branch on (* im im) from (# # #) 2.887 * * * * [regimes]: Trying to branch on (* re re) from (# # # # # #) 2.931 * * * * [regimes]: Trying to branch on (* re re) from (# # #) 2.964 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # # # #) 2.993 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # # # #) 3.026 * * * * [regimes]: Trying to branch on im from (# # # # # #) 3.058 * * * * [regimes]: Trying to branch on re from (# # # # # #) 3.099 * * * [regime]: Found split indices: #