6.334 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying: (sqrt (+ (* re re) (* im im))) 0.035 * * [simplify]: iteration 0: 6 enodes 0.036 * * [simplify]: iteration 1: 7 enodes 0.037 * * [simplify]: iteration complete: 7 enodes 0.037 * * [simplify]: Extracting #0: cost 1 inf + 0 0.037 * * [simplify]: Extracting #1: cost 2 inf + 0 0.037 * * [simplify]: Extracting #2: cost 4 inf + 0 0.037 * * [simplify]: Extracting #3: cost 6 inf + 0 0.037 * * [simplify]: Extracting #4: cost 3 inf + 43 0.037 * * [simplify]: Extracting #5: cost 0 inf + 368 0.037 * [simplify]: Simplified to: (sqrt (+ (* re re) (* im im))) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.056 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.069 * * * [progress]: generating series expansions 0.069 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.069 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.069 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.069 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.069 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.069 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.069 * [taylor]: Taking taylor expansion of im in im 0.069 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.070 * [taylor]: Taking taylor expansion of re in im 0.070 * [backup-simplify]: Simplify re into re 0.070 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.070 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.070 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.070 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.071 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.071 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.071 * [taylor]: Taking taylor expansion of im in re 0.071 * [backup-simplify]: Simplify im into im 0.071 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.071 * [taylor]: Taking taylor expansion of re in re 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.071 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.071 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.072 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.072 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.072 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.072 * [taylor]: Taking taylor expansion of im in re 0.072 * [backup-simplify]: Simplify im into im 0.072 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.072 * [taylor]: Taking taylor expansion of re in re 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.073 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.073 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.073 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.074 * [taylor]: Taking taylor expansion of im in im 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [taylor]: Taking taylor expansion of 0 in im 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.075 * [backup-simplify]: Simplify (* 1 1) into 1 0.075 * [backup-simplify]: Simplify (+ 0 1) into 1 0.076 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.076 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.076 * [taylor]: Taking taylor expansion of 1/2 in im 0.076 * [backup-simplify]: Simplify 1/2 into 1/2 0.076 * [taylor]: Taking taylor expansion of im in im 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.080 * [taylor]: Taking taylor expansion of 0 in im 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.081 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.081 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.081 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.082 * [taylor]: Taking taylor expansion of re in im 0.082 * [backup-simplify]: Simplify re into re 0.082 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.082 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.082 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.082 * [taylor]: Taking taylor expansion of im in im 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (* 1 1) into 1 0.083 * [backup-simplify]: Simplify (/ 1 1) into 1 0.083 * [backup-simplify]: Simplify (+ 0 1) into 1 0.084 * [backup-simplify]: Simplify (sqrt 1) into 1 0.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.086 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.086 * [taylor]: Taking taylor expansion of re in re 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (* 1 1) into 1 0.087 * [backup-simplify]: Simplify (/ 1 1) into 1 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.087 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.087 * [taylor]: Taking taylor expansion of im in re 0.087 * [backup-simplify]: Simplify im into im 0.087 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.087 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.088 * [backup-simplify]: Simplify (+ 1 0) into 1 0.088 * [backup-simplify]: Simplify (sqrt 1) into 1 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.091 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.091 * [taylor]: Taking taylor expansion of re in re 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (* 1 1) into 1 0.092 * [backup-simplify]: Simplify (/ 1 1) into 1 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.092 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.092 * [taylor]: Taking taylor expansion of im in re 0.092 * [backup-simplify]: Simplify im into im 0.092 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.092 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.093 * [backup-simplify]: Simplify (+ 1 0) into 1 0.093 * [backup-simplify]: Simplify (sqrt 1) into 1 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.096 * [taylor]: Taking taylor expansion of 1 in im 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [taylor]: Taking taylor expansion of 0 in im 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.100 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.100 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.100 * [taylor]: Taking taylor expansion of 1/2 in im 0.100 * [backup-simplify]: Simplify 1/2 into 1/2 0.100 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.100 * [taylor]: Taking taylor expansion of im in im 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (* 1 1) into 1 0.101 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.106 * [taylor]: Taking taylor expansion of 0 in im 0.106 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.109 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.109 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.109 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.109 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.109 * [taylor]: Taking taylor expansion of re in im 0.109 * [backup-simplify]: Simplify re into re 0.109 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.109 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.109 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.109 * [taylor]: Taking taylor expansion of im in im 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (* 1 1) into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.111 * [backup-simplify]: Simplify (+ 0 1) into 1 0.111 * [backup-simplify]: Simplify (sqrt 1) into 1 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.114 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.114 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.114 * [taylor]: Taking taylor expansion of re in re 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (* 1 1) into 1 0.115 * [backup-simplify]: Simplify (/ 1 1) into 1 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.115 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.115 * [taylor]: Taking taylor expansion of im in re 0.115 * [backup-simplify]: Simplify im into im 0.115 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.115 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.116 * [backup-simplify]: Simplify (+ 1 0) into 1 0.116 * [backup-simplify]: Simplify (sqrt 1) into 1 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.119 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.119 * [taylor]: Taking taylor expansion of re in re 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (* 1 1) into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.119 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.119 * [taylor]: Taking taylor expansion of im in re 0.119 * [backup-simplify]: Simplify im into im 0.120 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.120 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.120 * [backup-simplify]: Simplify (+ 1 0) into 1 0.120 * [backup-simplify]: Simplify (sqrt 1) into 1 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.123 * [taylor]: Taking taylor expansion of 1 in im 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [taylor]: Taking taylor expansion of 0 in im 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.126 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.127 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.127 * [taylor]: Taking taylor expansion of 1/2 in im 0.127 * [backup-simplify]: Simplify 1/2 into 1/2 0.127 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.127 * [taylor]: Taking taylor expansion of im in im 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (* 1 1) into 1 0.127 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.133 * [taylor]: Taking taylor expansion of 0 in im 0.133 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.135 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.135 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2)) 0.135 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0 0.135 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.135 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.135 * [taylor]: Taking taylor expansion of im in im 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.135 * [taylor]: Taking taylor expansion of re in im 0.135 * [backup-simplify]: Simplify re into re 0.135 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.135 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.135 * [taylor]: Taking taylor expansion of im in re 0.136 * [backup-simplify]: Simplify im into im 0.136 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.136 * [taylor]: Taking taylor expansion of re in re 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.136 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.136 * [taylor]: Taking taylor expansion of im in re 0.136 * [backup-simplify]: Simplify im into im 0.136 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.136 * [taylor]: Taking taylor expansion of re in re 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.136 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.136 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.136 * [taylor]: Taking taylor expansion of im in im 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (+ (* im 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 0.138 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.138 * [backup-simplify]: Simplify (* 1 1) into 1 0.138 * [backup-simplify]: Simplify (+ 0 1) into 1 0.138 * [taylor]: Taking taylor expansion of 1 in im 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (* 1 1) into 1 0.139 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [taylor]: Taking taylor expansion of 0 in im 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [taylor]: Taking taylor expansion of 0 in im 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2)) 0.145 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.145 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.145 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.145 * [taylor]: Taking taylor expansion of re in im 0.145 * [backup-simplify]: Simplify re into re 0.145 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.145 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 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 0.146 * [backup-simplify]: Simplify (* 1 1) into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.146 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.146 * [taylor]: Taking taylor expansion of re in re 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (* 1 1) into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.146 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.146 * [taylor]: Taking taylor expansion of im in re 0.146 * [backup-simplify]: Simplify im into im 0.146 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.147 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.147 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.147 * [taylor]: Taking taylor expansion of re in re 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (* 1 1) into 1 0.147 * [backup-simplify]: Simplify (/ 1 1) into 1 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.147 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.147 * [taylor]: Taking taylor expansion of im in re 0.147 * [backup-simplify]: Simplify im into im 0.147 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.147 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.153 * [backup-simplify]: Simplify (+ 1 0) into 1 0.153 * [taylor]: Taking taylor expansion of 1 in im 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [taylor]: Taking taylor expansion of 0 in im 0.154 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.156 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.156 * [taylor]: Taking taylor expansion of im in im 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (* 1 1) into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [taylor]: Taking taylor expansion of 0 in im 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) 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 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.163 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.163 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.163 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.163 * [taylor]: Taking taylor expansion of re in im 0.163 * [backup-simplify]: Simplify re into re 0.163 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.163 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 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 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.164 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.164 * [taylor]: Taking taylor expansion of re in re 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (* 1 1) into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.164 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.164 * [taylor]: Taking taylor expansion of im in re 0.164 * [backup-simplify]: Simplify im into im 0.164 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.164 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.164 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.165 * [taylor]: Taking taylor expansion of re in re 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (* 1 1) into 1 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.165 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.165 * [taylor]: Taking taylor expansion of im in re 0.165 * [backup-simplify]: Simplify im into im 0.165 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.165 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.166 * [backup-simplify]: Simplify (+ 1 0) into 1 0.166 * [taylor]: Taking taylor expansion of 1 in im 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 0) (* 0 1))) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.168 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.168 * [taylor]: Taking taylor expansion of im in im 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (* 1 1) into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [taylor]: Taking taylor expansion of 0 in im 0.170 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.174 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [taylor]: Taking taylor expansion of 0 in im 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.175 * * * [progress]: simplifying candidates 0.176 * [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 im 2) (pow re 2)) (+ (pow im 2) (pow re 2)) (+ (pow im 2) (pow re 2)) 0.176 * * [simplify]: iteration 0: 48 enodes 0.185 * * [simplify]: iteration 1: 142 enodes 0.262 * * [simplify]: iteration 2: 770 enodes 0.526 * * [simplify]: iteration complete: 5000 enodes 0.526 * * [simplify]: Extracting #0: cost 28 inf + 0 0.527 * * [simplify]: Extracting #1: cost 262 inf + 4 0.532 * * [simplify]: Extracting #2: cost 1739 inf + 4350 0.545 * * [simplify]: Extracting #3: cost 1667 inf + 70823 0.604 * * [simplify]: Extracting #4: cost 347 inf + 269973 0.670 * * [simplify]: Extracting #5: cost 43 inf + 330604 0.760 * * [simplify]: Extracting #6: cost 0 inf + 342675 0.841 * [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)))) (* (sqrt (+ (* re re) (* im im))) (+ (* 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 (+ (* (* (* re re) (* re re)) (* re re)) (* (* im (* im im)) (* im (* im im))))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (* (+ re im) (- re 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))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (* (* (* re re) (* re re)) (* re re)) (* (* im (* im im)) (* im (* im im)))) (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))) (* (+ (* re re) (* im im)) (- (* re re) (* im im))) (* (+ re im) (- re im)) im re (- re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 0.844 * * * [progress]: adding candidates to table 0.986 * * [progress]: iteration 2 / 4 0.986 * * * [progress]: picking best candidate 0.998 * * * * [pick]: Picked # 0.999 * * * [progress]: localizing error 1.043 * * * [progress]: generating rewritten candidates 1.043 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.050 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.058 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.065 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.155 * * * [progress]: generating series expansions 1.155 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.155 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow im 2) (pow re 2)) 1/3) 1.156 * [approximate]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in (re im) around 0 1.156 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im 1.156 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im 1.156 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im 1.156 * [taylor]: Taking taylor expansion of 1/3 in im 1.156 * [backup-simplify]: Simplify 1/3 into 1/3 1.156 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 1.156 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.156 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.156 * [taylor]: Taking taylor expansion of im in im 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify 1 into 1 1.156 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.156 * [taylor]: Taking taylor expansion of re in im 1.156 * [backup-simplify]: Simplify re into re 1.156 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.156 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.156 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 1.157 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 1.157 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 1.157 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 1.157 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 1.157 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 1.157 * [taylor]: Taking taylor expansion of 1/3 in re 1.157 * [backup-simplify]: Simplify 1/3 into 1/3 1.157 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 1.157 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.157 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.157 * [taylor]: Taking taylor expansion of im in re 1.157 * [backup-simplify]: Simplify im into im 1.157 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.157 * [taylor]: Taking taylor expansion of re in re 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify 1 into 1 1.157 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.157 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.157 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 1.158 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 1.158 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 1.158 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 1.158 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 1.158 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 1.158 * [taylor]: Taking taylor expansion of 1/3 in re 1.158 * [backup-simplify]: Simplify 1/3 into 1/3 1.158 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 1.158 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.158 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.158 * [taylor]: Taking taylor expansion of im in re 1.158 * [backup-simplify]: Simplify im into im 1.158 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.158 * [taylor]: Taking taylor expansion of re in re 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [backup-simplify]: Simplify 1 into 1 1.158 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.158 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.159 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 1.159 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 1.159 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 1.159 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 1.159 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 1.159 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 1.159 * [taylor]: Taking taylor expansion of 1/3 in im 1.159 * [backup-simplify]: Simplify 1/3 into 1/3 1.159 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 1.159 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.159 * [taylor]: Taking taylor expansion of im in im 1.159 * [backup-simplify]: Simplify 0 into 0 1.159 * [backup-simplify]: Simplify 1 into 1 1.160 * [backup-simplify]: Simplify (* 1 1) into 1 1.160 * [backup-simplify]: Simplify (log 1) into 0 1.161 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.161 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 1.161 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 1.161 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 1.161 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.162 * [backup-simplify]: Simplify (+ 0 0) into 0 1.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 1.163 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 1.164 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.164 * [taylor]: Taking taylor expansion of 0 in im 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify 0 into 0 1.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.166 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.167 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.167 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 1.168 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.168 * [backup-simplify]: Simplify 0 into 0 1.169 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.172 * [backup-simplify]: Simplify (* 1 1) into 1 1.173 * [backup-simplify]: Simplify (+ 0 1) into 1 1.175 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 1.176 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 1.177 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.177 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 1.177 * [taylor]: Taking taylor expansion of 1/3 in im 1.177 * [backup-simplify]: Simplify 1/3 into 1/3 1.177 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 1.177 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 1.177 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 1.178 * [taylor]: Taking taylor expansion of 1/3 in im 1.178 * [backup-simplify]: Simplify 1/3 into 1/3 1.178 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 1.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.178 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.178 * [taylor]: Taking taylor expansion of im in im 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify 1 into 1 1.178 * [backup-simplify]: Simplify (* 1 1) into 1 1.178 * [backup-simplify]: Simplify (* 1 1) into 1 1.179 * [backup-simplify]: Simplify (/ 1 1) into 1 1.179 * [backup-simplify]: Simplify (log 1) into 0 1.180 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 1.180 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 1.180 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 1.180 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.181 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.181 * [backup-simplify]: Simplify 0 into 0 1.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.184 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.185 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.186 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 1.187 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.187 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.190 * [backup-simplify]: Simplify (+ 0 0) into 0 1.193 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 1.194 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 1.196 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.196 * [taylor]: Taking taylor expansion of 0 in im 1.196 * [backup-simplify]: Simplify 0 into 0 1.196 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.200 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 1.201 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 1.202 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.202 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 1.202 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.208 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.209 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.210 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 1.212 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.212 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) 1.213 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 1.213 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 1.213 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 1.213 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 1.213 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 1.213 * [taylor]: Taking taylor expansion of 1/3 in im 1.213 * [backup-simplify]: Simplify 1/3 into 1/3 1.213 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.213 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.213 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.213 * [taylor]: Taking taylor expansion of re in im 1.213 * [backup-simplify]: Simplify re into re 1.213 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.214 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.214 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.214 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.214 * [taylor]: Taking taylor expansion of im in im 1.214 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify 1 into 1 1.214 * [backup-simplify]: Simplify (* 1 1) into 1 1.215 * [backup-simplify]: Simplify (/ 1 1) into 1 1.215 * [backup-simplify]: Simplify (+ 0 1) into 1 1.215 * [backup-simplify]: Simplify (log 1) into 0 1.216 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 1.216 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 1.216 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 1.216 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 1.216 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.216 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.216 * [taylor]: Taking taylor expansion of 1/3 in re 1.216 * [backup-simplify]: Simplify 1/3 into 1/3 1.216 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.216 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.216 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.216 * [taylor]: Taking taylor expansion of re in re 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify 1 into 1 1.217 * [backup-simplify]: Simplify (* 1 1) into 1 1.217 * [backup-simplify]: Simplify (/ 1 1) into 1 1.217 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.217 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.217 * [taylor]: Taking taylor expansion of im in re 1.217 * [backup-simplify]: Simplify im into im 1.217 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.218 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.218 * [backup-simplify]: Simplify (+ 1 0) into 1 1.218 * [backup-simplify]: Simplify (log 1) into 0 1.219 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.219 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.219 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.219 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 1.219 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.219 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.219 * [taylor]: Taking taylor expansion of 1/3 in re 1.219 * [backup-simplify]: Simplify 1/3 into 1/3 1.219 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.219 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.219 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.219 * [taylor]: Taking taylor expansion of re in re 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 1 into 1 1.220 * [backup-simplify]: Simplify (* 1 1) into 1 1.220 * [backup-simplify]: Simplify (/ 1 1) into 1 1.220 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.220 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.220 * [taylor]: Taking taylor expansion of im in re 1.220 * [backup-simplify]: Simplify im into im 1.220 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.221 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.221 * [backup-simplify]: Simplify (+ 1 0) into 1 1.221 * [backup-simplify]: Simplify (log 1) into 0 1.222 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.222 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.222 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.222 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 1.222 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 1.222 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 1.222 * [taylor]: Taking taylor expansion of -2/3 in im 1.222 * [backup-simplify]: Simplify -2/3 into -2/3 1.222 * [taylor]: Taking taylor expansion of (log re) in im 1.222 * [taylor]: Taking taylor expansion of re in im 1.222 * [backup-simplify]: Simplify re into re 1.223 * [backup-simplify]: Simplify (log re) into (log re) 1.223 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 1.223 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.223 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 1.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.225 * [backup-simplify]: Simplify (+ 0 0) into 0 1.226 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.227 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.227 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 1.228 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.228 * [taylor]: Taking taylor expansion of 0 in im 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.229 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 1.230 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.230 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.232 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.235 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 1.235 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.236 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 1.237 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 1.237 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 1.237 * [taylor]: Taking taylor expansion of 1/3 in im 1.237 * [backup-simplify]: Simplify 1/3 into 1/3 1.237 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 1.237 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.237 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.237 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.237 * [taylor]: Taking taylor expansion of 1/3 in im 1.237 * [backup-simplify]: Simplify 1/3 into 1/3 1.237 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.237 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.237 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.237 * [taylor]: Taking taylor expansion of re in im 1.237 * [backup-simplify]: Simplify re into re 1.237 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.238 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.238 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 1.238 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 1.238 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 1.238 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.238 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.238 * [taylor]: Taking taylor expansion of im in im 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 1 into 1 1.239 * [backup-simplify]: Simplify (* 1 1) into 1 1.239 * [backup-simplify]: Simplify (/ 1 1) into 1 1.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.243 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.244 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 1.244 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 1.245 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.246 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 1.249 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 1.250 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 1.251 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.252 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.253 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 1.253 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 1.254 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 1.254 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.257 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.258 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.258 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.261 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.262 * [backup-simplify]: Simplify (+ 0 0) into 0 1.265 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.265 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.266 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 1.267 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.267 * [taylor]: Taking taylor expansion of 0 in im 1.267 * [backup-simplify]: Simplify 0 into 0 1.267 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 1.268 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 1.268 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 1.268 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 1.268 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 1.268 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 1.268 * [taylor]: Taking taylor expansion of 1/3 in im 1.268 * [backup-simplify]: Simplify 1/3 into 1/3 1.268 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.268 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.268 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.268 * [taylor]: Taking taylor expansion of re in im 1.268 * [backup-simplify]: Simplify re into re 1.268 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.268 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.268 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.268 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.268 * [taylor]: Taking taylor expansion of im in im 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify 1 into 1 1.268 * [backup-simplify]: Simplify (* 1 1) into 1 1.269 * [backup-simplify]: Simplify (/ 1 1) into 1 1.269 * [backup-simplify]: Simplify (+ 0 1) into 1 1.269 * [backup-simplify]: Simplify (log 1) into 0 1.269 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 1.270 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 1.270 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 1.270 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 1.270 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.270 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.270 * [taylor]: Taking taylor expansion of 1/3 in re 1.270 * [backup-simplify]: Simplify 1/3 into 1/3 1.270 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.270 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.270 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.270 * [taylor]: Taking taylor expansion of re in re 1.270 * [backup-simplify]: Simplify 0 into 0 1.270 * [backup-simplify]: Simplify 1 into 1 1.270 * [backup-simplify]: Simplify (* 1 1) into 1 1.270 * [backup-simplify]: Simplify (/ 1 1) into 1 1.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.270 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.270 * [taylor]: Taking taylor expansion of im in re 1.270 * [backup-simplify]: Simplify im into im 1.270 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.270 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.271 * [backup-simplify]: Simplify (+ 1 0) into 1 1.271 * [backup-simplify]: Simplify (log 1) into 0 1.271 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.271 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.271 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.271 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 1.271 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.271 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.271 * [taylor]: Taking taylor expansion of 1/3 in re 1.271 * [backup-simplify]: Simplify 1/3 into 1/3 1.271 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.272 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.272 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.272 * [taylor]: Taking taylor expansion of re in re 1.272 * [backup-simplify]: Simplify 0 into 0 1.272 * [backup-simplify]: Simplify 1 into 1 1.272 * [backup-simplify]: Simplify (* 1 1) into 1 1.272 * [backup-simplify]: Simplify (/ 1 1) into 1 1.272 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.272 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.272 * [taylor]: Taking taylor expansion of im in re 1.272 * [backup-simplify]: Simplify im into im 1.272 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.272 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.273 * [backup-simplify]: Simplify (+ 1 0) into 1 1.273 * [backup-simplify]: Simplify (log 1) into 0 1.273 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.273 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.273 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.273 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 1.273 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 1.273 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 1.273 * [taylor]: Taking taylor expansion of -2/3 in im 1.273 * [backup-simplify]: Simplify -2/3 into -2/3 1.273 * [taylor]: Taking taylor expansion of (log re) in im 1.273 * [taylor]: Taking taylor expansion of re in im 1.273 * [backup-simplify]: Simplify re into re 1.273 * [backup-simplify]: Simplify (log re) into (log re) 1.273 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 1.274 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.274 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 1.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.275 * [backup-simplify]: Simplify (+ 0 0) into 0 1.275 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.276 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.276 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 1.277 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.277 * [taylor]: Taking taylor expansion of 0 in im 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.278 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 1.278 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.278 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.279 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.281 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 1.281 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.281 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 1.282 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 1.282 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 1.282 * [taylor]: Taking taylor expansion of 1/3 in im 1.282 * [backup-simplify]: Simplify 1/3 into 1/3 1.282 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 1.282 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.282 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.282 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.282 * [taylor]: Taking taylor expansion of 1/3 in im 1.282 * [backup-simplify]: Simplify 1/3 into 1/3 1.282 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.282 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.282 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.282 * [taylor]: Taking taylor expansion of re in im 1.282 * [backup-simplify]: Simplify re into re 1.282 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.282 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.282 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 1.283 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 1.283 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 1.283 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.283 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.283 * [taylor]: Taking taylor expansion of im in im 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify 1 into 1 1.283 * [backup-simplify]: Simplify (* 1 1) into 1 1.283 * [backup-simplify]: Simplify (/ 1 1) into 1 1.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.285 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.286 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 1.287 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 1.287 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.288 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 1.289 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 1.290 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 1.290 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.291 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.291 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 1.292 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 1.292 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 1.292 * [backup-simplify]: Simplify 0 into 0 1.292 * [backup-simplify]: Simplify 0 into 0 1.294 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.295 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.296 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.296 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.298 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.299 * [backup-simplify]: Simplify (+ 0 0) into 0 1.303 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.304 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.305 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 1.307 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.307 * [taylor]: Taking taylor expansion of 0 in im 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 1.307 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.308 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow im 2) (pow re 2)) 1/3) 1.308 * [approximate]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in (re im) around 0 1.308 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im 1.308 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im 1.308 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im 1.308 * [taylor]: Taking taylor expansion of 1/3 in im 1.308 * [backup-simplify]: Simplify 1/3 into 1/3 1.308 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 1.308 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.308 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.308 * [taylor]: Taking taylor expansion of im in im 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.308 * [taylor]: Taking taylor expansion of re in im 1.308 * [backup-simplify]: Simplify re into re 1.308 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.308 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.308 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 1.309 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 1.309 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 1.309 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 1.309 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 1.309 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 1.309 * [taylor]: Taking taylor expansion of 1/3 in re 1.309 * [backup-simplify]: Simplify 1/3 into 1/3 1.309 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 1.309 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.309 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.309 * [taylor]: Taking taylor expansion of im in re 1.309 * [backup-simplify]: Simplify im into im 1.309 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.309 * [taylor]: Taking taylor expansion of re in re 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 1 into 1 1.309 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.310 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.310 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 1.310 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 1.310 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 1.310 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 1.310 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 1.310 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 1.310 * [taylor]: Taking taylor expansion of 1/3 in re 1.310 * [backup-simplify]: Simplify 1/3 into 1/3 1.310 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 1.310 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.310 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.310 * [taylor]: Taking taylor expansion of im in re 1.310 * [backup-simplify]: Simplify im into im 1.310 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.310 * [taylor]: Taking taylor expansion of re in re 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 1 into 1 1.310 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.311 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.311 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 1.311 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 1.311 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 1.311 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 1.311 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 1.311 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 1.311 * [taylor]: Taking taylor expansion of 1/3 in im 1.311 * [backup-simplify]: Simplify 1/3 into 1/3 1.311 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 1.311 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.311 * [taylor]: Taking taylor expansion of im in im 1.311 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify 1 into 1 1.312 * [backup-simplify]: Simplify (* 1 1) into 1 1.312 * [backup-simplify]: Simplify (log 1) into 0 1.318 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.318 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 1.318 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 1.318 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 1.318 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.319 * [backup-simplify]: Simplify (+ 0 0) into 0 1.320 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 1.320 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 1.321 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.321 * [taylor]: Taking taylor expansion of 0 in im 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.322 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.323 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.323 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 1.323 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.323 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.324 * [backup-simplify]: Simplify (* 1 1) into 1 1.324 * [backup-simplify]: Simplify (+ 0 1) into 1 1.325 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 1.326 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 1.326 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.326 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 1.326 * [taylor]: Taking taylor expansion of 1/3 in im 1.327 * [backup-simplify]: Simplify 1/3 into 1/3 1.327 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 1.327 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 1.327 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 1.327 * [taylor]: Taking taylor expansion of 1/3 in im 1.327 * [backup-simplify]: Simplify 1/3 into 1/3 1.327 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 1.327 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.327 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.327 * [taylor]: Taking taylor expansion of im in im 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 1 into 1 1.327 * [backup-simplify]: Simplify (* 1 1) into 1 1.327 * [backup-simplify]: Simplify (* 1 1) into 1 1.327 * [backup-simplify]: Simplify (/ 1 1) into 1 1.328 * [backup-simplify]: Simplify (log 1) into 0 1.328 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 1.328 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 1.328 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 1.328 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.328 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.328 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.330 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.331 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.331 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 1.332 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.332 * [backup-simplify]: Simplify 0 into 0 1.333 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.333 * [backup-simplify]: Simplify (+ 0 0) into 0 1.335 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 1.336 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 1.337 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.337 * [taylor]: Taking taylor expansion of 0 in im 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.339 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.339 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 1.340 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 1.340 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.341 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.344 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.345 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.345 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 1.346 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.346 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) 1.347 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 1.347 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 1.347 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 1.347 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 1.347 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 1.347 * [taylor]: Taking taylor expansion of 1/3 in im 1.347 * [backup-simplify]: Simplify 1/3 into 1/3 1.347 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.347 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.347 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.347 * [taylor]: Taking taylor expansion of re in im 1.347 * [backup-simplify]: Simplify re into re 1.347 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.347 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.347 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.347 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.347 * [taylor]: Taking taylor expansion of im in im 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify 1 into 1 1.348 * [backup-simplify]: Simplify (* 1 1) into 1 1.348 * [backup-simplify]: Simplify (/ 1 1) into 1 1.348 * [backup-simplify]: Simplify (+ 0 1) into 1 1.348 * [backup-simplify]: Simplify (log 1) into 0 1.349 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 1.349 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 1.349 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 1.349 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 1.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.349 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.349 * [taylor]: Taking taylor expansion of 1/3 in re 1.349 * [backup-simplify]: Simplify 1/3 into 1/3 1.349 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.349 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.349 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.349 * [taylor]: Taking taylor expansion of re in re 1.349 * [backup-simplify]: Simplify 0 into 0 1.349 * [backup-simplify]: Simplify 1 into 1 1.349 * [backup-simplify]: Simplify (* 1 1) into 1 1.350 * [backup-simplify]: Simplify (/ 1 1) into 1 1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.350 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.350 * [taylor]: Taking taylor expansion of im in re 1.350 * [backup-simplify]: Simplify im into im 1.350 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.350 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.350 * [backup-simplify]: Simplify (+ 1 0) into 1 1.350 * [backup-simplify]: Simplify (log 1) into 0 1.351 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.351 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.351 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.351 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 1.351 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.351 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.351 * [taylor]: Taking taylor expansion of 1/3 in re 1.351 * [backup-simplify]: Simplify 1/3 into 1/3 1.351 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.351 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.351 * [taylor]: Taking taylor expansion of re in re 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify 1 into 1 1.351 * [backup-simplify]: Simplify (* 1 1) into 1 1.351 * [backup-simplify]: Simplify (/ 1 1) into 1 1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.351 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.351 * [taylor]: Taking taylor expansion of im in re 1.351 * [backup-simplify]: Simplify im into im 1.352 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.352 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.352 * [backup-simplify]: Simplify (+ 1 0) into 1 1.352 * [backup-simplify]: Simplify (log 1) into 0 1.352 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.352 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.353 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.353 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 1.353 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 1.353 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 1.353 * [taylor]: Taking taylor expansion of -2/3 in im 1.353 * [backup-simplify]: Simplify -2/3 into -2/3 1.353 * [taylor]: Taking taylor expansion of (log re) in im 1.353 * [taylor]: Taking taylor expansion of re in im 1.353 * [backup-simplify]: Simplify re into re 1.353 * [backup-simplify]: Simplify (log re) into (log re) 1.353 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 1.353 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.353 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 1.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.355 * [backup-simplify]: Simplify (+ 0 0) into 0 1.356 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.357 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.357 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 1.358 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.358 * [taylor]: Taking taylor expansion of 0 in im 1.358 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.360 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 1.361 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.361 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.363 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.365 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 1.366 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.366 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 1.367 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 1.368 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 1.368 * [taylor]: Taking taylor expansion of 1/3 in im 1.368 * [backup-simplify]: Simplify 1/3 into 1/3 1.368 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 1.368 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.368 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.368 * [taylor]: Taking taylor expansion of 1/3 in im 1.368 * [backup-simplify]: Simplify 1/3 into 1/3 1.368 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.368 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.368 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.368 * [taylor]: Taking taylor expansion of re in im 1.368 * [backup-simplify]: Simplify re into re 1.368 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.368 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.368 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 1.368 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 1.369 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 1.369 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.369 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.369 * [taylor]: Taking taylor expansion of im in im 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 1 into 1 1.369 * [backup-simplify]: Simplify (* 1 1) into 1 1.370 * [backup-simplify]: Simplify (/ 1 1) into 1 1.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.373 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.375 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 1.375 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 1.376 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.377 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 1.379 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 1.380 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 1.382 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.383 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.383 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 1.384 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 1.385 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.388 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.389 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.389 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.392 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.392 * [backup-simplify]: Simplify (+ 0 0) into 0 1.396 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.397 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.398 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 1.400 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.400 * [taylor]: Taking taylor expansion of 0 in im 1.400 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 1.401 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 1.401 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 1.401 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 1.401 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 1.401 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 1.401 * [taylor]: Taking taylor expansion of 1/3 in im 1.401 * [backup-simplify]: Simplify 1/3 into 1/3 1.401 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.401 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.401 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.401 * [taylor]: Taking taylor expansion of re in im 1.401 * [backup-simplify]: Simplify re into re 1.402 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.402 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.402 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.402 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.402 * [taylor]: Taking taylor expansion of im in im 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 1 into 1 1.402 * [backup-simplify]: Simplify (* 1 1) into 1 1.403 * [backup-simplify]: Simplify (/ 1 1) into 1 1.403 * [backup-simplify]: Simplify (+ 0 1) into 1 1.403 * [backup-simplify]: Simplify (log 1) into 0 1.404 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 1.404 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 1.404 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 1.404 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 1.404 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.404 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.404 * [taylor]: Taking taylor expansion of 1/3 in re 1.404 * [backup-simplify]: Simplify 1/3 into 1/3 1.404 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.404 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.404 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.404 * [taylor]: Taking taylor expansion of re in re 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify 1 into 1 1.405 * [backup-simplify]: Simplify (* 1 1) into 1 1.405 * [backup-simplify]: Simplify (/ 1 1) into 1 1.405 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.405 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.405 * [taylor]: Taking taylor expansion of im in re 1.405 * [backup-simplify]: Simplify im into im 1.405 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.406 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.406 * [backup-simplify]: Simplify (+ 1 0) into 1 1.406 * [backup-simplify]: Simplify (log 1) into 0 1.407 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.407 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.407 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.407 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 1.407 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.407 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.407 * [taylor]: Taking taylor expansion of 1/3 in re 1.407 * [backup-simplify]: Simplify 1/3 into 1/3 1.407 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.407 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.407 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.407 * [taylor]: Taking taylor expansion of re in re 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.408 * [backup-simplify]: Simplify (* 1 1) into 1 1.408 * [backup-simplify]: Simplify (/ 1 1) into 1 1.408 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.408 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.408 * [taylor]: Taking taylor expansion of im in re 1.408 * [backup-simplify]: Simplify im into im 1.409 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.409 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.409 * [backup-simplify]: Simplify (+ 1 0) into 1 1.410 * [backup-simplify]: Simplify (log 1) into 0 1.410 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.410 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.410 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.410 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 1.410 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 1.410 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 1.410 * [taylor]: Taking taylor expansion of -2/3 in im 1.411 * [backup-simplify]: Simplify -2/3 into -2/3 1.411 * [taylor]: Taking taylor expansion of (log re) in im 1.411 * [taylor]: Taking taylor expansion of re in im 1.411 * [backup-simplify]: Simplify re into re 1.411 * [backup-simplify]: Simplify (log re) into (log re) 1.411 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 1.411 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.411 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 1.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.413 * [backup-simplify]: Simplify (+ 0 0) into 0 1.414 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.415 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.415 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 1.416 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.416 * [taylor]: Taking taylor expansion of 0 in im 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.418 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 1.419 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.419 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.421 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.423 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 1.424 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.424 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 1.425 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 1.426 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 1.426 * [taylor]: Taking taylor expansion of 1/3 in im 1.426 * [backup-simplify]: Simplify 1/3 into 1/3 1.426 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 1.426 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.426 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.426 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.426 * [taylor]: Taking taylor expansion of 1/3 in im 1.426 * [backup-simplify]: Simplify 1/3 into 1/3 1.426 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.426 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.426 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.426 * [taylor]: Taking taylor expansion of re in im 1.426 * [backup-simplify]: Simplify re into re 1.426 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.426 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.426 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 1.426 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 1.427 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 1.427 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.427 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.427 * [taylor]: Taking taylor expansion of im in im 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify 1 into 1 1.427 * [backup-simplify]: Simplify (* 1 1) into 1 1.428 * [backup-simplify]: Simplify (/ 1 1) into 1 1.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.431 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.432 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 1.433 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 1.434 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.434 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 1.437 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 1.438 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 1.440 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.441 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.441 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 1.442 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 1.443 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 1.443 * [backup-simplify]: Simplify 0 into 0 1.443 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.446 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.447 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.447 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.455 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.456 * [backup-simplify]: Simplify (+ 0 0) into 0 1.459 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.460 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.461 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 1.463 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.463 * [taylor]: Taking taylor expansion of 0 in im 1.463 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 1.464 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.464 * [backup-simplify]: Simplify (cbrt (+ (* re re) (* im im))) into (pow (+ (pow im 2) (pow re 2)) 1/3) 1.464 * [approximate]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in (re im) around 0 1.464 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im 1.464 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im 1.464 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im 1.464 * [taylor]: Taking taylor expansion of 1/3 in im 1.464 * [backup-simplify]: Simplify 1/3 into 1/3 1.464 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 1.464 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.464 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.464 * [taylor]: Taking taylor expansion of im in im 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify 1 into 1 1.464 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.464 * [taylor]: Taking taylor expansion of re in im 1.464 * [backup-simplify]: Simplify re into re 1.464 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.464 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.465 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 1.465 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 1.465 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 1.465 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 1.465 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 1.465 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 1.465 * [taylor]: Taking taylor expansion of 1/3 in re 1.465 * [backup-simplify]: Simplify 1/3 into 1/3 1.465 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 1.465 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.465 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.465 * [taylor]: Taking taylor expansion of im in re 1.465 * [backup-simplify]: Simplify im into im 1.465 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.465 * [taylor]: Taking taylor expansion of re in re 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 1 into 1 1.465 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.465 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.466 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 1.466 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 1.466 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 1.466 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 1.466 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 1.466 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 1.466 * [taylor]: Taking taylor expansion of 1/3 in re 1.466 * [backup-simplify]: Simplify 1/3 into 1/3 1.466 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 1.466 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.466 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.466 * [taylor]: Taking taylor expansion of im in re 1.466 * [backup-simplify]: Simplify im into im 1.466 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.466 * [taylor]: Taking taylor expansion of re in re 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 1 into 1 1.466 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.466 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.467 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 1.467 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 1.467 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 1.467 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 1.467 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 1.467 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 1.467 * [taylor]: Taking taylor expansion of 1/3 in im 1.467 * [backup-simplify]: Simplify 1/3 into 1/3 1.467 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 1.467 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.467 * [taylor]: Taking taylor expansion of im in im 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify 1 into 1 1.468 * [backup-simplify]: Simplify (* 1 1) into 1 1.468 * [backup-simplify]: Simplify (log 1) into 0 1.469 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.469 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 1.469 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 1.469 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 1.469 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.469 * [backup-simplify]: Simplify (+ 0 0) into 0 1.470 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 1.470 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 1.471 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.471 * [taylor]: Taking taylor expansion of 0 in im 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.472 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.472 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.472 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 1.473 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.474 * [backup-simplify]: Simplify (* 1 1) into 1 1.474 * [backup-simplify]: Simplify (+ 0 1) into 1 1.475 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 1.475 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 1.476 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.476 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 1.476 * [taylor]: Taking taylor expansion of 1/3 in im 1.476 * [backup-simplify]: Simplify 1/3 into 1/3 1.476 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 1.476 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 1.476 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 1.476 * [taylor]: Taking taylor expansion of 1/3 in im 1.476 * [backup-simplify]: Simplify 1/3 into 1/3 1.476 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 1.476 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 1.476 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.476 * [taylor]: Taking taylor expansion of im in im 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify 1 into 1 1.477 * [backup-simplify]: Simplify (* 1 1) into 1 1.477 * [backup-simplify]: Simplify (* 1 1) into 1 1.477 * [backup-simplify]: Simplify (/ 1 1) into 1 1.477 * [backup-simplify]: Simplify (log 1) into 0 1.478 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 1.478 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 1.478 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 1.478 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.478 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 1.478 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.480 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.481 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.481 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 1.482 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.482 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.483 * [backup-simplify]: Simplify (+ 0 0) into 0 1.485 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 1.486 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 1.487 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.487 * [taylor]: Taking taylor expansion of 0 in im 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.489 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.489 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 1.490 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 1.490 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.491 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 1.491 * [backup-simplify]: Simplify 0 into 0 1.491 * [backup-simplify]: Simplify 0 into 0 1.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.494 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.495 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.495 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 1.496 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.496 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) 1.497 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 1.497 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 1.497 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 1.498 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 1.498 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 1.498 * [taylor]: Taking taylor expansion of 1/3 in im 1.498 * [backup-simplify]: Simplify 1/3 into 1/3 1.498 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.498 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.498 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.498 * [taylor]: Taking taylor expansion of re in im 1.498 * [backup-simplify]: Simplify re into re 1.498 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.498 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.498 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.498 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.498 * [taylor]: Taking taylor expansion of im in im 1.498 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify 1 into 1 1.499 * [backup-simplify]: Simplify (* 1 1) into 1 1.499 * [backup-simplify]: Simplify (/ 1 1) into 1 1.499 * [backup-simplify]: Simplify (+ 0 1) into 1 1.500 * [backup-simplify]: Simplify (log 1) into 0 1.500 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 1.500 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 1.500 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 1.500 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 1.501 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.501 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.501 * [taylor]: Taking taylor expansion of 1/3 in re 1.501 * [backup-simplify]: Simplify 1/3 into 1/3 1.501 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.501 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.501 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.501 * [taylor]: Taking taylor expansion of re in re 1.501 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify 1 into 1 1.501 * [backup-simplify]: Simplify (* 1 1) into 1 1.502 * [backup-simplify]: Simplify (/ 1 1) into 1 1.502 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.502 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.502 * [taylor]: Taking taylor expansion of im in re 1.502 * [backup-simplify]: Simplify im into im 1.502 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.502 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.503 * [backup-simplify]: Simplify (+ 1 0) into 1 1.503 * [backup-simplify]: Simplify (log 1) into 0 1.504 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.504 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.504 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.504 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 1.504 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.504 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.504 * [taylor]: Taking taylor expansion of 1/3 in re 1.504 * [backup-simplify]: Simplify 1/3 into 1/3 1.504 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.504 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.504 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.504 * [taylor]: Taking taylor expansion of re in re 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 1 into 1 1.505 * [backup-simplify]: Simplify (* 1 1) into 1 1.505 * [backup-simplify]: Simplify (/ 1 1) into 1 1.505 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.505 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.505 * [taylor]: Taking taylor expansion of im in re 1.505 * [backup-simplify]: Simplify im into im 1.505 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.505 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.506 * [backup-simplify]: Simplify (+ 1 0) into 1 1.506 * [backup-simplify]: Simplify (log 1) into 0 1.507 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.507 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.507 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.507 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 1.507 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 1.507 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 1.507 * [taylor]: Taking taylor expansion of -2/3 in im 1.507 * [backup-simplify]: Simplify -2/3 into -2/3 1.507 * [taylor]: Taking taylor expansion of (log re) in im 1.507 * [taylor]: Taking taylor expansion of re in im 1.507 * [backup-simplify]: Simplify re into re 1.507 * [backup-simplify]: Simplify (log re) into (log re) 1.507 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 1.507 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.508 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 1.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.509 * [backup-simplify]: Simplify (+ 0 0) into 0 1.511 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.511 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.512 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 1.513 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.513 * [taylor]: Taking taylor expansion of 0 in im 1.513 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.514 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 1.515 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.515 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.517 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.519 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 1.520 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.520 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 1.522 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 1.522 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 1.522 * [taylor]: Taking taylor expansion of 1/3 in im 1.522 * [backup-simplify]: Simplify 1/3 into 1/3 1.522 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 1.522 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.522 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.522 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.522 * [taylor]: Taking taylor expansion of 1/3 in im 1.522 * [backup-simplify]: Simplify 1/3 into 1/3 1.522 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.522 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.522 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.522 * [taylor]: Taking taylor expansion of re in im 1.522 * [backup-simplify]: Simplify re into re 1.522 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.522 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.522 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 1.522 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 1.523 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 1.523 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.523 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.523 * [taylor]: Taking taylor expansion of im in im 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify 1 into 1 1.523 * [backup-simplify]: Simplify (* 1 1) into 1 1.524 * [backup-simplify]: Simplify (/ 1 1) into 1 1.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.527 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.528 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 1.529 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 1.530 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.531 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 1.533 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 1.534 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 1.535 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.536 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.537 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 1.537 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 1.538 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.541 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.542 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.542 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.545 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.545 * [backup-simplify]: Simplify (+ 0 0) into 0 1.549 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.550 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.551 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 1.553 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.553 * [taylor]: Taking taylor expansion of 0 in im 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 1.554 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 1.554 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (re im) around 0 1.554 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 1.554 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 1.554 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 1.554 * [taylor]: Taking taylor expansion of 1/3 in im 1.554 * [backup-simplify]: Simplify 1/3 into 1/3 1.554 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.554 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.554 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.554 * [taylor]: Taking taylor expansion of re in im 1.555 * [backup-simplify]: Simplify re into re 1.555 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.555 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.555 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.555 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.555 * [taylor]: Taking taylor expansion of im in im 1.555 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify 1 into 1 1.555 * [backup-simplify]: Simplify (* 1 1) into 1 1.556 * [backup-simplify]: Simplify (/ 1 1) into 1 1.556 * [backup-simplify]: Simplify (+ 0 1) into 1 1.557 * [backup-simplify]: Simplify (log 1) into 0 1.557 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 1.557 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 1.557 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 1.557 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 1.558 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.558 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.558 * [taylor]: Taking taylor expansion of 1/3 in re 1.558 * [backup-simplify]: Simplify 1/3 into 1/3 1.558 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.558 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.558 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.558 * [taylor]: Taking taylor expansion of re in re 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify 1 into 1 1.558 * [backup-simplify]: Simplify (* 1 1) into 1 1.559 * [backup-simplify]: Simplify (/ 1 1) into 1 1.559 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.559 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.559 * [taylor]: Taking taylor expansion of im in re 1.559 * [backup-simplify]: Simplify im into im 1.559 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.559 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.559 * [backup-simplify]: Simplify (+ 1 0) into 1 1.560 * [backup-simplify]: Simplify (log 1) into 0 1.560 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.560 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.560 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.560 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 1.561 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.561 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.561 * [taylor]: Taking taylor expansion of 1/3 in re 1.561 * [backup-simplify]: Simplify 1/3 into 1/3 1.561 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.561 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.561 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.561 * [taylor]: Taking taylor expansion of re in re 1.561 * [backup-simplify]: Simplify 0 into 0 1.561 * [backup-simplify]: Simplify 1 into 1 1.561 * [backup-simplify]: Simplify (* 1 1) into 1 1.562 * [backup-simplify]: Simplify (/ 1 1) into 1 1.562 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.562 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.562 * [taylor]: Taking taylor expansion of im in re 1.562 * [backup-simplify]: Simplify im into im 1.562 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.562 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.562 * [backup-simplify]: Simplify (+ 1 0) into 1 1.563 * [backup-simplify]: Simplify (log 1) into 0 1.563 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.563 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 1.563 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.564 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 1.564 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 1.564 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 1.564 * [taylor]: Taking taylor expansion of -2/3 in im 1.564 * [backup-simplify]: Simplify -2/3 into -2/3 1.564 * [taylor]: Taking taylor expansion of (log re) in im 1.564 * [taylor]: Taking taylor expansion of re in im 1.564 * [backup-simplify]: Simplify re into re 1.564 * [backup-simplify]: Simplify (log re) into (log re) 1.564 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 1.564 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 1.564 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 1.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.566 * [backup-simplify]: Simplify (+ 0 0) into 0 1.567 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.568 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.569 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 1.569 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.569 * [taylor]: Taking taylor expansion of 0 in im 1.569 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.571 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 1.572 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.572 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.574 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.576 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 1.576 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.577 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 1.578 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 1.578 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 1.578 * [taylor]: Taking taylor expansion of 1/3 in im 1.578 * [backup-simplify]: Simplify 1/3 into 1/3 1.578 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 1.578 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 1.578 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 1.578 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 1.579 * [taylor]: Taking taylor expansion of 1/3 in im 1.579 * [backup-simplify]: Simplify 1/3 into 1/3 1.579 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 1.579 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.579 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.579 * [taylor]: Taking taylor expansion of re in im 1.579 * [backup-simplify]: Simplify re into re 1.579 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.579 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.579 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 1.579 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 1.579 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 1.580 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.580 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.580 * [taylor]: Taking taylor expansion of im in im 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify 1 into 1 1.581 * [backup-simplify]: Simplify (* 1 1) into 1 1.581 * [backup-simplify]: Simplify (/ 1 1) into 1 1.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.585 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.586 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 1.587 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 1.588 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.588 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 1.591 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 1.592 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 1.593 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.594 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.595 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 1.595 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 1.601 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.604 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.606 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.606 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.608 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.609 * [backup-simplify]: Simplify (+ 0 0) into 0 1.612 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.613 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.614 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 1.616 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.616 * [taylor]: Taking taylor expansion of 0 in im 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 1.617 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.617 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2))) 1.617 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 1.617 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 1.617 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.617 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.617 * [taylor]: Taking taylor expansion of im in im 1.617 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 1 into 1 1.618 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.618 * [taylor]: Taking taylor expansion of re in im 1.618 * [backup-simplify]: Simplify re into re 1.618 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.618 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.618 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.618 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.618 * [backup-simplify]: Simplify (+ 0 0) into 0 1.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.619 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.619 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.619 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.619 * [taylor]: Taking taylor expansion of im in re 1.619 * [backup-simplify]: Simplify im into im 1.619 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.619 * [taylor]: Taking taylor expansion of re in re 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.619 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.619 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.619 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.619 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.620 * [backup-simplify]: Simplify (+ 0 0) into 0 1.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.620 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.620 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.620 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.620 * [taylor]: Taking taylor expansion of im in re 1.620 * [backup-simplify]: Simplify im into im 1.620 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.620 * [taylor]: Taking taylor expansion of re in re 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify 1 into 1 1.620 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.620 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.620 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.621 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.621 * [backup-simplify]: Simplify (+ 0 0) into 0 1.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.621 * [taylor]: Taking taylor expansion of im in im 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 1 into 1 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [taylor]: Taking taylor expansion of 0 in im 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 1 into 1 1.622 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.622 * [backup-simplify]: Simplify (* 1 1) into 1 1.623 * [backup-simplify]: Simplify (+ 0 1) into 1 1.623 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.623 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.624 * [taylor]: Taking taylor expansion of 1/2 in im 1.624 * [backup-simplify]: Simplify 1/2 into 1/2 1.624 * [taylor]: Taking taylor expansion of im in im 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 1 into 1 1.624 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.627 * [backup-simplify]: Simplify (+ 0 0) into 0 1.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.627 * [taylor]: Taking taylor expansion of 0 in im 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.629 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (cbrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.629 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.629 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.629 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.629 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.629 * [taylor]: Taking taylor expansion of re in im 1.629 * [backup-simplify]: Simplify re into re 1.630 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.630 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.630 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.630 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.630 * [taylor]: Taking taylor expansion of im in im 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 1 into 1 1.630 * [backup-simplify]: Simplify (* 1 1) into 1 1.631 * [backup-simplify]: Simplify (/ 1 1) into 1 1.631 * [backup-simplify]: Simplify (+ 0 1) into 1 1.631 * [backup-simplify]: Simplify (sqrt 1) into 1 1.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.633 * [backup-simplify]: Simplify (+ 0 0) into 0 1.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.634 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.634 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.634 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.634 * [taylor]: Taking taylor expansion of re in re 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify 1 into 1 1.634 * [backup-simplify]: Simplify (* 1 1) into 1 1.635 * [backup-simplify]: Simplify (/ 1 1) into 1 1.635 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.635 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.635 * [taylor]: Taking taylor expansion of im in re 1.635 * [backup-simplify]: Simplify im into im 1.635 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.635 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.636 * [backup-simplify]: Simplify (+ 1 0) into 1 1.636 * [backup-simplify]: Simplify (sqrt 1) into 1 1.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.638 * [backup-simplify]: Simplify (+ 0 0) into 0 1.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.639 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.639 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.639 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.639 * [taylor]: Taking taylor expansion of re in re 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 1 into 1 1.639 * [backup-simplify]: Simplify (* 1 1) into 1 1.640 * [backup-simplify]: Simplify (/ 1 1) into 1 1.640 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.640 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.640 * [taylor]: Taking taylor expansion of im in re 1.640 * [backup-simplify]: Simplify im into im 1.640 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.640 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.641 * [backup-simplify]: Simplify (+ 1 0) into 1 1.641 * [backup-simplify]: Simplify (sqrt 1) into 1 1.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.643 * [backup-simplify]: Simplify (+ 0 0) into 0 1.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.644 * [taylor]: Taking taylor expansion of 1 in im 1.644 * [backup-simplify]: Simplify 1 into 1 1.644 * [taylor]: Taking taylor expansion of 0 in im 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 1 into 1 1.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.646 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.647 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.648 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.648 * [taylor]: Taking taylor expansion of 1/2 in im 1.648 * [backup-simplify]: Simplify 1/2 into 1/2 1.648 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.648 * [taylor]: Taking taylor expansion of im in im 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 1 into 1 1.648 * [backup-simplify]: Simplify (* 1 1) into 1 1.648 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.652 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.653 * [backup-simplify]: Simplify (+ 0 0) into 0 1.654 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.654 * [taylor]: Taking taylor expansion of 0 in im 1.654 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.657 * [backup-simplify]: Simplify (sqrt (* (* (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (cbrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.657 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.657 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.657 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.657 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.657 * [taylor]: Taking taylor expansion of re in im 1.657 * [backup-simplify]: Simplify re into re 1.658 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.658 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.658 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.658 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.658 * [taylor]: Taking taylor expansion of im in im 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify 1 into 1 1.658 * [backup-simplify]: Simplify (* 1 1) into 1 1.659 * [backup-simplify]: Simplify (/ 1 1) into 1 1.659 * [backup-simplify]: Simplify (+ 0 1) into 1 1.659 * [backup-simplify]: Simplify (sqrt 1) into 1 1.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.661 * [backup-simplify]: Simplify (+ 0 0) into 0 1.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.662 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.662 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.662 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.662 * [taylor]: Taking taylor expansion of re in re 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.663 * [backup-simplify]: Simplify (* 1 1) into 1 1.663 * [backup-simplify]: Simplify (/ 1 1) into 1 1.663 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.663 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.663 * [taylor]: Taking taylor expansion of im in re 1.663 * [backup-simplify]: Simplify im into im 1.663 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.663 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.664 * [backup-simplify]: Simplify (+ 1 0) into 1 1.664 * [backup-simplify]: Simplify (sqrt 1) into 1 1.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.666 * [backup-simplify]: Simplify (+ 0 0) into 0 1.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.667 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.667 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.667 * [taylor]: Taking taylor expansion of re in re 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 1 into 1 1.667 * [backup-simplify]: Simplify (* 1 1) into 1 1.668 * [backup-simplify]: Simplify (/ 1 1) into 1 1.668 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.668 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.668 * [taylor]: Taking taylor expansion of im in re 1.668 * [backup-simplify]: Simplify im into im 1.668 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.668 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.669 * [backup-simplify]: Simplify (+ 1 0) into 1 1.669 * [backup-simplify]: Simplify (sqrt 1) into 1 1.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.671 * [backup-simplify]: Simplify (+ 0 0) into 0 1.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.672 * [taylor]: Taking taylor expansion of 1 in im 1.672 * [backup-simplify]: Simplify 1 into 1 1.672 * [taylor]: Taking taylor expansion of 0 in im 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify 1 into 1 1.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.674 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.675 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.675 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.675 * [taylor]: Taking taylor expansion of 1/2 in im 1.675 * [backup-simplify]: Simplify 1/2 into 1/2 1.675 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.675 * [taylor]: Taking taylor expansion of im in im 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 1 into 1 1.676 * [backup-simplify]: Simplify (* 1 1) into 1 1.676 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.680 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.681 * [backup-simplify]: Simplify (+ 0 0) into 0 1.681 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.681 * [taylor]: Taking taylor expansion of 0 in im 1.681 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.684 * * * [progress]: simplifying candidates 1.687 * [simplify]: Simplifying: (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt 1) (cbrt 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(* re re)) (* (* im im) (* im im)))) (cbrt (- (* re re) (* im im))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (log (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (exp (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (cbrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))))) (cbrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (* (* (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* 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im im))))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (* (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im)))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (* (cbrt (- (* re re) (* im im))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* re re) (* im im)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (* (cbrt (- (* re re) (* im im))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* re re) (* im im)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (cbrt (- (* re re) (* im im)))) (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (+ (* re re) (* im im))))) (sqrt (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (+ (* re re) (* im im))))) (sqrt (* (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (+ (* re re) (* im im))))) (sqrt (* (cbrt (- (* re re) (* im im))) (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (+ (* re re) (* im im))))) (sqrt (* (cbrt (- (* re re) (* im im))) (cbrt (- (* re re) (* im im))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (- (* re re) (* im im)))) (sqrt (* (* (cbrt (+ (pow (* re re) 3) (pow (* im im) 3))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (- (* re re) (* im im)))) (/ (+ (+ 1/3 1/3) 1/3) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1/3) 1/3) 2) (/ (+ (* 2 1) 1) 2) (/ 1/3 2) (/ 1 2) (/ 1 2) (/ 3 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1) 1) 2) (/ 1 2) (sqrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))) (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) im re (* -1 re) 1.692 * * [simplify]: iteration 0: 164 enodes 1.760 * * [simplify]: iteration 1: 305 enodes 1.829 * * [simplify]: iteration 2: 701 enodes 2.323 * * [simplify]: iteration 3: 2997 enodes 3.331 * * [simplify]: iteration complete: 5004 enodes 3.331 * * [simplify]: Extracting #0: cost 47 inf + 0 3.331 * * [simplify]: Extracting #1: cost 83 inf + 47 3.332 * * [simplify]: Extracting #2: cost 229 inf + 469 3.340 * * [simplify]: Extracting #3: cost 1269 inf + 10445 3.368 * * [simplify]: Extracting #4: cost 936 inf + 80672 3.409 * * [simplify]: Extracting #5: cost 183 inf + 181450 3.451 * * [simplify]: Extracting #6: cost 21 inf + 215637 3.487 * * [simplify]: Extracting #7: cost 1 inf + 221625 3.534 * * [simplify]: Extracting #8: cost 0 inf + 221878 3.568 * [simplify]: Simplified to: (log (cbrt (+ (* im im) (* re re)))) (exp (cbrt (+ (* im im) (* re re)))) (cbrt (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))) (cbrt (cbrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))) 1 (cbrt (+ (* im im) (* re re))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re)))) (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (* (- re im) (+ re im))) (* (cbrt (cbrt (+ (* im im) (* re re)))) (cbrt (cbrt (+ (* im im) (* re re))))) (cbrt (cbrt (+ (* im im) (* re re)))) (+ (* im im) (* re re)) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (log (cbrt (+ (* im im) (* re re)))) (exp (cbrt (+ (* im im) (* re re)))) (cbrt (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))) (cbrt (cbrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))) 1 (cbrt (+ (* im im) (* re re))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re)))) (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (* (- re im) (+ re im))) (* (cbrt (cbrt (+ (* im im) (* re re)))) (cbrt (cbrt (+ (* im im) (* re re))))) (cbrt (cbrt (+ (* im im) (* re re)))) (+ (* im im) (* re re)) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (log (cbrt (+ (* im 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(cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re)))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re))))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re)))))) (sqrt (* (* (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))) (cbrt (* (- re im) (+ re im))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re))))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re)))))) (sqrt (* (* (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))) (cbrt (* (- re im) (+ re im))))) (sqrt (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re))))))) (sqrt (* (* (cbrt (* (- re im) (+ re im))) (cbrt (* (- re im) (+ re im)))) (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))))) (sqrt (* (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re))))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re)))))) (sqrt (* (* (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))) (cbrt (* (- re im) (+ re im))))) (sqrt (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re))))))) (sqrt (* (* (cbrt (* (- re im) (+ re im))) (cbrt (* (- re im) (+ re im)))) (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))))) (sqrt (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re))))))) (sqrt (* (* (cbrt (* (- re im) (+ re im))) (cbrt (* (- re im) (+ re im)))) (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (* (- re im) (+ re im))) (sqrt (* (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re))))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re)))))) (fabs (cbrt (+ (* (* im im) 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(cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re)))))) (fabs (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))) (sqrt (* (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re)))) (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* im im) (* re re)))))) (sqrt (* (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (cbrt (* (- re im) (+ re im))))) (sqrt (* (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re)))) (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* im im) (* re re)))))) (sqrt (* (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (cbrt (* (- re im) (+ re im))))) (sqrt (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* im im) (* re re)))))) (fabs (cbrt (* (- re im) (+ re im)))) (sqrt (* (cbrt 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re im))))) (sqrt (* (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re)))) (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* im im) (* re re)))))) (sqrt (* (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (cbrt (* (- re im) (+ re im))))) (sqrt (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (* (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (cbrt (+ (* im im) (* re re)))))) (fabs (cbrt (* (- re im) (+ re im)))) (sqrt (* (cbrt (+ (* im im) (* re re))) (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re))))))) (sqrt (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))) (sqrt (* (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (cbrt (* (- re im) (+ re im)))) (sqrt (* (cbrt (+ (* im im) (* re re))) (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* (* im im) (* (* im im) (* im im))) (* (* (* re re) (* re re)) (* re re))))))) (sqrt (cbrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))) (sqrt (* (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re)))) (cbrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (cbrt (* (- re im) (+ re im)))) 1/2 3/2 3/2 3/2 1/2 3/2 1/6 1/2 1/2 3/2 3/2 3/2 3/2 3/2 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (+ (* (* 1/3 (* (cbrt (/ 1 (* (* im im) (* im im)))) re)) re) (* (cbrt im) (cbrt im))) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (* (* 1/3 (* (cbrt (/ 1 (* (* im im) (* im im)))) re)) re) (* (cbrt im) (cbrt im))) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (* (* 1/3 (* (cbrt (/ 1 (* (* im im) (* im im)))) re)) re) (* (cbrt im) (cbrt im))) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) im re (- re) 3.582 * * * [progress]: adding candidates to table 4.087 * * [progress]: iteration 3 / 4 4.087 * * * [progress]: picking best candidate 4.098 * * * * [pick]: Picked # 4.098 * * * [progress]: localizing error 4.100 * * * [progress]: generating rewritten candidates 4.100 * * * [progress]: generating series expansions 4.100 * * * [progress]: simplifying candidates 4.100 * [simplify]: Simplifying: 4.101 * * [simplify]: iteration 0: 0 enodes 4.101 * * [simplify]: iteration complete: 0 enodes 4.101 * * [simplify]: Extracting #0: cost 0 inf + 0 4.101 * [simplify]: Simplified to: 4.101 * * * [progress]: adding candidates to table 4.101 * * [progress]: iteration 4 / 4 4.101 * * * [progress]: picking best candidate 4.107 * * * * [pick]: Picked # 4.107 * * * [progress]: localizing error 4.108 * * * [progress]: generating rewritten candidates 4.108 * * * [progress]: generating series expansions 4.108 * * * [progress]: simplifying candidates 4.108 * [simplify]: Simplifying: 4.108 * * [simplify]: iteration 0: 0 enodes 4.108 * * [simplify]: iteration complete: 0 enodes 4.108 * * [simplify]: Extracting #0: cost 0 inf + 0 4.108 * [simplify]: Simplified to: 4.108 * * * [progress]: adding candidates to table 4.108 * [progress]: [Phase 3 of 3] Extracting. 4.109 * * [regime]: Finding splitpoints for: (# # # # #) 4.109 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 4.109 * * * * [regimes]: Trying to branch on (* im im) from (# # # # #) 4.150 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 4.187 * * * * [regimes]: Trying to branch on (* re re) from (# # # # #) 4.225 * * * * [regimes]: Trying to branch on (* re re) from (# # #) 4.261 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # # #) 4.342 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# #) 4.375 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # # #) 4.421 * * * * [regimes]: Trying to branch on im from (# # # # #) 4.516 * * * * [regimes]: Trying to branch on re from (# # # # #) 4.578 * * * [regime]: Found split indices: #