0.024 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.022 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.022 * [simplify]: Simplifying: (sqrt (+ (* re re) (* im im))) 0.022 * * [simplify]: iteration 1: (6 enodes) 0.023 * * [simplify]: iteration 2: (7 enodes) 0.024 * * [simplify]: Extracting #0: cost 1 inf + 0 0.024 * * [simplify]: Extracting #1: cost 2 inf + 0 0.024 * * [simplify]: Extracting #2: cost 4 inf + 0 0.024 * * [simplify]: Extracting #3: cost 6 inf + 0 0.024 * * [simplify]: Extracting #4: cost 3 inf + 43 0.024 * * [simplify]: Extracting #5: cost 0 inf + 368 0.024 * [simplify]: Simplified to: (sqrt (+ (* re re) (* im im))) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.029 * * * * [pick]: Picked # 0.029 * * * [progress]: localizing error 0.064 * * * [progress]: generating rewritten candidates 0.064 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.077 * * * [progress]: generating series expansions 0.077 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.078 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.078 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.078 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.078 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.078 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.078 * [taylor]: Taking taylor expansion of im in im 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.078 * [taylor]: Taking taylor expansion of re in im 0.078 * [backup-simplify]: Simplify re into re 0.078 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.078 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.078 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.078 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.079 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.079 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.079 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.079 * [taylor]: Taking taylor expansion of im in re 0.079 * [backup-simplify]: Simplify im into im 0.079 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.079 * [taylor]: Taking taylor expansion of re in re 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.079 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.080 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.080 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.080 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.080 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.080 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.080 * [taylor]: Taking taylor expansion of im in re 0.080 * [backup-simplify]: Simplify im into im 0.080 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.080 * [taylor]: Taking taylor expansion of re in re 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.081 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.081 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.081 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.082 * [taylor]: Taking taylor expansion of im in im 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [taylor]: Taking taylor expansion of 0 in im 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.083 * [backup-simplify]: Simplify (* 1 1) into 1 0.083 * [backup-simplify]: Simplify (+ 0 1) into 1 0.084 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.084 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.084 * [taylor]: Taking taylor expansion of 1/2 in im 0.084 * [backup-simplify]: Simplify 1/2 into 1/2 0.084 * [taylor]: Taking taylor expansion of im in im 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.088 * [taylor]: Taking taylor expansion of 0 in im 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.090 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.090 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.090 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.090 * [taylor]: Taking taylor expansion of re in im 0.090 * [backup-simplify]: Simplify re into re 0.090 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.090 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.090 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.090 * [taylor]: Taking taylor expansion of im in im 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (* 1 1) into 1 0.091 * [backup-simplify]: Simplify (/ 1 1) into 1 0.091 * [backup-simplify]: Simplify (+ 0 1) into 1 0.092 * [backup-simplify]: Simplify (sqrt 1) into 1 0.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.095 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.095 * [taylor]: Taking taylor expansion of re in re 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (* 1 1) into 1 0.095 * [backup-simplify]: Simplify (/ 1 1) into 1 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.096 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.096 * [taylor]: Taking taylor expansion of im in re 0.096 * [backup-simplify]: Simplify im into im 0.096 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.096 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.096 * [backup-simplify]: Simplify (+ 1 0) into 1 0.097 * [backup-simplify]: Simplify (sqrt 1) into 1 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.099 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.099 * [taylor]: Taking taylor expansion of re in re 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (* 1 1) into 1 0.100 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.100 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.100 * [taylor]: Taking taylor expansion of im in re 0.100 * [backup-simplify]: Simplify im into im 0.100 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.100 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.101 * [backup-simplify]: Simplify (+ 1 0) into 1 0.101 * [backup-simplify]: Simplify (sqrt 1) into 1 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.104 * [taylor]: Taking taylor expansion of 1 in im 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [taylor]: Taking taylor expansion of 0 in im 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.108 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.108 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.108 * [taylor]: Taking taylor expansion of 1/2 in im 0.108 * [backup-simplify]: Simplify 1/2 into 1/2 0.108 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.108 * [taylor]: Taking taylor expansion of im in im 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (* 1 1) into 1 0.108 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.112 * [taylor]: Taking taylor expansion of 0 in im 0.112 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.114 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.114 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.114 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.114 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.114 * [taylor]: Taking taylor expansion of re in im 0.114 * [backup-simplify]: Simplify re into re 0.114 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.114 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.114 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.114 * [taylor]: Taking taylor expansion of im in im 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (* 1 1) into 1 0.115 * [backup-simplify]: Simplify (/ 1 1) into 1 0.115 * [backup-simplify]: Simplify (+ 0 1) into 1 0.116 * [backup-simplify]: Simplify (sqrt 1) into 1 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.117 * [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 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.118 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.118 * [taylor]: Taking taylor expansion of re in re 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (* 1 1) into 1 0.118 * [backup-simplify]: Simplify (/ 1 1) into 1 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.118 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.118 * [taylor]: Taking taylor expansion of im in re 0.118 * [backup-simplify]: Simplify im into im 0.119 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.119 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.119 * [backup-simplify]: Simplify (+ 1 0) into 1 0.119 * [backup-simplify]: Simplify (sqrt 1) into 1 0.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.121 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.121 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.121 * [taylor]: Taking taylor expansion of re in re 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (* 1 1) into 1 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.122 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.122 * [taylor]: Taking taylor expansion of im in re 0.122 * [backup-simplify]: Simplify im into im 0.122 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.122 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.122 * [backup-simplify]: Simplify (+ 1 0) into 1 0.123 * [backup-simplify]: Simplify (sqrt 1) into 1 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.125 * [taylor]: Taking taylor expansion of 1 in im 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [taylor]: Taking taylor expansion of 0 in im 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.127 * [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 0.128 * [backup-simplify]: Simplify (* 1 1) into 1 0.128 * [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 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.131 * [taylor]: Taking taylor expansion of 0 in im 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.132 * * * [progress]: simplifying candidates 0.132 * * * * [progress]: [ 1 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 2 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 3 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 4 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 5 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 6 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 7 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 8 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 9 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 10 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 11 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 12 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 13 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 14 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 15 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 16 / 19 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))> 0.133 * * * * [progress]: [ 17 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 18 / 19 ] simplifiying candidate # 0.133 * * * * [progress]: [ 19 / 19 ] simplifiying candidate # 0.133 * [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)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) im re (* -1 re) 0.134 * * [simplify]: iteration 1: (39 enodes) 0.142 * * [simplify]: iteration 2: (92 enodes) 0.172 * * [simplify]: iteration 3: (196 enodes) 0.239 * * [simplify]: iteration 4: (437 enodes) 0.424 * * [simplify]: iteration 5: (990 enodes) 0.984 * * [simplify]: Extracting #0: cost 19 inf + 0 0.984 * * [simplify]: Extracting #1: cost 27 inf + 4 0.985 * * [simplify]: Extracting #2: cost 175 inf + 47 0.987 * * [simplify]: Extracting #3: cost 532 inf + 3549 0.998 * * [simplify]: Extracting #4: cost 374 inf + 50072 1.044 * * [simplify]: Extracting #5: cost 100 inf + 116823 1.102 * * [simplify]: Extracting #6: cost 11 inf + 151976 1.139 * * [simplify]: Extracting #7: cost 0 inf + 157931 1.195 * [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 (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im)))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) im re (- re) 1.196 * * * [progress]: adding candidates to table 1.322 * * [progress]: iteration 2 / 4 1.322 * * * [progress]: picking best candidate 1.329 * * * * [pick]: Picked # 1.329 * * * [progress]: localizing error 1.352 * * * [progress]: generating rewritten candidates 1.352 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.358 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.368 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.380 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.390 * * * [progress]: generating series expansions 1.390 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.390 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 1.390 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 1.390 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 1.390 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.390 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.390 * [taylor]: Taking taylor expansion of im in im 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 1 into 1 1.390 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.390 * [taylor]: Taking taylor expansion of re in im 1.391 * [backup-simplify]: Simplify re into re 1.391 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.391 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.391 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.391 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.392 * [backup-simplify]: Simplify (+ 0 0) into 0 1.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.392 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.392 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.392 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.392 * [taylor]: Taking taylor expansion of im in re 1.392 * [backup-simplify]: Simplify im into im 1.392 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.392 * [taylor]: Taking taylor expansion of re in re 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify 1 into 1 1.392 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.392 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.392 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.392 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.393 * [backup-simplify]: Simplify (+ 0 0) into 0 1.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.393 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.393 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.393 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.393 * [taylor]: Taking taylor expansion of im in re 1.393 * [backup-simplify]: Simplify im into im 1.393 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.393 * [taylor]: Taking taylor expansion of re in re 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 1 into 1 1.393 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.393 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.393 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.394 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.394 * [backup-simplify]: Simplify (+ 0 0) into 0 1.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.394 * [taylor]: Taking taylor expansion of im in im 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify 1 into 1 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [taylor]: Taking taylor expansion of 0 in im 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify 1 into 1 1.395 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.395 * [backup-simplify]: Simplify (* 1 1) into 1 1.396 * [backup-simplify]: Simplify (+ 0 1) into 1 1.397 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.397 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.397 * [taylor]: Taking taylor expansion of 1/2 in im 1.397 * [backup-simplify]: Simplify 1/2 into 1/2 1.397 * [taylor]: Taking taylor expansion of im in im 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 1 into 1 1.397 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.400 * [backup-simplify]: Simplify (+ 0 0) into 0 1.400 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.401 * [taylor]: Taking taylor expansion of 0 in im 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.402 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.402 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.402 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.402 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.402 * [taylor]: Taking taylor expansion of re in im 1.402 * [backup-simplify]: Simplify re into re 1.402 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.403 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.403 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.403 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.403 * [taylor]: Taking taylor expansion of im in im 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.403 * [backup-simplify]: Simplify (* 1 1) into 1 1.404 * [backup-simplify]: Simplify (/ 1 1) into 1 1.404 * [backup-simplify]: Simplify (+ 0 1) into 1 1.404 * [backup-simplify]: Simplify (sqrt 1) into 1 1.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.406 * [backup-simplify]: Simplify (+ 0 0) into 0 1.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.407 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 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 1.408 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.408 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.409 * [backup-simplify]: Simplify (+ 1 0) into 1 1.409 * [backup-simplify]: Simplify (sqrt 1) into 1 1.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.411 * [backup-simplify]: Simplify (+ 0 0) into 0 1.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.412 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.412 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.412 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.412 * [taylor]: Taking taylor expansion of re in re 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify 1 into 1 1.413 * [backup-simplify]: Simplify (* 1 1) into 1 1.413 * [backup-simplify]: Simplify (/ 1 1) into 1 1.413 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.413 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.413 * [taylor]: Taking taylor expansion of im in re 1.413 * [backup-simplify]: Simplify im into im 1.413 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.413 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.414 * [backup-simplify]: Simplify (+ 1 0) into 1 1.414 * [backup-simplify]: Simplify (sqrt 1) into 1 1.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.416 * [backup-simplify]: Simplify (+ 0 0) into 0 1.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.417 * [taylor]: Taking taylor expansion of 1 in im 1.417 * [backup-simplify]: Simplify 1 into 1 1.417 * [taylor]: Taking taylor expansion of 0 in im 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 1 into 1 1.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.419 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.421 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.421 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.421 * [taylor]: Taking taylor expansion of 1/2 in im 1.421 * [backup-simplify]: Simplify 1/2 into 1/2 1.421 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.421 * [taylor]: Taking taylor expansion of im in im 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 1 into 1 1.421 * [backup-simplify]: Simplify (* 1 1) into 1 1.422 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.425 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.426 * [backup-simplify]: Simplify (+ 0 0) into 0 1.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.426 * [taylor]: Taking taylor expansion of 0 in im 1.426 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.427 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.427 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.428 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.428 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.428 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.428 * [taylor]: Taking taylor expansion of re in im 1.428 * [backup-simplify]: Simplify re into re 1.428 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.428 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.428 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.428 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.428 * [taylor]: Taking taylor expansion of im in im 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 1 into 1 1.428 * [backup-simplify]: Simplify (* 1 1) into 1 1.428 * [backup-simplify]: Simplify (/ 1 1) into 1 1.429 * [backup-simplify]: Simplify (+ 0 1) into 1 1.429 * [backup-simplify]: Simplify (sqrt 1) into 1 1.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.430 * [backup-simplify]: Simplify (+ 0 0) into 0 1.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.430 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.430 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.430 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.430 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.430 * [taylor]: Taking taylor expansion of re in re 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 1 into 1 1.431 * [backup-simplify]: Simplify (* 1 1) into 1 1.431 * [backup-simplify]: Simplify (/ 1 1) into 1 1.431 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.431 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.431 * [taylor]: Taking taylor expansion of im in re 1.431 * [backup-simplify]: Simplify im into im 1.431 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.431 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.431 * [backup-simplify]: Simplify (+ 1 0) into 1 1.432 * [backup-simplify]: Simplify (sqrt 1) into 1 1.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.433 * [backup-simplify]: Simplify (+ 0 0) into 0 1.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.433 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.433 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.433 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.433 * [taylor]: Taking taylor expansion of re in re 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 1 into 1 1.434 * [backup-simplify]: Simplify (* 1 1) into 1 1.434 * [backup-simplify]: Simplify (/ 1 1) into 1 1.434 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.434 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.434 * [taylor]: Taking taylor expansion of im in re 1.434 * [backup-simplify]: Simplify im into im 1.434 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.434 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.434 * [backup-simplify]: Simplify (+ 1 0) into 1 1.435 * [backup-simplify]: Simplify (sqrt 1) into 1 1.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.436 * [backup-simplify]: Simplify (+ 0 0) into 0 1.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.436 * [taylor]: Taking taylor expansion of 1 in im 1.436 * [backup-simplify]: Simplify 1 into 1 1.436 * [taylor]: Taking taylor expansion of 0 in im 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 1 into 1 1.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.437 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.438 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.438 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.438 * [taylor]: Taking taylor expansion of 1/2 in im 1.438 * [backup-simplify]: Simplify 1/2 into 1/2 1.438 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.438 * [taylor]: Taking taylor expansion of im in im 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify 1 into 1 1.439 * [backup-simplify]: Simplify (* 1 1) into 1 1.439 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.441 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.442 * [backup-simplify]: Simplify (+ 0 0) into 0 1.442 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.442 * [taylor]: Taking taylor expansion of 0 in im 1.442 * [backup-simplify]: Simplify 0 into 0 1.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.448 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.448 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 1.448 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 1.448 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 1.448 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.448 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.448 * [taylor]: Taking taylor expansion of im in im 1.448 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify 1 into 1 1.448 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.448 * [taylor]: Taking taylor expansion of re in im 1.448 * [backup-simplify]: Simplify re into re 1.448 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.448 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.448 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.448 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.449 * [backup-simplify]: Simplify (+ 0 0) into 0 1.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.449 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.449 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.449 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.449 * [taylor]: Taking taylor expansion of im in re 1.449 * [backup-simplify]: Simplify im into im 1.449 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.449 * [taylor]: Taking taylor expansion of re in re 1.449 * [backup-simplify]: Simplify 0 into 0 1.449 * [backup-simplify]: Simplify 1 into 1 1.449 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.449 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.449 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.449 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.449 * [backup-simplify]: Simplify (+ 0 0) into 0 1.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.449 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.449 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.449 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.449 * [taylor]: Taking taylor expansion of im in re 1.449 * [backup-simplify]: Simplify im into im 1.450 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.450 * [taylor]: Taking taylor expansion of re in re 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 1 into 1 1.450 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.450 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.450 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.450 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.450 * [backup-simplify]: Simplify (+ 0 0) into 0 1.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.450 * [taylor]: Taking taylor expansion of im in im 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 1 into 1 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [taylor]: Taking taylor expansion of 0 in im 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 1 into 1 1.451 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.451 * [backup-simplify]: Simplify (* 1 1) into 1 1.451 * [backup-simplify]: Simplify (+ 0 1) into 1 1.452 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.452 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.452 * [taylor]: Taking taylor expansion of 1/2 in im 1.452 * [backup-simplify]: Simplify 1/2 into 1/2 1.452 * [taylor]: Taking taylor expansion of im in im 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 1 into 1 1.452 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.454 * [backup-simplify]: Simplify (+ 0 0) into 0 1.454 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.454 * [taylor]: Taking taylor expansion of 0 in im 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.455 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.455 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.455 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.455 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.455 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.455 * [taylor]: Taking taylor expansion of re in im 1.455 * [backup-simplify]: Simplify re into re 1.455 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.456 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.456 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.456 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.456 * [taylor]: Taking taylor expansion of im in im 1.456 * [backup-simplify]: Simplify 0 into 0 1.456 * [backup-simplify]: Simplify 1 into 1 1.456 * [backup-simplify]: Simplify (* 1 1) into 1 1.456 * [backup-simplify]: Simplify (/ 1 1) into 1 1.457 * [backup-simplify]: Simplify (+ 0 1) into 1 1.457 * [backup-simplify]: Simplify (sqrt 1) into 1 1.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.458 * [backup-simplify]: Simplify (+ 0 0) into 0 1.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.459 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.459 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.459 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.459 * [taylor]: Taking taylor expansion of re in re 1.459 * [backup-simplify]: Simplify 0 into 0 1.459 * [backup-simplify]: Simplify 1 into 1 1.459 * [backup-simplify]: Simplify (* 1 1) into 1 1.460 * [backup-simplify]: Simplify (/ 1 1) into 1 1.460 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.460 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.460 * [taylor]: Taking taylor expansion of im in re 1.460 * [backup-simplify]: Simplify im into im 1.460 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.460 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.460 * [backup-simplify]: Simplify (+ 1 0) into 1 1.460 * [backup-simplify]: Simplify (sqrt 1) into 1 1.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.461 * [backup-simplify]: Simplify (+ 0 0) into 0 1.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.462 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.462 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.462 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.462 * [taylor]: Taking taylor expansion of re in re 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 1 into 1 1.462 * [backup-simplify]: Simplify (* 1 1) into 1 1.463 * [backup-simplify]: Simplify (/ 1 1) into 1 1.463 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.463 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.463 * [taylor]: Taking taylor expansion of im in re 1.463 * [backup-simplify]: Simplify im into im 1.463 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.463 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.463 * [backup-simplify]: Simplify (+ 1 0) into 1 1.463 * [backup-simplify]: Simplify (sqrt 1) into 1 1.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.464 * [backup-simplify]: Simplify (+ 0 0) into 0 1.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.465 * [taylor]: Taking taylor expansion of 1 in im 1.465 * [backup-simplify]: Simplify 1 into 1 1.465 * [taylor]: Taking taylor expansion of 0 in im 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 1 into 1 1.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.466 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.467 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.467 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.467 * [taylor]: Taking taylor expansion of 1/2 in im 1.467 * [backup-simplify]: Simplify 1/2 into 1/2 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 1.467 * [backup-simplify]: Simplify (* 1 1) into 1 1.468 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.470 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.470 * [backup-simplify]: Simplify (+ 0 0) into 0 1.471 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.473 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.473 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.473 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.473 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.473 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.473 * [taylor]: Taking taylor expansion of re in im 1.473 * [backup-simplify]: Simplify re into re 1.473 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.473 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.473 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.473 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.473 * [taylor]: Taking taylor expansion of im in im 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify 1 into 1 1.473 * [backup-simplify]: Simplify (* 1 1) into 1 1.473 * [backup-simplify]: Simplify (/ 1 1) into 1 1.474 * [backup-simplify]: Simplify (+ 0 1) into 1 1.474 * [backup-simplify]: Simplify (sqrt 1) into 1 1.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.475 * [backup-simplify]: Simplify (+ 0 0) into 0 1.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.476 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.476 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.476 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.476 * [taylor]: Taking taylor expansion of re in re 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify 1 into 1 1.476 * [backup-simplify]: Simplify (* 1 1) into 1 1.476 * [backup-simplify]: Simplify (/ 1 1) into 1 1.476 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.476 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.476 * [taylor]: Taking taylor expansion of im in re 1.476 * [backup-simplify]: Simplify im into im 1.476 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.476 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.477 * [backup-simplify]: Simplify (+ 1 0) into 1 1.477 * [backup-simplify]: Simplify (sqrt 1) into 1 1.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.478 * [backup-simplify]: Simplify (+ 0 0) into 0 1.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.478 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.479 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.479 * [taylor]: Taking taylor expansion of re in re 1.479 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify 1 into 1 1.479 * [backup-simplify]: Simplify (* 1 1) into 1 1.479 * [backup-simplify]: Simplify (/ 1 1) into 1 1.479 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.479 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.479 * [taylor]: Taking taylor expansion of im in re 1.479 * [backup-simplify]: Simplify im into im 1.479 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.479 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.480 * [backup-simplify]: Simplify (+ 1 0) into 1 1.480 * [backup-simplify]: Simplify (sqrt 1) into 1 1.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.481 * [backup-simplify]: Simplify (+ 0 0) into 0 1.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.482 * [taylor]: Taking taylor expansion of 1 in im 1.482 * [backup-simplify]: Simplify 1 into 1 1.482 * [taylor]: Taking taylor expansion of 0 in im 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify 1 into 1 1.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.483 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.484 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.484 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.484 * [taylor]: Taking taylor expansion of 1/2 in im 1.484 * [backup-simplify]: Simplify 1/2 into 1/2 1.484 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.484 * [taylor]: Taking taylor expansion of im in im 1.484 * [backup-simplify]: Simplify 0 into 0 1.484 * [backup-simplify]: Simplify 1 into 1 1.484 * [backup-simplify]: Simplify (* 1 1) into 1 1.485 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.487 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.488 * [backup-simplify]: Simplify (+ 0 0) into 0 1.488 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.488 * [taylor]: Taking taylor expansion of 0 in im 1.488 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.490 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.490 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 1.490 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 1.490 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 1.490 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.490 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.490 * [taylor]: Taking taylor expansion of im in im 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify 1 into 1 1.490 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.490 * [taylor]: Taking taylor expansion of re in im 1.490 * [backup-simplify]: Simplify re into re 1.490 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.490 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.490 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.490 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.491 * [backup-simplify]: Simplify (+ 0 0) into 0 1.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.491 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.491 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.491 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.491 * [taylor]: Taking taylor expansion of im in re 1.491 * [backup-simplify]: Simplify im into im 1.491 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.491 * [taylor]: Taking taylor expansion of re in re 1.491 * [backup-simplify]: Simplify 0 into 0 1.491 * [backup-simplify]: Simplify 1 into 1 1.491 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.491 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.491 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.491 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.491 * [backup-simplify]: Simplify (+ 0 0) into 0 1.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.491 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.491 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.491 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.491 * [taylor]: Taking taylor expansion of im in re 1.491 * [backup-simplify]: Simplify im into im 1.491 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.491 * [taylor]: Taking taylor expansion of re in re 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 1 into 1 1.492 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.492 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.492 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.492 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.492 * [backup-simplify]: Simplify (+ 0 0) into 0 1.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.492 * [taylor]: Taking taylor expansion of im in im 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 1 into 1 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [taylor]: Taking taylor expansion of 0 in im 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 1 into 1 1.493 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.493 * [backup-simplify]: Simplify (* 1 1) into 1 1.493 * [backup-simplify]: Simplify (+ 0 1) into 1 1.494 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.494 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.494 * [taylor]: Taking taylor expansion of 1/2 in im 1.494 * [backup-simplify]: Simplify 1/2 into 1/2 1.494 * [taylor]: Taking taylor expansion of im in im 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify 1 into 1 1.494 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.496 * [backup-simplify]: Simplify (+ 0 0) into 0 1.496 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.496 * [taylor]: Taking taylor expansion of 0 in im 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.497 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.497 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.497 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.497 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.497 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.497 * [taylor]: Taking taylor expansion of re in im 1.497 * [backup-simplify]: Simplify re into re 1.497 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.497 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.497 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.497 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.497 * [taylor]: Taking taylor expansion of im in im 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify 1 into 1 1.497 * [backup-simplify]: Simplify (* 1 1) into 1 1.498 * [backup-simplify]: Simplify (/ 1 1) into 1 1.498 * [backup-simplify]: Simplify (+ 0 1) into 1 1.498 * [backup-simplify]: Simplify (sqrt 1) into 1 1.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.499 * [backup-simplify]: Simplify (+ 0 0) into 0 1.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.500 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.500 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.500 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.500 * [taylor]: Taking taylor expansion of re in re 1.500 * [backup-simplify]: Simplify 0 into 0 1.500 * [backup-simplify]: Simplify 1 into 1 1.500 * [backup-simplify]: Simplify (* 1 1) into 1 1.501 * [backup-simplify]: Simplify (/ 1 1) into 1 1.501 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.501 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.501 * [taylor]: Taking taylor expansion of im in re 1.501 * [backup-simplify]: Simplify im into im 1.501 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.501 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.501 * [backup-simplify]: Simplify (+ 1 0) into 1 1.501 * [backup-simplify]: Simplify (sqrt 1) into 1 1.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.503 * [backup-simplify]: Simplify (+ 0 0) into 0 1.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.503 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.503 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.503 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.503 * [taylor]: Taking taylor expansion of re in re 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 1 into 1 1.503 * [backup-simplify]: Simplify (* 1 1) into 1 1.504 * [backup-simplify]: Simplify (/ 1 1) into 1 1.504 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.504 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.504 * [taylor]: Taking taylor expansion of im in re 1.504 * [backup-simplify]: Simplify im into im 1.504 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.504 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.504 * [backup-simplify]: Simplify (+ 1 0) into 1 1.504 * [backup-simplify]: Simplify (sqrt 1) into 1 1.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.505 * [backup-simplify]: Simplify (+ 0 0) into 0 1.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.506 * [taylor]: Taking taylor expansion of 1 in im 1.506 * [backup-simplify]: Simplify 1 into 1 1.506 * [taylor]: Taking taylor expansion of 0 in im 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 1 into 1 1.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.507 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.508 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.508 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.508 * [taylor]: Taking taylor expansion of 1/2 in im 1.508 * [backup-simplify]: Simplify 1/2 into 1/2 1.508 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.508 * [taylor]: Taking taylor expansion of im in im 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify 1 into 1 1.508 * [backup-simplify]: Simplify (* 1 1) into 1 1.509 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.511 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.511 * [backup-simplify]: Simplify (+ 0 0) into 0 1.512 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.512 * [taylor]: Taking taylor expansion of 0 in im 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.513 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.513 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.513 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 1.513 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.513 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.513 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.513 * [taylor]: Taking taylor expansion of re in im 1.513 * [backup-simplify]: Simplify re into re 1.513 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.513 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.513 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.513 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.513 * [taylor]: Taking taylor expansion of im in im 1.513 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify 1 into 1 1.514 * [backup-simplify]: Simplify (* 1 1) into 1 1.514 * [backup-simplify]: Simplify (/ 1 1) into 1 1.514 * [backup-simplify]: Simplify (+ 0 1) into 1 1.514 * [backup-simplify]: Simplify (sqrt 1) into 1 1.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.515 * [backup-simplify]: Simplify (+ 0 0) into 0 1.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.516 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.516 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.516 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.516 * [taylor]: Taking taylor expansion of re in re 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify 1 into 1 1.516 * [backup-simplify]: Simplify (* 1 1) into 1 1.516 * [backup-simplify]: Simplify (/ 1 1) into 1 1.516 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.516 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.516 * [taylor]: Taking taylor expansion of im in re 1.517 * [backup-simplify]: Simplify im into im 1.517 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.517 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.517 * [backup-simplify]: Simplify (+ 1 0) into 1 1.517 * [backup-simplify]: Simplify (sqrt 1) into 1 1.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.518 * [backup-simplify]: Simplify (+ 0 0) into 0 1.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.519 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.519 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.519 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.519 * [taylor]: Taking taylor expansion of re in re 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 1 into 1 1.519 * [backup-simplify]: Simplify (* 1 1) into 1 1.519 * [backup-simplify]: Simplify (/ 1 1) into 1 1.519 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.519 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.519 * [taylor]: Taking taylor expansion of im in re 1.519 * [backup-simplify]: Simplify im into im 1.519 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.519 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.520 * [backup-simplify]: Simplify (+ 1 0) into 1 1.520 * [backup-simplify]: Simplify (sqrt 1) into 1 1.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.521 * [backup-simplify]: Simplify (+ 0 0) into 0 1.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.521 * [taylor]: Taking taylor expansion of 1 in im 1.522 * [backup-simplify]: Simplify 1 into 1 1.522 * [taylor]: Taking taylor expansion of 0 in im 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify 1 into 1 1.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.523 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.524 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.524 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.524 * [taylor]: Taking taylor expansion of 1/2 in im 1.524 * [backup-simplify]: Simplify 1/2 into 1/2 1.524 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.524 * [taylor]: Taking taylor expansion of im in im 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 1 into 1 1.524 * [backup-simplify]: Simplify (* 1 1) into 1 1.524 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.526 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.527 * [backup-simplify]: Simplify (+ 0 0) into 0 1.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.527 * [taylor]: Taking taylor expansion of 0 in im 1.527 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.528 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.529 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* re re) (* im im)))) into (pow (+ (pow im 2) (pow re 2)) 1/6) 1.529 * [approximate]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/6) in (re im) around 0 1.529 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/6) in im 1.529 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow im 2) (pow re 2))))) in im 1.529 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow im 2) (pow re 2)))) in im 1.529 * [taylor]: Taking taylor expansion of 1/6 in im 1.529 * [backup-simplify]: Simplify 1/6 into 1/6 1.529 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 1.529 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.529 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.529 * [taylor]: Taking taylor expansion of im in im 1.529 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify 1 into 1 1.529 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.529 * [taylor]: Taking taylor expansion of re in im 1.529 * [backup-simplify]: Simplify re into re 1.529 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.529 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.529 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 1.529 * [backup-simplify]: Simplify (* 1/6 (log (pow re 2))) into (* 1/6 (log (pow re 2))) 1.529 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow re 2)))) into (pow (pow re 2) 1/6) 1.529 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/6) in re 1.529 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow im 2) (pow re 2))))) in re 1.529 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow im 2) (pow re 2)))) in re 1.529 * [taylor]: Taking taylor expansion of 1/6 in re 1.529 * [backup-simplify]: Simplify 1/6 into 1/6 1.529 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 1.529 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.529 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.529 * [taylor]: Taking taylor expansion of im in re 1.529 * [backup-simplify]: Simplify im into im 1.529 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.529 * [taylor]: Taking taylor expansion of re in re 1.529 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify 1 into 1 1.529 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.529 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.529 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 1.529 * [backup-simplify]: Simplify (* 1/6 (log (pow im 2))) into (* 1/6 (log (pow im 2))) 1.530 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow im 2)))) into (pow (pow im 2) 1/6) 1.530 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/6) in re 1.530 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow im 2) (pow re 2))))) in re 1.530 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow im 2) (pow re 2)))) in re 1.530 * [taylor]: Taking taylor expansion of 1/6 in re 1.530 * [backup-simplify]: Simplify 1/6 into 1/6 1.530 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 1.530 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.530 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.530 * [taylor]: Taking taylor expansion of im in re 1.530 * [backup-simplify]: Simplify im into im 1.530 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.530 * [taylor]: Taking taylor expansion of re in re 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify 1 into 1 1.530 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.530 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.530 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 1.530 * [backup-simplify]: Simplify (* 1/6 (log (pow im 2))) into (* 1/6 (log (pow im 2))) 1.530 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow im 2)))) into (pow (pow im 2) 1/6) 1.530 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/6) in im 1.530 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (pow im 2)))) in im 1.530 * [taylor]: Taking taylor expansion of (* 1/6 (log (pow im 2))) in im 1.530 * [taylor]: Taking taylor expansion of 1/6 in im 1.530 * [backup-simplify]: Simplify 1/6 into 1/6 1.530 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 1.530 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.530 * [taylor]: Taking taylor expansion of im in im 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify 1 into 1 1.530 * [backup-simplify]: Simplify (* 1 1) into 1 1.531 * [backup-simplify]: Simplify (log 1) into 0 1.531 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.531 * [backup-simplify]: Simplify (* 1/6 (* 2 (log im))) into (* 1/3 (log im)) 1.531 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 1.531 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3) 1.531 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.531 * [backup-simplify]: Simplify (+ 0 0) into 0 1.532 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 1.533 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (pow im 2)))) into 0 1.534 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.534 * [taylor]: Taking taylor expansion of 0 in im 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.536 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.536 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.537 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (* 2 (log im)))) into 0 1.538 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.539 * [backup-simplify]: Simplify (* 1 1) into 1 1.539 * [backup-simplify]: Simplify (+ 0 1) into 1 1.540 * [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)) 1.541 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/6 (/ 1 (pow im 2))) 1.541 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 1.541 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 1.541 * [taylor]: Taking taylor expansion of 1/6 in im 1.541 * [backup-simplify]: Simplify 1/6 into 1/6 1.541 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.541 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.541 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.541 * [taylor]: Taking taylor expansion of 1/3 in im 1.541 * [backup-simplify]: Simplify 1/3 into 1/3 1.541 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.541 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.541 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.541 * [taylor]: Taking taylor expansion of im in im 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 1 into 1 1.542 * [backup-simplify]: Simplify (* 1 1) into 1 1.542 * [backup-simplify]: Simplify (* 1 1) into 1 1.542 * [backup-simplify]: Simplify (* 1 1) into 1 1.543 * [backup-simplify]: Simplify (/ 1 1) into 1 1.543 * [backup-simplify]: Simplify (log 1) into 0 1.543 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 1.543 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im)) 1.543 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3) 1.543 * [backup-simplify]: Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 1.543 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 1.544 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.549 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.550 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.550 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 1.551 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.551 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.552 * [backup-simplify]: Simplify (+ 0 0) into 0 1.554 * [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 1.555 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 1.556 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.556 * [taylor]: Taking taylor expansion of 0 in im 1.556 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.558 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.559 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 1.559 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0 1.560 * [backup-simplify]: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.560 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0 1.560 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify 0 into 0 1.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.564 * [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 1.564 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 1.565 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 1.566 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) (pow (* 1 re) 2)) (pow im 1/3)) into (+ (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3)) 1.566 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) 1.566 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in (re im) around 0 1.566 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in im 1.566 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 1.567 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 1.567 * [taylor]: Taking taylor expansion of 1/6 in im 1.567 * [backup-simplify]: Simplify 1/6 into 1/6 1.567 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.567 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.567 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.567 * [taylor]: Taking taylor expansion of re in im 1.567 * [backup-simplify]: Simplify re into re 1.567 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.567 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.567 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.567 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.567 * [taylor]: Taking taylor expansion of im in im 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify 1 into 1 1.567 * [backup-simplify]: Simplify (* 1 1) into 1 1.567 * [backup-simplify]: Simplify (/ 1 1) into 1 1.568 * [backup-simplify]: Simplify (+ 0 1) into 1 1.568 * [backup-simplify]: Simplify (log 1) into 0 1.568 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 1.568 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log im)))) into (* -1/3 (log im)) 1.568 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 1.568 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in re 1.568 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.568 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.568 * [taylor]: Taking taylor expansion of 1/6 in re 1.568 * [backup-simplify]: Simplify 1/6 into 1/6 1.568 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.568 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.568 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.568 * [taylor]: Taking taylor expansion of re in re 1.568 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify 1 into 1 1.569 * [backup-simplify]: Simplify (* 1 1) into 1 1.569 * [backup-simplify]: Simplify (/ 1 1) into 1 1.569 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.569 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.569 * [taylor]: Taking taylor expansion of im in re 1.569 * [backup-simplify]: Simplify im into im 1.569 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.569 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.569 * [backup-simplify]: Simplify (+ 1 0) into 1 1.570 * [backup-simplify]: Simplify (log 1) into 0 1.570 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.570 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 1.570 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 1.570 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in re 1.570 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.570 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.570 * [taylor]: Taking taylor expansion of 1/6 in re 1.570 * [backup-simplify]: Simplify 1/6 into 1/6 1.570 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.570 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.570 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.570 * [taylor]: Taking taylor expansion of re in re 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify 1 into 1 1.570 * [backup-simplify]: Simplify (* 1 1) into 1 1.571 * [backup-simplify]: Simplify (/ 1 1) into 1 1.571 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.571 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.571 * [taylor]: Taking taylor expansion of im in re 1.571 * [backup-simplify]: Simplify im into im 1.571 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.571 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.571 * [backup-simplify]: Simplify (+ 1 0) into 1 1.571 * [backup-simplify]: Simplify (log 1) into 0 1.572 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.572 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 1.572 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 1.572 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.572 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.572 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.572 * [taylor]: Taking taylor expansion of -1/3 in im 1.572 * [backup-simplify]: Simplify -1/3 into -1/3 1.572 * [taylor]: Taking taylor expansion of (log re) in im 1.572 * [taylor]: Taking taylor expansion of re in im 1.572 * [backup-simplify]: Simplify re into re 1.572 * [backup-simplify]: Simplify (log re) into (log re) 1.572 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 1.572 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 1.572 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 1.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.573 * [backup-simplify]: Simplify (+ 0 0) into 0 1.574 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.574 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.575 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log re))))) into 0 1.575 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.575 * [taylor]: Taking taylor expansion of 0 in im 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.576 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 1.577 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.578 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.579 * [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)) 1.579 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.580 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/6 (/ 1 (pow im 2))) 1.580 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 1.580 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.580 * [taylor]: Taking taylor expansion of 1/6 in im 1.580 * [backup-simplify]: Simplify 1/6 into 1/6 1.580 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.580 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.580 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.580 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.580 * [taylor]: Taking taylor expansion of 1/3 in im 1.580 * [backup-simplify]: Simplify 1/3 into 1/3 1.580 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.580 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.580 * [taylor]: Taking taylor expansion of re in im 1.580 * [backup-simplify]: Simplify re into re 1.580 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.580 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 1.580 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 1.581 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 1.581 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.581 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.581 * [taylor]: Taking taylor expansion of im in im 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [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 1.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.584 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 1.584 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 1.584 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.585 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 1.586 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 1.587 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.587 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.588 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 1.588 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 1.588 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.590 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.591 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.592 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.593 * [backup-simplify]: Simplify (+ 0 0) into 0 1.595 * [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 1.595 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.595 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 1.597 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.597 * [taylor]: Taking taylor expansion of 0 in im 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3) 1.597 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) 1.597 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in (re im) around 0 1.597 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in im 1.597 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 1.597 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 1.597 * [taylor]: Taking taylor expansion of 1/6 in im 1.597 * [backup-simplify]: Simplify 1/6 into 1/6 1.597 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.597 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.597 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.597 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.597 * [taylor]: Taking taylor expansion of re in im 1.597 * [backup-simplify]: Simplify re into re 1.598 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.598 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.598 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.598 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.598 * [taylor]: Taking taylor expansion of im in im 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 1 into 1 1.598 * [backup-simplify]: Simplify (* 1 1) into 1 1.598 * [backup-simplify]: Simplify (/ 1 1) into 1 1.598 * [backup-simplify]: Simplify (+ 0 1) into 1 1.599 * [backup-simplify]: Simplify (log 1) into 0 1.599 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 1.599 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log im)))) into (* -1/3 (log im)) 1.599 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 1.599 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in re 1.599 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.599 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.599 * [taylor]: Taking taylor expansion of 1/6 in re 1.599 * [backup-simplify]: Simplify 1/6 into 1/6 1.599 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.599 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.599 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.599 * [taylor]: Taking taylor expansion of re in re 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify 1 into 1 1.599 * [backup-simplify]: Simplify (* 1 1) into 1 1.600 * [backup-simplify]: Simplify (/ 1 1) into 1 1.600 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.600 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.600 * [taylor]: Taking taylor expansion of im in re 1.600 * [backup-simplify]: Simplify im into im 1.600 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.600 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.600 * [backup-simplify]: Simplify (+ 1 0) into 1 1.600 * [backup-simplify]: Simplify (log 1) into 0 1.601 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.601 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 1.601 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 1.601 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in re 1.601 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 1.601 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 1.601 * [taylor]: Taking taylor expansion of 1/6 in re 1.601 * [backup-simplify]: Simplify 1/6 into 1/6 1.601 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.601 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.601 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.601 * [taylor]: Taking taylor expansion of re in re 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify 1 into 1 1.601 * [backup-simplify]: Simplify (* 1 1) into 1 1.602 * [backup-simplify]: Simplify (/ 1 1) into 1 1.602 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.602 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.602 * [taylor]: Taking taylor expansion of im in re 1.602 * [backup-simplify]: Simplify im into im 1.602 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.602 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.602 * [backup-simplify]: Simplify (+ 1 0) into 1 1.602 * [backup-simplify]: Simplify (log 1) into 0 1.602 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.603 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 1.603 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 1.603 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.603 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.603 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.603 * [taylor]: Taking taylor expansion of -1/3 in im 1.603 * [backup-simplify]: Simplify -1/3 into -1/3 1.603 * [taylor]: Taking taylor expansion of (log re) in im 1.603 * [taylor]: Taking taylor expansion of re in im 1.603 * [backup-simplify]: Simplify re into re 1.603 * [backup-simplify]: Simplify (log re) into (log re) 1.603 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 1.603 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 1.603 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 1.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.604 * [backup-simplify]: Simplify (+ 0 0) into 0 1.605 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.605 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.605 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log re))))) into 0 1.606 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.606 * [taylor]: Taking taylor expansion of 0 in im 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.607 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 1.607 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.607 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.609 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.611 * [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)) 1.612 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.612 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/6 (/ 1 (pow im 2))) 1.613 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 1.613 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.613 * [taylor]: Taking taylor expansion of 1/6 in im 1.613 * [backup-simplify]: Simplify 1/6 into 1/6 1.613 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.613 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.613 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.614 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.614 * [taylor]: Taking taylor expansion of 1/3 in im 1.614 * [backup-simplify]: Simplify 1/3 into 1/3 1.614 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.614 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.614 * [taylor]: Taking taylor expansion of re in im 1.614 * [backup-simplify]: Simplify re into re 1.614 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.614 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 1.614 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 1.614 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 1.614 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.614 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.614 * [taylor]: Taking taylor expansion of im in im 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.615 * [backup-simplify]: Simplify (* 1 1) into 1 1.615 * [backup-simplify]: Simplify (/ 1 1) into 1 1.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.619 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 1.620 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 1.621 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.623 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 1.624 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 1.625 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.626 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.626 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 1.627 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 1.627 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 1.627 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.630 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.632 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.632 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.634 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.634 * [backup-simplify]: Simplify (+ 0 0) into 0 1.639 * [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 1.639 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.641 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 1.643 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.643 * [taylor]: Taking taylor expansion of 0 in im 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3) 1.644 * * * [progress]: simplifying candidates 1.644 * * * * [progress]: [ 1 / 77 ] simplifiying candidate # 1.644 * * * * [progress]: [ 2 / 77 ] simplifiying candidate # 1.644 * * * * [progress]: [ 3 / 77 ] simplifiying candidate # 1.644 * * * * [progress]: [ 4 / 77 ] simplifiying candidate # 1.644 * * * * [progress]: [ 5 / 77 ] simplifiying candidate # 1.644 * * * * [progress]: [ 6 / 77 ] simplifiying candidate # 1.644 * * * * [progress]: [ 7 / 77 ] simplifiying candidate # 1.644 * * * * [progress]: [ 8 / 77 ] simplifiying candidate # 1.644 * * * * [progress]: [ 9 / 77 ] simplifiying candidate # 1.644 * * * * [progress]: [ 10 / 77 ] simplifiying candidate # 1.645 * * * * [progress]: [ 11 / 77 ] simplifiying candidate # 1.645 * * * * [progress]: [ 12 / 77 ] simplifiying candidate # 1.645 * * * * [progress]: [ 13 / 77 ] simplifiying candidate # 1.645 * * * * [progress]: [ 14 / 77 ] simplifiying candidate # 1.645 * * * * [progress]: [ 15 / 77 ] simplifiying candidate # 1.645 * * * * [progress]: [ 16 / 77 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))))> 1.645 * * * * [progress]: [ 17 / 77 ] simplifiying candidate # 1.645 * * * * [progress]: [ 18 / 77 ] simplifiying candidate # 1.645 * * * * [progress]: [ 19 / 77 ] simplifiying candidate # 1.645 * * * * [progress]: [ 20 / 77 ] simplifiying candidate # 1.645 * * * * [progress]: [ 21 / 77 ] simplifiying candidate # 1.645 * * * * [progress]: [ 22 / 77 ] simplifiying candidate # 1.645 * * * * [progress]: [ 23 / 77 ] simplifiying candidate # 1.645 * * * * [progress]: [ 24 / 77 ] simplifiying candidate # 1.646 * * * * [progress]: [ 25 / 77 ] simplifiying candidate # 1.646 * * * * [progress]: [ 26 / 77 ] simplifiying candidate # 1.646 * * * * [progress]: [ 27 / 77 ] simplifiying candidate # 1.646 * * * * [progress]: [ 28 / 77 ] simplifiying candidate # 1.646 * * * * [progress]: [ 29 / 77 ] simplifiying candidate # 1.646 * * * * [progress]: [ 30 / 77 ] simplifiying candidate # 1.646 * * * * [progress]: [ 31 / 77 ] simplifiying candidate # 1.646 * * * * [progress]: [ 32 / 77 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))))> 1.646 * * * * [progress]: [ 33 / 77 ] simplifiying candidate # 1.646 * * * * [progress]: [ 34 / 77 ] simplifiying candidate # 1.646 * * * * [progress]: [ 35 / 77 ] simplifiying candidate # 1.646 * * * * [progress]: [ 36 / 77 ] simplifiying candidate # 1.646 * * * * [progress]: [ 37 / 77 ] simplifiying candidate # 1.646 * * * * [progress]: [ 38 / 77 ] simplifiying candidate # 1.647 * * * * [progress]: [ 39 / 77 ] simplifiying candidate # 1.647 * * * * [progress]: [ 40 / 77 ] simplifiying candidate # 1.647 * * * * [progress]: [ 41 / 77 ] simplifiying candidate # 1.647 * * * * [progress]: [ 42 / 77 ] simplifiying candidate # 1.647 * * * * [progress]: [ 43 / 77 ] simplifiying candidate # 1.647 * * * * [progress]: [ 44 / 77 ] simplifiying candidate # 1.647 * * * * [progress]: [ 45 / 77 ] simplifiying candidate # 1.647 * * * * [progress]: [ 46 / 77 ] simplifiying candidate # 1.647 * * * * [progress]: [ 47 / 77 ] simplifiying candidate # 1.647 * * * * [progress]: [ 48 / 77 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))> 1.647 * * * * [progress]: [ 49 / 77 ] simplifiying candidate # 1.647 * * * * [progress]: [ 50 / 77 ] simplifiying candidate # 1.647 * * * * [progress]: [ 51 / 77 ] simplifiying candidate # 1.647 * * * * [progress]: [ 52 / 77 ] simplifiying candidate # 1.647 * * * * [progress]: [ 53 / 77 ] simplifiying candidate # 1.648 * * * * [progress]: [ 54 / 77 ] simplifiying candidate # 1.648 * * * * [progress]: [ 55 / 77 ] simplifiying candidate # 1.648 * * * * [progress]: [ 56 / 77 ] simplifiying candidate # 1.648 * * * * [progress]: [ 57 / 77 ] simplifiying candidate # 1.648 * * * * [progress]: [ 58 / 77 ] simplifiying candidate # 1.648 * * * * [progress]: [ 59 / 77 ] simplifiying candidate # 1.648 * * * * [progress]: [ 60 / 77 ] simplifiying candidate # 1.648 * * * * [progress]: [ 61 / 77 ] simplifiying candidate # 1.648 * * * * [progress]: [ 62 / 77 ] simplifiying candidate # 1.648 * * * * [progress]: [ 63 / 77 ] simplifiying candidate # 1.648 * * * * [progress]: [ 64 / 77 ] simplifiying candidate # 1.648 * * * * [progress]: [ 65 / 77 ] simplifiying candidate #real (real->posit16 (cbrt (sqrt (+ (* re re) (* im im))))))))> 1.648 * * * * [progress]: [ 66 / 77 ] simplifiying candidate # 1.648 * * * * [progress]: [ 67 / 77 ] simplifiying candidate # 1.649 * * * * [progress]: [ 68 / 77 ] simplifiying candidate # 1.649 * * * * [progress]: [ 69 / 77 ] simplifiying candidate # 1.649 * * * * [progress]: [ 70 / 77 ] simplifiying candidate # 1.649 * * * * [progress]: [ 71 / 77 ] simplifiying candidate # 1.649 * * * * [progress]: [ 72 / 77 ] simplifiying candidate # 1.649 * * * * [progress]: [ 73 / 77 ] simplifiying candidate # 1.649 * * * * [progress]: [ 74 / 77 ] simplifiying candidate # 1.649 * * * * [progress]: [ 75 / 77 ] simplifiying candidate # 1.649 * * * * [progress]: [ 76 / 77 ] simplifiying candidate # 1.649 * * * * [progress]: [ 77 / 77 ] simplifiying candidate # 1.650 * [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)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (cbrt (sqrt (+ (* re re) (* im im))))) (exp (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (cbrt (sqrt (cbrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt 1)) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt 1) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (cbrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (sqrt (- (* re re) (* im im)))) (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (real->posit16 (cbrt (sqrt (+ (* re re) (* im im))))) im re (* -1 re) im re (* -1 re) im re (* -1 re) (+ (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 1.652 * * [simplify]: iteration 1: (72 enodes) 1.688 * * [simplify]: iteration 2: (149 enodes) 1.756 * * [simplify]: iteration 3: (350 enodes) 1.947 * * [simplify]: iteration 4: (997 enodes) 2.739 * * [simplify]: Extracting #0: cost 36 inf + 0 2.739 * * [simplify]: Extracting #1: cost 69 inf + 45 2.740 * * [simplify]: Extracting #2: cost 229 inf + 171 2.744 * * [simplify]: Extracting #3: cost 450 inf + 9264 2.756 * * [simplify]: Extracting #4: cost 252 inf + 60271 2.773 * * [simplify]: Extracting #5: cost 101 inf + 107250 2.805 * * [simplify]: Extracting #6: cost 21 inf + 148134 2.837 * * [simplify]: Extracting #7: cost 1 inf + 156596 2.871 * * [simplify]: Extracting #8: cost 0 inf + 157270 2.922 * [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)))) (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im (* im im)) (* im (* im im))))) (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im (* im im)) (* im (* im im))))) (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im (* im im)) (* im (* im im))))) (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (cbrt (sqrt (+ (* re re) (* im im))))) (exp (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (fabs (cbrt (+ (* re re) (* im im))))) (cbrt (sqrt (cbrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 1 (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 1 (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im (* im im)) (* im (* im im)))))) (cbrt (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))) (cbrt (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))) (cbrt (sqrt (- (* re re) (* im im)))) (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (+ (* re re) (* im im))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (real->posit16 (cbrt (sqrt (+ (* re re) (* im im))))) im re (- re) im re (- re) im re (- re) (+ (cbrt im) (* (* 1/6 (* re re)) (cbrt (/ 1 (* (* im im) (* im (* im im))))))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 2.934 * * * [progress]: adding candidates to table 3.802 * * [progress]: iteration 3 / 4 3.802 * * * [progress]: picking best candidate 3.812 * * * * [pick]: Picked # 3.812 * * * [progress]: localizing error 3.838 * * * [progress]: generating rewritten candidates 3.838 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 3.845 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 3.851 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 3.857 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.871 * * * [progress]: generating series expansions 3.872 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 3.872 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 3.872 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.872 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.872 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.872 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.872 * [taylor]: Taking taylor expansion of im in im 3.872 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify 1 into 1 3.872 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.872 * [taylor]: Taking taylor expansion of re in im 3.872 * [backup-simplify]: Simplify re into re 3.872 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.872 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.872 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.873 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.873 * [backup-simplify]: Simplify (+ 0 0) into 0 3.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.873 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.880 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.880 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.880 * [taylor]: Taking taylor expansion of im in re 3.881 * [backup-simplify]: Simplify im into im 3.881 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.881 * [taylor]: Taking taylor expansion of re in re 3.881 * [backup-simplify]: Simplify 0 into 0 3.881 * [backup-simplify]: Simplify 1 into 1 3.881 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.881 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.881 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.882 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.882 * [backup-simplify]: Simplify (+ 0 0) into 0 3.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.883 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.883 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.883 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.883 * [taylor]: Taking taylor expansion of im in re 3.883 * [backup-simplify]: Simplify im into im 3.883 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.883 * [taylor]: Taking taylor expansion of re in re 3.883 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify 1 into 1 3.883 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.883 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.883 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.883 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.884 * [backup-simplify]: Simplify (+ 0 0) into 0 3.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.884 * [taylor]: Taking taylor expansion of im in im 3.884 * [backup-simplify]: Simplify 0 into 0 3.884 * [backup-simplify]: Simplify 1 into 1 3.884 * [backup-simplify]: Simplify 0 into 0 3.884 * [taylor]: Taking taylor expansion of 0 in im 3.884 * [backup-simplify]: Simplify 0 into 0 3.884 * [backup-simplify]: Simplify 0 into 0 3.884 * [backup-simplify]: Simplify 1 into 1 3.885 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.885 * [backup-simplify]: Simplify (* 1 1) into 1 3.886 * [backup-simplify]: Simplify (+ 0 1) into 1 3.887 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.887 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.887 * [taylor]: Taking taylor expansion of 1/2 in im 3.887 * [backup-simplify]: Simplify 1/2 into 1/2 3.887 * [taylor]: Taking taylor expansion of im in im 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 1 into 1 3.888 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.889 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.891 * [backup-simplify]: Simplify (+ 0 0) into 0 3.891 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.891 * [taylor]: Taking taylor expansion of 0 in im 3.892 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.893 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.893 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.893 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.893 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.893 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.893 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.893 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.893 * [taylor]: Taking taylor expansion of re in im 3.893 * [backup-simplify]: Simplify re into re 3.893 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.894 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.894 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.894 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.894 * [taylor]: Taking taylor expansion of im in im 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify 1 into 1 3.894 * [backup-simplify]: Simplify (* 1 1) into 1 3.895 * [backup-simplify]: Simplify (/ 1 1) into 1 3.895 * [backup-simplify]: Simplify (+ 0 1) into 1 3.895 * [backup-simplify]: Simplify (sqrt 1) into 1 3.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.897 * [backup-simplify]: Simplify (+ 0 0) into 0 3.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.898 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.898 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.898 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.898 * [taylor]: Taking taylor expansion of re in re 3.898 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify 1 into 1 3.899 * [backup-simplify]: Simplify (* 1 1) into 1 3.899 * [backup-simplify]: Simplify (/ 1 1) into 1 3.899 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.899 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.899 * [taylor]: Taking taylor expansion of im in re 3.899 * [backup-simplify]: Simplify im into im 3.899 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.899 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.900 * [backup-simplify]: Simplify (+ 1 0) into 1 3.900 * [backup-simplify]: Simplify (sqrt 1) into 1 3.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.903 * [backup-simplify]: Simplify (+ 0 0) into 0 3.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.904 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.904 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.904 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.904 * [taylor]: Taking taylor expansion of re in re 3.904 * [backup-simplify]: Simplify 0 into 0 3.904 * [backup-simplify]: Simplify 1 into 1 3.904 * [backup-simplify]: Simplify (* 1 1) into 1 3.904 * [backup-simplify]: Simplify (/ 1 1) into 1 3.904 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.904 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.904 * [taylor]: Taking taylor expansion of im in re 3.904 * [backup-simplify]: Simplify im into im 3.904 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.904 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.905 * [backup-simplify]: Simplify (+ 1 0) into 1 3.905 * [backup-simplify]: Simplify (sqrt 1) into 1 3.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.906 * [backup-simplify]: Simplify (+ 0 0) into 0 3.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.907 * [taylor]: Taking taylor expansion of 1 in im 3.907 * [backup-simplify]: Simplify 1 into 1 3.907 * [taylor]: Taking taylor expansion of 0 in im 3.907 * [backup-simplify]: Simplify 0 into 0 3.907 * [backup-simplify]: Simplify 1 into 1 3.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.908 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.909 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.909 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.909 * [taylor]: Taking taylor expansion of 1/2 in im 3.909 * [backup-simplify]: Simplify 1/2 into 1/2 3.909 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.909 * [taylor]: Taking taylor expansion of im in im 3.909 * [backup-simplify]: Simplify 0 into 0 3.909 * [backup-simplify]: Simplify 1 into 1 3.909 * [backup-simplify]: Simplify (* 1 1) into 1 3.909 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.910 * [backup-simplify]: Simplify 0 into 0 3.910 * [backup-simplify]: Simplify 0 into 0 3.910 * [backup-simplify]: Simplify 0 into 0 3.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.912 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.912 * [backup-simplify]: Simplify (+ 0 0) into 0 3.912 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.912 * [taylor]: Taking taylor expansion of 0 in im 3.912 * [backup-simplify]: Simplify 0 into 0 3.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.913 * [backup-simplify]: Simplify 0 into 0 3.913 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.914 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.914 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.914 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.914 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.914 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.914 * [taylor]: Taking taylor expansion of re in im 3.914 * [backup-simplify]: Simplify re into re 3.914 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.914 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.914 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.914 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.914 * [taylor]: Taking taylor expansion of im in im 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify 1 into 1 3.914 * [backup-simplify]: Simplify (* 1 1) into 1 3.915 * [backup-simplify]: Simplify (/ 1 1) into 1 3.915 * [backup-simplify]: Simplify (+ 0 1) into 1 3.915 * [backup-simplify]: Simplify (sqrt 1) into 1 3.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.916 * [backup-simplify]: Simplify (+ 0 0) into 0 3.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.917 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.917 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.917 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.917 * [taylor]: Taking taylor expansion of re in re 3.917 * [backup-simplify]: Simplify 0 into 0 3.917 * [backup-simplify]: Simplify 1 into 1 3.917 * [backup-simplify]: Simplify (* 1 1) into 1 3.917 * [backup-simplify]: Simplify (/ 1 1) into 1 3.917 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.917 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.917 * [taylor]: Taking taylor expansion of im in re 3.917 * [backup-simplify]: Simplify im into im 3.917 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.917 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.918 * [backup-simplify]: Simplify (+ 1 0) into 1 3.918 * [backup-simplify]: Simplify (sqrt 1) into 1 3.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.919 * [backup-simplify]: Simplify (+ 0 0) into 0 3.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.919 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.919 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.919 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.919 * [taylor]: Taking taylor expansion of re in re 3.919 * [backup-simplify]: Simplify 0 into 0 3.919 * [backup-simplify]: Simplify 1 into 1 3.920 * [backup-simplify]: Simplify (* 1 1) into 1 3.920 * [backup-simplify]: Simplify (/ 1 1) into 1 3.920 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.920 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.920 * [taylor]: Taking taylor expansion of im in re 3.920 * [backup-simplify]: Simplify im into im 3.920 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.920 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.920 * [backup-simplify]: Simplify (+ 1 0) into 1 3.921 * [backup-simplify]: Simplify (sqrt 1) into 1 3.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.922 * [backup-simplify]: Simplify (+ 0 0) into 0 3.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.922 * [taylor]: Taking taylor expansion of 1 in im 3.922 * [backup-simplify]: Simplify 1 into 1 3.922 * [taylor]: Taking taylor expansion of 0 in im 3.922 * [backup-simplify]: Simplify 0 into 0 3.922 * [backup-simplify]: Simplify 1 into 1 3.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.923 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.924 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.924 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.924 * [taylor]: Taking taylor expansion of 1/2 in im 3.924 * [backup-simplify]: Simplify 1/2 into 1/2 3.924 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.924 * [taylor]: Taking taylor expansion of im in im 3.924 * [backup-simplify]: Simplify 0 into 0 3.924 * [backup-simplify]: Simplify 1 into 1 3.925 * [backup-simplify]: Simplify (* 1 1) into 1 3.925 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.927 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.927 * [backup-simplify]: Simplify (+ 0 0) into 0 3.928 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.928 * [taylor]: Taking taylor expansion of 0 in im 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.929 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 3.929 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 3.929 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.929 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.929 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.929 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.929 * [taylor]: Taking taylor expansion of im in im 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify 1 into 1 3.929 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.929 * [taylor]: Taking taylor expansion of re in im 3.929 * [backup-simplify]: Simplify re into re 3.929 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.929 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.930 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.930 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.930 * [backup-simplify]: Simplify (+ 0 0) into 0 3.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.930 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.930 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.930 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.930 * [taylor]: Taking taylor expansion of im in re 3.930 * [backup-simplify]: Simplify im into im 3.930 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.930 * [taylor]: Taking taylor expansion of re in re 3.930 * [backup-simplify]: Simplify 0 into 0 3.930 * [backup-simplify]: Simplify 1 into 1 3.930 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.930 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.930 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.930 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.930 * [backup-simplify]: Simplify (+ 0 0) into 0 3.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.931 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.931 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.931 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.931 * [taylor]: Taking taylor expansion of im in re 3.931 * [backup-simplify]: Simplify im into im 3.931 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.931 * [taylor]: Taking taylor expansion of re in re 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify 1 into 1 3.931 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.931 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.931 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.931 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.931 * [backup-simplify]: Simplify (+ 0 0) into 0 3.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.931 * [taylor]: Taking taylor expansion of im in im 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify 1 into 1 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [taylor]: Taking taylor expansion of 0 in im 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify 1 into 1 3.932 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.932 * [backup-simplify]: Simplify (* 1 1) into 1 3.932 * [backup-simplify]: Simplify (+ 0 1) into 1 3.933 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.933 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.933 * [taylor]: Taking taylor expansion of 1/2 in im 3.933 * [backup-simplify]: Simplify 1/2 into 1/2 3.933 * [taylor]: Taking taylor expansion of im in im 3.933 * [backup-simplify]: Simplify 0 into 0 3.933 * [backup-simplify]: Simplify 1 into 1 3.933 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.934 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.935 * [backup-simplify]: Simplify (+ 0 0) into 0 3.935 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.935 * [taylor]: Taking taylor expansion of 0 in im 3.935 * [backup-simplify]: Simplify 0 into 0 3.935 * [backup-simplify]: Simplify 0 into 0 3.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.936 * [backup-simplify]: Simplify 0 into 0 3.936 * [backup-simplify]: Simplify 0 into 0 3.936 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.936 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.936 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.936 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.936 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.936 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.936 * [taylor]: Taking taylor expansion of re in im 3.936 * [backup-simplify]: Simplify re into re 3.936 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.936 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.936 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.936 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.936 * [taylor]: Taking taylor expansion of im in im 3.936 * [backup-simplify]: Simplify 0 into 0 3.936 * [backup-simplify]: Simplify 1 into 1 3.937 * [backup-simplify]: Simplify (* 1 1) into 1 3.937 * [backup-simplify]: Simplify (/ 1 1) into 1 3.937 * [backup-simplify]: Simplify (+ 0 1) into 1 3.937 * [backup-simplify]: Simplify (sqrt 1) into 1 3.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.938 * [backup-simplify]: Simplify (+ 0 0) into 0 3.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.939 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.939 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.939 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.939 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.939 * [taylor]: Taking taylor expansion of re in re 3.939 * [backup-simplify]: Simplify 0 into 0 3.939 * [backup-simplify]: Simplify 1 into 1 3.939 * [backup-simplify]: Simplify (* 1 1) into 1 3.939 * [backup-simplify]: Simplify (/ 1 1) into 1 3.939 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.939 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.939 * [taylor]: Taking taylor expansion of im in re 3.939 * [backup-simplify]: Simplify im into im 3.939 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.940 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.940 * [backup-simplify]: Simplify (+ 1 0) into 1 3.940 * [backup-simplify]: Simplify (sqrt 1) into 1 3.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.942 * [backup-simplify]: Simplify (+ 0 0) into 0 3.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.943 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.943 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.943 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.943 * [taylor]: Taking taylor expansion of re in re 3.943 * [backup-simplify]: Simplify 0 into 0 3.943 * [backup-simplify]: Simplify 1 into 1 3.943 * [backup-simplify]: Simplify (* 1 1) into 1 3.944 * [backup-simplify]: Simplify (/ 1 1) into 1 3.944 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.944 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.944 * [taylor]: Taking taylor expansion of im in re 3.944 * [backup-simplify]: Simplify im into im 3.944 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.944 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.945 * [backup-simplify]: Simplify (+ 1 0) into 1 3.945 * [backup-simplify]: Simplify (sqrt 1) into 1 3.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.947 * [backup-simplify]: Simplify (+ 0 0) into 0 3.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.948 * [taylor]: Taking taylor expansion of 1 in im 3.948 * [backup-simplify]: Simplify 1 into 1 3.948 * [taylor]: Taking taylor expansion of 0 in im 3.948 * [backup-simplify]: Simplify 0 into 0 3.948 * [backup-simplify]: Simplify 1 into 1 3.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.950 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.951 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.951 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.951 * [taylor]: Taking taylor expansion of 1/2 in im 3.951 * [backup-simplify]: Simplify 1/2 into 1/2 3.951 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.951 * [taylor]: Taking taylor expansion of im in im 3.951 * [backup-simplify]: Simplify 0 into 0 3.951 * [backup-simplify]: Simplify 1 into 1 3.952 * [backup-simplify]: Simplify (* 1 1) into 1 3.952 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 0 into 0 3.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.956 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.957 * [backup-simplify]: Simplify (+ 0 0) into 0 3.957 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.957 * [taylor]: Taking taylor expansion of 0 in im 3.957 * [backup-simplify]: Simplify 0 into 0 3.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.959 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.960 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.960 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.960 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.960 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.960 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.960 * [taylor]: Taking taylor expansion of re in im 3.960 * [backup-simplify]: Simplify re into re 3.960 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.960 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.960 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.960 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.960 * [taylor]: Taking taylor expansion of im in im 3.960 * [backup-simplify]: Simplify 0 into 0 3.960 * [backup-simplify]: Simplify 1 into 1 3.961 * [backup-simplify]: Simplify (* 1 1) into 1 3.961 * [backup-simplify]: Simplify (/ 1 1) into 1 3.961 * [backup-simplify]: Simplify (+ 0 1) into 1 3.962 * [backup-simplify]: Simplify (sqrt 1) into 1 3.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.964 * [backup-simplify]: Simplify (+ 0 0) into 0 3.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.964 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.964 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.964 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.965 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.965 * [taylor]: Taking taylor expansion of re in re 3.965 * [backup-simplify]: Simplify 0 into 0 3.965 * [backup-simplify]: Simplify 1 into 1 3.965 * [backup-simplify]: Simplify (* 1 1) into 1 3.965 * [backup-simplify]: Simplify (/ 1 1) into 1 3.965 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.965 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.965 * [taylor]: Taking taylor expansion of im in re 3.965 * [backup-simplify]: Simplify im into im 3.966 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.966 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.966 * [backup-simplify]: Simplify (+ 1 0) into 1 3.966 * [backup-simplify]: Simplify (sqrt 1) into 1 3.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.968 * [backup-simplify]: Simplify (+ 0 0) into 0 3.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.969 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.969 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.969 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.969 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.969 * [taylor]: Taking taylor expansion of re in re 3.969 * [backup-simplify]: Simplify 0 into 0 3.969 * [backup-simplify]: Simplify 1 into 1 3.970 * [backup-simplify]: Simplify (* 1 1) into 1 3.970 * [backup-simplify]: Simplify (/ 1 1) into 1 3.970 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.970 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.970 * [taylor]: Taking taylor expansion of im in re 3.970 * [backup-simplify]: Simplify im into im 3.970 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.970 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.971 * [backup-simplify]: Simplify (+ 1 0) into 1 3.971 * [backup-simplify]: Simplify (sqrt 1) into 1 3.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.973 * [backup-simplify]: Simplify (+ 0 0) into 0 3.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.974 * [taylor]: Taking taylor expansion of 1 in im 3.974 * [backup-simplify]: Simplify 1 into 1 3.974 * [taylor]: Taking taylor expansion of 0 in im 3.974 * [backup-simplify]: Simplify 0 into 0 3.974 * [backup-simplify]: Simplify 1 into 1 3.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.976 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.977 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.977 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.977 * [taylor]: Taking taylor expansion of 1/2 in im 3.977 * [backup-simplify]: Simplify 1/2 into 1/2 3.977 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.977 * [taylor]: Taking taylor expansion of im in im 3.977 * [backup-simplify]: Simplify 0 into 0 3.977 * [backup-simplify]: Simplify 1 into 1 3.978 * [backup-simplify]: Simplify (* 1 1) into 1 3.978 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.980 * [backup-simplify]: Simplify 0 into 0 3.980 * [backup-simplify]: Simplify 0 into 0 3.980 * [backup-simplify]: Simplify 0 into 0 3.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.982 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.982 * [backup-simplify]: Simplify (+ 0 0) into 0 3.983 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.983 * [taylor]: Taking taylor expansion of 0 in im 3.983 * [backup-simplify]: Simplify 0 into 0 3.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.985 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.985 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 3.986 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 3.986 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.986 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.986 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.986 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.986 * [taylor]: Taking taylor expansion of im in im 3.986 * [backup-simplify]: Simplify 0 into 0 3.986 * [backup-simplify]: Simplify 1 into 1 3.986 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.986 * [taylor]: Taking taylor expansion of re in im 3.986 * [backup-simplify]: Simplify re into re 3.986 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.986 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.986 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.986 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.987 * [backup-simplify]: Simplify (+ 0 0) into 0 3.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.987 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.987 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.987 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.987 * [taylor]: Taking taylor expansion of im in re 3.987 * [backup-simplify]: Simplify im into im 3.987 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.987 * [taylor]: Taking taylor expansion of re in re 3.987 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify 1 into 1 3.987 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.987 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.987 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.987 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.988 * [backup-simplify]: Simplify (+ 0 0) into 0 3.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.988 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.988 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.988 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.988 * [taylor]: Taking taylor expansion of im in re 3.988 * [backup-simplify]: Simplify im into im 3.988 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.988 * [taylor]: Taking taylor expansion of re in re 3.988 * [backup-simplify]: Simplify 0 into 0 3.988 * [backup-simplify]: Simplify 1 into 1 3.988 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.988 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.988 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.988 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.989 * [backup-simplify]: Simplify (+ 0 0) into 0 3.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.989 * [taylor]: Taking taylor expansion of im in im 3.989 * [backup-simplify]: Simplify 0 into 0 3.989 * [backup-simplify]: Simplify 1 into 1 3.989 * [backup-simplify]: Simplify 0 into 0 3.989 * [taylor]: Taking taylor expansion of 0 in im 3.989 * [backup-simplify]: Simplify 0 into 0 3.989 * [backup-simplify]: Simplify 0 into 0 3.989 * [backup-simplify]: Simplify 1 into 1 3.990 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.990 * [backup-simplify]: Simplify (* 1 1) into 1 3.990 * [backup-simplify]: Simplify (+ 0 1) into 1 3.991 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.991 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.991 * [taylor]: Taking taylor expansion of 1/2 in im 3.991 * [backup-simplify]: Simplify 1/2 into 1/2 3.991 * [taylor]: Taking taylor expansion of im in im 3.991 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify 1 into 1 3.992 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.993 * [backup-simplify]: Simplify 0 into 0 3.993 * [backup-simplify]: Simplify 0 into 0 3.993 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.995 * [backup-simplify]: Simplify (+ 0 0) into 0 3.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.995 * [taylor]: Taking taylor expansion of 0 in im 3.995 * [backup-simplify]: Simplify 0 into 0 3.995 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.996 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.997 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.997 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.997 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.997 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.997 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.997 * [taylor]: Taking taylor expansion of re in im 3.997 * [backup-simplify]: Simplify re into re 3.997 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.997 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.997 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.997 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.997 * [taylor]: Taking taylor expansion of im in im 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 1 into 1 3.998 * [backup-simplify]: Simplify (* 1 1) into 1 3.998 * [backup-simplify]: Simplify (/ 1 1) into 1 3.998 * [backup-simplify]: Simplify (+ 0 1) into 1 3.999 * [backup-simplify]: Simplify (sqrt 1) into 1 3.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.000 * [backup-simplify]: Simplify (+ 0 0) into 0 4.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.001 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.001 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.001 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.002 * [taylor]: Taking taylor expansion of re in re 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify 1 into 1 4.002 * [backup-simplify]: Simplify (* 1 1) into 1 4.002 * [backup-simplify]: Simplify (/ 1 1) into 1 4.002 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.002 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.002 * [taylor]: Taking taylor expansion of im in re 4.002 * [backup-simplify]: Simplify im into im 4.002 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.003 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.003 * [backup-simplify]: Simplify (+ 1 0) into 1 4.003 * [backup-simplify]: Simplify (sqrt 1) into 1 4.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.005 * [backup-simplify]: Simplify (+ 0 0) into 0 4.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.009 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.009 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.009 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.009 * [taylor]: Taking taylor expansion of re in re 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify 1 into 1 4.009 * [backup-simplify]: Simplify (* 1 1) into 1 4.010 * [backup-simplify]: Simplify (/ 1 1) into 1 4.010 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.010 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.010 * [taylor]: Taking taylor expansion of im in re 4.010 * [backup-simplify]: Simplify im into im 4.010 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.010 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.010 * [backup-simplify]: Simplify (+ 1 0) into 1 4.010 * [backup-simplify]: Simplify (sqrt 1) into 1 4.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.011 * [backup-simplify]: Simplify (+ 0 0) into 0 4.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.012 * [taylor]: Taking taylor expansion of 1 in im 4.012 * [backup-simplify]: Simplify 1 into 1 4.012 * [taylor]: Taking taylor expansion of 0 in im 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify 1 into 1 4.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.013 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.014 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.014 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.014 * [taylor]: Taking taylor expansion of 1/2 in im 4.014 * [backup-simplify]: Simplify 1/2 into 1/2 4.014 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.014 * [taylor]: Taking taylor expansion of im in im 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.014 * [backup-simplify]: Simplify (* 1 1) into 1 4.014 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.017 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.017 * [backup-simplify]: Simplify (+ 0 0) into 0 4.017 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.017 * [taylor]: Taking taylor expansion of 0 in im 4.017 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.019 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 4.019 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 4.019 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 4.019 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.019 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.019 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.019 * [taylor]: Taking taylor expansion of re in im 4.019 * [backup-simplify]: Simplify re into re 4.019 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.019 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.019 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.019 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.019 * [taylor]: Taking taylor expansion of im in im 4.019 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify 1 into 1 4.019 * [backup-simplify]: Simplify (* 1 1) into 1 4.020 * [backup-simplify]: Simplify (/ 1 1) into 1 4.020 * [backup-simplify]: Simplify (+ 0 1) into 1 4.020 * [backup-simplify]: Simplify (sqrt 1) into 1 4.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.021 * [backup-simplify]: Simplify (+ 0 0) into 0 4.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.022 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.022 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.022 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.022 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.022 * [taylor]: Taking taylor expansion of re in re 4.022 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify 1 into 1 4.022 * [backup-simplify]: Simplify (* 1 1) into 1 4.022 * [backup-simplify]: Simplify (/ 1 1) into 1 4.022 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.022 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.022 * [taylor]: Taking taylor expansion of im in re 4.022 * [backup-simplify]: Simplify im into im 4.022 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.022 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.023 * [backup-simplify]: Simplify (+ 1 0) into 1 4.023 * [backup-simplify]: Simplify (sqrt 1) into 1 4.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.024 * [backup-simplify]: Simplify (+ 0 0) into 0 4.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.024 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.025 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.025 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.025 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.025 * [taylor]: Taking taylor expansion of re in re 4.025 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify 1 into 1 4.025 * [backup-simplify]: Simplify (* 1 1) into 1 4.025 * [backup-simplify]: Simplify (/ 1 1) into 1 4.025 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.025 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.025 * [taylor]: Taking taylor expansion of im in re 4.025 * [backup-simplify]: Simplify im into im 4.025 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.025 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.026 * [backup-simplify]: Simplify (+ 1 0) into 1 4.026 * [backup-simplify]: Simplify (sqrt 1) into 1 4.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.027 * [backup-simplify]: Simplify (+ 0 0) into 0 4.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.027 * [taylor]: Taking taylor expansion of 1 in im 4.027 * [backup-simplify]: Simplify 1 into 1 4.027 * [taylor]: Taking taylor expansion of 0 in im 4.027 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify 1 into 1 4.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.029 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.029 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.029 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.029 * [taylor]: Taking taylor expansion of 1/2 in im 4.029 * [backup-simplify]: Simplify 1/2 into 1/2 4.029 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.029 * [taylor]: Taking taylor expansion of im in im 4.029 * [backup-simplify]: Simplify 0 into 0 4.029 * [backup-simplify]: Simplify 1 into 1 4.030 * [backup-simplify]: Simplify (* 1 1) into 1 4.030 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify 0 into 0 4.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.032 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.033 * [backup-simplify]: Simplify (+ 0 0) into 0 4.033 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.033 * [taylor]: Taking taylor expansion of 0 in im 4.033 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 4.035 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 4.035 * [backup-simplify]: Simplify (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))) into (pow (+ (pow im 2) (pow re 2)) 1/6) 4.035 * [approximate]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/6) in (re im) around 0 4.035 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/6) in im 4.035 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow im 2) (pow re 2))))) in im 4.035 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow im 2) (pow re 2)))) in im 4.035 * [taylor]: Taking taylor expansion of 1/6 in im 4.035 * [backup-simplify]: Simplify 1/6 into 1/6 4.035 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 4.035 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 4.035 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.035 * [taylor]: Taking taylor expansion of im in im 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify 1 into 1 4.035 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.035 * [taylor]: Taking taylor expansion of re in im 4.036 * [backup-simplify]: Simplify re into re 4.036 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.036 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 4.036 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 4.036 * [backup-simplify]: Simplify (* 1/6 (log (pow re 2))) into (* 1/6 (log (pow re 2))) 4.036 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow re 2)))) into (pow (pow re 2) 1/6) 4.036 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/6) in re 4.036 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow im 2) (pow re 2))))) in re 4.036 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow im 2) (pow re 2)))) in re 4.036 * [taylor]: Taking taylor expansion of 1/6 in re 4.036 * [backup-simplify]: Simplify 1/6 into 1/6 4.036 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 4.036 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.036 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.036 * [taylor]: Taking taylor expansion of im in re 4.036 * [backup-simplify]: Simplify im into im 4.036 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.036 * [taylor]: Taking taylor expansion of re in re 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 1 into 1 4.036 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.036 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.036 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 4.036 * [backup-simplify]: Simplify (* 1/6 (log (pow im 2))) into (* 1/6 (log (pow im 2))) 4.036 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow im 2)))) into (pow (pow im 2) 1/6) 4.036 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/6) in re 4.036 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow im 2) (pow re 2))))) in re 4.037 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow im 2) (pow re 2)))) in re 4.037 * [taylor]: Taking taylor expansion of 1/6 in re 4.037 * [backup-simplify]: Simplify 1/6 into 1/6 4.037 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 4.037 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.037 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.037 * [taylor]: Taking taylor expansion of im in re 4.037 * [backup-simplify]: Simplify im into im 4.037 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.037 * [taylor]: Taking taylor expansion of re in re 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 1 into 1 4.037 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.037 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.037 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 4.037 * [backup-simplify]: Simplify (* 1/6 (log (pow im 2))) into (* 1/6 (log (pow im 2))) 4.037 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow im 2)))) into (pow (pow im 2) 1/6) 4.037 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/6) in im 4.037 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (pow im 2)))) in im 4.037 * [taylor]: Taking taylor expansion of (* 1/6 (log (pow im 2))) in im 4.037 * [taylor]: Taking taylor expansion of 1/6 in im 4.037 * [backup-simplify]: Simplify 1/6 into 1/6 4.037 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 4.037 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.037 * [taylor]: Taking taylor expansion of im in im 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 1 into 1 4.038 * [backup-simplify]: Simplify (* 1 1) into 1 4.038 * [backup-simplify]: Simplify (log 1) into 0 4.038 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 4.038 * [backup-simplify]: Simplify (* 1/6 (* 2 (log im))) into (* 1/3 (log im)) 4.038 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 4.038 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3) 4.038 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.039 * [backup-simplify]: Simplify (+ 0 0) into 0 4.039 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 4.040 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (pow im 2)))) into 0 4.040 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.040 * [taylor]: Taking taylor expansion of 0 in im 4.040 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify 0 into 0 4.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.042 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.042 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 4.042 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (* 2 (log im)))) into 0 4.043 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 4.043 * [backup-simplify]: Simplify 0 into 0 4.043 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.044 * [backup-simplify]: Simplify (* 1 1) into 1 4.044 * [backup-simplify]: Simplify (+ 0 1) into 1 4.045 * [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)) 4.046 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/6 (/ 1 (pow im 2))) 4.046 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 4.046 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 4.046 * [taylor]: Taking taylor expansion of 1/6 in im 4.046 * [backup-simplify]: Simplify 1/6 into 1/6 4.046 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 4.046 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 4.046 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 4.046 * [taylor]: Taking taylor expansion of 1/3 in im 4.046 * [backup-simplify]: Simplify 1/3 into 1/3 4.046 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 4.046 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 4.046 * [taylor]: Taking taylor expansion of (pow im 5) in im 4.046 * [taylor]: Taking taylor expansion of im in im 4.047 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify 1 into 1 4.047 * [backup-simplify]: Simplify (* 1 1) into 1 4.047 * [backup-simplify]: Simplify (* 1 1) into 1 4.047 * [backup-simplify]: Simplify (* 1 1) into 1 4.048 * [backup-simplify]: Simplify (/ 1 1) into 1 4.048 * [backup-simplify]: Simplify (log 1) into 0 4.048 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 4.048 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im)) 4.048 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3) 4.049 * [backup-simplify]: Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 4.049 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 4.049 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.051 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.052 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 4.053 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 4.054 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.056 * [backup-simplify]: Simplify (+ 0 0) into 0 4.058 * [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 4.058 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 4.060 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.060 * [taylor]: Taking taylor expansion of 0 in im 4.060 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.063 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.063 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 4.063 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0 4.064 * [backup-simplify]: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 4.064 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0 4.064 * [backup-simplify]: Simplify 0 into 0 4.064 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.068 * [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 4.068 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 4.069 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 4.070 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.070 * [backup-simplify]: Simplify 0 into 0 4.070 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) (pow (* 1 re) 2)) (pow im 1/3)) into (+ (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3)) 4.070 * [backup-simplify]: Simplify (exp (log (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) 4.070 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in (re im) around 0 4.070 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in im 4.070 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 4.070 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 4.070 * [taylor]: Taking taylor expansion of 1/6 in im 4.070 * [backup-simplify]: Simplify 1/6 into 1/6 4.070 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.070 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.070 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.070 * [taylor]: Taking taylor expansion of re in im 4.070 * [backup-simplify]: Simplify re into re 4.070 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.070 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.071 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.071 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.071 * [taylor]: Taking taylor expansion of im in im 4.071 * [backup-simplify]: Simplify 0 into 0 4.071 * [backup-simplify]: Simplify 1 into 1 4.071 * [backup-simplify]: Simplify (* 1 1) into 1 4.071 * [backup-simplify]: Simplify (/ 1 1) into 1 4.071 * [backup-simplify]: Simplify (+ 0 1) into 1 4.072 * [backup-simplify]: Simplify (log 1) into 0 4.072 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 4.072 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log im)))) into (* -1/3 (log im)) 4.072 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 4.072 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in re 4.072 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 4.072 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 4.072 * [taylor]: Taking taylor expansion of 1/6 in re 4.072 * [backup-simplify]: Simplify 1/6 into 1/6 4.072 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.072 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.072 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.072 * [taylor]: Taking taylor expansion of re in re 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify 1 into 1 4.072 * [backup-simplify]: Simplify (* 1 1) into 1 4.073 * [backup-simplify]: Simplify (/ 1 1) into 1 4.073 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.073 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.073 * [taylor]: Taking taylor expansion of im in re 4.073 * [backup-simplify]: Simplify im into im 4.073 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.073 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.073 * [backup-simplify]: Simplify (+ 1 0) into 1 4.073 * [backup-simplify]: Simplify (log 1) into 0 4.074 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.074 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 4.074 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 4.074 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in re 4.074 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 4.074 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 4.074 * [taylor]: Taking taylor expansion of 1/6 in re 4.074 * [backup-simplify]: Simplify 1/6 into 1/6 4.074 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.074 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.074 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.074 * [taylor]: Taking taylor expansion of re in re 4.074 * [backup-simplify]: Simplify 0 into 0 4.074 * [backup-simplify]: Simplify 1 into 1 4.074 * [backup-simplify]: Simplify (* 1 1) into 1 4.075 * [backup-simplify]: Simplify (/ 1 1) into 1 4.075 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.075 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.075 * [taylor]: Taking taylor expansion of im in re 4.075 * [backup-simplify]: Simplify im into im 4.075 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.075 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.075 * [backup-simplify]: Simplify (+ 1 0) into 1 4.075 * [backup-simplify]: Simplify (log 1) into 0 4.076 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.076 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 4.076 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 4.076 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 4.076 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 4.076 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 4.076 * [taylor]: Taking taylor expansion of -1/3 in im 4.076 * [backup-simplify]: Simplify -1/3 into -1/3 4.076 * [taylor]: Taking taylor expansion of (log re) in im 4.076 * [taylor]: Taking taylor expansion of re in im 4.076 * [backup-simplify]: Simplify re into re 4.076 * [backup-simplify]: Simplify (log re) into (log re) 4.076 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 4.076 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 4.076 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 4.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.077 * [backup-simplify]: Simplify (+ 0 0) into 0 4.078 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.079 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.079 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log re))))) into 0 4.080 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 4.080 * [taylor]: Taking taylor expansion of 0 in im 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 4.081 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 4.081 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 4.081 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.083 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.084 * [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)) 4.084 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.084 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/6 (/ 1 (pow im 2))) 4.085 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 4.085 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 4.085 * [taylor]: Taking taylor expansion of 1/6 in im 4.085 * [backup-simplify]: Simplify 1/6 into 1/6 4.085 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 4.085 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 4.085 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 4.085 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 4.085 * [taylor]: Taking taylor expansion of 1/3 in im 4.085 * [backup-simplify]: Simplify 1/3 into 1/3 4.085 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 4.085 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.085 * [taylor]: Taking taylor expansion of re in im 4.085 * [backup-simplify]: Simplify re into re 4.085 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.085 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 4.085 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 4.085 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 4.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.085 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.085 * [taylor]: Taking taylor expansion of im in im 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify 1 into 1 4.086 * [backup-simplify]: Simplify (* 1 1) into 1 4.086 * [backup-simplify]: Simplify (/ 1 1) into 1 4.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 4.089 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 4.089 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 4.089 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 4.091 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 4.091 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 4.092 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.092 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 4.093 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 4.093 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 4.093 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 4.095 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 4.096 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.096 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.097 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.098 * [backup-simplify]: Simplify (+ 0 0) into 0 4.100 * [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 4.100 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.101 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 4.106 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.106 * [taylor]: Taking taylor expansion of 0 in im 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3) 4.107 * [backup-simplify]: Simplify (exp (log (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) 4.107 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in (re im) around 0 4.107 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in im 4.107 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 4.107 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 4.107 * [taylor]: Taking taylor expansion of 1/6 in im 4.107 * [backup-simplify]: Simplify 1/6 into 1/6 4.107 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.107 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.107 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.107 * [taylor]: Taking taylor expansion of re in im 4.107 * [backup-simplify]: Simplify re into re 4.107 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.107 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.107 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.107 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.107 * [taylor]: Taking taylor expansion of im in im 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 1 into 1 4.107 * [backup-simplify]: Simplify (* 1 1) into 1 4.108 * [backup-simplify]: Simplify (/ 1 1) into 1 4.108 * [backup-simplify]: Simplify (+ 0 1) into 1 4.108 * [backup-simplify]: Simplify (log 1) into 0 4.109 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 4.109 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log im)))) into (* -1/3 (log im)) 4.109 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 4.109 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in re 4.109 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 4.109 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 4.109 * [taylor]: Taking taylor expansion of 1/6 in re 4.109 * [backup-simplify]: Simplify 1/6 into 1/6 4.109 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.109 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.109 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.109 * [taylor]: Taking taylor expansion of re in re 4.109 * [backup-simplify]: Simplify 0 into 0 4.109 * [backup-simplify]: Simplify 1 into 1 4.109 * [backup-simplify]: Simplify (* 1 1) into 1 4.109 * [backup-simplify]: Simplify (/ 1 1) into 1 4.109 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.109 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.109 * [taylor]: Taking taylor expansion of im in re 4.109 * [backup-simplify]: Simplify im into im 4.109 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.110 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.110 * [backup-simplify]: Simplify (+ 1 0) into 1 4.110 * [backup-simplify]: Simplify (log 1) into 0 4.110 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.110 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 4.110 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 4.110 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/6) in re 4.110 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 4.110 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 4.110 * [taylor]: Taking taylor expansion of 1/6 in re 4.110 * [backup-simplify]: Simplify 1/6 into 1/6 4.111 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.111 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.111 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.111 * [taylor]: Taking taylor expansion of re in re 4.111 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify 1 into 1 4.111 * [backup-simplify]: Simplify (* 1 1) into 1 4.111 * [backup-simplify]: Simplify (/ 1 1) into 1 4.111 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.111 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.111 * [taylor]: Taking taylor expansion of im in re 4.111 * [backup-simplify]: Simplify im into im 4.111 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.111 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.112 * [backup-simplify]: Simplify (+ 1 0) into 1 4.112 * [backup-simplify]: Simplify (log 1) into 0 4.112 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.112 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log re)))) into (* -1/3 (log re)) 4.112 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 4.112 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 4.112 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 4.112 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 4.112 * [taylor]: Taking taylor expansion of -1/3 in im 4.112 * [backup-simplify]: Simplify -1/3 into -1/3 4.112 * [taylor]: Taking taylor expansion of (log re) in im 4.112 * [taylor]: Taking taylor expansion of re in im 4.112 * [backup-simplify]: Simplify re into re 4.112 * [backup-simplify]: Simplify (log re) into (log re) 4.112 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 4.113 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 4.113 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 4.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.114 * [backup-simplify]: Simplify (+ 0 0) into 0 4.115 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.115 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.116 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log re))))) into 0 4.116 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 4.116 * [taylor]: Taking taylor expansion of 0 in im 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 4.117 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 4.118 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 4.118 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.119 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.120 * [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)) 4.121 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.121 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/6 (/ 1 (pow im 2))) 4.122 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 4.122 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 4.122 * [taylor]: Taking taylor expansion of 1/6 in im 4.122 * [backup-simplify]: Simplify 1/6 into 1/6 4.122 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 4.122 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 4.122 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 4.122 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 4.122 * [taylor]: Taking taylor expansion of 1/3 in im 4.122 * [backup-simplify]: Simplify 1/3 into 1/3 4.122 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 4.122 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.122 * [taylor]: Taking taylor expansion of re in im 4.122 * [backup-simplify]: Simplify re into re 4.122 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.122 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 4.122 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 4.122 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 4.122 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.122 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.122 * [taylor]: Taking taylor expansion of im in im 4.122 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify 1 into 1 4.122 * [backup-simplify]: Simplify (* 1 1) into 1 4.123 * [backup-simplify]: Simplify (/ 1 1) into 1 4.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 4.125 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 4.126 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 4.126 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 4.127 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 4.128 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 4.129 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.129 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 4.129 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 4.129 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 4.130 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 4.130 * [backup-simplify]: Simplify 0 into 0 4.130 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 4.132 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 4.133 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.133 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.135 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.135 * [backup-simplify]: Simplify (+ 0 0) into 0 4.139 * [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 4.139 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.140 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 4.143 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.143 * [taylor]: Taking taylor expansion of 0 in im 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3) 4.143 * * * [progress]: simplifying candidates 4.143 * * * * [progress]: [ 1 / 85 ] simplifiying candidate # 4.143 * * * * [progress]: [ 2 / 85 ] simplifiying candidate # 4.143 * * * * [progress]: [ 3 / 85 ] simplifiying candidate # 4.143 * * * * [progress]: [ 4 / 85 ] simplifiying candidate # 4.143 * * * * [progress]: [ 5 / 85 ] simplifiying candidate # 4.143 * * * * [progress]: [ 6 / 85 ] simplifiying candidate # 4.143 * * * * [progress]: [ 7 / 85 ] simplifiying candidate # 4.144 * * * * [progress]: [ 8 / 85 ] simplifiying candidate # 4.144 * * * * [progress]: [ 9 / 85 ] simplifiying candidate # 4.144 * * * * [progress]: [ 10 / 85 ] simplifiying candidate # 4.144 * * * * [progress]: [ 11 / 85 ] simplifiying candidate # 4.144 * * * * [progress]: [ 12 / 85 ] simplifiying candidate # 4.144 * * * * [progress]: [ 13 / 85 ] simplifiying candidate # 4.144 * * * * [progress]: [ 14 / 85 ] simplifiying candidate # 4.144 * * * * [progress]: [ 15 / 85 ] simplifiying candidate # 4.144 * * * * [progress]: [ 16 / 85 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))))))> 4.144 * * * * [progress]: [ 17 / 85 ] simplifiying candidate # 4.144 * * * * [progress]: [ 18 / 85 ] simplifiying candidate # 4.144 * * * * [progress]: [ 19 / 85 ] simplifiying candidate # 4.144 * * * * [progress]: [ 20 / 85 ] simplifiying candidate # 4.144 * * * * [progress]: [ 21 / 85 ] simplifiying candidate # 4.145 * * * * [progress]: [ 22 / 85 ] simplifiying candidate # 4.145 * * * * [progress]: [ 23 / 85 ] simplifiying candidate # 4.145 * * * * [progress]: [ 24 / 85 ] simplifiying candidate # 4.145 * * * * [progress]: [ 25 / 85 ] simplifiying candidate # 4.145 * * * * [progress]: [ 26 / 85 ] simplifiying candidate # 4.145 * * * * [progress]: [ 27 / 85 ] simplifiying candidate # 4.145 * * * * [progress]: [ 28 / 85 ] simplifiying candidate # 4.145 * * * * [progress]: [ 29 / 85 ] simplifiying candidate # 4.145 * * * * [progress]: [ 30 / 85 ] simplifiying candidate # 4.145 * * * * [progress]: [ 31 / 85 ] simplifiying candidate # 4.145 * * * * [progress]: [ 32 / 85 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))))> 4.145 * * * * [progress]: [ 33 / 85 ] simplifiying candidate # 4.145 * * * * [progress]: [ 34 / 85 ] simplifiying candidate # 4.145 * * * * [progress]: [ 35 / 85 ] simplifiying candidate # 4.146 * * * * [progress]: [ 36 / 85 ] simplifiying candidate # 4.146 * * * * [progress]: [ 37 / 85 ] simplifiying candidate # 4.146 * * * * [progress]: [ 38 / 85 ] simplifiying candidate # 4.146 * * * * [progress]: [ 39 / 85 ] simplifiying candidate # 4.146 * * * * [progress]: [ 40 / 85 ] simplifiying candidate # 4.146 * * * * [progress]: [ 41 / 85 ] simplifiying candidate # 4.146 * * * * [progress]: [ 42 / 85 ] simplifiying candidate # 4.146 * * * * [progress]: [ 43 / 85 ] simplifiying candidate # 4.146 * * * * [progress]: [ 44 / 85 ] simplifiying candidate # 4.146 * * * * [progress]: [ 45 / 85 ] simplifiying candidate # 4.146 * * * * [progress]: [ 46 / 85 ] simplifiying candidate # 4.146 * * * * [progress]: [ 47 / 85 ] simplifiying candidate # 4.146 * * * * [progress]: [ 48 / 85 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))))> 4.146 * * * * [progress]: [ 49 / 85 ] simplifiying candidate # 4.146 * * * * [progress]: [ 50 / 85 ] simplifiying candidate # 4.147 * * * * [progress]: [ 51 / 85 ] simplifiying candidate # 4.147 * * * * [progress]: [ 52 / 85 ] simplifiying candidate # 4.147 * * * * [progress]: [ 53 / 85 ] simplifiying candidate # 4.147 * * * * [progress]: [ 54 / 85 ] simplifiying candidate # 4.147 * * * * [progress]: [ 55 / 85 ] simplifiying candidate # 4.147 * * * * [progress]: [ 56 / 85 ] simplifiying candidate # 4.147 * * * * [progress]: [ 57 / 85 ] simplifiying candidate # 4.147 * * * * [progress]: [ 58 / 85 ] simplifiying candidate # 4.147 * * * * [progress]: [ 59 / 85 ] simplifiying candidate # 4.147 * * * * [progress]: [ 60 / 85 ] simplifiying candidate # 4.147 * * * * [progress]: [ 61 / 85 ] simplifiying candidate # 4.147 * * * * [progress]: [ 62 / 85 ] simplifiying candidate # 4.147 * * * * [progress]: [ 63 / 85 ] simplifiying candidate # 4.148 * * * * [progress]: [ 64 / 85 ] simplifiying candidate # 4.148 * * * * [progress]: [ 65 / 85 ] simplifiying candidate # 4.148 * * * * [progress]: [ 66 / 85 ] simplifiying candidate # 4.148 * * * * [progress]: [ 67 / 85 ] simplifiying candidate # 4.148 * * * * [progress]: [ 68 / 85 ] simplifiying candidate # 4.148 * * * * [progress]: [ 69 / 85 ] simplifiying candidate # 4.148 * * * * [progress]: [ 70 / 85 ] simplifiying candidate # 4.148 * * * * [progress]: [ 71 / 85 ] simplifiying candidate # 4.148 * * * * [progress]: [ 72 / 85 ] simplifiying candidate # 4.148 * * * * [progress]: [ 73 / 85 ] simplifiying candidate #real (real->posit16 (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))))))> 4.148 * * * * [progress]: [ 74 / 85 ] simplifiying candidate # 4.148 * * * * [progress]: [ 75 / 85 ] simplifiying candidate # 4.148 * * * * [progress]: [ 76 / 85 ] simplifiying candidate # 4.148 * * * * [progress]: [ 77 / 85 ] simplifiying candidate # 4.148 * * * * [progress]: [ 78 / 85 ] simplifiying candidate # 4.149 * * * * [progress]: [ 79 / 85 ] simplifiying candidate # 4.149 * * * * [progress]: [ 80 / 85 ] simplifiying candidate # 4.149 * * * * [progress]: [ 81 / 85 ] simplifiying candidate # 4.149 * * * * [progress]: [ 82 / 85 ] simplifiying candidate # 4.149 * * * * [progress]: [ 83 / 85 ] simplifiying candidate # 4.149 * * * * [progress]: [ 84 / 85 ] simplifiying candidate # 4.149 * * * * [progress]: [ 85 / 85 ] simplifiying candidate # 4.150 * [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)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (exp 1/3) (exp 1) (exp (* (cbrt (log (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (log (cbrt (sqrt (+ (* re re) (* im im)))))))) (exp (sqrt (log (cbrt (sqrt (+ (* re re) (* im im))))))) (exp 1) (exp (log (cbrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))) (exp (log (cbrt (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))) (exp (log (cbrt (sqrt (cbrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt 1)))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))) (exp (log (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt 1))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))) (exp (log (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))))) (exp (log (cbrt (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log 1)) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))) (exp (log (cbrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))) (exp (log (cbrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) (exp (log (cbrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))) (exp (log (cbrt (sqrt (- (* re re) (* im im)))))) (log (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) (* (cbrt (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))))) (cbrt (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) (* (* (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) (real->posit16 (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) im re (* -1 re) im re (* -1 re) im re (* -1 re) (+ (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 4.153 * * [simplify]: iteration 1: (113 enodes) 4.190 * * [simplify]: iteration 2: (199 enodes) 4.242 * * [simplify]: iteration 3: (413 enodes) 4.375 * * [simplify]: iteration 4: (1081 enodes) 4.983 * * [simplify]: Extracting #0: cost 40 inf + 0 4.983 * * [simplify]: Extracting #1: cost 107 inf + 46 4.984 * * [simplify]: Extracting #2: cost 268 inf + 468 4.986 * * [simplify]: Extracting #3: cost 516 inf + 5225 4.995 * * [simplify]: Extracting #4: cost 378 inf + 36524 5.029 * * [simplify]: Extracting #5: cost 108 inf + 121401 5.084 * * [simplify]: Extracting #6: cost 23 inf + 161976 5.130 * * [simplify]: Extracting #7: cost 10 inf + 167221 5.158 * * [simplify]: Extracting #8: cost 1 inf + 171479 5.189 * * [simplify]: Extracting #9: cost 0 inf + 172272 5.229 * [simplify]: Simplified to: (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (* (- re im) (+ re im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (sqrt (+ (* im im) (* re re)))) (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (* (- re im) (+ re im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (sqrt (+ (* im im) (* re re)))) (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (* (- re im) (+ re im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (sqrt (+ (* im im) (* re re)))) (exp 1/3) E (exp (* (cbrt (log (cbrt (sqrt (+ (* im im) (* re re)))))) (cbrt (log (cbrt (sqrt (+ (* im im) (* re re)))))))) (exp (sqrt (log (cbrt (sqrt (+ (* im im) (* re re))))))) E (cbrt (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))) (cbrt (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (fabs (cbrt (+ (* im im) (* re re))))) (cbrt (sqrt (cbrt (+ (* im im) (* re re))))) (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) 1 (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) 1 (cbrt (sqrt (+ (* im im) (* re re)))) (* (cbrt (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (cbrt (sqrt (+ (* im im) (* re re)))))) (cbrt (cbrt (sqrt (+ (* im im) (* re re))))) (sqrt (cbrt (sqrt (+ (* im im) (* re re))))) (sqrt (cbrt (sqrt (+ (* im im) (* re re))))) 1 (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* im im) (* (* im im) (* im im)))))) (cbrt (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re))))) (cbrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (sqrt (* (- re im) (+ re im)))) (log (cbrt (sqrt (+ (* im im) (* re re))))) (exp (cbrt (sqrt (+ (* im im) (* re re))))) (* (cbrt (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (cbrt (sqrt (+ (* im im) (* re re)))))) (cbrt (cbrt (sqrt (+ (* im im) (* re re))))) (sqrt (+ (* im im) (* re re))) (sqrt (cbrt (sqrt (+ (* im im) (* re re))))) (sqrt (cbrt (sqrt (+ (* im im) (* re re))))) (real->posit16 (cbrt (sqrt (+ (* im im) (* re re))))) im re (- re) im re (- re) im re (- re) (+ (cbrt im) (* re (* (* (cbrt (/ 1 (* (* (* im im) (* im im)) im))) re) 1/6))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 5.246 * * * [progress]: adding candidates to table 6.281 * * [progress]: iteration 4 / 4 6.281 * * * [progress]: picking best candidate 6.297 * * * * [pick]: Picked # 6.297 * * * [progress]: localizing error 6.395 * * * [progress]: generating rewritten candidates 6.395 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 1 1) 6.400 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 6.406 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 1 1) 6.412 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 6.419 * * * [progress]: generating series expansions 6.419 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 1 1) 6.419 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 6.419 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 6.419 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 6.419 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.419 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.419 * [taylor]: Taking taylor expansion of im in im 6.419 * [backup-simplify]: Simplify 0 into 0 6.419 * [backup-simplify]: Simplify 1 into 1 6.419 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.419 * [taylor]: Taking taylor expansion of re in im 6.419 * [backup-simplify]: Simplify re into re 6.419 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.419 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.419 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.419 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.420 * [backup-simplify]: Simplify (+ 0 0) into 0 6.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.420 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.420 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.420 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.420 * [taylor]: Taking taylor expansion of im in re 6.420 * [backup-simplify]: Simplify im into im 6.420 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.420 * [taylor]: Taking taylor expansion of re in re 6.420 * [backup-simplify]: Simplify 0 into 0 6.420 * [backup-simplify]: Simplify 1 into 1 6.420 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.420 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.420 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.420 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.421 * [backup-simplify]: Simplify (+ 0 0) into 0 6.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.421 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.421 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.421 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.421 * [taylor]: Taking taylor expansion of im in re 6.421 * [backup-simplify]: Simplify im into im 6.421 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.421 * [taylor]: Taking taylor expansion of re in re 6.421 * [backup-simplify]: Simplify 0 into 0 6.421 * [backup-simplify]: Simplify 1 into 1 6.421 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.421 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.422 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.422 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.422 * [backup-simplify]: Simplify (+ 0 0) into 0 6.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.422 * [taylor]: Taking taylor expansion of im in im 6.422 * [backup-simplify]: Simplify 0 into 0 6.422 * [backup-simplify]: Simplify 1 into 1 6.422 * [backup-simplify]: Simplify 0 into 0 6.422 * [taylor]: Taking taylor expansion of 0 in im 6.422 * [backup-simplify]: Simplify 0 into 0 6.422 * [backup-simplify]: Simplify 0 into 0 6.422 * [backup-simplify]: Simplify 1 into 1 6.423 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.423 * [backup-simplify]: Simplify (* 1 1) into 1 6.424 * [backup-simplify]: Simplify (+ 0 1) into 1 6.425 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.425 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.425 * [taylor]: Taking taylor expansion of 1/2 in im 6.425 * [backup-simplify]: Simplify 1/2 into 1/2 6.425 * [taylor]: Taking taylor expansion of im in im 6.425 * [backup-simplify]: Simplify 0 into 0 6.425 * [backup-simplify]: Simplify 1 into 1 6.425 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.426 * [backup-simplify]: Simplify 0 into 0 6.426 * [backup-simplify]: Simplify 0 into 0 6.426 * [backup-simplify]: Simplify 0 into 0 6.427 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.428 * [backup-simplify]: Simplify (+ 0 0) into 0 6.428 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.428 * [taylor]: Taking taylor expansion of 0 in im 6.428 * [backup-simplify]: Simplify 0 into 0 6.428 * [backup-simplify]: Simplify 0 into 0 6.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.430 * [backup-simplify]: Simplify 0 into 0 6.430 * [backup-simplify]: Simplify 0 into 0 6.430 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.430 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.430 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.430 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.430 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.430 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.430 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.430 * [taylor]: Taking taylor expansion of re in im 6.430 * [backup-simplify]: Simplify re into re 6.430 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.430 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.430 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.430 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.430 * [taylor]: Taking taylor expansion of im in im 6.430 * [backup-simplify]: Simplify 0 into 0 6.430 * [backup-simplify]: Simplify 1 into 1 6.431 * [backup-simplify]: Simplify (* 1 1) into 1 6.431 * [backup-simplify]: Simplify (/ 1 1) into 1 6.432 * [backup-simplify]: Simplify (+ 0 1) into 1 6.432 * [backup-simplify]: Simplify (sqrt 1) into 1 6.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.434 * [backup-simplify]: Simplify (+ 0 0) into 0 6.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.435 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.435 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.435 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.435 * [taylor]: Taking taylor expansion of re in re 6.435 * [backup-simplify]: Simplify 0 into 0 6.435 * [backup-simplify]: Simplify 1 into 1 6.435 * [backup-simplify]: Simplify (* 1 1) into 1 6.436 * [backup-simplify]: Simplify (/ 1 1) into 1 6.436 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.436 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.436 * [taylor]: Taking taylor expansion of im in re 6.436 * [backup-simplify]: Simplify im into im 6.436 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.436 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.436 * [backup-simplify]: Simplify (+ 1 0) into 1 6.437 * [backup-simplify]: Simplify (sqrt 1) into 1 6.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.439 * [backup-simplify]: Simplify (+ 0 0) into 0 6.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.439 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.439 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.439 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.439 * [taylor]: Taking taylor expansion of re in re 6.439 * [backup-simplify]: Simplify 0 into 0 6.440 * [backup-simplify]: Simplify 1 into 1 6.440 * [backup-simplify]: Simplify (* 1 1) into 1 6.440 * [backup-simplify]: Simplify (/ 1 1) into 1 6.440 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.440 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.440 * [taylor]: Taking taylor expansion of im in re 6.440 * [backup-simplify]: Simplify im into im 6.440 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.441 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.441 * [backup-simplify]: Simplify (+ 1 0) into 1 6.441 * [backup-simplify]: Simplify (sqrt 1) into 1 6.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.443 * [backup-simplify]: Simplify (+ 0 0) into 0 6.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.444 * [taylor]: Taking taylor expansion of 1 in im 6.444 * [backup-simplify]: Simplify 1 into 1 6.444 * [taylor]: Taking taylor expansion of 0 in im 6.444 * [backup-simplify]: Simplify 0 into 0 6.444 * [backup-simplify]: Simplify 1 into 1 6.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.446 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.448 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.448 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.448 * [taylor]: Taking taylor expansion of 1/2 in im 6.448 * [backup-simplify]: Simplify 1/2 into 1/2 6.448 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.448 * [taylor]: Taking taylor expansion of im in im 6.448 * [backup-simplify]: Simplify 0 into 0 6.448 * [backup-simplify]: Simplify 1 into 1 6.448 * [backup-simplify]: Simplify (* 1 1) into 1 6.449 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.450 * [backup-simplify]: Simplify 0 into 0 6.450 * [backup-simplify]: Simplify 0 into 0 6.450 * [backup-simplify]: Simplify 0 into 0 6.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.453 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.458 * [backup-simplify]: Simplify (+ 0 0) into 0 6.459 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.459 * [taylor]: Taking taylor expansion of 0 in im 6.459 * [backup-simplify]: Simplify 0 into 0 6.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.461 * [backup-simplify]: Simplify 0 into 0 6.461 * [backup-simplify]: Simplify 0 into 0 6.461 * [backup-simplify]: Simplify 0 into 0 6.461 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.461 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.461 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.461 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.461 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.462 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.462 * [taylor]: Taking taylor expansion of re in im 6.462 * [backup-simplify]: Simplify re into re 6.462 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.462 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.462 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.462 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.462 * [taylor]: Taking taylor expansion of im in im 6.462 * [backup-simplify]: Simplify 0 into 0 6.462 * [backup-simplify]: Simplify 1 into 1 6.462 * [backup-simplify]: Simplify (* 1 1) into 1 6.463 * [backup-simplify]: Simplify (/ 1 1) into 1 6.463 * [backup-simplify]: Simplify (+ 0 1) into 1 6.463 * [backup-simplify]: Simplify (sqrt 1) into 1 6.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.465 * [backup-simplify]: Simplify (+ 0 0) into 0 6.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.466 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.466 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.466 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.466 * [taylor]: Taking taylor expansion of re in re 6.466 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify 1 into 1 6.466 * [backup-simplify]: Simplify (* 1 1) into 1 6.467 * [backup-simplify]: Simplify (/ 1 1) into 1 6.467 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.467 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.467 * [taylor]: Taking taylor expansion of im in re 6.467 * [backup-simplify]: Simplify im into im 6.467 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.467 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.467 * [backup-simplify]: Simplify (+ 1 0) into 1 6.468 * [backup-simplify]: Simplify (sqrt 1) into 1 6.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.469 * [backup-simplify]: Simplify (+ 0 0) into 0 6.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.470 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.470 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.470 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.470 * [taylor]: Taking taylor expansion of re in re 6.470 * [backup-simplify]: Simplify 0 into 0 6.470 * [backup-simplify]: Simplify 1 into 1 6.470 * [backup-simplify]: Simplify (* 1 1) into 1 6.471 * [backup-simplify]: Simplify (/ 1 1) into 1 6.471 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.471 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.471 * [taylor]: Taking taylor expansion of im in re 6.471 * [backup-simplify]: Simplify im into im 6.471 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.471 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.471 * [backup-simplify]: Simplify (+ 1 0) into 1 6.472 * [backup-simplify]: Simplify (sqrt 1) into 1 6.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.473 * [backup-simplify]: Simplify (+ 0 0) into 0 6.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.474 * [taylor]: Taking taylor expansion of 1 in im 6.474 * [backup-simplify]: Simplify 1 into 1 6.474 * [taylor]: Taking taylor expansion of 0 in im 6.474 * [backup-simplify]: Simplify 0 into 0 6.474 * [backup-simplify]: Simplify 1 into 1 6.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.476 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.477 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.477 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.477 * [taylor]: Taking taylor expansion of 1/2 in im 6.477 * [backup-simplify]: Simplify 1/2 into 1/2 6.477 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.477 * [taylor]: Taking taylor expansion of im in im 6.477 * [backup-simplify]: Simplify 0 into 0 6.477 * [backup-simplify]: Simplify 1 into 1 6.478 * [backup-simplify]: Simplify (* 1 1) into 1 6.478 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.479 * [backup-simplify]: Simplify 0 into 0 6.479 * [backup-simplify]: Simplify 0 into 0 6.479 * [backup-simplify]: Simplify 0 into 0 6.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.481 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.482 * [backup-simplify]: Simplify (+ 0 0) into 0 6.482 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.482 * [taylor]: Taking taylor expansion of 0 in im 6.482 * [backup-simplify]: Simplify 0 into 0 6.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.484 * [backup-simplify]: Simplify 0 into 0 6.484 * [backup-simplify]: Simplify 0 into 0 6.484 * [backup-simplify]: Simplify 0 into 0 6.484 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.485 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 1) 6.485 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 6.485 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 6.485 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 6.485 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.485 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.485 * [taylor]: Taking taylor expansion of im in im 6.485 * [backup-simplify]: Simplify 0 into 0 6.485 * [backup-simplify]: Simplify 1 into 1 6.485 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.485 * [taylor]: Taking taylor expansion of re in im 6.485 * [backup-simplify]: Simplify re into re 6.485 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.485 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.485 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.485 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.486 * [backup-simplify]: Simplify (+ 0 0) into 0 6.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.486 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.486 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.486 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.486 * [taylor]: Taking taylor expansion of im in re 6.486 * [backup-simplify]: Simplify im into im 6.486 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.486 * [taylor]: Taking taylor expansion of re in re 6.486 * [backup-simplify]: Simplify 0 into 0 6.486 * [backup-simplify]: Simplify 1 into 1 6.486 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.486 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.486 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.486 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.487 * [backup-simplify]: Simplify (+ 0 0) into 0 6.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.487 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.487 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.487 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.487 * [taylor]: Taking taylor expansion of im in re 6.487 * [backup-simplify]: Simplify im into im 6.487 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.487 * [taylor]: Taking taylor expansion of re in re 6.487 * [backup-simplify]: Simplify 0 into 0 6.487 * [backup-simplify]: Simplify 1 into 1 6.487 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.487 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.487 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.487 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.488 * [backup-simplify]: Simplify (+ 0 0) into 0 6.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.488 * [taylor]: Taking taylor expansion of im in im 6.488 * [backup-simplify]: Simplify 0 into 0 6.488 * [backup-simplify]: Simplify 1 into 1 6.488 * [backup-simplify]: Simplify 0 into 0 6.488 * [taylor]: Taking taylor expansion of 0 in im 6.488 * [backup-simplify]: Simplify 0 into 0 6.488 * [backup-simplify]: Simplify 0 into 0 6.488 * [backup-simplify]: Simplify 1 into 1 6.488 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.489 * [backup-simplify]: Simplify (* 1 1) into 1 6.489 * [backup-simplify]: Simplify (+ 0 1) into 1 6.490 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.490 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.490 * [taylor]: Taking taylor expansion of 1/2 in im 6.490 * [backup-simplify]: Simplify 1/2 into 1/2 6.490 * [taylor]: Taking taylor expansion of im in im 6.490 * [backup-simplify]: Simplify 0 into 0 6.490 * [backup-simplify]: Simplify 1 into 1 6.490 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.491 * [backup-simplify]: Simplify 0 into 0 6.491 * [backup-simplify]: Simplify 0 into 0 6.492 * [backup-simplify]: Simplify 0 into 0 6.493 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.494 * [backup-simplify]: Simplify (+ 0 0) into 0 6.494 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.494 * [taylor]: Taking taylor expansion of 0 in im 6.494 * [backup-simplify]: Simplify 0 into 0 6.494 * [backup-simplify]: Simplify 0 into 0 6.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.495 * [backup-simplify]: Simplify 0 into 0 6.495 * [backup-simplify]: Simplify 0 into 0 6.495 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.496 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.496 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.496 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.496 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.496 * [taylor]: Taking taylor expansion of re in im 6.496 * [backup-simplify]: Simplify re into re 6.496 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.496 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.496 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.496 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.496 * [taylor]: Taking taylor expansion of im in im 6.496 * [backup-simplify]: Simplify 0 into 0 6.496 * [backup-simplify]: Simplify 1 into 1 6.497 * [backup-simplify]: Simplify (* 1 1) into 1 6.497 * [backup-simplify]: Simplify (/ 1 1) into 1 6.498 * [backup-simplify]: Simplify (+ 0 1) into 1 6.498 * [backup-simplify]: Simplify (sqrt 1) into 1 6.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.500 * [backup-simplify]: Simplify (+ 0 0) into 0 6.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.501 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.501 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.501 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.501 * [taylor]: Taking taylor expansion of re in re 6.501 * [backup-simplify]: Simplify 0 into 0 6.501 * [backup-simplify]: Simplify 1 into 1 6.501 * [backup-simplify]: Simplify (* 1 1) into 1 6.502 * [backup-simplify]: Simplify (/ 1 1) into 1 6.502 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.502 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.502 * [taylor]: Taking taylor expansion of im in re 6.502 * [backup-simplify]: Simplify im into im 6.502 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.502 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.502 * [backup-simplify]: Simplify (+ 1 0) into 1 6.503 * [backup-simplify]: Simplify (sqrt 1) into 1 6.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.505 * [backup-simplify]: Simplify (+ 0 0) into 0 6.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.506 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.506 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.506 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.506 * [taylor]: Taking taylor expansion of re in re 6.506 * [backup-simplify]: Simplify 0 into 0 6.506 * [backup-simplify]: Simplify 1 into 1 6.506 * [backup-simplify]: Simplify (* 1 1) into 1 6.507 * [backup-simplify]: Simplify (/ 1 1) into 1 6.507 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.507 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.507 * [taylor]: Taking taylor expansion of im in re 6.507 * [backup-simplify]: Simplify im into im 6.507 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.507 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.507 * [backup-simplify]: Simplify (+ 1 0) into 1 6.508 * [backup-simplify]: Simplify (sqrt 1) into 1 6.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.510 * [backup-simplify]: Simplify (+ 0 0) into 0 6.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.510 * [taylor]: Taking taylor expansion of 1 in im 6.510 * [backup-simplify]: Simplify 1 into 1 6.511 * [taylor]: Taking taylor expansion of 0 in im 6.511 * [backup-simplify]: Simplify 0 into 0 6.511 * [backup-simplify]: Simplify 1 into 1 6.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.513 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.514 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.514 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.514 * [taylor]: Taking taylor expansion of 1/2 in im 6.514 * [backup-simplify]: Simplify 1/2 into 1/2 6.514 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.514 * [taylor]: Taking taylor expansion of im in im 6.514 * [backup-simplify]: Simplify 0 into 0 6.514 * [backup-simplify]: Simplify 1 into 1 6.514 * [backup-simplify]: Simplify (* 1 1) into 1 6.515 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.516 * [backup-simplify]: Simplify 0 into 0 6.516 * [backup-simplify]: Simplify 0 into 0 6.516 * [backup-simplify]: Simplify 0 into 0 6.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.518 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.519 * [backup-simplify]: Simplify (+ 0 0) into 0 6.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.519 * [taylor]: Taking taylor expansion of 0 in im 6.519 * [backup-simplify]: Simplify 0 into 0 6.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.521 * [backup-simplify]: Simplify 0 into 0 6.521 * [backup-simplify]: Simplify 0 into 0 6.521 * [backup-simplify]: Simplify 0 into 0 6.521 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.521 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.521 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.521 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.521 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.521 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.521 * [taylor]: Taking taylor expansion of re in im 6.521 * [backup-simplify]: Simplify re into re 6.521 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.521 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.521 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.521 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.521 * [taylor]: Taking taylor expansion of im in im 6.521 * [backup-simplify]: Simplify 0 into 0 6.521 * [backup-simplify]: Simplify 1 into 1 6.522 * [backup-simplify]: Simplify (* 1 1) into 1 6.522 * [backup-simplify]: Simplify (/ 1 1) into 1 6.522 * [backup-simplify]: Simplify (+ 0 1) into 1 6.522 * [backup-simplify]: Simplify (sqrt 1) into 1 6.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.523 * [backup-simplify]: Simplify (+ 0 0) into 0 6.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.524 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.524 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.524 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.524 * [taylor]: Taking taylor expansion of re in re 6.524 * [backup-simplify]: Simplify 0 into 0 6.524 * [backup-simplify]: Simplify 1 into 1 6.524 * [backup-simplify]: Simplify (* 1 1) into 1 6.524 * [backup-simplify]: Simplify (/ 1 1) into 1 6.524 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.524 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.525 * [taylor]: Taking taylor expansion of im in re 6.525 * [backup-simplify]: Simplify im into im 6.525 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.525 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.525 * [backup-simplify]: Simplify (+ 1 0) into 1 6.525 * [backup-simplify]: Simplify (sqrt 1) into 1 6.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.526 * [backup-simplify]: Simplify (+ 0 0) into 0 6.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.527 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.527 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.527 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.527 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.527 * [taylor]: Taking taylor expansion of re in re 6.527 * [backup-simplify]: Simplify 0 into 0 6.527 * [backup-simplify]: Simplify 1 into 1 6.527 * [backup-simplify]: Simplify (* 1 1) into 1 6.527 * [backup-simplify]: Simplify (/ 1 1) into 1 6.527 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.527 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.527 * [taylor]: Taking taylor expansion of im in re 6.527 * [backup-simplify]: Simplify im into im 6.527 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.527 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.528 * [backup-simplify]: Simplify (+ 1 0) into 1 6.528 * [backup-simplify]: Simplify (sqrt 1) into 1 6.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.529 * [backup-simplify]: Simplify (+ 0 0) into 0 6.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.530 * [taylor]: Taking taylor expansion of 1 in im 6.530 * [backup-simplify]: Simplify 1 into 1 6.530 * [taylor]: Taking taylor expansion of 0 in im 6.530 * [backup-simplify]: Simplify 0 into 0 6.530 * [backup-simplify]: Simplify 1 into 1 6.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.531 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.532 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.532 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.532 * [taylor]: Taking taylor expansion of 1/2 in im 6.532 * [backup-simplify]: Simplify 1/2 into 1/2 6.532 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.532 * [taylor]: Taking taylor expansion of im in im 6.532 * [backup-simplify]: Simplify 0 into 0 6.532 * [backup-simplify]: Simplify 1 into 1 6.532 * [backup-simplify]: Simplify (* 1 1) into 1 6.532 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.533 * [backup-simplify]: Simplify 0 into 0 6.533 * [backup-simplify]: Simplify 0 into 0 6.533 * [backup-simplify]: Simplify 0 into 0 6.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.535 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.535 * [backup-simplify]: Simplify (+ 0 0) into 0 6.535 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.535 * [taylor]: Taking taylor expansion of 0 in im 6.535 * [backup-simplify]: Simplify 0 into 0 6.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.536 * [backup-simplify]: Simplify 0 into 0 6.537 * [backup-simplify]: Simplify 0 into 0 6.537 * [backup-simplify]: Simplify 0 into 0 6.537 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.537 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1 1 1) 6.537 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 6.537 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 6.537 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 6.537 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.537 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.537 * [taylor]: Taking taylor expansion of im in im 6.537 * [backup-simplify]: Simplify 0 into 0 6.537 * [backup-simplify]: Simplify 1 into 1 6.537 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.537 * [taylor]: Taking taylor expansion of re in im 6.537 * [backup-simplify]: Simplify re into re 6.537 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.537 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.537 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.537 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.537 * [backup-simplify]: Simplify (+ 0 0) into 0 6.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.537 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.537 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.538 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.538 * [taylor]: Taking taylor expansion of im in re 6.538 * [backup-simplify]: Simplify im into im 6.538 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.538 * [taylor]: Taking taylor expansion of re in re 6.538 * [backup-simplify]: Simplify 0 into 0 6.538 * [backup-simplify]: Simplify 1 into 1 6.538 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.538 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.538 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.538 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.538 * [backup-simplify]: Simplify (+ 0 0) into 0 6.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.538 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.538 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.538 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.538 * [taylor]: Taking taylor expansion of im in re 6.538 * [backup-simplify]: Simplify im into im 6.538 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.538 * [taylor]: Taking taylor expansion of re in re 6.538 * [backup-simplify]: Simplify 0 into 0 6.538 * [backup-simplify]: Simplify 1 into 1 6.538 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.538 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.538 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.538 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.539 * [backup-simplify]: Simplify (+ 0 0) into 0 6.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.539 * [taylor]: Taking taylor expansion of im in im 6.539 * [backup-simplify]: Simplify 0 into 0 6.539 * [backup-simplify]: Simplify 1 into 1 6.539 * [backup-simplify]: Simplify 0 into 0 6.539 * [taylor]: Taking taylor expansion of 0 in im 6.539 * [backup-simplify]: Simplify 0 into 0 6.539 * [backup-simplify]: Simplify 0 into 0 6.539 * [backup-simplify]: Simplify 1 into 1 6.539 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.540 * [backup-simplify]: Simplify (* 1 1) into 1 6.540 * [backup-simplify]: Simplify (+ 0 1) into 1 6.540 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.540 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.540 * [taylor]: Taking taylor expansion of 1/2 in im 6.540 * [backup-simplify]: Simplify 1/2 into 1/2 6.540 * [taylor]: Taking taylor expansion of im in im 6.540 * [backup-simplify]: Simplify 0 into 0 6.540 * [backup-simplify]: Simplify 1 into 1 6.541 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.541 * [backup-simplify]: Simplify 0 into 0 6.541 * [backup-simplify]: Simplify 0 into 0 6.541 * [backup-simplify]: Simplify 0 into 0 6.542 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.542 * [backup-simplify]: Simplify (+ 0 0) into 0 6.543 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.543 * [taylor]: Taking taylor expansion of 0 in im 6.543 * [backup-simplify]: Simplify 0 into 0 6.543 * [backup-simplify]: Simplify 0 into 0 6.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.543 * [backup-simplify]: Simplify 0 into 0 6.543 * [backup-simplify]: Simplify 0 into 0 6.543 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.544 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.544 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.544 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.544 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.544 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.544 * [taylor]: Taking taylor expansion of re in im 6.544 * [backup-simplify]: Simplify re into re 6.544 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.544 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.544 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.544 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.544 * [taylor]: Taking taylor expansion of im in im 6.544 * [backup-simplify]: Simplify 0 into 0 6.544 * [backup-simplify]: Simplify 1 into 1 6.544 * [backup-simplify]: Simplify (* 1 1) into 1 6.545 * [backup-simplify]: Simplify (/ 1 1) into 1 6.545 * [backup-simplify]: Simplify (+ 0 1) into 1 6.546 * [backup-simplify]: Simplify (sqrt 1) into 1 6.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.547 * [backup-simplify]: Simplify (+ 0 0) into 0 6.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.547 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.547 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.547 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.547 * [taylor]: Taking taylor expansion of re in re 6.547 * [backup-simplify]: Simplify 0 into 0 6.547 * [backup-simplify]: Simplify 1 into 1 6.548 * [backup-simplify]: Simplify (* 1 1) into 1 6.548 * [backup-simplify]: Simplify (/ 1 1) into 1 6.548 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.548 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.548 * [taylor]: Taking taylor expansion of im in re 6.548 * [backup-simplify]: Simplify im into im 6.548 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.548 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.548 * [backup-simplify]: Simplify (+ 1 0) into 1 6.549 * [backup-simplify]: Simplify (sqrt 1) into 1 6.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.550 * [backup-simplify]: Simplify (+ 0 0) into 0 6.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.550 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.550 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.550 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.551 * [taylor]: Taking taylor expansion of re in re 6.551 * [backup-simplify]: Simplify 0 into 0 6.551 * [backup-simplify]: Simplify 1 into 1 6.551 * [backup-simplify]: Simplify (* 1 1) into 1 6.551 * [backup-simplify]: Simplify (/ 1 1) into 1 6.551 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.551 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.551 * [taylor]: Taking taylor expansion of im in re 6.551 * [backup-simplify]: Simplify im into im 6.551 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.551 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.551 * [backup-simplify]: Simplify (+ 1 0) into 1 6.552 * [backup-simplify]: Simplify (sqrt 1) into 1 6.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.553 * [backup-simplify]: Simplify (+ 0 0) into 0 6.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.553 * [taylor]: Taking taylor expansion of 1 in im 6.553 * [backup-simplify]: Simplify 1 into 1 6.553 * [taylor]: Taking taylor expansion of 0 in im 6.553 * [backup-simplify]: Simplify 0 into 0 6.554 * [backup-simplify]: Simplify 1 into 1 6.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.555 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.556 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.556 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.556 * [taylor]: Taking taylor expansion of 1/2 in im 6.556 * [backup-simplify]: Simplify 1/2 into 1/2 6.556 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.556 * [taylor]: Taking taylor expansion of im in im 6.556 * [backup-simplify]: Simplify 0 into 0 6.556 * [backup-simplify]: Simplify 1 into 1 6.556 * [backup-simplify]: Simplify (* 1 1) into 1 6.556 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.557 * [backup-simplify]: Simplify 0 into 0 6.557 * [backup-simplify]: Simplify 0 into 0 6.557 * [backup-simplify]: Simplify 0 into 0 6.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.559 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.559 * [backup-simplify]: Simplify (+ 0 0) into 0 6.559 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.560 * [taylor]: Taking taylor expansion of 0 in im 6.560 * [backup-simplify]: Simplify 0 into 0 6.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.561 * [backup-simplify]: Simplify 0 into 0 6.561 * [backup-simplify]: Simplify 0 into 0 6.561 * [backup-simplify]: Simplify 0 into 0 6.561 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.561 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.561 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.561 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.561 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.561 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.561 * [taylor]: Taking taylor expansion of re in im 6.561 * [backup-simplify]: Simplify re into re 6.561 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.561 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.561 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.561 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.561 * [taylor]: Taking taylor expansion of im in im 6.561 * [backup-simplify]: Simplify 0 into 0 6.561 * [backup-simplify]: Simplify 1 into 1 6.562 * [backup-simplify]: Simplify (* 1 1) into 1 6.562 * [backup-simplify]: Simplify (/ 1 1) into 1 6.562 * [backup-simplify]: Simplify (+ 0 1) into 1 6.563 * [backup-simplify]: Simplify (sqrt 1) into 1 6.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.565 * [backup-simplify]: Simplify (+ 0 0) into 0 6.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.566 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.566 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.566 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.566 * [taylor]: Taking taylor expansion of re in re 6.566 * [backup-simplify]: Simplify 0 into 0 6.566 * [backup-simplify]: Simplify 1 into 1 6.566 * [backup-simplify]: Simplify (* 1 1) into 1 6.567 * [backup-simplify]: Simplify (/ 1 1) into 1 6.567 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.567 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.567 * [taylor]: Taking taylor expansion of im in re 6.567 * [backup-simplify]: Simplify im into im 6.567 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.567 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.568 * [backup-simplify]: Simplify (+ 1 0) into 1 6.568 * [backup-simplify]: Simplify (sqrt 1) into 1 6.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.570 * [backup-simplify]: Simplify (+ 0 0) into 0 6.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.571 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.571 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.571 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.571 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.571 * [taylor]: Taking taylor expansion of re in re 6.571 * [backup-simplify]: Simplify 0 into 0 6.571 * [backup-simplify]: Simplify 1 into 1 6.571 * [backup-simplify]: Simplify (* 1 1) into 1 6.572 * [backup-simplify]: Simplify (/ 1 1) into 1 6.572 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.572 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.572 * [taylor]: Taking taylor expansion of im in re 6.572 * [backup-simplify]: Simplify im into im 6.572 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.572 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.573 * [backup-simplify]: Simplify (+ 1 0) into 1 6.573 * [backup-simplify]: Simplify (sqrt 1) into 1 6.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.575 * [backup-simplify]: Simplify (+ 0 0) into 0 6.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.576 * [taylor]: Taking taylor expansion of 1 in im 6.576 * [backup-simplify]: Simplify 1 into 1 6.576 * [taylor]: Taking taylor expansion of 0 in im 6.576 * [backup-simplify]: Simplify 0 into 0 6.576 * [backup-simplify]: Simplify 1 into 1 6.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.583 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.585 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.585 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.585 * [taylor]: Taking taylor expansion of 1/2 in im 6.585 * [backup-simplify]: Simplify 1/2 into 1/2 6.585 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.585 * [taylor]: Taking taylor expansion of im in im 6.585 * [backup-simplify]: Simplify 0 into 0 6.585 * [backup-simplify]: Simplify 1 into 1 6.586 * [backup-simplify]: Simplify (* 1 1) into 1 6.586 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.588 * [backup-simplify]: Simplify 0 into 0 6.588 * [backup-simplify]: Simplify 0 into 0 6.588 * [backup-simplify]: Simplify 0 into 0 6.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.590 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.591 * [backup-simplify]: Simplify (+ 0 0) into 0 6.591 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.591 * [taylor]: Taking taylor expansion of 0 in im 6.591 * [backup-simplify]: Simplify 0 into 0 6.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.593 * [backup-simplify]: Simplify 0 into 0 6.593 * [backup-simplify]: Simplify 0 into 0 6.593 * [backup-simplify]: Simplify 0 into 0 6.593 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.593 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 6.594 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 6.594 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 6.594 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 6.594 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.594 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.594 * [taylor]: Taking taylor expansion of im in im 6.594 * [backup-simplify]: Simplify 0 into 0 6.594 * [backup-simplify]: Simplify 1 into 1 6.594 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.594 * [taylor]: Taking taylor expansion of re in im 6.594 * [backup-simplify]: Simplify re into re 6.594 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.594 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.594 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.594 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.595 * [backup-simplify]: Simplify (+ 0 0) into 0 6.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.595 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.595 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.595 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.595 * [taylor]: Taking taylor expansion of im in re 6.595 * [backup-simplify]: Simplify im into im 6.595 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.595 * [taylor]: Taking taylor expansion of re in re 6.595 * [backup-simplify]: Simplify 0 into 0 6.595 * [backup-simplify]: Simplify 1 into 1 6.595 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.595 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.595 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.595 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.596 * [backup-simplify]: Simplify (+ 0 0) into 0 6.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.596 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.596 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.596 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.596 * [taylor]: Taking taylor expansion of im in re 6.596 * [backup-simplify]: Simplify im into im 6.596 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.596 * [taylor]: Taking taylor expansion of re in re 6.596 * [backup-simplify]: Simplify 0 into 0 6.596 * [backup-simplify]: Simplify 1 into 1 6.596 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.596 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.596 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.596 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.597 * [backup-simplify]: Simplify (+ 0 0) into 0 6.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.597 * [taylor]: Taking taylor expansion of im in im 6.597 * [backup-simplify]: Simplify 0 into 0 6.597 * [backup-simplify]: Simplify 1 into 1 6.597 * [backup-simplify]: Simplify 0 into 0 6.597 * [taylor]: Taking taylor expansion of 0 in im 6.597 * [backup-simplify]: Simplify 0 into 0 6.597 * [backup-simplify]: Simplify 0 into 0 6.597 * [backup-simplify]: Simplify 1 into 1 6.598 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.598 * [backup-simplify]: Simplify (* 1 1) into 1 6.599 * [backup-simplify]: Simplify (+ 0 1) into 1 6.599 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.599 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.599 * [taylor]: Taking taylor expansion of 1/2 in im 6.599 * [backup-simplify]: Simplify 1/2 into 1/2 6.600 * [taylor]: Taking taylor expansion of im in im 6.600 * [backup-simplify]: Simplify 0 into 0 6.600 * [backup-simplify]: Simplify 1 into 1 6.600 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.601 * [backup-simplify]: Simplify 0 into 0 6.601 * [backup-simplify]: Simplify 0 into 0 6.601 * [backup-simplify]: Simplify 0 into 0 6.602 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.603 * [backup-simplify]: Simplify (+ 0 0) into 0 6.603 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.603 * [taylor]: Taking taylor expansion of 0 in im 6.603 * [backup-simplify]: Simplify 0 into 0 6.603 * [backup-simplify]: Simplify 0 into 0 6.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.604 * [backup-simplify]: Simplify 0 into 0 6.604 * [backup-simplify]: Simplify 0 into 0 6.604 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.604 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.604 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.604 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.604 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.604 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.604 * [taylor]: Taking taylor expansion of re in im 6.604 * [backup-simplify]: Simplify re into re 6.605 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.605 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.605 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.605 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.605 * [taylor]: Taking taylor expansion of im in im 6.605 * [backup-simplify]: Simplify 0 into 0 6.605 * [backup-simplify]: Simplify 1 into 1 6.605 * [backup-simplify]: Simplify (* 1 1) into 1 6.605 * [backup-simplify]: Simplify (/ 1 1) into 1 6.606 * [backup-simplify]: Simplify (+ 0 1) into 1 6.606 * [backup-simplify]: Simplify (sqrt 1) into 1 6.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.608 * [backup-simplify]: Simplify (+ 0 0) into 0 6.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.609 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.609 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.609 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.609 * [taylor]: Taking taylor expansion of re in re 6.609 * [backup-simplify]: Simplify 0 into 0 6.609 * [backup-simplify]: Simplify 1 into 1 6.609 * [backup-simplify]: Simplify (* 1 1) into 1 6.610 * [backup-simplify]: Simplify (/ 1 1) into 1 6.610 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.610 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.610 * [taylor]: Taking taylor expansion of im in re 6.610 * [backup-simplify]: Simplify im into im 6.610 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.610 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.610 * [backup-simplify]: Simplify (+ 1 0) into 1 6.611 * [backup-simplify]: Simplify (sqrt 1) into 1 6.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.612 * [backup-simplify]: Simplify (+ 0 0) into 0 6.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.613 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.613 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.613 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.613 * [taylor]: Taking taylor expansion of re in re 6.613 * [backup-simplify]: Simplify 0 into 0 6.613 * [backup-simplify]: Simplify 1 into 1 6.613 * [backup-simplify]: Simplify (* 1 1) into 1 6.614 * [backup-simplify]: Simplify (/ 1 1) into 1 6.614 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.614 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.614 * [taylor]: Taking taylor expansion of im in re 6.614 * [backup-simplify]: Simplify im into im 6.614 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.614 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.614 * [backup-simplify]: Simplify (+ 1 0) into 1 6.615 * [backup-simplify]: Simplify (sqrt 1) into 1 6.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.616 * [backup-simplify]: Simplify (+ 0 0) into 0 6.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.617 * [taylor]: Taking taylor expansion of 1 in im 6.617 * [backup-simplify]: Simplify 1 into 1 6.617 * [taylor]: Taking taylor expansion of 0 in im 6.617 * [backup-simplify]: Simplify 0 into 0 6.617 * [backup-simplify]: Simplify 1 into 1 6.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.619 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.620 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.620 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.620 * [taylor]: Taking taylor expansion of 1/2 in im 6.620 * [backup-simplify]: Simplify 1/2 into 1/2 6.620 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.620 * [taylor]: Taking taylor expansion of im in im 6.620 * [backup-simplify]: Simplify 0 into 0 6.620 * [backup-simplify]: Simplify 1 into 1 6.621 * [backup-simplify]: Simplify (* 1 1) into 1 6.621 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.623 * [backup-simplify]: Simplify 0 into 0 6.623 * [backup-simplify]: Simplify 0 into 0 6.623 * [backup-simplify]: Simplify 0 into 0 6.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.625 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.626 * [backup-simplify]: Simplify (+ 0 0) into 0 6.626 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.627 * [taylor]: Taking taylor expansion of 0 in im 6.627 * [backup-simplify]: Simplify 0 into 0 6.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.629 * [backup-simplify]: Simplify 0 into 0 6.629 * [backup-simplify]: Simplify 0 into 0 6.629 * [backup-simplify]: Simplify 0 into 0 6.629 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.629 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.629 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.629 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.629 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.629 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.629 * [taylor]: Taking taylor expansion of re in im 6.629 * [backup-simplify]: Simplify re into re 6.629 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.629 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.630 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.630 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.630 * [taylor]: Taking taylor expansion of im in im 6.630 * [backup-simplify]: Simplify 0 into 0 6.630 * [backup-simplify]: Simplify 1 into 1 6.630 * [backup-simplify]: Simplify (* 1 1) into 1 6.630 * [backup-simplify]: Simplify (/ 1 1) into 1 6.631 * [backup-simplify]: Simplify (+ 0 1) into 1 6.631 * [backup-simplify]: Simplify (sqrt 1) into 1 6.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.633 * [backup-simplify]: Simplify (+ 0 0) into 0 6.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.634 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.634 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.634 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.634 * [taylor]: Taking taylor expansion of re in re 6.634 * [backup-simplify]: Simplify 0 into 0 6.634 * [backup-simplify]: Simplify 1 into 1 6.634 * [backup-simplify]: Simplify (* 1 1) into 1 6.635 * [backup-simplify]: Simplify (/ 1 1) into 1 6.635 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.635 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.635 * [taylor]: Taking taylor expansion of im in re 6.635 * [backup-simplify]: Simplify im into im 6.635 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.635 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.635 * [backup-simplify]: Simplify (+ 1 0) into 1 6.636 * [backup-simplify]: Simplify (sqrt 1) into 1 6.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.638 * [backup-simplify]: Simplify (+ 0 0) into 0 6.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.639 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.639 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.639 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.639 * [taylor]: Taking taylor expansion of re in re 6.639 * [backup-simplify]: Simplify 0 into 0 6.639 * [backup-simplify]: Simplify 1 into 1 6.639 * [backup-simplify]: Simplify (* 1 1) into 1 6.640 * [backup-simplify]: Simplify (/ 1 1) into 1 6.640 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.640 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.640 * [taylor]: Taking taylor expansion of im in re 6.640 * [backup-simplify]: Simplify im into im 6.640 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.640 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.640 * [backup-simplify]: Simplify (+ 1 0) into 1 6.641 * [backup-simplify]: Simplify (sqrt 1) into 1 6.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.643 * [backup-simplify]: Simplify (+ 0 0) into 0 6.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.643 * [taylor]: Taking taylor expansion of 1 in im 6.643 * [backup-simplify]: Simplify 1 into 1 6.643 * [taylor]: Taking taylor expansion of 0 in im 6.643 * [backup-simplify]: Simplify 0 into 0 6.644 * [backup-simplify]: Simplify 1 into 1 6.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.645 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.645 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.645 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.645 * [taylor]: Taking taylor expansion of 1/2 in im 6.646 * [backup-simplify]: Simplify 1/2 into 1/2 6.646 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.646 * [taylor]: Taking taylor expansion of im in im 6.646 * [backup-simplify]: Simplify 0 into 0 6.646 * [backup-simplify]: Simplify 1 into 1 6.646 * [backup-simplify]: Simplify (* 1 1) into 1 6.646 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.647 * [backup-simplify]: Simplify 0 into 0 6.647 * [backup-simplify]: Simplify 0 into 0 6.647 * [backup-simplify]: Simplify 0 into 0 6.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.648 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.649 * [backup-simplify]: Simplify (+ 0 0) into 0 6.649 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.649 * [taylor]: Taking taylor expansion of 0 in im 6.649 * [backup-simplify]: Simplify 0 into 0 6.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.650 * [backup-simplify]: Simplify 0 into 0 6.650 * [backup-simplify]: Simplify 0 into 0 6.650 * [backup-simplify]: Simplify 0 into 0 6.650 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.650 * * * [progress]: simplifying candidates 6.650 * * * * [progress]: [ 1 / 76 ] simplifiying candidate # 6.650 * * * * [progress]: [ 2 / 76 ] simplifiying candidate # 6.650 * * * * [progress]: [ 3 / 76 ] simplifiying candidate # 6.650 * * * * [progress]: [ 4 / 76 ] simplifiying candidate # 6.651 * * * * [progress]: [ 5 / 76 ] simplifiying candidate # 6.651 * * * * [progress]: [ 6 / 76 ] simplifiying candidate # 6.651 * * * * [progress]: [ 7 / 76 ] simplifiying candidate # 6.651 * * * * [progress]: [ 8 / 76 ] simplifiying candidate # 6.651 * * * * [progress]: [ 9 / 76 ] simplifiying candidate # 6.651 * * * * [progress]: [ 10 / 76 ] simplifiying candidate # 6.651 * * * * [progress]: [ 11 / 76 ] simplifiying candidate # 6.651 * * * * [progress]: [ 12 / 76 ] simplifiying candidate # 6.651 * * * * [progress]: [ 13 / 76 ] simplifiying candidate # 6.651 * * * * [progress]: [ 14 / 76 ] simplifiying candidate # 6.651 * * * * [progress]: [ 15 / 76 ] simplifiying candidate # 6.651 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))))))))> 6.651 * * * * [progress]: [ 17 / 76 ] simplifiying candidate # 6.651 * * * * [progress]: [ 18 / 76 ] simplifiying candidate # 6.651 * * * * [progress]: [ 19 / 76 ] simplifiying candidate # 6.651 * * * * [progress]: [ 20 / 76 ] simplifiying candidate # 6.651 * * * * [progress]: [ 21 / 76 ] simplifiying candidate # 6.651 * * * * [progress]: [ 22 / 76 ] simplifiying candidate # 6.651 * * * * [progress]: [ 23 / 76 ] simplifiying candidate # 6.651 * * * * [progress]: [ 24 / 76 ] simplifiying candidate # 6.651 * * * * [progress]: [ 25 / 76 ] simplifiying candidate # 6.651 * * * * [progress]: [ 26 / 76 ] simplifiying candidate # 6.652 * * * * [progress]: [ 27 / 76 ] simplifiying candidate # 6.652 * * * * [progress]: [ 28 / 76 ] simplifiying candidate # 6.652 * * * * [progress]: [ 29 / 76 ] simplifiying candidate # 6.652 * * * * [progress]: [ 30 / 76 ] simplifiying candidate # 6.652 * * * * [progress]: [ 31 / 76 ] simplifiying candidate # 6.652 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))))))) (cbrt (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))))))> 6.652 * * * * [progress]: [ 33 / 76 ] simplifiying candidate # 6.652 * * * * [progress]: [ 34 / 76 ] simplifiying candidate # 6.652 * * * * [progress]: [ 35 / 76 ] simplifiying candidate # 6.652 * * * * [progress]: [ 36 / 76 ] simplifiying candidate # 6.652 * * * * [progress]: [ 37 / 76 ] simplifiying candidate # 6.652 * * * * [progress]: [ 38 / 76 ] simplifiying candidate # 6.652 * * * * [progress]: [ 39 / 76 ] simplifiying candidate # 6.652 * * * * [progress]: [ 40 / 76 ] simplifiying candidate # 6.652 * * * * [progress]: [ 41 / 76 ] simplifiying candidate # 6.652 * * * * [progress]: [ 42 / 76 ] simplifiying candidate # 6.652 * * * * [progress]: [ 43 / 76 ] simplifiying candidate # 6.652 * * * * [progress]: [ 44 / 76 ] simplifiying candidate # 6.652 * * * * [progress]: [ 45 / 76 ] simplifiying candidate # 6.652 * * * * [progress]: [ 46 / 76 ] simplifiying candidate # 6.652 * * * * [progress]: [ 47 / 76 ] simplifiying candidate # 6.652 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))))) (cbrt (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))))) (cbrt (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))))))> 6.653 * * * * [progress]: [ 49 / 76 ] simplifiying candidate # 6.653 * * * * [progress]: [ 50 / 76 ] simplifiying candidate # 6.653 * * * * [progress]: [ 51 / 76 ] simplifiying candidate # 6.653 * * * * [progress]: [ 52 / 76 ] simplifiying candidate # 6.653 * * * * [progress]: [ 53 / 76 ] simplifiying candidate # 6.653 * * * * [progress]: [ 54 / 76 ] simplifiying candidate # 6.653 * * * * [progress]: [ 55 / 76 ] simplifiying candidate # 6.653 * * * * [progress]: [ 56 / 76 ] simplifiying candidate # 6.653 * * * * [progress]: [ 57 / 76 ] simplifiying candidate # 6.653 * * * * [progress]: [ 58 / 76 ] simplifiying candidate # 6.653 * * * * [progress]: [ 59 / 76 ] simplifiying candidate # 6.653 * * * * [progress]: [ 60 / 76 ] simplifiying candidate # 6.653 * * * * [progress]: [ 61 / 76 ] simplifiying candidate # 6.653 * * * * [progress]: [ 62 / 76 ] simplifiying candidate # 6.653 * * * * [progress]: [ 63 / 76 ] simplifiying candidate # 6.653 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (* (* (cbrt (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))))) (cbrt (exp (log (cbrt (sqrt (+ (* re re) (* im im))))))))))> 6.653 * * * * [progress]: [ 65 / 76 ] simplifiying candidate # 6.653 * * * * [progress]: [ 66 / 76 ] simplifiying candidate # 6.653 * * * * [progress]: [ 67 / 76 ] simplifiying candidate # 6.653 * * * * [progress]: [ 68 / 76 ] simplifiying candidate # 6.653 * * * * [progress]: [ 69 / 76 ] simplifiying candidate # 6.653 * * * * [progress]: [ 70 / 76 ] simplifiying candidate # 6.653 * * * * [progress]: [ 71 / 76 ] simplifiying candidate # 6.653 * * * * [progress]: [ 72 / 76 ] simplifiying candidate # 6.653 * * * * [progress]: [ 73 / 76 ] simplifiying candidate # 6.654 * * * * [progress]: [ 74 / 76 ] simplifiying candidate # 6.654 * * * * [progress]: [ 75 / 76 ] simplifiying candidate # 6.654 * * * * [progress]: [ 76 / 76 ] simplifiying candidate # 6.654 * [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)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 6.655 * * [simplify]: iteration 1: (39 enodes) 6.663 * * [simplify]: iteration 2: (92 enodes) 6.691 * * [simplify]: iteration 3: (196 enodes) 6.791 * * [simplify]: iteration 4: (437 enodes) 7.037 * * [simplify]: iteration 5: (990 enodes) 7.756 * * [simplify]: Extracting #0: cost 19 inf + 0 7.756 * * [simplify]: Extracting #1: cost 27 inf + 4 7.757 * * [simplify]: Extracting #2: cost 175 inf + 47 7.759 * * [simplify]: Extracting #3: cost 532 inf + 3549 7.773 * * [simplify]: Extracting #4: cost 374 inf + 50072 7.812 * * [simplify]: Extracting #5: cost 100 inf + 116823 7.844 * * [simplify]: Extracting #6: cost 11 inf + 151976 7.887 * * [simplify]: Extracting #7: cost 0 inf + 157931 7.920 * [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 (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im)))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* 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 (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im)))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* 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 (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im)))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* 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 (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im)))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) im re (- re) im re (- re) im re (- re) im re (- re) 7.932 * * * [progress]: adding candidates to table 9.219 * [progress]: [Phase 3 of 3] Extracting. 9.219 * * [regime]: Finding splitpoints for: (# # # # # #) 9.222 * * * [regime-changes]: Trying 6 branch expressions: (im (* im im) re (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) 9.222 * * * * [regimes]: Trying to branch on im from (# # # # # #) 9.269 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # #) 9.321 * * * * [regimes]: Trying to branch on (* im im) from (# # # # #) 9.344 * * * * [regimes]: Trying to branch on re from (# # # # # #) 9.392 * * * * [regimes]: Trying to branch on (* re re) from (# # # # # #) 9.438 * * * * [regimes]: Trying to branch on (* re re) from (# # # #) 9.479 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # # # #) 9.553 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # #) 9.596 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # # # #) 9.647 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # #) 9.675 * * * [regime]: Found split indices: #