21.884 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying: (sqrt (+ (* re re) (* im im))) 0.029 * * [simplify]: Extracting # 0 : cost 0 0.029 * * [simplify]: Extracting # 1 : cost 0 0.029 * * [simplify]: Extracting # 2 : cost 0 0.029 * * [simplify]: Extracting # 3 : cost 0 0.029 * * [simplify]: Extracting # 4 : cost 0 0.029 * * [simplify]: Extracting # 5 : cost 0 0.029 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.030 * * [simplify]: Extracting # 0 : cost 0 0.030 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 0.031 * * [simplify]: Extracting # 0 : cost 0 0.031 * * [simplify]: iteration done: 7 enodes (cost 8 ) 0.031 * [simplify]: Simplified to: (sqrt (+ (* re re) (* im im))) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.049 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.057 * * * [progress]: generating series expansions 0.058 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.058 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.058 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.058 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.058 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.058 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.058 * [taylor]: Taking taylor expansion of re in im 0.058 * [backup-simplify]: Simplify re into re 0.058 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.058 * [taylor]: Taking taylor expansion of im in im 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.058 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.058 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.059 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.059 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.060 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.060 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.060 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.060 * [taylor]: Taking taylor expansion of re in re 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.060 * [taylor]: Taking taylor expansion of im in re 0.060 * [backup-simplify]: Simplify im into im 0.060 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.060 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.060 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.060 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.061 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.061 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.061 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.061 * [taylor]: Taking taylor expansion of re in re 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.061 * [taylor]: Taking taylor expansion of im in re 0.061 * [backup-simplify]: Simplify im into im 0.061 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.061 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.061 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.062 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.062 * [backup-simplify]: Simplify (+ 0 0) into 0 0.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.062 * [taylor]: Taking taylor expansion of im in im 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [taylor]: Taking taylor expansion of 0 in im 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (* 1 1) into 1 0.063 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.064 * [backup-simplify]: Simplify (+ 1 0) into 1 0.065 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.065 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.065 * [taylor]: Taking taylor expansion of 1/2 in im 0.065 * [backup-simplify]: Simplify 1/2 into 1/2 0.065 * [taylor]: Taking taylor expansion of im in im 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.068 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.069 * [taylor]: Taking taylor expansion of 0 in im 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.070 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.070 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.071 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.071 * [taylor]: Taking taylor expansion of im in im 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (* 1 1) into 1 0.071 * [backup-simplify]: Simplify (/ 1 1) into 1 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.071 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.071 * [taylor]: Taking taylor expansion of re in im 0.072 * [backup-simplify]: Simplify re into re 0.072 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.072 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.072 * [backup-simplify]: Simplify (+ 1 0) into 1 0.073 * [backup-simplify]: Simplify (sqrt 1) into 1 0.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.075 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.075 * [taylor]: Taking taylor expansion of im in re 0.075 * [backup-simplify]: Simplify im into im 0.075 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.076 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.076 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.076 * [taylor]: Taking taylor expansion of re in re 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (* 1 1) into 1 0.076 * [backup-simplify]: Simplify (/ 1 1) into 1 0.077 * [backup-simplify]: Simplify (+ 0 1) into 1 0.077 * [backup-simplify]: Simplify (sqrt 1) into 1 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.080 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.080 * [taylor]: Taking taylor expansion of im in re 0.080 * [backup-simplify]: Simplify im into im 0.080 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.080 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.080 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.080 * [taylor]: Taking taylor expansion of re in re 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (* 1 1) into 1 0.081 * [backup-simplify]: Simplify (/ 1 1) into 1 0.082 * [backup-simplify]: Simplify (+ 0 1) into 1 0.082 * [backup-simplify]: Simplify (sqrt 1) into 1 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.085 * [taylor]: Taking taylor expansion of 1 in im 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [taylor]: Taking taylor expansion of 0 in im 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.088 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.088 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.088 * [taylor]: Taking taylor expansion of 1/2 in im 0.088 * [backup-simplify]: Simplify 1/2 into 1/2 0.088 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.088 * [taylor]: Taking taylor expansion of im in im 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (* 1 1) into 1 0.089 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.094 * [taylor]: Taking taylor expansion of 0 in im 0.094 * [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 0.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.097 * [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 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.098 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.098 * [taylor]: Taking taylor expansion of re in im 0.098 * [backup-simplify]: Simplify re into re 0.098 * [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 0.099 * [backup-simplify]: Simplify (sqrt 1) into 1 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.101 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.101 * [taylor]: Taking taylor expansion of im in re 0.101 * [backup-simplify]: Simplify im into im 0.101 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.102 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.102 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.102 * [taylor]: Taking taylor expansion of re in re 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (* 1 1) into 1 0.103 * [backup-simplify]: Simplify (/ 1 1) into 1 0.103 * [backup-simplify]: Simplify (+ 0 1) into 1 0.103 * [backup-simplify]: Simplify (sqrt 1) into 1 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.106 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.106 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.106 * [taylor]: Taking taylor expansion of im in re 0.106 * [backup-simplify]: Simplify im into im 0.106 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.106 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.106 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.106 * [taylor]: Taking taylor expansion of re in re 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (* 1 1) into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.108 * [backup-simplify]: Simplify (+ 0 1) into 1 0.108 * [backup-simplify]: Simplify (sqrt 1) into 1 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.111 * [taylor]: Taking taylor expansion of 1 in im 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [taylor]: Taking taylor expansion of 0 in im 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.114 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.114 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.114 * [taylor]: Taking taylor expansion of 1/2 in im 0.114 * [backup-simplify]: Simplify 1/2 into 1/2 0.114 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.114 * [taylor]: Taking taylor expansion of im in im 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (* 1 1) into 1 0.115 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.116 * [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 0.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.121 * [taylor]: Taking taylor expansion of 0 in im 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.123 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.124 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.124 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.124 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.124 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.124 * [taylor]: Taking taylor expansion of re in im 0.124 * [backup-simplify]: Simplify re into re 0.124 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.124 * [taylor]: Taking taylor expansion of im in im 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.124 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.124 * [taylor]: Taking taylor expansion of re in re 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.124 * [taylor]: Taking taylor expansion of im in re 0.124 * [backup-simplify]: Simplify im into im 0.124 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.124 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.124 * [taylor]: Taking taylor expansion of re in re 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.124 * [taylor]: Taking taylor expansion of im in re 0.124 * [backup-simplify]: Simplify im into im 0.124 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.125 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.125 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.125 * [taylor]: Taking taylor expansion of im in im 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [taylor]: Taking taylor expansion of 0 in im 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (* 1 1) into 1 0.135 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.135 * [backup-simplify]: Simplify (+ 1 0) into 1 0.135 * [taylor]: Taking taylor expansion of 1 in im 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.137 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [taylor]: Taking taylor expansion of 0 in im 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.139 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) 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 0 into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 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 0.140 * [backup-simplify]: Simplify (* 1 1) into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.140 * [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 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [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 0.142 * [backup-simplify]: Simplify (* 1 1) into 1 0.142 * [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 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [taylor]: Taking taylor expansion of 0 in im 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.145 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.145 * [taylor]: Taking taylor expansion of im in im 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (* 1 1) into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [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 0.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [taylor]: Taking taylor expansion of 0 in im 0.147 * [backup-simplify]: Simplify 0 into 0 0.148 * [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 0.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [taylor]: Taking taylor expansion of 0 in im 0.152 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.155 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.155 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.155 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.155 * [taylor]: Taking taylor expansion of im in im 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (* 1 1) into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.156 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.156 * [taylor]: Taking taylor expansion of re in im 0.156 * [backup-simplify]: Simplify re into re 0.156 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.156 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.156 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.156 * [taylor]: Taking taylor expansion of im in re 0.156 * [backup-simplify]: Simplify im into im 0.156 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.157 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.157 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.157 * [taylor]: Taking taylor expansion of re in re 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (* 1 1) into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.157 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.157 * [taylor]: Taking taylor expansion of im in re 0.158 * [backup-simplify]: Simplify im into im 0.158 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.158 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.158 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.158 * [taylor]: Taking taylor expansion of re in re 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (* 1 1) into 1 0.159 * [backup-simplify]: Simplify (/ 1 1) into 1 0.159 * [backup-simplify]: Simplify (+ 0 1) into 1 0.159 * [taylor]: Taking taylor expansion of 1 in im 0.159 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [taylor]: Taking taylor expansion of 0 in im 0.161 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.163 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.163 * [taylor]: Taking taylor expansion of im in im 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (* 1 1) into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [taylor]: Taking taylor expansion of 0 in im 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [taylor]: Taking taylor expansion of 0 in im 0.171 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.174 * * * [progress]: simplifying candidates 0.175 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.176 * * [simplify]: Extracting # 0 : cost 0 0.176 * * [simplify]: Extracting # 1 : cost 0 0.176 * * [simplify]: Extracting # 2 : cost 0 0.176 * * [simplify]: Extracting # 3 : cost 0 0.177 * * [simplify]: Extracting # 4 : cost 0 0.177 * * [simplify]: Extracting # 5 : cost 0 0.177 * * [simplify]: iteration 0 : 48 enodes (cost 379 ) 0.197 * * [simplify]: Extracting # 0 : cost 0 0.198 * * [simplify]: Extracting # 1 : cost 0 0.198 * * [simplify]: Extracting # 2 : cost 0 0.198 * * [simplify]: Extracting # 3 : cost 0 0.198 * * [simplify]: Extracting # 4 : cost 0 0.199 * * [simplify]: iteration 1 : 124 enodes (cost 347 ) 0.257 * * [simplify]: Extracting # 0 : cost 0 0.257 * * [simplify]: Extracting # 1 : cost 0 0.258 * * [simplify]: Extracting # 2 : cost 0 0.259 * * [simplify]: Extracting # 3 : cost 0 0.259 * * [simplify]: Extracting # 4 : cost 0 0.260 * * [simplify]: iteration 2 : 343 enodes (cost 295 ) 0.460 * * [simplify]: Extracting # 0 : cost 0 0.461 * * [simplify]: Extracting # 1 : cost 0 0.462 * * [simplify]: Extracting # 2 : cost 0 0.463 * * [simplify]: Extracting # 3 : cost 0 0.464 * * [simplify]: Extracting # 4 : cost 0 0.464 * * [simplify]: iteration 3 : 968 enodes (cost 295 ) 1.545 * * [simplify]: Extracting # 0 : cost 0 1.551 * * [simplify]: Extracting # 1 : cost 0 1.556 * * [simplify]: Extracting # 2 : cost 0 1.560 * * [simplify]: Extracting # 3 : cost 0 1.565 * * [simplify]: Extracting # 4 : cost 0 1.570 * * [simplify]: iteration 4 : 2668 enodes (cost 295 ) 3.077 * * [simplify]: Extracting # 0 : cost 0 3.082 * * [simplify]: Extracting # 1 : cost 0 3.097 * * [simplify]: Extracting # 2 : cost 0 3.107 * * [simplify]: Extracting # 3 : cost 0 3.117 * * [simplify]: Extracting # 4 : cost 0 3.126 * * [simplify]: iteration done: 5000 enodes (cost 295 ) 3.126 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow im 6) (pow re 6)) (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) im re (- re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 3.126 * * * [progress]: adding candidates to table 3.200 * * [progress]: iteration 2 / 4 3.200 * * * [progress]: picking best candidate 3.210 * * * * [pick]: Picked # 3.210 * * * [progress]: localizing error 3.224 * * * [progress]: generating rewritten candidates 3.224 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 3.232 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 3.240 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.307 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 3.326 * * * [progress]: generating series expansions 3.326 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 3.326 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 3.326 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.326 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.326 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.326 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.326 * [taylor]: Taking taylor expansion of re in im 3.326 * [backup-simplify]: Simplify re into re 3.326 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.326 * [taylor]: Taking taylor expansion of im in im 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify 1 into 1 3.326 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.327 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.327 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.327 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.327 * [backup-simplify]: Simplify (+ 0 0) into 0 3.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.327 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.327 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.327 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.327 * [taylor]: Taking taylor expansion of re in re 3.328 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify 1 into 1 3.328 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.328 * [taylor]: Taking taylor expansion of im in re 3.328 * [backup-simplify]: Simplify im into im 3.328 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.328 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.328 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.328 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.328 * [backup-simplify]: Simplify (+ 0 0) into 0 3.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.328 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.328 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.328 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.328 * [taylor]: Taking taylor expansion of re in re 3.328 * [backup-simplify]: Simplify 0 into 0 3.328 * [backup-simplify]: Simplify 1 into 1 3.328 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.328 * [taylor]: Taking taylor expansion of im in re 3.328 * [backup-simplify]: Simplify im into im 3.328 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.328 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.329 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.329 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.329 * [backup-simplify]: Simplify (+ 0 0) into 0 3.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.329 * [taylor]: Taking taylor expansion of im in im 3.329 * [backup-simplify]: Simplify 0 into 0 3.329 * [backup-simplify]: Simplify 1 into 1 3.329 * [backup-simplify]: Simplify 0 into 0 3.329 * [taylor]: Taking taylor expansion of 0 in im 3.329 * [backup-simplify]: Simplify 0 into 0 3.329 * [backup-simplify]: Simplify 0 into 0 3.329 * [backup-simplify]: Simplify 1 into 1 3.329 * [backup-simplify]: Simplify (* 1 1) into 1 3.330 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.330 * [backup-simplify]: Simplify (+ 1 0) into 1 3.330 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.331 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.331 * [taylor]: Taking taylor expansion of 1/2 in im 3.331 * [backup-simplify]: Simplify 1/2 into 1/2 3.331 * [taylor]: Taking taylor expansion of im in im 3.331 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify 1 into 1 3.331 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.331 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify 0 into 0 3.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.332 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.333 * [backup-simplify]: Simplify (+ 0 0) into 0 3.333 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.333 * [taylor]: Taking taylor expansion of 0 in im 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.334 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.334 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.334 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.334 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.334 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.334 * [taylor]: Taking taylor expansion of im in im 3.334 * [backup-simplify]: Simplify 0 into 0 3.334 * [backup-simplify]: Simplify 1 into 1 3.334 * [backup-simplify]: Simplify (* 1 1) into 1 3.334 * [backup-simplify]: Simplify (/ 1 1) into 1 3.334 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.334 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.334 * [taylor]: Taking taylor expansion of re in im 3.334 * [backup-simplify]: Simplify re into re 3.334 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.335 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.335 * [backup-simplify]: Simplify (+ 1 0) into 1 3.335 * [backup-simplify]: Simplify (sqrt 1) into 1 3.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.336 * [backup-simplify]: Simplify (+ 0 0) into 0 3.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.337 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.337 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.337 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.337 * [taylor]: Taking taylor expansion of im in re 3.337 * [backup-simplify]: Simplify im into im 3.337 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.337 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.337 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.337 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.337 * [taylor]: Taking taylor expansion of re in re 3.337 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify 1 into 1 3.337 * [backup-simplify]: Simplify (* 1 1) into 1 3.337 * [backup-simplify]: Simplify (/ 1 1) into 1 3.338 * [backup-simplify]: Simplify (+ 0 1) into 1 3.338 * [backup-simplify]: Simplify (sqrt 1) into 1 3.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.339 * [backup-simplify]: Simplify (+ 0 0) into 0 3.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.339 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.340 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.340 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.340 * [taylor]: Taking taylor expansion of im in re 3.340 * [backup-simplify]: Simplify im into im 3.340 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.340 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.340 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.340 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.340 * [taylor]: Taking taylor expansion of re in re 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify 1 into 1 3.340 * [backup-simplify]: Simplify (* 1 1) into 1 3.340 * [backup-simplify]: Simplify (/ 1 1) into 1 3.341 * [backup-simplify]: Simplify (+ 0 1) into 1 3.341 * [backup-simplify]: Simplify (sqrt 1) into 1 3.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.342 * [backup-simplify]: Simplify (+ 0 0) into 0 3.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.342 * [taylor]: Taking taylor expansion of 1 in im 3.342 * [backup-simplify]: Simplify 1 into 1 3.342 * [taylor]: Taking taylor expansion of 0 in im 3.342 * [backup-simplify]: Simplify 0 into 0 3.342 * [backup-simplify]: Simplify 1 into 1 3.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.344 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.344 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.344 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.344 * [taylor]: Taking taylor expansion of 1/2 in im 3.344 * [backup-simplify]: Simplify 1/2 into 1/2 3.344 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.345 * [taylor]: Taking taylor expansion of im in im 3.345 * [backup-simplify]: Simplify 0 into 0 3.345 * [backup-simplify]: Simplify 1 into 1 3.345 * [backup-simplify]: Simplify (* 1 1) into 1 3.345 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.346 * [backup-simplify]: Simplify 0 into 0 3.346 * [backup-simplify]: Simplify 0 into 0 3.346 * [backup-simplify]: Simplify 0 into 0 3.346 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.348 * [backup-simplify]: Simplify (+ 0 0) into 0 3.348 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.348 * [taylor]: Taking taylor expansion of 0 in im 3.348 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.349 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.349 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.350 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.350 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.350 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.350 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.350 * [taylor]: Taking taylor expansion of im in im 3.350 * [backup-simplify]: Simplify 0 into 0 3.350 * [backup-simplify]: Simplify 1 into 1 3.350 * [backup-simplify]: Simplify (* 1 1) into 1 3.350 * [backup-simplify]: Simplify (/ 1 1) into 1 3.350 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.350 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.350 * [taylor]: Taking taylor expansion of re in im 3.350 * [backup-simplify]: Simplify re into re 3.350 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.350 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.351 * [backup-simplify]: Simplify (+ 1 0) into 1 3.351 * [backup-simplify]: Simplify (sqrt 1) into 1 3.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.352 * [backup-simplify]: Simplify (+ 0 0) into 0 3.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.352 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.352 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.352 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.352 * [taylor]: Taking taylor expansion of im in re 3.352 * [backup-simplify]: Simplify im into im 3.352 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.353 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.353 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.353 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.353 * [taylor]: Taking taylor expansion of re in re 3.353 * [backup-simplify]: Simplify 0 into 0 3.353 * [backup-simplify]: Simplify 1 into 1 3.353 * [backup-simplify]: Simplify (* 1 1) into 1 3.353 * [backup-simplify]: Simplify (/ 1 1) into 1 3.353 * [backup-simplify]: Simplify (+ 0 1) into 1 3.354 * [backup-simplify]: Simplify (sqrt 1) into 1 3.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.355 * [backup-simplify]: Simplify (+ 0 0) into 0 3.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.355 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.355 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.355 * [taylor]: Taking taylor expansion of im in re 3.355 * [backup-simplify]: Simplify im into im 3.355 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.355 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.355 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.355 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.355 * [taylor]: Taking taylor expansion of re in re 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify 1 into 1 3.356 * [backup-simplify]: Simplify (* 1 1) into 1 3.356 * [backup-simplify]: Simplify (/ 1 1) into 1 3.356 * [backup-simplify]: Simplify (+ 0 1) into 1 3.356 * [backup-simplify]: Simplify (sqrt 1) into 1 3.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.357 * [backup-simplify]: Simplify (+ 0 0) into 0 3.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.358 * [taylor]: Taking taylor expansion of 1 in im 3.358 * [backup-simplify]: Simplify 1 into 1 3.358 * [taylor]: Taking taylor expansion of 0 in im 3.358 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify 1 into 1 3.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.359 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.360 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.360 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.360 * [taylor]: Taking taylor expansion of 1/2 in im 3.360 * [backup-simplify]: Simplify 1/2 into 1/2 3.360 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.360 * [taylor]: Taking taylor expansion of im in im 3.360 * [backup-simplify]: Simplify 0 into 0 3.360 * [backup-simplify]: Simplify 1 into 1 3.360 * [backup-simplify]: Simplify (* 1 1) into 1 3.361 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.362 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.363 * [backup-simplify]: Simplify (+ 0 0) into 0 3.364 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.364 * [taylor]: Taking taylor expansion of 0 in im 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.365 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.365 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 3.365 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 3.365 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.365 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.365 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.365 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.365 * [taylor]: Taking taylor expansion of re in im 3.365 * [backup-simplify]: Simplify re into re 3.365 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.366 * [taylor]: Taking taylor expansion of im in im 3.366 * [backup-simplify]: Simplify 0 into 0 3.366 * [backup-simplify]: Simplify 1 into 1 3.366 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.366 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.366 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.366 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.366 * [backup-simplify]: Simplify (+ 0 0) into 0 3.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.366 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.366 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.366 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.366 * [taylor]: Taking taylor expansion of re in re 3.366 * [backup-simplify]: Simplify 0 into 0 3.366 * [backup-simplify]: Simplify 1 into 1 3.366 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.366 * [taylor]: Taking taylor expansion of im in re 3.366 * [backup-simplify]: Simplify im into im 3.366 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.366 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.367 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.367 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.367 * [backup-simplify]: Simplify (+ 0 0) into 0 3.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.367 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.367 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.367 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.367 * [taylor]: Taking taylor expansion of re in re 3.367 * [backup-simplify]: Simplify 0 into 0 3.367 * [backup-simplify]: Simplify 1 into 1 3.367 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.367 * [taylor]: Taking taylor expansion of im in re 3.367 * [backup-simplify]: Simplify im into im 3.367 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.367 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.367 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.367 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.368 * [backup-simplify]: Simplify (+ 0 0) into 0 3.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.368 * [taylor]: Taking taylor expansion of im in im 3.368 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify 1 into 1 3.368 * [backup-simplify]: Simplify 0 into 0 3.368 * [taylor]: Taking taylor expansion of 0 in im 3.368 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify 1 into 1 3.368 * [backup-simplify]: Simplify (* 1 1) into 1 3.368 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.369 * [backup-simplify]: Simplify (+ 1 0) into 1 3.369 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.369 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.369 * [taylor]: Taking taylor expansion of 1/2 in im 3.369 * [backup-simplify]: Simplify 1/2 into 1/2 3.369 * [taylor]: Taking taylor expansion of im in im 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify 1 into 1 3.370 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.371 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.371 * [backup-simplify]: Simplify (+ 0 0) into 0 3.371 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.371 * [taylor]: Taking taylor expansion of 0 in im 3.371 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify 0 into 0 3.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.372 * [backup-simplify]: Simplify 0 into 0 3.372 * [backup-simplify]: Simplify 0 into 0 3.372 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.372 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.372 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.372 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.372 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.372 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.372 * [taylor]: Taking taylor expansion of im in im 3.372 * [backup-simplify]: Simplify 0 into 0 3.372 * [backup-simplify]: Simplify 1 into 1 3.373 * [backup-simplify]: Simplify (* 1 1) into 1 3.373 * [backup-simplify]: Simplify (/ 1 1) into 1 3.373 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.373 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.373 * [taylor]: Taking taylor expansion of re in im 3.373 * [backup-simplify]: Simplify re into re 3.373 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.373 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.373 * [backup-simplify]: Simplify (+ 1 0) into 1 3.374 * [backup-simplify]: Simplify (sqrt 1) into 1 3.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.375 * [backup-simplify]: Simplify (+ 0 0) into 0 3.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.375 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.375 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.375 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.375 * [taylor]: Taking taylor expansion of im in re 3.375 * [backup-simplify]: Simplify im into im 3.375 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.375 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.375 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.375 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.375 * [taylor]: Taking taylor expansion of re in re 3.375 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify 1 into 1 3.376 * [backup-simplify]: Simplify (* 1 1) into 1 3.376 * [backup-simplify]: Simplify (/ 1 1) into 1 3.376 * [backup-simplify]: Simplify (+ 0 1) into 1 3.376 * [backup-simplify]: Simplify (sqrt 1) into 1 3.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.381 * [backup-simplify]: Simplify (+ 0 0) into 0 3.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.381 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.381 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.381 * [taylor]: Taking taylor expansion of im in re 3.381 * [backup-simplify]: Simplify im into im 3.381 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.382 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.382 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.382 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.382 * [taylor]: Taking taylor expansion of re in re 3.382 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify 1 into 1 3.382 * [backup-simplify]: Simplify (* 1 1) into 1 3.382 * [backup-simplify]: Simplify (/ 1 1) into 1 3.382 * [backup-simplify]: Simplify (+ 0 1) into 1 3.383 * [backup-simplify]: Simplify (sqrt 1) into 1 3.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.384 * [backup-simplify]: Simplify (+ 0 0) into 0 3.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.384 * [taylor]: Taking taylor expansion of 1 in im 3.384 * [backup-simplify]: Simplify 1 into 1 3.384 * [taylor]: Taking taylor expansion of 0 in im 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify 1 into 1 3.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.386 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.387 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.387 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.387 * [taylor]: Taking taylor expansion of 1/2 in im 3.387 * [backup-simplify]: Simplify 1/2 into 1/2 3.387 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.387 * [taylor]: Taking taylor expansion of im in im 3.387 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify 1 into 1 3.387 * [backup-simplify]: Simplify (* 1 1) into 1 3.387 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.388 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.390 * [backup-simplify]: Simplify (+ 0 0) into 0 3.390 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.390 * [taylor]: Taking taylor expansion of 0 in im 3.390 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.391 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.392 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.392 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.392 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.392 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.392 * [taylor]: Taking taylor expansion of im in im 3.392 * [backup-simplify]: Simplify 0 into 0 3.392 * [backup-simplify]: Simplify 1 into 1 3.392 * [backup-simplify]: Simplify (* 1 1) into 1 3.392 * [backup-simplify]: Simplify (/ 1 1) into 1 3.392 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.392 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.392 * [taylor]: Taking taylor expansion of re in im 3.392 * [backup-simplify]: Simplify re into re 3.392 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.392 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.393 * [backup-simplify]: Simplify (+ 1 0) into 1 3.393 * [backup-simplify]: Simplify (sqrt 1) into 1 3.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.394 * [backup-simplify]: Simplify (+ 0 0) into 0 3.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.394 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.394 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.394 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.395 * [taylor]: Taking taylor expansion of im in re 3.395 * [backup-simplify]: Simplify im into im 3.395 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.395 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.395 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.395 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.395 * [taylor]: Taking taylor expansion of re in re 3.395 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify 1 into 1 3.395 * [backup-simplify]: Simplify (* 1 1) into 1 3.395 * [backup-simplify]: Simplify (/ 1 1) into 1 3.396 * [backup-simplify]: Simplify (+ 0 1) into 1 3.396 * [backup-simplify]: Simplify (sqrt 1) into 1 3.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.397 * [backup-simplify]: Simplify (+ 0 0) into 0 3.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.397 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.397 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.397 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.397 * [taylor]: Taking taylor expansion of im in re 3.397 * [backup-simplify]: Simplify im into im 3.397 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.397 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.397 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.397 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.398 * [taylor]: Taking taylor expansion of re in re 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify 1 into 1 3.398 * [backup-simplify]: Simplify (* 1 1) into 1 3.398 * [backup-simplify]: Simplify (/ 1 1) into 1 3.398 * [backup-simplify]: Simplify (+ 0 1) into 1 3.398 * [backup-simplify]: Simplify (sqrt 1) into 1 3.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.400 * [backup-simplify]: Simplify (+ 0 0) into 0 3.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.400 * [taylor]: Taking taylor expansion of 1 in im 3.400 * [backup-simplify]: Simplify 1 into 1 3.400 * [taylor]: Taking taylor expansion of 0 in im 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify 1 into 1 3.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.401 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.402 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.402 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.402 * [taylor]: Taking taylor expansion of 1/2 in im 3.402 * [backup-simplify]: Simplify 1/2 into 1/2 3.402 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.402 * [taylor]: Taking taylor expansion of im in im 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify 1 into 1 3.402 * [backup-simplify]: Simplify (* 1 1) into 1 3.403 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.404 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.405 * [backup-simplify]: Simplify (+ 0 0) into 0 3.406 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.406 * [taylor]: Taking taylor expansion of 0 in im 3.406 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.407 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.407 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.407 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 3.407 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.407 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.407 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.407 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.407 * [taylor]: Taking taylor expansion of re in im 3.407 * [backup-simplify]: Simplify re into re 3.407 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.408 * [taylor]: Taking taylor expansion of im in im 3.408 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify 1 into 1 3.408 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.408 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.408 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.408 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.408 * [backup-simplify]: Simplify (+ 0 0) into 0 3.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.409 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.409 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.409 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.409 * [taylor]: Taking taylor expansion of re in re 3.409 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify 1 into 1 3.409 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.409 * [taylor]: Taking taylor expansion of im in re 3.409 * [backup-simplify]: Simplify im into im 3.409 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.409 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.409 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.409 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.410 * [backup-simplify]: Simplify (+ 0 0) into 0 3.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.410 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.410 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.410 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.410 * [taylor]: Taking taylor expansion of re in re 3.410 * [backup-simplify]: Simplify 0 into 0 3.410 * [backup-simplify]: Simplify 1 into 1 3.410 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.410 * [taylor]: Taking taylor expansion of im in re 3.410 * [backup-simplify]: Simplify im into im 3.410 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.410 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.411 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.411 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.411 * [backup-simplify]: Simplify (+ 0 0) into 0 3.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.412 * [taylor]: Taking taylor expansion of im in im 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify 1 into 1 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [taylor]: Taking taylor expansion of 0 in im 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify 1 into 1 3.412 * [backup-simplify]: Simplify (* 1 1) into 1 3.413 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.413 * [backup-simplify]: Simplify (+ 1 0) into 1 3.414 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.414 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.414 * [taylor]: Taking taylor expansion of 1/2 in im 3.414 * [backup-simplify]: Simplify 1/2 into 1/2 3.414 * [taylor]: Taking taylor expansion of im in im 3.414 * [backup-simplify]: Simplify 0 into 0 3.414 * [backup-simplify]: Simplify 1 into 1 3.414 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.415 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify 0 into 0 3.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.417 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.417 * [backup-simplify]: Simplify (+ 0 0) into 0 3.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.417 * [taylor]: Taking taylor expansion of 0 in im 3.417 * [backup-simplify]: Simplify 0 into 0 3.418 * [backup-simplify]: Simplify 0 into 0 3.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.419 * [backup-simplify]: Simplify 0 into 0 3.419 * [backup-simplify]: Simplify 0 into 0 3.419 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.419 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.419 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.419 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.420 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.420 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.420 * [taylor]: Taking taylor expansion of im in im 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify 1 into 1 3.420 * [backup-simplify]: Simplify (* 1 1) into 1 3.420 * [backup-simplify]: Simplify (/ 1 1) into 1 3.420 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.420 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.421 * [taylor]: Taking taylor expansion of re in im 3.421 * [backup-simplify]: Simplify re into re 3.421 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.421 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.421 * [backup-simplify]: Simplify (+ 1 0) into 1 3.422 * [backup-simplify]: Simplify (sqrt 1) into 1 3.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.423 * [backup-simplify]: Simplify (+ 0 0) into 0 3.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.424 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.424 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.424 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.424 * [taylor]: Taking taylor expansion of im in re 3.424 * [backup-simplify]: Simplify im into im 3.424 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.425 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.425 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.425 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.425 * [taylor]: Taking taylor expansion of re in re 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify 1 into 1 3.425 * [backup-simplify]: Simplify (* 1 1) into 1 3.425 * [backup-simplify]: Simplify (/ 1 1) into 1 3.426 * [backup-simplify]: Simplify (+ 0 1) into 1 3.426 * [backup-simplify]: Simplify (sqrt 1) into 1 3.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.428 * [backup-simplify]: Simplify (+ 0 0) into 0 3.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.429 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.429 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.429 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.429 * [taylor]: Taking taylor expansion of im in re 3.429 * [backup-simplify]: Simplify im into im 3.429 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.429 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.429 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.429 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.429 * [taylor]: Taking taylor expansion of re in re 3.429 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify 1 into 1 3.430 * [backup-simplify]: Simplify (* 1 1) into 1 3.430 * [backup-simplify]: Simplify (/ 1 1) into 1 3.430 * [backup-simplify]: Simplify (+ 0 1) into 1 3.431 * [backup-simplify]: Simplify (sqrt 1) into 1 3.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.432 * [backup-simplify]: Simplify (+ 0 0) into 0 3.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.433 * [taylor]: Taking taylor expansion of 1 in im 3.433 * [backup-simplify]: Simplify 1 into 1 3.433 * [taylor]: Taking taylor expansion of 0 in im 3.433 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify 1 into 1 3.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.435 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.437 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.437 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.437 * [taylor]: Taking taylor expansion of 1/2 in im 3.437 * [backup-simplify]: Simplify 1/2 into 1/2 3.437 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.437 * [taylor]: Taking taylor expansion of im in im 3.437 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify 1 into 1 3.437 * [backup-simplify]: Simplify (* 1 1) into 1 3.438 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.441 * [backup-simplify]: Simplify (+ 0 0) into 0 3.441 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.441 * [taylor]: Taking taylor expansion of 0 in im 3.441 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.442 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify 0 into 0 3.443 * [backup-simplify]: Simplify 0 into 0 3.443 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.443 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.443 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.443 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.443 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.443 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.443 * [taylor]: Taking taylor expansion of im in im 3.443 * [backup-simplify]: Simplify 0 into 0 3.443 * [backup-simplify]: Simplify 1 into 1 3.443 * [backup-simplify]: Simplify (* 1 1) into 1 3.444 * [backup-simplify]: Simplify (/ 1 1) into 1 3.444 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.444 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.444 * [taylor]: Taking taylor expansion of re in im 3.444 * [backup-simplify]: Simplify re into re 3.444 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.444 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.444 * [backup-simplify]: Simplify (+ 1 0) into 1 3.444 * [backup-simplify]: Simplify (sqrt 1) into 1 3.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.445 * [backup-simplify]: Simplify (+ 0 0) into 0 3.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.446 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.446 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.446 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.446 * [taylor]: Taking taylor expansion of im in re 3.446 * [backup-simplify]: Simplify im into im 3.446 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.446 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.446 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.446 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.446 * [taylor]: Taking taylor expansion of re in re 3.446 * [backup-simplify]: Simplify 0 into 0 3.446 * [backup-simplify]: Simplify 1 into 1 3.446 * [backup-simplify]: Simplify (* 1 1) into 1 3.447 * [backup-simplify]: Simplify (/ 1 1) into 1 3.447 * [backup-simplify]: Simplify (+ 0 1) into 1 3.447 * [backup-simplify]: Simplify (sqrt 1) into 1 3.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.448 * [backup-simplify]: Simplify (+ 0 0) into 0 3.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.449 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.449 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.449 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.449 * [taylor]: Taking taylor expansion of im in re 3.449 * [backup-simplify]: Simplify im into im 3.449 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.449 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.449 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.449 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.449 * [taylor]: Taking taylor expansion of re in re 3.449 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify 1 into 1 3.449 * [backup-simplify]: Simplify (* 1 1) into 1 3.449 * [backup-simplify]: Simplify (/ 1 1) into 1 3.450 * [backup-simplify]: Simplify (+ 0 1) into 1 3.450 * [backup-simplify]: Simplify (sqrt 1) into 1 3.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.451 * [backup-simplify]: Simplify (+ 0 0) into 0 3.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.451 * [taylor]: Taking taylor expansion of 1 in im 3.451 * [backup-simplify]: Simplify 1 into 1 3.451 * [taylor]: Taking taylor expansion of 0 in im 3.452 * [backup-simplify]: Simplify 0 into 0 3.452 * [backup-simplify]: Simplify 1 into 1 3.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.453 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.455 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.455 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.455 * [taylor]: Taking taylor expansion of 1/2 in im 3.455 * [backup-simplify]: Simplify 1/2 into 1/2 3.455 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.455 * [taylor]: Taking taylor expansion of im in im 3.455 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify 1 into 1 3.455 * [backup-simplify]: Simplify (* 1 1) into 1 3.456 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.457 * [backup-simplify]: Simplify 0 into 0 3.457 * [backup-simplify]: Simplify 0 into 0 3.457 * [backup-simplify]: Simplify 0 into 0 3.457 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.460 * [backup-simplify]: Simplify (+ 0 0) into 0 3.460 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.460 * [taylor]: Taking taylor expansion of 0 in im 3.460 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.462 * [backup-simplify]: Simplify 0 into 0 3.462 * [backup-simplify]: Simplify 0 into 0 3.462 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.463 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 3.463 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 3.463 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 3.463 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.463 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.463 * [taylor]: Taking taylor expansion of re in im 3.463 * [backup-simplify]: Simplify re into re 3.463 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.463 * [taylor]: Taking taylor expansion of im in im 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify 1 into 1 3.463 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.463 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.463 * [taylor]: Taking taylor expansion of re in re 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify 1 into 1 3.463 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.463 * [taylor]: Taking taylor expansion of im in re 3.463 * [backup-simplify]: Simplify im into im 3.463 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.463 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.463 * [taylor]: Taking taylor expansion of re in re 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify 1 into 1 3.463 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.464 * [taylor]: Taking taylor expansion of im in re 3.464 * [backup-simplify]: Simplify im into im 3.464 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.464 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.464 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.464 * [taylor]: Taking taylor expansion of im in im 3.464 * [backup-simplify]: Simplify 0 into 0 3.464 * [backup-simplify]: Simplify 1 into 1 3.464 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.464 * [backup-simplify]: Simplify (+ 0 0) into 0 3.464 * [taylor]: Taking taylor expansion of 0 in im 3.464 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify (* 1 1) into 1 3.465 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.466 * [backup-simplify]: Simplify (+ 1 0) into 1 3.466 * [taylor]: Taking taylor expansion of 1 in im 3.466 * [backup-simplify]: Simplify 1 into 1 3.466 * [backup-simplify]: Simplify 1 into 1 3.466 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify (* 1 1) into 1 3.466 * [backup-simplify]: Simplify 1 into 1 3.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.468 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.468 * [backup-simplify]: Simplify (+ 0 0) into 0 3.468 * [taylor]: Taking taylor expansion of 0 in im 3.468 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.469 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.471 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 3.471 * [backup-simplify]: Simplify (+ 0 0) into 0 3.471 * [taylor]: Taking taylor expansion of 0 in im 3.471 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 3.472 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 3.472 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 3.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.472 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.472 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.472 * [taylor]: Taking taylor expansion of im in im 3.472 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify 1 into 1 3.472 * [backup-simplify]: Simplify (* 1 1) into 1 3.473 * [backup-simplify]: Simplify (/ 1 1) into 1 3.473 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.473 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.473 * [taylor]: Taking taylor expansion of re in im 3.473 * [backup-simplify]: Simplify re into re 3.473 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.473 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.473 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.473 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.473 * [taylor]: Taking taylor expansion of im in re 3.473 * [backup-simplify]: Simplify im into im 3.473 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.473 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.473 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.473 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.473 * [taylor]: Taking taylor expansion of re in re 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify 1 into 1 3.474 * [backup-simplify]: Simplify (* 1 1) into 1 3.474 * [backup-simplify]: Simplify (/ 1 1) into 1 3.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.474 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.474 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.474 * [taylor]: Taking taylor expansion of im in re 3.474 * [backup-simplify]: Simplify im into im 3.474 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.474 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.474 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.474 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.475 * [taylor]: Taking taylor expansion of re in re 3.475 * [backup-simplify]: Simplify 0 into 0 3.475 * [backup-simplify]: Simplify 1 into 1 3.475 * [backup-simplify]: Simplify (* 1 1) into 1 3.475 * [backup-simplify]: Simplify (/ 1 1) into 1 3.476 * [backup-simplify]: Simplify (+ 0 1) into 1 3.476 * [taylor]: Taking taylor expansion of 1 in im 3.476 * [backup-simplify]: Simplify 1 into 1 3.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.477 * [backup-simplify]: Simplify (+ 0 0) into 0 3.477 * [taylor]: Taking taylor expansion of 0 in im 3.477 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.479 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.479 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.479 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.479 * [taylor]: Taking taylor expansion of im in im 3.479 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify 1 into 1 3.480 * [backup-simplify]: Simplify (* 1 1) into 1 3.480 * [backup-simplify]: Simplify (/ 1 1) into 1 3.480 * [backup-simplify]: Simplify 1 into 1 3.480 * [backup-simplify]: Simplify 1 into 1 3.480 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.483 * [backup-simplify]: Simplify (+ 0 0) into 0 3.483 * [taylor]: Taking taylor expansion of 0 in im 3.483 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.484 * [backup-simplify]: Simplify 0 into 0 3.484 * [backup-simplify]: Simplify 0 into 0 3.484 * [backup-simplify]: Simplify 0 into 0 3.485 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 3.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.487 * [backup-simplify]: Simplify (+ 0 0) into 0 3.487 * [taylor]: Taking taylor expansion of 0 in im 3.487 * [backup-simplify]: Simplify 0 into 0 3.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.489 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 3.490 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 3.490 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 3.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.490 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.490 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.490 * [taylor]: Taking taylor expansion of im in im 3.490 * [backup-simplify]: Simplify 0 into 0 3.490 * [backup-simplify]: Simplify 1 into 1 3.490 * [backup-simplify]: Simplify (* 1 1) into 1 3.491 * [backup-simplify]: Simplify (/ 1 1) into 1 3.491 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.491 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.491 * [taylor]: Taking taylor expansion of re in im 3.491 * [backup-simplify]: Simplify re into re 3.491 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.491 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.491 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.491 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.491 * [taylor]: Taking taylor expansion of im in re 3.491 * [backup-simplify]: Simplify im into im 3.491 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.491 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.491 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.491 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.491 * [taylor]: Taking taylor expansion of re in re 3.491 * [backup-simplify]: Simplify 0 into 0 3.491 * [backup-simplify]: Simplify 1 into 1 3.492 * [backup-simplify]: Simplify (* 1 1) into 1 3.492 * [backup-simplify]: Simplify (/ 1 1) into 1 3.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.492 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.492 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.492 * [taylor]: Taking taylor expansion of im in re 3.492 * [backup-simplify]: Simplify im into im 3.492 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.493 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.493 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.493 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.493 * [taylor]: Taking taylor expansion of re in re 3.493 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify 1 into 1 3.493 * [backup-simplify]: Simplify (* 1 1) into 1 3.493 * [backup-simplify]: Simplify (/ 1 1) into 1 3.494 * [backup-simplify]: Simplify (+ 0 1) into 1 3.494 * [taylor]: Taking taylor expansion of 1 in im 3.494 * [backup-simplify]: Simplify 1 into 1 3.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.496 * [backup-simplify]: Simplify (+ 0 0) into 0 3.496 * [taylor]: Taking taylor expansion of 0 in im 3.496 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.498 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.498 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.498 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.498 * [taylor]: Taking taylor expansion of im in im 3.498 * [backup-simplify]: Simplify 0 into 0 3.498 * [backup-simplify]: Simplify 1 into 1 3.498 * [backup-simplify]: Simplify (* 1 1) into 1 3.499 * [backup-simplify]: Simplify (/ 1 1) into 1 3.499 * [backup-simplify]: Simplify 1 into 1 3.499 * [backup-simplify]: Simplify 1 into 1 3.499 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.502 * [backup-simplify]: Simplify (+ 0 0) into 0 3.502 * [taylor]: Taking taylor expansion of 0 in im 3.502 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.507 * [backup-simplify]: Simplify 0 into 0 3.507 * [backup-simplify]: Simplify 0 into 0 3.507 * [backup-simplify]: Simplify 0 into 0 3.507 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 3.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.509 * [backup-simplify]: Simplify (+ 0 0) into 0 3.509 * [taylor]: Taking taylor expansion of 0 in im 3.509 * [backup-simplify]: Simplify 0 into 0 3.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.510 * [backup-simplify]: Simplify 0 into 0 3.510 * [backup-simplify]: Simplify 0 into 0 3.510 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 3.511 * * * [progress]: simplifying candidates 3.513 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt 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cost 0 3.516 * * [simplify]: Extracting # 1 : cost 0 3.516 * * [simplify]: Extracting # 2 : cost 0 3.516 * * [simplify]: Extracting # 3 : cost 0 3.516 * * [simplify]: Extracting # 4 : cost 0 3.517 * * [simplify]: Extracting # 5 : cost 0 3.517 * * [simplify]: Extracting # 6 : cost 0 3.517 * * [simplify]: iteration 0 : 121 enodes (cost 2803 ) 3.556 * * [simplify]: Extracting # 0 : cost 0 3.556 * * [simplify]: Extracting # 1 : cost 0 3.556 * * [simplify]: Extracting # 2 : cost 0 3.557 * * [simplify]: Extracting # 3 : cost 0 3.557 * * [simplify]: Extracting # 4 : cost 0 3.557 * * [simplify]: iteration 1 : 233 enodes (cost 1759 ) 3.649 * * [simplify]: Extracting # 0 : cost 0 3.651 * * [simplify]: Extracting # 1 : cost 0 3.652 * * [simplify]: Extracting # 2 : cost 0 3.653 * * [simplify]: Extracting # 3 : cost 0 3.654 * * [simplify]: Extracting # 4 : cost 0 3.655 * * [simplify]: iteration 2 : 638 enodes (cost 1533 ) 4.242 * * [simplify]: Extracting # 0 : cost 0 4.245 * * [simplify]: Extracting # 1 : cost 0 4.247 * * [simplify]: Extracting # 2 : cost 0 4.250 * * [simplify]: Extracting # 3 : cost 0 4.252 * * [simplify]: Extracting # 4 : cost 0 4.254 * * [simplify]: iteration 3 : 2187 enodes (cost 1496 ) 5.316 * * [simplify]: Extracting # 0 : cost 0 5.326 * * [simplify]: Extracting # 1 : cost 0 5.337 * * [simplify]: Extracting # 2 : cost 0 5.347 * * [simplify]: Extracting # 3 : cost 0 5.358 * * [simplify]: Extracting # 4 : cost 0 5.373 * * [simplify]: iteration done: 5000 enodes (cost 1457 ) 5.374 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* 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(+ (* re re) (* im im)))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (+ (* re re) (* im im))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (+ (* re re) (* im im))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (+ (* re re) (* im im))) (* (sqrt (sqrt (+ (pow im 2) (pow re 2)))) (sqrt (sqrt (+ (pow im 6) (pow re 6))))) (* (sqrt (sqrt (- (pow re 4) (pow im 4)))) (sqrt (sqrt (+ (pow im 2) (pow re 2))))) (* (sqrt (sqrt (+ (pow im 2) (pow re 2)))) (sqrt (sqrt (+ (pow im 6) (pow re 6))))) (* (sqrt (sqrt (- (pow re 4) (pow im 4)))) (sqrt (sqrt (+ (pow im 2) (pow re 2))))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* im im) (* re re)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow im 6) (pow re 6)) (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)) (- (pow re 4) (pow im 4)) (- (* re re) (pow im 2)) im re (- re) im re (- re) im re (- re) (+ (* im im) (* re re)) (+ (* im im) (* re re)) (+ (* im im) (* re re)) 5.375 * * * [progress]: adding candidates to table 5.663 * * [progress]: iteration 3 / 4 5.663 * * * [progress]: picking best candidate 5.670 * * * * [pick]: Picked # 5.671 * * * [progress]: localizing error 5.708 * * * [progress]: generating rewritten candidates 5.708 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 5.717 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 5.725 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 5.733 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 5.744 * * * [progress]: generating series expansions 5.744 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 5.744 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 5.744 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 5.744 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.744 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.744 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.744 * [taylor]: Taking taylor expansion of re in im 5.744 * [backup-simplify]: Simplify re into re 5.744 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.744 * [taylor]: Taking taylor expansion of im in im 5.744 * [backup-simplify]: Simplify 0 into 0 5.744 * [backup-simplify]: Simplify 1 into 1 5.745 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.745 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.745 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.745 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.746 * [backup-simplify]: Simplify (+ 0 0) into 0 5.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.746 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.746 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.746 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.746 * [taylor]: Taking taylor expansion of re in re 5.746 * [backup-simplify]: Simplify 0 into 0 5.746 * [backup-simplify]: Simplify 1 into 1 5.746 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.746 * [taylor]: Taking taylor expansion of im in re 5.746 * [backup-simplify]: Simplify im into im 5.746 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.746 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.746 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.746 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.747 * [backup-simplify]: Simplify (+ 0 0) into 0 5.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.747 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.747 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.747 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.747 * [taylor]: Taking taylor expansion of re in re 5.747 * [backup-simplify]: Simplify 0 into 0 5.747 * [backup-simplify]: Simplify 1 into 1 5.747 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.747 * [taylor]: Taking taylor expansion of im in re 5.747 * [backup-simplify]: Simplify im into im 5.747 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.747 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.748 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.748 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.748 * [backup-simplify]: Simplify (+ 0 0) into 0 5.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.748 * [taylor]: Taking taylor expansion of im in im 5.748 * [backup-simplify]: Simplify 0 into 0 5.748 * [backup-simplify]: Simplify 1 into 1 5.748 * [backup-simplify]: Simplify 0 into 0 5.748 * [taylor]: Taking taylor expansion of 0 in im 5.749 * [backup-simplify]: Simplify 0 into 0 5.749 * [backup-simplify]: Simplify 0 into 0 5.749 * [backup-simplify]: Simplify 1 into 1 5.749 * [backup-simplify]: Simplify (* 1 1) into 1 5.749 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.750 * [backup-simplify]: Simplify (+ 1 0) into 1 5.751 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.751 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.751 * [taylor]: Taking taylor expansion of 1/2 in im 5.751 * [backup-simplify]: Simplify 1/2 into 1/2 5.751 * [taylor]: Taking taylor expansion of im in im 5.751 * [backup-simplify]: Simplify 0 into 0 5.751 * [backup-simplify]: Simplify 1 into 1 5.751 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.752 * [backup-simplify]: Simplify 0 into 0 5.752 * [backup-simplify]: Simplify 0 into 0 5.752 * [backup-simplify]: Simplify 0 into 0 5.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.754 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.754 * [backup-simplify]: Simplify (+ 0 0) into 0 5.754 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.754 * [taylor]: Taking taylor expansion of 0 in im 5.754 * [backup-simplify]: Simplify 0 into 0 5.754 * [backup-simplify]: Simplify 0 into 0 5.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.755 * [backup-simplify]: Simplify 0 into 0 5.755 * [backup-simplify]: Simplify 0 into 0 5.755 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.756 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.756 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.756 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.756 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.756 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.756 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.756 * [taylor]: Taking taylor expansion of im in im 5.756 * [backup-simplify]: Simplify 0 into 0 5.756 * [backup-simplify]: Simplify 1 into 1 5.756 * [backup-simplify]: Simplify (* 1 1) into 1 5.757 * [backup-simplify]: Simplify (/ 1 1) into 1 5.757 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.757 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.757 * [taylor]: Taking taylor expansion of re in im 5.757 * [backup-simplify]: Simplify re into re 5.757 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.757 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.758 * [backup-simplify]: Simplify (+ 1 0) into 1 5.758 * [backup-simplify]: Simplify (sqrt 1) into 1 5.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.760 * [backup-simplify]: Simplify (+ 0 0) into 0 5.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.761 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.761 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.761 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.761 * [taylor]: Taking taylor expansion of im in re 5.761 * [backup-simplify]: Simplify im into im 5.761 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.761 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.761 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.761 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.761 * [taylor]: Taking taylor expansion of re in re 5.761 * [backup-simplify]: Simplify 0 into 0 5.761 * [backup-simplify]: Simplify 1 into 1 5.762 * [backup-simplify]: Simplify (* 1 1) into 1 5.762 * [backup-simplify]: Simplify (/ 1 1) into 1 5.763 * [backup-simplify]: Simplify (+ 0 1) into 1 5.763 * [backup-simplify]: Simplify (sqrt 1) into 1 5.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.765 * [backup-simplify]: Simplify (+ 0 0) into 0 5.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.766 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.766 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.766 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.766 * [taylor]: Taking taylor expansion of im in re 5.767 * [backup-simplify]: Simplify im into im 5.767 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.767 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.767 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.767 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.767 * [taylor]: Taking taylor expansion of re in re 5.767 * [backup-simplify]: Simplify 0 into 0 5.767 * [backup-simplify]: Simplify 1 into 1 5.767 * [backup-simplify]: Simplify (* 1 1) into 1 5.768 * [backup-simplify]: Simplify (/ 1 1) into 1 5.768 * [backup-simplify]: Simplify (+ 0 1) into 1 5.769 * [backup-simplify]: Simplify (sqrt 1) into 1 5.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.779 * [backup-simplify]: Simplify (+ 0 0) into 0 5.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.780 * [taylor]: Taking taylor expansion of 1 in im 5.780 * [backup-simplify]: Simplify 1 into 1 5.780 * [taylor]: Taking taylor expansion of 0 in im 5.780 * [backup-simplify]: Simplify 0 into 0 5.780 * [backup-simplify]: Simplify 1 into 1 5.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.782 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.784 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.784 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.784 * [taylor]: Taking taylor expansion of 1/2 in im 5.784 * [backup-simplify]: Simplify 1/2 into 1/2 5.784 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.784 * [taylor]: Taking taylor expansion of im in im 5.784 * [backup-simplify]: Simplify 0 into 0 5.784 * [backup-simplify]: Simplify 1 into 1 5.784 * [backup-simplify]: Simplify (* 1 1) into 1 5.785 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.786 * [backup-simplify]: Simplify 0 into 0 5.786 * [backup-simplify]: Simplify 0 into 0 5.786 * [backup-simplify]: Simplify 0 into 0 5.786 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.789 * [backup-simplify]: Simplify (+ 0 0) into 0 5.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.790 * [taylor]: Taking taylor expansion of 0 in im 5.790 * [backup-simplify]: Simplify 0 into 0 5.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.792 * [backup-simplify]: Simplify 0 into 0 5.792 * [backup-simplify]: Simplify 0 into 0 5.792 * [backup-simplify]: Simplify 0 into 0 5.792 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.792 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.792 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.792 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.792 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.792 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.792 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.792 * [taylor]: Taking taylor expansion of im in im 5.792 * [backup-simplify]: Simplify 0 into 0 5.792 * [backup-simplify]: Simplify 1 into 1 5.793 * [backup-simplify]: Simplify (* 1 1) into 1 5.793 * [backup-simplify]: Simplify (/ 1 1) into 1 5.793 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.793 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.793 * [taylor]: Taking taylor expansion of re in im 5.793 * [backup-simplify]: Simplify re into re 5.793 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.794 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.794 * [backup-simplify]: Simplify (+ 1 0) into 1 5.794 * [backup-simplify]: Simplify (sqrt 1) into 1 5.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.796 * [backup-simplify]: Simplify (+ 0 0) into 0 5.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.797 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.797 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.797 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.797 * [taylor]: Taking taylor expansion of im in re 5.797 * [backup-simplify]: Simplify im into im 5.797 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.798 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.798 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.798 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.798 * [taylor]: Taking taylor expansion of re in re 5.798 * [backup-simplify]: Simplify 0 into 0 5.798 * [backup-simplify]: Simplify 1 into 1 5.798 * [backup-simplify]: Simplify (* 1 1) into 1 5.798 * [backup-simplify]: Simplify (/ 1 1) into 1 5.799 * [backup-simplify]: Simplify (+ 0 1) into 1 5.799 * [backup-simplify]: Simplify (sqrt 1) into 1 5.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.801 * [backup-simplify]: Simplify (+ 0 0) into 0 5.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.802 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.802 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.802 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.802 * [taylor]: Taking taylor expansion of im in re 5.802 * [backup-simplify]: Simplify im into im 5.802 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.802 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.802 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.802 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.802 * [taylor]: Taking taylor expansion of re in re 5.802 * [backup-simplify]: Simplify 0 into 0 5.802 * [backup-simplify]: Simplify 1 into 1 5.803 * [backup-simplify]: Simplify (* 1 1) into 1 5.803 * [backup-simplify]: Simplify (/ 1 1) into 1 5.803 * [backup-simplify]: Simplify (+ 0 1) into 1 5.804 * [backup-simplify]: Simplify (sqrt 1) into 1 5.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.805 * [backup-simplify]: Simplify (+ 0 0) into 0 5.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.806 * [taylor]: Taking taylor expansion of 1 in im 5.806 * [backup-simplify]: Simplify 1 into 1 5.806 * [taylor]: Taking taylor expansion of 0 in im 5.806 * [backup-simplify]: Simplify 0 into 0 5.806 * [backup-simplify]: Simplify 1 into 1 5.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.808 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.810 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.810 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.810 * [taylor]: Taking taylor expansion of 1/2 in im 5.810 * [backup-simplify]: Simplify 1/2 into 1/2 5.810 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.810 * [taylor]: Taking taylor expansion of im in im 5.810 * [backup-simplify]: Simplify 0 into 0 5.810 * [backup-simplify]: Simplify 1 into 1 5.810 * [backup-simplify]: Simplify (* 1 1) into 1 5.811 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.812 * [backup-simplify]: Simplify 0 into 0 5.812 * [backup-simplify]: Simplify 0 into 0 5.812 * [backup-simplify]: Simplify 0 into 0 5.812 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.815 * [backup-simplify]: Simplify (+ 0 0) into 0 5.816 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.816 * [taylor]: Taking taylor expansion of 0 in im 5.816 * [backup-simplify]: Simplify 0 into 0 5.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.818 * [backup-simplify]: Simplify 0 into 0 5.818 * [backup-simplify]: Simplify 0 into 0 5.818 * [backup-simplify]: Simplify 0 into 0 5.818 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.818 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 5.819 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 5.819 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 5.819 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.819 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.819 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.819 * [taylor]: Taking taylor expansion of re in im 5.819 * [backup-simplify]: Simplify re into re 5.819 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.819 * [taylor]: Taking taylor expansion of im in im 5.819 * [backup-simplify]: Simplify 0 into 0 5.819 * [backup-simplify]: Simplify 1 into 1 5.819 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.819 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.819 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.819 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.820 * [backup-simplify]: Simplify (+ 0 0) into 0 5.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.820 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.820 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.820 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.820 * [taylor]: Taking taylor expansion of re in re 5.820 * [backup-simplify]: Simplify 0 into 0 5.820 * [backup-simplify]: Simplify 1 into 1 5.820 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.820 * [taylor]: Taking taylor expansion of im in re 5.820 * [backup-simplify]: Simplify im into im 5.820 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.821 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.821 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.821 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.821 * [backup-simplify]: Simplify (+ 0 0) into 0 5.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.821 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.821 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.821 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.822 * [taylor]: Taking taylor expansion of re in re 5.822 * [backup-simplify]: Simplify 0 into 0 5.822 * [backup-simplify]: Simplify 1 into 1 5.822 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.822 * [taylor]: Taking taylor expansion of im in re 5.822 * [backup-simplify]: Simplify im into im 5.822 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.822 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.822 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.822 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.822 * [backup-simplify]: Simplify (+ 0 0) into 0 5.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.823 * [taylor]: Taking taylor expansion of im in im 5.823 * [backup-simplify]: Simplify 0 into 0 5.823 * [backup-simplify]: Simplify 1 into 1 5.823 * [backup-simplify]: Simplify 0 into 0 5.823 * [taylor]: Taking taylor expansion of 0 in im 5.823 * [backup-simplify]: Simplify 0 into 0 5.823 * [backup-simplify]: Simplify 0 into 0 5.823 * [backup-simplify]: Simplify 1 into 1 5.823 * [backup-simplify]: Simplify (* 1 1) into 1 5.824 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.824 * [backup-simplify]: Simplify (+ 1 0) into 1 5.825 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.825 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.825 * [taylor]: Taking taylor expansion of 1/2 in im 5.825 * [backup-simplify]: Simplify 1/2 into 1/2 5.825 * [taylor]: Taking taylor expansion of im in im 5.825 * [backup-simplify]: Simplify 0 into 0 5.825 * [backup-simplify]: Simplify 1 into 1 5.825 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.826 * [backup-simplify]: Simplify 0 into 0 5.826 * [backup-simplify]: Simplify 0 into 0 5.826 * [backup-simplify]: Simplify 0 into 0 5.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.828 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.828 * [backup-simplify]: Simplify (+ 0 0) into 0 5.828 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.828 * [taylor]: Taking taylor expansion of 0 in im 5.828 * [backup-simplify]: Simplify 0 into 0 5.828 * [backup-simplify]: Simplify 0 into 0 5.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.829 * [backup-simplify]: Simplify 0 into 0 5.829 * [backup-simplify]: Simplify 0 into 0 5.829 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.830 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.830 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.830 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.830 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.830 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.830 * [taylor]: Taking taylor expansion of im in im 5.830 * [backup-simplify]: Simplify 0 into 0 5.830 * [backup-simplify]: Simplify 1 into 1 5.830 * [backup-simplify]: Simplify (* 1 1) into 1 5.831 * [backup-simplify]: Simplify (/ 1 1) into 1 5.831 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.831 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.831 * [taylor]: Taking taylor expansion of re in im 5.831 * [backup-simplify]: Simplify re into re 5.831 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.831 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.832 * [backup-simplify]: Simplify (+ 1 0) into 1 5.832 * [backup-simplify]: Simplify (sqrt 1) into 1 5.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.834 * [backup-simplify]: Simplify (+ 0 0) into 0 5.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.834 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.834 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.834 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.834 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.834 * [taylor]: Taking taylor expansion of im in re 5.834 * [backup-simplify]: Simplify im into im 5.835 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.835 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.835 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.835 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.835 * [taylor]: Taking taylor expansion of re in re 5.835 * [backup-simplify]: Simplify 0 into 0 5.835 * [backup-simplify]: Simplify 1 into 1 5.835 * [backup-simplify]: Simplify (* 1 1) into 1 5.836 * [backup-simplify]: Simplify (/ 1 1) into 1 5.836 * [backup-simplify]: Simplify (+ 0 1) into 1 5.836 * [backup-simplify]: Simplify (sqrt 1) into 1 5.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.838 * [backup-simplify]: Simplify (+ 0 0) into 0 5.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.839 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.839 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.839 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.839 * [taylor]: Taking taylor expansion of im in re 5.839 * [backup-simplify]: Simplify im into im 5.839 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.839 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.839 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.839 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.839 * [taylor]: Taking taylor expansion of re in re 5.839 * [backup-simplify]: Simplify 0 into 0 5.839 * [backup-simplify]: Simplify 1 into 1 5.840 * [backup-simplify]: Simplify (* 1 1) into 1 5.840 * [backup-simplify]: Simplify (/ 1 1) into 1 5.840 * [backup-simplify]: Simplify (+ 0 1) into 1 5.841 * [backup-simplify]: Simplify (sqrt 1) into 1 5.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.842 * [backup-simplify]: Simplify (+ 0 0) into 0 5.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.843 * [taylor]: Taking taylor expansion of 1 in im 5.843 * [backup-simplify]: Simplify 1 into 1 5.843 * [taylor]: Taking taylor expansion of 0 in im 5.843 * [backup-simplify]: Simplify 0 into 0 5.843 * [backup-simplify]: Simplify 1 into 1 5.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.845 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.847 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.847 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.847 * [taylor]: Taking taylor expansion of 1/2 in im 5.847 * [backup-simplify]: Simplify 1/2 into 1/2 5.847 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.847 * [taylor]: Taking taylor expansion of im in im 5.847 * [backup-simplify]: Simplify 0 into 0 5.847 * [backup-simplify]: Simplify 1 into 1 5.847 * [backup-simplify]: Simplify (* 1 1) into 1 5.848 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.849 * [backup-simplify]: Simplify 0 into 0 5.849 * [backup-simplify]: Simplify 0 into 0 5.849 * [backup-simplify]: Simplify 0 into 0 5.849 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.852 * [backup-simplify]: Simplify (+ 0 0) into 0 5.853 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.853 * [taylor]: Taking taylor expansion of 0 in im 5.853 * [backup-simplify]: Simplify 0 into 0 5.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.854 * [backup-simplify]: Simplify 0 into 0 5.854 * [backup-simplify]: Simplify 0 into 0 5.854 * [backup-simplify]: Simplify 0 into 0 5.855 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.855 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.855 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.855 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.855 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.855 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.855 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.855 * [taylor]: Taking taylor expansion of im in im 5.855 * [backup-simplify]: Simplify 0 into 0 5.855 * [backup-simplify]: Simplify 1 into 1 5.856 * [backup-simplify]: Simplify (* 1 1) into 1 5.856 * [backup-simplify]: Simplify (/ 1 1) into 1 5.856 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.856 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.856 * [taylor]: Taking taylor expansion of re in im 5.856 * [backup-simplify]: Simplify re into re 5.856 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.857 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.857 * [backup-simplify]: Simplify (+ 1 0) into 1 5.857 * [backup-simplify]: Simplify (sqrt 1) into 1 5.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.859 * [backup-simplify]: Simplify (+ 0 0) into 0 5.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.860 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.860 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.860 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.860 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.860 * [taylor]: Taking taylor expansion of im in re 5.860 * [backup-simplify]: Simplify im into im 5.860 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.860 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.860 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.860 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.860 * [taylor]: Taking taylor expansion of re in re 5.860 * [backup-simplify]: Simplify 0 into 0 5.860 * [backup-simplify]: Simplify 1 into 1 5.861 * [backup-simplify]: Simplify (* 1 1) into 1 5.861 * [backup-simplify]: Simplify (/ 1 1) into 1 5.862 * [backup-simplify]: Simplify (+ 0 1) into 1 5.862 * [backup-simplify]: Simplify (sqrt 1) into 1 5.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.864 * [backup-simplify]: Simplify (+ 0 0) into 0 5.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.864 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.864 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.864 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.864 * [taylor]: Taking taylor expansion of im in re 5.864 * [backup-simplify]: Simplify im into im 5.865 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.865 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.865 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.865 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.865 * [taylor]: Taking taylor expansion of re in re 5.865 * [backup-simplify]: Simplify 0 into 0 5.865 * [backup-simplify]: Simplify 1 into 1 5.865 * [backup-simplify]: Simplify (* 1 1) into 1 5.866 * [backup-simplify]: Simplify (/ 1 1) into 1 5.866 * [backup-simplify]: Simplify (+ 0 1) into 1 5.866 * [backup-simplify]: Simplify (sqrt 1) into 1 5.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.868 * [backup-simplify]: Simplify (+ 0 0) into 0 5.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.869 * [taylor]: Taking taylor expansion of 1 in im 5.869 * [backup-simplify]: Simplify 1 into 1 5.869 * [taylor]: Taking taylor expansion of 0 in im 5.869 * [backup-simplify]: Simplify 0 into 0 5.869 * [backup-simplify]: Simplify 1 into 1 5.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.871 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.872 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.872 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.872 * [taylor]: Taking taylor expansion of 1/2 in im 5.872 * [backup-simplify]: Simplify 1/2 into 1/2 5.872 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.872 * [taylor]: Taking taylor expansion of im in im 5.872 * [backup-simplify]: Simplify 0 into 0 5.872 * [backup-simplify]: Simplify 1 into 1 5.873 * [backup-simplify]: Simplify (* 1 1) into 1 5.873 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.874 * [backup-simplify]: Simplify 0 into 0 5.874 * [backup-simplify]: Simplify 0 into 0 5.874 * [backup-simplify]: Simplify 0 into 0 5.875 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.877 * [backup-simplify]: Simplify (+ 0 0) into 0 5.878 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.878 * [taylor]: Taking taylor expansion of 0 in im 5.878 * [backup-simplify]: Simplify 0 into 0 5.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.879 * [backup-simplify]: Simplify 0 into 0 5.879 * [backup-simplify]: Simplify 0 into 0 5.879 * [backup-simplify]: Simplify 0 into 0 5.879 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.879 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 5.879 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 5.879 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 5.879 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.879 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.879 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.879 * [taylor]: Taking taylor expansion of re in im 5.879 * [backup-simplify]: Simplify re into re 5.879 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.879 * [taylor]: Taking taylor expansion of im in im 5.879 * [backup-simplify]: Simplify 0 into 0 5.879 * [backup-simplify]: Simplify 1 into 1 5.880 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.880 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.880 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.880 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.880 * [backup-simplify]: Simplify (+ 0 0) into 0 5.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.880 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.880 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.880 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.880 * [taylor]: Taking taylor expansion of re in re 5.880 * [backup-simplify]: Simplify 0 into 0 5.880 * [backup-simplify]: Simplify 1 into 1 5.880 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.880 * [taylor]: Taking taylor expansion of im in re 5.880 * [backup-simplify]: Simplify im into im 5.880 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.880 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.880 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.881 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.881 * [backup-simplify]: Simplify (+ 0 0) into 0 5.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.881 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.881 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.881 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.881 * [taylor]: Taking taylor expansion of re in re 5.881 * [backup-simplify]: Simplify 0 into 0 5.881 * [backup-simplify]: Simplify 1 into 1 5.881 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.881 * [taylor]: Taking taylor expansion of im in re 5.881 * [backup-simplify]: Simplify im into im 5.881 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.881 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.881 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.881 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.882 * [backup-simplify]: Simplify (+ 0 0) into 0 5.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.882 * [taylor]: Taking taylor expansion of im in im 5.882 * [backup-simplify]: Simplify 0 into 0 5.882 * [backup-simplify]: Simplify 1 into 1 5.882 * [backup-simplify]: Simplify 0 into 0 5.882 * [taylor]: Taking taylor expansion of 0 in im 5.882 * [backup-simplify]: Simplify 0 into 0 5.882 * [backup-simplify]: Simplify 0 into 0 5.882 * [backup-simplify]: Simplify 1 into 1 5.882 * [backup-simplify]: Simplify (* 1 1) into 1 5.882 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.883 * [backup-simplify]: Simplify (+ 1 0) into 1 5.883 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.883 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.883 * [taylor]: Taking taylor expansion of 1/2 in im 5.883 * [backup-simplify]: Simplify 1/2 into 1/2 5.883 * [taylor]: Taking taylor expansion of im in im 5.883 * [backup-simplify]: Simplify 0 into 0 5.883 * [backup-simplify]: Simplify 1 into 1 5.884 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.885 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.885 * [backup-simplify]: Simplify (+ 0 0) into 0 5.885 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.885 * [taylor]: Taking taylor expansion of 0 in im 5.885 * [backup-simplify]: Simplify 0 into 0 5.885 * [backup-simplify]: Simplify 0 into 0 5.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.886 * [backup-simplify]: Simplify 0 into 0 5.886 * [backup-simplify]: Simplify 0 into 0 5.886 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.886 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.886 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.886 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.886 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.886 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.886 * [taylor]: Taking taylor expansion of im in im 5.886 * [backup-simplify]: Simplify 0 into 0 5.886 * [backup-simplify]: Simplify 1 into 1 5.887 * [backup-simplify]: Simplify (* 1 1) into 1 5.887 * [backup-simplify]: Simplify (/ 1 1) into 1 5.887 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.887 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.887 * [taylor]: Taking taylor expansion of re in im 5.887 * [backup-simplify]: Simplify re into re 5.887 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.887 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.887 * [backup-simplify]: Simplify (+ 1 0) into 1 5.888 * [backup-simplify]: Simplify (sqrt 1) into 1 5.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.889 * [backup-simplify]: Simplify (+ 0 0) into 0 5.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.889 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.889 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.889 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.889 * [taylor]: Taking taylor expansion of im in re 5.889 * [backup-simplify]: Simplify im into im 5.889 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.889 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.889 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.889 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.889 * [taylor]: Taking taylor expansion of re in re 5.889 * [backup-simplify]: Simplify 0 into 0 5.889 * [backup-simplify]: Simplify 1 into 1 5.890 * [backup-simplify]: Simplify (* 1 1) into 1 5.890 * [backup-simplify]: Simplify (/ 1 1) into 1 5.890 * [backup-simplify]: Simplify (+ 0 1) into 1 5.890 * [backup-simplify]: Simplify (sqrt 1) into 1 5.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.891 * [backup-simplify]: Simplify (+ 0 0) into 0 5.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.892 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.892 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.892 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.892 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.892 * [taylor]: Taking taylor expansion of im in re 5.892 * [backup-simplify]: Simplify im into im 5.892 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.892 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.892 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.892 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.892 * [taylor]: Taking taylor expansion of re in re 5.892 * [backup-simplify]: Simplify 0 into 0 5.892 * [backup-simplify]: Simplify 1 into 1 5.893 * [backup-simplify]: Simplify (* 1 1) into 1 5.893 * [backup-simplify]: Simplify (/ 1 1) into 1 5.893 * [backup-simplify]: Simplify (+ 0 1) into 1 5.893 * [backup-simplify]: Simplify (sqrt 1) into 1 5.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.894 * [backup-simplify]: Simplify (+ 0 0) into 0 5.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.895 * [taylor]: Taking taylor expansion of 1 in im 5.895 * [backup-simplify]: Simplify 1 into 1 5.895 * [taylor]: Taking taylor expansion of 0 in im 5.895 * [backup-simplify]: Simplify 0 into 0 5.895 * [backup-simplify]: Simplify 1 into 1 5.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.896 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.897 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.897 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.897 * [taylor]: Taking taylor expansion of 1/2 in im 5.897 * [backup-simplify]: Simplify 1/2 into 1/2 5.897 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.897 * [taylor]: Taking taylor expansion of im in im 5.897 * [backup-simplify]: Simplify 0 into 0 5.897 * [backup-simplify]: Simplify 1 into 1 5.897 * [backup-simplify]: Simplify (* 1 1) into 1 5.898 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.898 * [backup-simplify]: Simplify 0 into 0 5.899 * [backup-simplify]: Simplify 0 into 0 5.899 * [backup-simplify]: Simplify 0 into 0 5.899 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.900 * [backup-simplify]: Simplify (+ 0 0) into 0 5.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.901 * [taylor]: Taking taylor expansion of 0 in im 5.901 * [backup-simplify]: Simplify 0 into 0 5.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.902 * [backup-simplify]: Simplify 0 into 0 5.902 * [backup-simplify]: Simplify 0 into 0 5.902 * [backup-simplify]: Simplify 0 into 0 5.902 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.902 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.902 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.902 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.902 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.902 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.902 * [taylor]: Taking taylor expansion of im in im 5.902 * [backup-simplify]: Simplify 0 into 0 5.902 * [backup-simplify]: Simplify 1 into 1 5.902 * [backup-simplify]: Simplify (* 1 1) into 1 5.903 * [backup-simplify]: Simplify (/ 1 1) into 1 5.903 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.903 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.903 * [taylor]: Taking taylor expansion of re in im 5.903 * [backup-simplify]: Simplify re into re 5.903 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.903 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.903 * [backup-simplify]: Simplify (+ 1 0) into 1 5.903 * [backup-simplify]: Simplify (sqrt 1) into 1 5.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.904 * [backup-simplify]: Simplify (+ 0 0) into 0 5.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.905 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.905 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.905 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.905 * [taylor]: Taking taylor expansion of im in re 5.905 * [backup-simplify]: Simplify im into im 5.905 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.905 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.905 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.905 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.905 * [taylor]: Taking taylor expansion of re in re 5.905 * [backup-simplify]: Simplify 0 into 0 5.905 * [backup-simplify]: Simplify 1 into 1 5.906 * [backup-simplify]: Simplify (* 1 1) into 1 5.906 * [backup-simplify]: Simplify (/ 1 1) into 1 5.906 * [backup-simplify]: Simplify (+ 0 1) into 1 5.906 * [backup-simplify]: Simplify (sqrt 1) into 1 5.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.908 * [backup-simplify]: Simplify (+ 0 0) into 0 5.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.913 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.913 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.913 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.913 * [taylor]: Taking taylor expansion of im in re 5.913 * [backup-simplify]: Simplify im into im 5.913 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.913 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.913 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.913 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.913 * [taylor]: Taking taylor expansion of re in re 5.913 * [backup-simplify]: Simplify 0 into 0 5.913 * [backup-simplify]: Simplify 1 into 1 5.914 * [backup-simplify]: Simplify (* 1 1) into 1 5.914 * [backup-simplify]: Simplify (/ 1 1) into 1 5.915 * [backup-simplify]: Simplify (+ 0 1) into 1 5.915 * [backup-simplify]: Simplify (sqrt 1) into 1 5.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.917 * [backup-simplify]: Simplify (+ 0 0) into 0 5.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.918 * [taylor]: Taking taylor expansion of 1 in im 5.918 * [backup-simplify]: Simplify 1 into 1 5.918 * [taylor]: Taking taylor expansion of 0 in im 5.918 * [backup-simplify]: Simplify 0 into 0 5.918 * [backup-simplify]: Simplify 1 into 1 5.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.921 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.922 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.922 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.922 * [taylor]: Taking taylor expansion of 1/2 in im 5.922 * [backup-simplify]: Simplify 1/2 into 1/2 5.922 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.922 * [taylor]: Taking taylor expansion of im in im 5.922 * [backup-simplify]: Simplify 0 into 0 5.922 * [backup-simplify]: Simplify 1 into 1 5.923 * [backup-simplify]: Simplify (* 1 1) into 1 5.923 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.925 * [backup-simplify]: Simplify 0 into 0 5.925 * [backup-simplify]: Simplify 0 into 0 5.925 * [backup-simplify]: Simplify 0 into 0 5.925 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.928 * [backup-simplify]: Simplify (+ 0 0) into 0 5.929 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.929 * [taylor]: Taking taylor expansion of 0 in im 5.929 * [backup-simplify]: Simplify 0 into 0 5.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.931 * [backup-simplify]: Simplify 0 into 0 5.931 * [backup-simplify]: Simplify 0 into 0 5.931 * [backup-simplify]: Simplify 0 into 0 5.931 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.931 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 5.931 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 5.931 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 5.931 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.931 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.931 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.931 * [taylor]: Taking taylor expansion of re in im 5.932 * [backup-simplify]: Simplify re into re 5.932 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.932 * [taylor]: Taking taylor expansion of im in im 5.932 * [backup-simplify]: Simplify 0 into 0 5.932 * [backup-simplify]: Simplify 1 into 1 5.932 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.932 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.932 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.932 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.933 * [backup-simplify]: Simplify (+ 0 0) into 0 5.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.933 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.933 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.933 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.933 * [taylor]: Taking taylor expansion of re in re 5.933 * [backup-simplify]: Simplify 0 into 0 5.933 * [backup-simplify]: Simplify 1 into 1 5.933 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.933 * [taylor]: Taking taylor expansion of im in re 5.933 * [backup-simplify]: Simplify im into im 5.933 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.933 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.933 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.934 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.934 * [backup-simplify]: Simplify (+ 0 0) into 0 5.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.934 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.934 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.934 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.934 * [taylor]: Taking taylor expansion of re in re 5.934 * [backup-simplify]: Simplify 0 into 0 5.934 * [backup-simplify]: Simplify 1 into 1 5.934 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.935 * [taylor]: Taking taylor expansion of im in re 5.935 * [backup-simplify]: Simplify im into im 5.935 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.935 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.935 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.935 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.935 * [backup-simplify]: Simplify (+ 0 0) into 0 5.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.936 * [taylor]: Taking taylor expansion of im in im 5.936 * [backup-simplify]: Simplify 0 into 0 5.936 * [backup-simplify]: Simplify 1 into 1 5.936 * [backup-simplify]: Simplify 0 into 0 5.936 * [taylor]: Taking taylor expansion of 0 in im 5.936 * [backup-simplify]: Simplify 0 into 0 5.936 * [backup-simplify]: Simplify 0 into 0 5.936 * [backup-simplify]: Simplify 1 into 1 5.936 * [backup-simplify]: Simplify (* 1 1) into 1 5.936 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.937 * [backup-simplify]: Simplify (+ 1 0) into 1 5.937 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.937 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.937 * [taylor]: Taking taylor expansion of 1/2 in im 5.937 * [backup-simplify]: Simplify 1/2 into 1/2 5.937 * [taylor]: Taking taylor expansion of im in im 5.938 * [backup-simplify]: Simplify 0 into 0 5.938 * [backup-simplify]: Simplify 1 into 1 5.938 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.939 * [backup-simplify]: Simplify 0 into 0 5.939 * [backup-simplify]: Simplify 0 into 0 5.939 * [backup-simplify]: Simplify 0 into 0 5.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.940 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.940 * [backup-simplify]: Simplify (+ 0 0) into 0 5.940 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.940 * [taylor]: Taking taylor expansion of 0 in im 5.940 * [backup-simplify]: Simplify 0 into 0 5.940 * [backup-simplify]: Simplify 0 into 0 5.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.941 * [backup-simplify]: Simplify 0 into 0 5.941 * [backup-simplify]: Simplify 0 into 0 5.941 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.941 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.941 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.941 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.941 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.941 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.941 * [taylor]: Taking taylor expansion of im in im 5.941 * [backup-simplify]: Simplify 0 into 0 5.941 * [backup-simplify]: Simplify 1 into 1 5.941 * [backup-simplify]: Simplify (* 1 1) into 1 5.942 * [backup-simplify]: Simplify (/ 1 1) into 1 5.942 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.942 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.942 * [taylor]: Taking taylor expansion of re in im 5.942 * [backup-simplify]: Simplify re into re 5.942 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.942 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.942 * [backup-simplify]: Simplify (+ 1 0) into 1 5.942 * [backup-simplify]: Simplify (sqrt 1) into 1 5.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.943 * [backup-simplify]: Simplify (+ 0 0) into 0 5.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.944 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.944 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.944 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.944 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.944 * [taylor]: Taking taylor expansion of im in re 5.944 * [backup-simplify]: Simplify im into im 5.944 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.944 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.944 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.944 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.944 * [taylor]: Taking taylor expansion of re in re 5.944 * [backup-simplify]: Simplify 0 into 0 5.944 * [backup-simplify]: Simplify 1 into 1 5.944 * [backup-simplify]: Simplify (* 1 1) into 1 5.945 * [backup-simplify]: Simplify (/ 1 1) into 1 5.945 * [backup-simplify]: Simplify (+ 0 1) into 1 5.945 * [backup-simplify]: Simplify (sqrt 1) into 1 5.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.946 * [backup-simplify]: Simplify (+ 0 0) into 0 5.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.947 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.947 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.947 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.947 * [taylor]: Taking taylor expansion of im in re 5.947 * [backup-simplify]: Simplify im into im 5.947 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.947 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.947 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.947 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.947 * [taylor]: Taking taylor expansion of re in re 5.947 * [backup-simplify]: Simplify 0 into 0 5.947 * [backup-simplify]: Simplify 1 into 1 5.947 * [backup-simplify]: Simplify (* 1 1) into 1 5.948 * [backup-simplify]: Simplify (/ 1 1) into 1 5.948 * [backup-simplify]: Simplify (+ 0 1) into 1 5.948 * [backup-simplify]: Simplify (sqrt 1) into 1 5.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.949 * [backup-simplify]: Simplify (+ 0 0) into 0 5.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.950 * [taylor]: Taking taylor expansion of 1 in im 5.950 * [backup-simplify]: Simplify 1 into 1 5.950 * [taylor]: Taking taylor expansion of 0 in im 5.950 * [backup-simplify]: Simplify 0 into 0 5.950 * [backup-simplify]: Simplify 1 into 1 5.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.951 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.952 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.952 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.952 * [taylor]: Taking taylor expansion of 1/2 in im 5.952 * [backup-simplify]: Simplify 1/2 into 1/2 5.952 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.952 * [taylor]: Taking taylor expansion of im in im 5.952 * [backup-simplify]: Simplify 0 into 0 5.952 * [backup-simplify]: Simplify 1 into 1 5.952 * [backup-simplify]: Simplify (* 1 1) into 1 5.952 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.953 * [backup-simplify]: Simplify 0 into 0 5.953 * [backup-simplify]: Simplify 0 into 0 5.953 * [backup-simplify]: Simplify 0 into 0 5.953 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.955 * [backup-simplify]: Simplify (+ 0 0) into 0 5.955 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.955 * [taylor]: Taking taylor expansion of 0 in im 5.955 * [backup-simplify]: Simplify 0 into 0 5.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.956 * [backup-simplify]: Simplify 0 into 0 5.956 * [backup-simplify]: Simplify 0 into 0 5.956 * [backup-simplify]: Simplify 0 into 0 5.956 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.957 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.957 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.957 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.957 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.957 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.957 * [taylor]: Taking taylor expansion of im in im 5.957 * [backup-simplify]: Simplify 0 into 0 5.957 * [backup-simplify]: Simplify 1 into 1 5.957 * [backup-simplify]: Simplify (* 1 1) into 1 5.957 * [backup-simplify]: Simplify (/ 1 1) into 1 5.957 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.957 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.957 * [taylor]: Taking taylor expansion of re in im 5.957 * [backup-simplify]: Simplify re into re 5.958 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.958 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.958 * [backup-simplify]: Simplify (+ 1 0) into 1 5.958 * [backup-simplify]: Simplify (sqrt 1) into 1 5.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.959 * [backup-simplify]: Simplify (+ 0 0) into 0 5.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.960 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.960 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.960 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.960 * [taylor]: Taking taylor expansion of im in re 5.960 * [backup-simplify]: Simplify im into im 5.960 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.960 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.960 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.960 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.960 * [taylor]: Taking taylor expansion of re in re 5.960 * [backup-simplify]: Simplify 0 into 0 5.960 * [backup-simplify]: Simplify 1 into 1 5.960 * [backup-simplify]: Simplify (* 1 1) into 1 5.960 * [backup-simplify]: Simplify (/ 1 1) into 1 5.961 * [backup-simplify]: Simplify (+ 0 1) into 1 5.961 * [backup-simplify]: Simplify (sqrt 1) into 1 5.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.962 * [backup-simplify]: Simplify (+ 0 0) into 0 5.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.963 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.963 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.963 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.963 * [taylor]: Taking taylor expansion of im in re 5.963 * [backup-simplify]: Simplify im into im 5.963 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.963 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.963 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.963 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.963 * [taylor]: Taking taylor expansion of re in re 5.963 * [backup-simplify]: Simplify 0 into 0 5.963 * [backup-simplify]: Simplify 1 into 1 5.963 * [backup-simplify]: Simplify (* 1 1) into 1 5.964 * [backup-simplify]: Simplify (/ 1 1) into 1 5.964 * [backup-simplify]: Simplify (+ 0 1) into 1 5.964 * [backup-simplify]: Simplify (sqrt 1) into 1 5.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.965 * [backup-simplify]: Simplify (+ 0 0) into 0 5.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.966 * [taylor]: Taking taylor expansion of 1 in im 5.966 * [backup-simplify]: Simplify 1 into 1 5.966 * [taylor]: Taking taylor expansion of 0 in im 5.966 * [backup-simplify]: Simplify 0 into 0 5.966 * [backup-simplify]: Simplify 1 into 1 5.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.967 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.968 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.968 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.968 * [taylor]: Taking taylor expansion of 1/2 in im 5.968 * [backup-simplify]: Simplify 1/2 into 1/2 5.968 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.968 * [taylor]: Taking taylor expansion of im in im 5.968 * [backup-simplify]: Simplify 0 into 0 5.968 * [backup-simplify]: Simplify 1 into 1 5.968 * [backup-simplify]: Simplify (* 1 1) into 1 5.968 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.969 * [backup-simplify]: Simplify 0 into 0 5.969 * [backup-simplify]: Simplify 0 into 0 5.969 * [backup-simplify]: Simplify 0 into 0 5.969 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.971 * [backup-simplify]: Simplify (+ 0 0) into 0 5.971 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.971 * [taylor]: Taking taylor expansion of 0 in im 5.971 * [backup-simplify]: Simplify 0 into 0 5.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.973 * [backup-simplify]: Simplify 0 into 0 5.973 * [backup-simplify]: Simplify 0 into 0 5.973 * [backup-simplify]: Simplify 0 into 0 5.973 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.973 * * * [progress]: simplifying candidates 5.974 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 5.975 * * [simplify]: Extracting # 0 : cost 0 5.975 * * [simplify]: Extracting # 1 : cost 0 5.975 * * [simplify]: Extracting # 2 : cost 0 5.975 * * [simplify]: Extracting # 3 : cost 0 5.975 * * [simplify]: Extracting # 4 : cost 0 5.975 * * [simplify]: Extracting # 5 : cost 0 5.975 * * [simplify]: Extracting # 6 : cost 0 5.975 * * [simplify]: iteration 0 : 38 enodes (cost 852 ) 5.987 * * [simplify]: Extracting # 0 : cost 0 5.987 * * [simplify]: Extracting # 1 : cost 0 5.987 * * [simplify]: Extracting # 2 : cost 0 5.987 * * [simplify]: Extracting # 3 : cost 0 5.988 * * [simplify]: Extracting # 4 : cost 0 5.988 * * [simplify]: iteration 1 : 91 enodes (cost 744 ) 6.011 * * [simplify]: Extracting # 0 : cost 0 6.011 * * [simplify]: Extracting # 1 : cost 0 6.011 * * [simplify]: Extracting # 2 : cost 0 6.011 * * [simplify]: Extracting # 3 : cost 0 6.012 * * [simplify]: Extracting # 4 : cost 0 6.012 * * [simplify]: iteration 2 : 205 enodes (cost 680 ) 6.074 * * [simplify]: Extracting # 0 : cost 0 6.075 * * [simplify]: Extracting # 1 : cost 0 6.075 * * [simplify]: Extracting # 2 : cost 0 6.076 * * [simplify]: Extracting # 3 : cost 0 6.077 * * [simplify]: Extracting # 4 : cost 0 6.078 * * [simplify]: iteration 3 : 444 enodes (cost 656 ) 6.285 * * [simplify]: Extracting # 0 : cost 0 6.286 * * [simplify]: Extracting # 1 : cost 0 6.287 * * [simplify]: Extracting # 2 : cost 0 6.288 * * [simplify]: Extracting # 3 : cost 0 6.289 * * [simplify]: iteration 4 : 1114 enodes (cost 656 ) 7.176 * * [simplify]: Extracting # 0 : cost 0 7.181 * * [simplify]: Extracting # 1 : cost 0 7.186 * * [simplify]: Extracting # 2 : cost 0 7.198 * * [simplify]: Extracting # 3 : cost 0 7.203 * * [simplify]: Extracting # 4 : cost 0 7.207 * * [simplify]: iteration 5 : 3182 enodes (cost 656 ) 8.606 * * [simplify]: Extracting # 0 : cost 0 8.615 * * [simplify]: Extracting # 1 : cost 0 8.625 * * [simplify]: Extracting # 2 : cost 0 8.634 * * [simplify]: Extracting # 3 : cost 0 8.639 * * [simplify]: Extracting # 4 : cost 0 8.644 * * [simplify]: iteration done: 5001 enodes (cost 656 ) 8.644 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) im re (- re) im re (- re) im re (- re) im re (- re) 8.645 * * * [progress]: adding candidates to table 8.993 * * [progress]: iteration 4 / 4 8.993 * * * [progress]: picking best candidate 9.001 * * * * [pick]: Picked # 9.001 * * * [progress]: localizing error 9.024 * * * [progress]: generating rewritten candidates 9.024 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 9.033 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 9.048 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 9.062 * * * [progress]: generating series expansions 9.062 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 9.062 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 9.062 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 9.062 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 9.062 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 9.062 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.062 * [taylor]: Taking taylor expansion of re in im 9.063 * [backup-simplify]: Simplify re into re 9.063 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.063 * [taylor]: Taking taylor expansion of im in im 9.063 * [backup-simplify]: Simplify 0 into 0 9.063 * [backup-simplify]: Simplify 1 into 1 9.063 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.063 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 9.063 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.063 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.064 * [backup-simplify]: Simplify (+ 0 0) into 0 9.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.064 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 9.064 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 9.064 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.064 * [taylor]: Taking taylor expansion of re in re 9.064 * [backup-simplify]: Simplify 0 into 0 9.064 * [backup-simplify]: Simplify 1 into 1 9.064 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.064 * [taylor]: Taking taylor expansion of im in re 9.064 * [backup-simplify]: Simplify im into im 9.064 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.064 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.064 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.065 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.065 * [backup-simplify]: Simplify (+ 0 0) into 0 9.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.065 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 9.065 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 9.065 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.065 * [taylor]: Taking taylor expansion of re in re 9.065 * [backup-simplify]: Simplify 0 into 0 9.065 * [backup-simplify]: Simplify 1 into 1 9.065 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.065 * [taylor]: Taking taylor expansion of im in re 9.065 * [backup-simplify]: Simplify im into im 9.065 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.066 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.066 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.066 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.066 * [backup-simplify]: Simplify (+ 0 0) into 0 9.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.067 * [taylor]: Taking taylor expansion of im in im 9.067 * [backup-simplify]: Simplify 0 into 0 9.067 * [backup-simplify]: Simplify 1 into 1 9.067 * [backup-simplify]: Simplify 0 into 0 9.067 * [taylor]: Taking taylor expansion of 0 in im 9.067 * [backup-simplify]: Simplify 0 into 0 9.067 * [backup-simplify]: Simplify 0 into 0 9.067 * [backup-simplify]: Simplify 1 into 1 9.067 * [backup-simplify]: Simplify (* 1 1) into 1 9.068 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.068 * [backup-simplify]: Simplify (+ 1 0) into 1 9.069 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 9.069 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 9.069 * [taylor]: Taking taylor expansion of 1/2 in im 9.069 * [backup-simplify]: Simplify 1/2 into 1/2 9.069 * [taylor]: Taking taylor expansion of im in im 9.069 * [backup-simplify]: Simplify 0 into 0 9.069 * [backup-simplify]: Simplify 1 into 1 9.070 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.071 * [backup-simplify]: Simplify 0 into 0 9.071 * [backup-simplify]: Simplify 0 into 0 9.071 * [backup-simplify]: Simplify 0 into 0 9.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.072 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 9.072 * [backup-simplify]: Simplify (+ 0 0) into 0 9.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 9.073 * [taylor]: Taking taylor expansion of 0 in im 9.073 * [backup-simplify]: Simplify 0 into 0 9.073 * [backup-simplify]: Simplify 0 into 0 9.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.074 * [backup-simplify]: Simplify 0 into 0 9.074 * [backup-simplify]: Simplify 0 into 0 9.074 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 9.074 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 9.074 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 9.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 9.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 9.075 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.075 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.075 * [taylor]: Taking taylor expansion of im in im 9.075 * [backup-simplify]: Simplify 0 into 0 9.075 * [backup-simplify]: Simplify 1 into 1 9.075 * [backup-simplify]: Simplify (* 1 1) into 1 9.075 * [backup-simplify]: Simplify (/ 1 1) into 1 9.075 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.075 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.076 * [taylor]: Taking taylor expansion of re in im 9.076 * [backup-simplify]: Simplify re into re 9.076 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.076 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.076 * [backup-simplify]: Simplify (+ 1 0) into 1 9.077 * [backup-simplify]: Simplify (sqrt 1) into 1 9.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.078 * [backup-simplify]: Simplify (+ 0 0) into 0 9.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.079 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.079 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.079 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.079 * [taylor]: Taking taylor expansion of im in re 9.079 * [backup-simplify]: Simplify im into im 9.079 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.079 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.079 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.079 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.079 * [taylor]: Taking taylor expansion of re in re 9.080 * [backup-simplify]: Simplify 0 into 0 9.080 * [backup-simplify]: Simplify 1 into 1 9.080 * [backup-simplify]: Simplify (* 1 1) into 1 9.080 * [backup-simplify]: Simplify (/ 1 1) into 1 9.081 * [backup-simplify]: Simplify (+ 0 1) into 1 9.081 * [backup-simplify]: Simplify (sqrt 1) into 1 9.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.083 * [backup-simplify]: Simplify (+ 0 0) into 0 9.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.083 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.083 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.084 * [taylor]: Taking taylor expansion of im in re 9.084 * [backup-simplify]: Simplify im into im 9.084 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.084 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.084 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.084 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.084 * [taylor]: Taking taylor expansion of re in re 9.084 * [backup-simplify]: Simplify 0 into 0 9.084 * [backup-simplify]: Simplify 1 into 1 9.084 * [backup-simplify]: Simplify (* 1 1) into 1 9.084 * [backup-simplify]: Simplify (/ 1 1) into 1 9.085 * [backup-simplify]: Simplify (+ 0 1) into 1 9.085 * [backup-simplify]: Simplify (sqrt 1) into 1 9.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.086 * [backup-simplify]: Simplify (+ 0 0) into 0 9.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.086 * [taylor]: Taking taylor expansion of 1 in im 9.086 * [backup-simplify]: Simplify 1 into 1 9.086 * [taylor]: Taking taylor expansion of 0 in im 9.086 * [backup-simplify]: Simplify 0 into 0 9.086 * [backup-simplify]: Simplify 1 into 1 9.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.088 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 9.089 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.089 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.089 * [taylor]: Taking taylor expansion of 1/2 in im 9.089 * [backup-simplify]: Simplify 1/2 into 1/2 9.089 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.089 * [taylor]: Taking taylor expansion of im in im 9.089 * [backup-simplify]: Simplify 0 into 0 9.089 * [backup-simplify]: Simplify 1 into 1 9.089 * [backup-simplify]: Simplify (* 1 1) into 1 9.089 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.090 * [backup-simplify]: Simplify 0 into 0 9.090 * [backup-simplify]: Simplify 0 into 0 9.090 * [backup-simplify]: Simplify 0 into 0 9.090 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.092 * [backup-simplify]: Simplify (+ 0 0) into 0 9.092 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.092 * [taylor]: Taking taylor expansion of 0 in im 9.092 * [backup-simplify]: Simplify 0 into 0 9.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.094 * [backup-simplify]: Simplify 0 into 0 9.094 * [backup-simplify]: Simplify 0 into 0 9.094 * [backup-simplify]: Simplify 0 into 0 9.094 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 9.094 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 9.094 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 9.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 9.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 9.094 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.094 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.094 * [taylor]: Taking taylor expansion of im in im 9.094 * [backup-simplify]: Simplify 0 into 0 9.094 * [backup-simplify]: Simplify 1 into 1 9.094 * [backup-simplify]: Simplify (* 1 1) into 1 9.095 * [backup-simplify]: Simplify (/ 1 1) into 1 9.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.095 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.095 * [taylor]: Taking taylor expansion of re in im 9.095 * [backup-simplify]: Simplify re into re 9.095 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.095 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.095 * [backup-simplify]: Simplify (+ 1 0) into 1 9.095 * [backup-simplify]: Simplify (sqrt 1) into 1 9.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.097 * [backup-simplify]: Simplify (+ 0 0) into 0 9.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.097 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.097 * [taylor]: Taking taylor expansion of im in re 9.097 * [backup-simplify]: Simplify im into im 9.097 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.097 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.097 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.097 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.097 * [taylor]: Taking taylor expansion of re in re 9.097 * [backup-simplify]: Simplify 0 into 0 9.097 * [backup-simplify]: Simplify 1 into 1 9.098 * [backup-simplify]: Simplify (* 1 1) into 1 9.098 * [backup-simplify]: Simplify (/ 1 1) into 1 9.098 * [backup-simplify]: Simplify (+ 0 1) into 1 9.099 * [backup-simplify]: Simplify (sqrt 1) into 1 9.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.100 * [backup-simplify]: Simplify (+ 0 0) into 0 9.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.100 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.100 * [taylor]: Taking taylor expansion of im in re 9.100 * [backup-simplify]: Simplify im into im 9.100 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.101 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.101 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.101 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.101 * [taylor]: Taking taylor expansion of re in re 9.101 * [backup-simplify]: Simplify 0 into 0 9.101 * [backup-simplify]: Simplify 1 into 1 9.101 * [backup-simplify]: Simplify (* 1 1) into 1 9.101 * [backup-simplify]: Simplify (/ 1 1) into 1 9.101 * [backup-simplify]: Simplify (+ 0 1) into 1 9.102 * [backup-simplify]: Simplify (sqrt 1) into 1 9.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.103 * [backup-simplify]: Simplify (+ 0 0) into 0 9.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.103 * [taylor]: Taking taylor expansion of 1 in im 9.103 * [backup-simplify]: Simplify 1 into 1 9.103 * [taylor]: Taking taylor expansion of 0 in im 9.103 * [backup-simplify]: Simplify 0 into 0 9.103 * [backup-simplify]: Simplify 1 into 1 9.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.104 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 9.105 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.105 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.105 * [taylor]: Taking taylor expansion of 1/2 in im 9.105 * [backup-simplify]: Simplify 1/2 into 1/2 9.105 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.105 * [taylor]: Taking taylor expansion of im in im 9.105 * [backup-simplify]: Simplify 0 into 0 9.105 * [backup-simplify]: Simplify 1 into 1 9.106 * [backup-simplify]: Simplify (* 1 1) into 1 9.106 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.107 * [backup-simplify]: Simplify 0 into 0 9.107 * [backup-simplify]: Simplify 0 into 0 9.107 * [backup-simplify]: Simplify 0 into 0 9.107 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.109 * [backup-simplify]: Simplify (+ 0 0) into 0 9.109 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.109 * [taylor]: Taking taylor expansion of 0 in im 9.109 * [backup-simplify]: Simplify 0 into 0 9.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.110 * [backup-simplify]: Simplify 0 into 0 9.110 * [backup-simplify]: Simplify 0 into 0 9.110 * [backup-simplify]: Simplify 0 into 0 9.110 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 9.110 * * * * [progress]: [ 2 / 3 ] generating series at (2) 9.111 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 9.111 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 9.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 9.111 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 9.111 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.111 * [taylor]: Taking taylor expansion of re in im 9.111 * [backup-simplify]: Simplify re into re 9.111 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.111 * [taylor]: Taking taylor expansion of im in im 9.111 * [backup-simplify]: Simplify 0 into 0 9.111 * [backup-simplify]: Simplify 1 into 1 9.111 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.111 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 9.111 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.111 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.111 * [backup-simplify]: Simplify (+ 0 0) into 0 9.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.112 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 9.112 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 9.112 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.112 * [taylor]: Taking taylor expansion of re in re 9.112 * [backup-simplify]: Simplify 0 into 0 9.112 * [backup-simplify]: Simplify 1 into 1 9.112 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.112 * [taylor]: Taking taylor expansion of im in re 9.112 * [backup-simplify]: Simplify im into im 9.112 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.112 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.112 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.112 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.112 * [backup-simplify]: Simplify (+ 0 0) into 0 9.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.112 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 9.112 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 9.112 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.112 * [taylor]: Taking taylor expansion of re in re 9.112 * [backup-simplify]: Simplify 0 into 0 9.112 * [backup-simplify]: Simplify 1 into 1 9.112 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.112 * [taylor]: Taking taylor expansion of im in re 9.112 * [backup-simplify]: Simplify im into im 9.112 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.113 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.113 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.113 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.113 * [backup-simplify]: Simplify (+ 0 0) into 0 9.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.113 * [taylor]: Taking taylor expansion of im in im 9.113 * [backup-simplify]: Simplify 0 into 0 9.113 * [backup-simplify]: Simplify 1 into 1 9.113 * [backup-simplify]: Simplify 0 into 0 9.113 * [taylor]: Taking taylor expansion of 0 in im 9.113 * [backup-simplify]: Simplify 0 into 0 9.113 * [backup-simplify]: Simplify 0 into 0 9.113 * [backup-simplify]: Simplify 1 into 1 9.114 * [backup-simplify]: Simplify (* 1 1) into 1 9.114 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.114 * [backup-simplify]: Simplify (+ 1 0) into 1 9.115 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 9.115 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 9.115 * [taylor]: Taking taylor expansion of 1/2 in im 9.115 * [backup-simplify]: Simplify 1/2 into 1/2 9.115 * [taylor]: Taking taylor expansion of im in im 9.115 * [backup-simplify]: Simplify 0 into 0 9.115 * [backup-simplify]: Simplify 1 into 1 9.115 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.115 * [backup-simplify]: Simplify 0 into 0 9.115 * [backup-simplify]: Simplify 0 into 0 9.115 * [backup-simplify]: Simplify 0 into 0 9.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.116 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 9.117 * [backup-simplify]: Simplify (+ 0 0) into 0 9.117 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 9.117 * [taylor]: Taking taylor expansion of 0 in im 9.117 * [backup-simplify]: Simplify 0 into 0 9.117 * [backup-simplify]: Simplify 0 into 0 9.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.117 * [backup-simplify]: Simplify 0 into 0 9.117 * [backup-simplify]: Simplify 0 into 0 9.117 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 9.118 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 9.118 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 9.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 9.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 9.118 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.118 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.118 * [taylor]: Taking taylor expansion of im in im 9.118 * [backup-simplify]: Simplify 0 into 0 9.118 * [backup-simplify]: Simplify 1 into 1 9.118 * [backup-simplify]: Simplify (* 1 1) into 1 9.118 * [backup-simplify]: Simplify (/ 1 1) into 1 9.118 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.118 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.118 * [taylor]: Taking taylor expansion of re in im 9.118 * [backup-simplify]: Simplify re into re 9.118 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.119 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.119 * [backup-simplify]: Simplify (+ 1 0) into 1 9.119 * [backup-simplify]: Simplify (sqrt 1) into 1 9.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.120 * [backup-simplify]: Simplify (+ 0 0) into 0 9.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.121 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.121 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.121 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.121 * [taylor]: Taking taylor expansion of im in re 9.121 * [backup-simplify]: Simplify im into im 9.121 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.121 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.121 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.121 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.121 * [taylor]: Taking taylor expansion of re in re 9.121 * [backup-simplify]: Simplify 0 into 0 9.121 * [backup-simplify]: Simplify 1 into 1 9.121 * [backup-simplify]: Simplify (* 1 1) into 1 9.121 * [backup-simplify]: Simplify (/ 1 1) into 1 9.122 * [backup-simplify]: Simplify (+ 0 1) into 1 9.122 * [backup-simplify]: Simplify (sqrt 1) into 1 9.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.123 * [backup-simplify]: Simplify (+ 0 0) into 0 9.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.124 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.124 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.124 * [taylor]: Taking taylor expansion of im in re 9.124 * [backup-simplify]: Simplify im into im 9.124 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.124 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.124 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.124 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.124 * [taylor]: Taking taylor expansion of re in re 9.124 * [backup-simplify]: Simplify 0 into 0 9.124 * [backup-simplify]: Simplify 1 into 1 9.124 * [backup-simplify]: Simplify (* 1 1) into 1 9.125 * [backup-simplify]: Simplify (/ 1 1) into 1 9.125 * [backup-simplify]: Simplify (+ 0 1) into 1 9.125 * [backup-simplify]: Simplify (sqrt 1) into 1 9.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.127 * [backup-simplify]: Simplify (+ 0 0) into 0 9.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.127 * [taylor]: Taking taylor expansion of 1 in im 9.127 * [backup-simplify]: Simplify 1 into 1 9.127 * [taylor]: Taking taylor expansion of 0 in im 9.127 * [backup-simplify]: Simplify 0 into 0 9.127 * [backup-simplify]: Simplify 1 into 1 9.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.128 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 9.129 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.129 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.129 * [taylor]: Taking taylor expansion of 1/2 in im 9.129 * [backup-simplify]: Simplify 1/2 into 1/2 9.129 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.129 * [taylor]: Taking taylor expansion of im in im 9.129 * [backup-simplify]: Simplify 0 into 0 9.129 * [backup-simplify]: Simplify 1 into 1 9.129 * [backup-simplify]: Simplify (* 1 1) into 1 9.130 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.131 * [backup-simplify]: Simplify 0 into 0 9.131 * [backup-simplify]: Simplify 0 into 0 9.131 * [backup-simplify]: Simplify 0 into 0 9.131 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.132 * [backup-simplify]: Simplify (+ 0 0) into 0 9.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.133 * [taylor]: Taking taylor expansion of 0 in im 9.133 * [backup-simplify]: Simplify 0 into 0 9.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.134 * [backup-simplify]: Simplify 0 into 0 9.134 * [backup-simplify]: Simplify 0 into 0 9.134 * [backup-simplify]: Simplify 0 into 0 9.134 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 9.134 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 9.134 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 9.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 9.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 9.134 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.134 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.134 * [taylor]: Taking taylor expansion of im in im 9.134 * [backup-simplify]: Simplify 0 into 0 9.134 * [backup-simplify]: Simplify 1 into 1 9.135 * [backup-simplify]: Simplify (* 1 1) into 1 9.135 * [backup-simplify]: Simplify (/ 1 1) into 1 9.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.135 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.135 * [taylor]: Taking taylor expansion of re in im 9.135 * [backup-simplify]: Simplify re into re 9.135 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.135 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.136 * [backup-simplify]: Simplify (+ 1 0) into 1 9.136 * [backup-simplify]: Simplify (sqrt 1) into 1 9.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.138 * [backup-simplify]: Simplify (+ 0 0) into 0 9.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.138 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.139 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.139 * [taylor]: Taking taylor expansion of im in re 9.139 * [backup-simplify]: Simplify im into im 9.139 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.139 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.139 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.139 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.139 * [taylor]: Taking taylor expansion of re in re 9.139 * [backup-simplify]: Simplify 0 into 0 9.139 * [backup-simplify]: Simplify 1 into 1 9.139 * [backup-simplify]: Simplify (* 1 1) into 1 9.140 * [backup-simplify]: Simplify (/ 1 1) into 1 9.140 * [backup-simplify]: Simplify (+ 0 1) into 1 9.141 * [backup-simplify]: Simplify (sqrt 1) into 1 9.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.142 * [backup-simplify]: Simplify (+ 0 0) into 0 9.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 9.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.143 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.143 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.143 * [taylor]: Taking taylor expansion of im in re 9.143 * [backup-simplify]: Simplify im into im 9.143 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.143 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.143 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.144 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.144 * [taylor]: Taking taylor expansion of re in re 9.144 * [backup-simplify]: Simplify 0 into 0 9.144 * [backup-simplify]: Simplify 1 into 1 9.144 * [backup-simplify]: Simplify (* 1 1) into 1 9.144 * [backup-simplify]: Simplify (/ 1 1) into 1 9.145 * [backup-simplify]: Simplify (+ 0 1) into 1 9.145 * [backup-simplify]: Simplify (sqrt 1) into 1 9.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.147 * [backup-simplify]: Simplify (+ 0 0) into 0 9.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.148 * [taylor]: Taking taylor expansion of 1 in im 9.148 * [backup-simplify]: Simplify 1 into 1 9.148 * [taylor]: Taking taylor expansion of 0 in im 9.148 * [backup-simplify]: Simplify 0 into 0 9.148 * [backup-simplify]: Simplify 1 into 1 9.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.150 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 9.156 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.156 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.156 * [taylor]: Taking taylor expansion of 1/2 in im 9.157 * [backup-simplify]: Simplify 1/2 into 1/2 9.157 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.157 * [taylor]: Taking taylor expansion of im in im 9.157 * [backup-simplify]: Simplify 0 into 0 9.157 * [backup-simplify]: Simplify 1 into 1 9.157 * [backup-simplify]: Simplify (* 1 1) into 1 9.157 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.159 * [backup-simplify]: Simplify 0 into 0 9.159 * [backup-simplify]: Simplify 0 into 0 9.159 * [backup-simplify]: Simplify 0 into 0 9.159 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.162 * [backup-simplify]: Simplify (+ 0 0) into 0 9.163 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.163 * [taylor]: Taking taylor expansion of 0 in im 9.163 * [backup-simplify]: Simplify 0 into 0 9.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.165 * [backup-simplify]: Simplify 0 into 0 9.165 * [backup-simplify]: Simplify 0 into 0 9.165 * [backup-simplify]: Simplify 0 into 0 9.165 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 9.165 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 9.165 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 9.165 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 9.165 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 9.165 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.166 * [taylor]: Taking taylor expansion of re in im 9.166 * [backup-simplify]: Simplify re into re 9.166 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.166 * [taylor]: Taking taylor expansion of im in im 9.166 * [backup-simplify]: Simplify 0 into 0 9.166 * [backup-simplify]: Simplify 1 into 1 9.166 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 9.166 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.166 * [taylor]: Taking taylor expansion of re in re 9.166 * [backup-simplify]: Simplify 0 into 0 9.166 * [backup-simplify]: Simplify 1 into 1 9.166 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.166 * [taylor]: Taking taylor expansion of im in re 9.166 * [backup-simplify]: Simplify im into im 9.166 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 9.166 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.166 * [taylor]: Taking taylor expansion of re in re 9.166 * [backup-simplify]: Simplify 0 into 0 9.166 * [backup-simplify]: Simplify 1 into 1 9.166 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.166 * [taylor]: Taking taylor expansion of im in re 9.166 * [backup-simplify]: Simplify im into im 9.166 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.167 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.167 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.167 * [taylor]: Taking taylor expansion of im in im 9.167 * [backup-simplify]: Simplify 0 into 0 9.167 * [backup-simplify]: Simplify 1 into 1 9.167 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.167 * [backup-simplify]: Simplify (+ 0 0) into 0 9.167 * [taylor]: Taking taylor expansion of 0 in im 9.167 * [backup-simplify]: Simplify 0 into 0 9.167 * [backup-simplify]: Simplify 0 into 0 9.168 * [backup-simplify]: Simplify (* 1 1) into 1 9.168 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.169 * [backup-simplify]: Simplify (+ 1 0) into 1 9.169 * [taylor]: Taking taylor expansion of 1 in im 9.169 * [backup-simplify]: Simplify 1 into 1 9.169 * [backup-simplify]: Simplify 1 into 1 9.169 * [backup-simplify]: Simplify 0 into 0 9.169 * [backup-simplify]: Simplify (* 1 1) into 1 9.169 * [backup-simplify]: Simplify 1 into 1 9.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.171 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 9.171 * [backup-simplify]: Simplify (+ 0 0) into 0 9.171 * [taylor]: Taking taylor expansion of 0 in im 9.171 * [backup-simplify]: Simplify 0 into 0 9.171 * [backup-simplify]: Simplify 0 into 0 9.171 * [backup-simplify]: Simplify 0 into 0 9.171 * [backup-simplify]: Simplify 0 into 0 9.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.172 * [backup-simplify]: Simplify 0 into 0 9.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.174 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 9.175 * [backup-simplify]: Simplify (+ 0 0) into 0 9.175 * [taylor]: Taking taylor expansion of 0 in im 9.175 * [backup-simplify]: Simplify 0 into 0 9.175 * [backup-simplify]: Simplify 0 into 0 9.175 * [backup-simplify]: Simplify 0 into 0 9.175 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 9.176 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 9.176 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 9.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 9.176 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.176 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.176 * [taylor]: Taking taylor expansion of im in im 9.176 * [backup-simplify]: Simplify 0 into 0 9.176 * [backup-simplify]: Simplify 1 into 1 9.176 * [backup-simplify]: Simplify (* 1 1) into 1 9.177 * [backup-simplify]: Simplify (/ 1 1) into 1 9.177 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.177 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.177 * [taylor]: Taking taylor expansion of re in im 9.177 * [backup-simplify]: Simplify re into re 9.177 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.177 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.177 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.177 * [taylor]: Taking taylor expansion of im in re 9.177 * [backup-simplify]: Simplify im into im 9.177 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.178 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.178 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.178 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.178 * [taylor]: Taking taylor expansion of re in re 9.178 * [backup-simplify]: Simplify 0 into 0 9.178 * [backup-simplify]: Simplify 1 into 1 9.178 * [backup-simplify]: Simplify (* 1 1) into 1 9.178 * [backup-simplify]: Simplify (/ 1 1) into 1 9.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.179 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.179 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.179 * [taylor]: Taking taylor expansion of im in re 9.179 * [backup-simplify]: Simplify im into im 9.179 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.179 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.179 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.179 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.179 * [taylor]: Taking taylor expansion of re in re 9.179 * [backup-simplify]: Simplify 0 into 0 9.179 * [backup-simplify]: Simplify 1 into 1 9.179 * [backup-simplify]: Simplify (* 1 1) into 1 9.180 * [backup-simplify]: Simplify (/ 1 1) into 1 9.180 * [backup-simplify]: Simplify (+ 0 1) into 1 9.180 * [taylor]: Taking taylor expansion of 1 in im 9.180 * [backup-simplify]: Simplify 1 into 1 9.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.181 * [backup-simplify]: Simplify (+ 0 0) into 0 9.181 * [taylor]: Taking taylor expansion of 0 in im 9.181 * [backup-simplify]: Simplify 0 into 0 9.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.182 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 9.182 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.182 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.182 * [taylor]: Taking taylor expansion of im in im 9.182 * [backup-simplify]: Simplify 0 into 0 9.182 * [backup-simplify]: Simplify 1 into 1 9.183 * [backup-simplify]: Simplify (* 1 1) into 1 9.183 * [backup-simplify]: Simplify (/ 1 1) into 1 9.183 * [backup-simplify]: Simplify 1 into 1 9.183 * [backup-simplify]: Simplify 1 into 1 9.183 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.184 * [backup-simplify]: Simplify (+ 0 0) into 0 9.184 * [taylor]: Taking taylor expansion of 0 in im 9.184 * [backup-simplify]: Simplify 0 into 0 9.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.185 * [backup-simplify]: Simplify 0 into 0 9.185 * [backup-simplify]: Simplify 0 into 0 9.185 * [backup-simplify]: Simplify 0 into 0 9.186 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 9.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.187 * [backup-simplify]: Simplify (+ 0 0) into 0 9.187 * [taylor]: Taking taylor expansion of 0 in im 9.187 * [backup-simplify]: Simplify 0 into 0 9.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.188 * [backup-simplify]: Simplify 0 into 0 9.188 * [backup-simplify]: Simplify 0 into 0 9.188 * [backup-simplify]: Simplify 0 into 0 9.189 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 9.189 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 9.189 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 9.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 9.189 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.189 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.189 * [taylor]: Taking taylor expansion of im in im 9.189 * [backup-simplify]: Simplify 0 into 0 9.189 * [backup-simplify]: Simplify 1 into 1 9.189 * [backup-simplify]: Simplify (* 1 1) into 1 9.190 * [backup-simplify]: Simplify (/ 1 1) into 1 9.190 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.190 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.190 * [taylor]: Taking taylor expansion of re in im 9.190 * [backup-simplify]: Simplify re into re 9.190 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.190 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.190 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.190 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.190 * [taylor]: Taking taylor expansion of im in re 9.190 * [backup-simplify]: Simplify im into im 9.190 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.190 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.190 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.190 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.190 * [taylor]: Taking taylor expansion of re in re 9.190 * [backup-simplify]: Simplify 0 into 0 9.190 * [backup-simplify]: Simplify 1 into 1 9.190 * [backup-simplify]: Simplify (* 1 1) into 1 9.191 * [backup-simplify]: Simplify (/ 1 1) into 1 9.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 9.191 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.191 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.191 * [taylor]: Taking taylor expansion of im in re 9.191 * [backup-simplify]: Simplify im into im 9.191 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.191 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.191 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.191 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.191 * [taylor]: Taking taylor expansion of re in re 9.191 * [backup-simplify]: Simplify 0 into 0 9.191 * [backup-simplify]: Simplify 1 into 1 9.191 * [backup-simplify]: Simplify (* 1 1) into 1 9.191 * [backup-simplify]: Simplify (/ 1 1) into 1 9.192 * [backup-simplify]: Simplify (+ 0 1) into 1 9.192 * [taylor]: Taking taylor expansion of 1 in im 9.192 * [backup-simplify]: Simplify 1 into 1 9.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.193 * [backup-simplify]: Simplify (+ 0 0) into 0 9.193 * [taylor]: Taking taylor expansion of 0 in im 9.193 * [backup-simplify]: Simplify 0 into 0 9.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.194 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 9.194 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.194 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.194 * [taylor]: Taking taylor expansion of im in im 9.194 * [backup-simplify]: Simplify 0 into 0 9.194 * [backup-simplify]: Simplify 1 into 1 9.195 * [backup-simplify]: Simplify (* 1 1) into 1 9.195 * [backup-simplify]: Simplify (/ 1 1) into 1 9.195 * [backup-simplify]: Simplify 1 into 1 9.195 * [backup-simplify]: Simplify 1 into 1 9.195 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.197 * [backup-simplify]: Simplify (+ 0 0) into 0 9.197 * [taylor]: Taking taylor expansion of 0 in im 9.197 * [backup-simplify]: Simplify 0 into 0 9.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.198 * [backup-simplify]: Simplify 0 into 0 9.198 * [backup-simplify]: Simplify 0 into 0 9.198 * [backup-simplify]: Simplify 0 into 0 9.198 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 9.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.200 * [backup-simplify]: Simplify (+ 0 0) into 0 9.200 * [taylor]: Taking taylor expansion of 0 in im 9.200 * [backup-simplify]: Simplify 0 into 0 9.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.201 * [backup-simplify]: Simplify 0 into 0 9.201 * [backup-simplify]: Simplify 0 into 0 9.201 * [backup-simplify]: Simplify 0 into 0 9.201 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 9.201 * * * [progress]: simplifying candidates 9.202 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (exp (log (sqrt (cbrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log 1)) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (exp (log (sqrt (- (* re re) (* im im))))) (log (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (exp (log (sqrt (+ (* re re) (* im im)))))) (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 9.203 * * [simplify]: Extracting # 0 : cost 0 9.203 * * [simplify]: Extracting # 1 : cost 0 9.204 * * [simplify]: Extracting # 2 : cost 0 9.204 * * [simplify]: Extracting # 3 : cost 0 9.204 * * [simplify]: Extracting # 4 : cost 0 9.204 * * [simplify]: Extracting # 5 : cost 0 9.204 * * [simplify]: Extracting # 6 : cost 0 9.204 * * [simplify]: iteration 0 : 87 enodes (cost 739 ) 9.228 * * [simplify]: Extracting # 0 : cost 0 9.228 * * [simplify]: Extracting # 1 : cost 0 9.229 * * [simplify]: Extracting # 2 : cost 0 9.229 * * [simplify]: Extracting # 3 : cost 0 9.229 * * [simplify]: Extracting # 4 : cost 0 9.230 * * [simplify]: iteration 1 : 169 enodes (cost 626 ) 9.322 * * [simplify]: Extracting # 0 : cost 0 9.322 * * [simplify]: Extracting # 1 : cost 0 9.323 * * [simplify]: Extracting # 2 : cost 0 9.323 * * [simplify]: Extracting # 3 : cost 0 9.324 * * [simplify]: Extracting # 4 : cost 0 9.324 * * [simplify]: iteration 2 : 398 enodes (cost 534 ) 9.496 * * [simplify]: Extracting # 0 : cost 0 9.498 * * [simplify]: Extracting # 1 : cost 0 9.500 * * [simplify]: Extracting # 2 : cost 0 9.502 * * [simplify]: Extracting # 3 : cost 0 9.503 * * [simplify]: Extracting # 4 : cost 0 9.505 * * [simplify]: iteration 3 : 1056 enodes (cost 534 ) 10.225 * * [simplify]: Extracting # 0 : cost 0 10.239 * * [simplify]: Extracting # 1 : cost 0 10.244 * * [simplify]: Extracting # 2 : cost 0 10.249 * * [simplify]: Extracting # 3 : cost 0 10.254 * * [simplify]: Extracting # 4 : cost 0 10.259 * * [simplify]: iteration 4 : 2807 enodes (cost 528 ) 11.650 * * [simplify]: Extracting # 0 : cost 0 11.655 * * [simplify]: Extracting # 1 : cost 0 11.660 * * [simplify]: Extracting # 2 : cost 0 11.665 * * [simplify]: Extracting # 3 : cost 0 11.670 * * [simplify]: Extracting # 4 : cost 0 11.680 * * [simplify]: Extracting # 5 : cost 0 11.696 * * [simplify]: iteration done: 5001 enodes (cost 528 ) 11.697 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp 1/2) E (exp 1/2) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) E (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (cbrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow im 6) (pow re 6)) (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) im re (- re) im re (- re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 11.697 * * * [progress]: adding candidates to table 11.864 * [progress]: [Phase 3 of 3] Extracting. 11.864 * * [regime]: Finding splitpoints for: (# # # # # # # # # #)