2.408 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.029 * [simplify]: Sending expressions to egg_math: (* h3 (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) 0.030 * * [simplify]: iteration 0 : 17 enodes (cost 8 ) 0.032 * * [simplify]: iteration 1 : 24 enodes (cost 8 ) 0.033 * * [simplify]: iteration 2 : 30 enodes (cost 8 ) 0.034 * * [simplify]: iteration 3 : 35 enodes (cost 8 ) 0.035 * * [simplify]: iteration 4 : 35 enodes (cost 8 ) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.049 * * * [progress]: generating rewritten candidates 0.049 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 1) 0.056 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2) 0.099 * * * [progress]: generating series expansions 0.099 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 1) 0.099 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.099 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.099 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.099 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.099 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.099 * [taylor]: Taking taylor expansion of re in im 0.099 * [backup-simplify]: Simplify re into re 0.100 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.100 * [taylor]: Taking taylor expansion of im in im 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.100 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.100 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.100 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.101 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.101 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.101 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.101 * [taylor]: Taking taylor expansion of re in re 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.101 * [taylor]: Taking taylor expansion of im in re 0.101 * [backup-simplify]: Simplify im into im 0.101 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.101 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.101 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.101 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.101 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.101 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.102 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.102 * [taylor]: Taking taylor expansion of re in re 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.102 * [taylor]: Taking taylor expansion of im in re 0.102 * [backup-simplify]: Simplify im into im 0.102 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.102 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.102 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.102 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.102 * [taylor]: Taking taylor expansion of im in im 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [taylor]: Taking taylor expansion of 0 in im 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (* 1 1) into 1 0.103 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.104 * [backup-simplify]: Simplify (+ 1 0) into 1 0.104 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.104 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.104 * [taylor]: Taking taylor expansion of 1/2 in im 0.104 * [backup-simplify]: Simplify 1/2 into 1/2 0.104 * [taylor]: Taking taylor expansion of im in im 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.106 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.106 * [taylor]: Taking taylor expansion of 0 in im 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.107 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.107 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.107 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.107 * [taylor]: Taking taylor expansion of im in im 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (* 1 1) into 1 0.108 * [backup-simplify]: Simplify (/ 1 1) into 1 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.108 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.108 * [taylor]: Taking taylor expansion of re in im 0.108 * [backup-simplify]: Simplify re into re 0.108 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.108 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.108 * [backup-simplify]: Simplify (+ 1 0) into 1 0.109 * [backup-simplify]: Simplify (sqrt 1) into 1 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.110 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.110 * [taylor]: Taking taylor expansion of im in re 0.110 * [backup-simplify]: Simplify im into im 0.110 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.110 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.110 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.110 * [taylor]: Taking taylor expansion of re in re 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (* 1 1) into 1 0.111 * [backup-simplify]: Simplify (/ 1 1) into 1 0.111 * [backup-simplify]: Simplify (+ 0 1) into 1 0.111 * [backup-simplify]: Simplify (sqrt 1) into 1 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.113 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.113 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.113 * [taylor]: Taking taylor expansion of im in re 0.113 * [backup-simplify]: Simplify im into im 0.113 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.113 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.113 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.113 * [taylor]: Taking taylor expansion of re in re 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (* 1 1) into 1 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.114 * [backup-simplify]: Simplify (+ 0 1) into 1 0.114 * [backup-simplify]: Simplify (sqrt 1) into 1 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.115 * [taylor]: Taking taylor expansion of 1 in im 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [taylor]: Taking taylor expansion of 0 in im 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.117 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.117 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.117 * [taylor]: Taking taylor expansion of 1/2 in im 0.117 * [backup-simplify]: Simplify 1/2 into 1/2 0.117 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.117 * [taylor]: Taking taylor expansion of im in im 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 (/ 1/2 1) into 1/2 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.121 * [taylor]: Taking taylor expansion of 0 in im 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.122 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.122 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.122 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.122 * [taylor]: Taking taylor expansion of im in im 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (* 1 1) into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.123 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.123 * [taylor]: Taking taylor expansion of re in im 0.123 * [backup-simplify]: Simplify re into re 0.123 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.123 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.123 * [backup-simplify]: Simplify (+ 1 0) into 1 0.123 * [backup-simplify]: Simplify (sqrt 1) into 1 0.124 * [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 (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.125 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.125 * [taylor]: Taking taylor expansion of im in re 0.125 * [backup-simplify]: Simplify im into im 0.125 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.125 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.125 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.125 * [taylor]: Taking taylor expansion of re in re 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (* 1 1) into 1 0.125 * [backup-simplify]: Simplify (/ 1 1) into 1 0.126 * [backup-simplify]: Simplify (+ 0 1) into 1 0.126 * [backup-simplify]: Simplify (sqrt 1) into 1 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.127 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.127 * [taylor]: Taking taylor expansion of im in re 0.127 * [backup-simplify]: Simplify im into im 0.127 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.128 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.128 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.128 * [taylor]: Taking taylor expansion of re in re 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (* 1 1) into 1 0.128 * [backup-simplify]: Simplify (/ 1 1) into 1 0.128 * [backup-simplify]: Simplify (+ 0 1) into 1 0.129 * [backup-simplify]: Simplify (sqrt 1) into 1 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.130 * [taylor]: Taking taylor expansion of 1 in im 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [taylor]: Taking taylor expansion of 0 in im 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.132 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.132 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.132 * [taylor]: Taking taylor expansion of 1/2 in im 0.132 * [backup-simplify]: Simplify 1/2 into 1/2 0.132 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.132 * [taylor]: Taking taylor expansion of im in im 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (* 1 1) into 1 0.133 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.135 * [taylor]: Taking taylor expansion of 0 in im 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.137 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2) 0.137 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.137 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.137 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.137 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.137 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.137 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.137 * [taylor]: Taking taylor expansion of re in im 0.137 * [backup-simplify]: Simplify re into re 0.137 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.137 * [taylor]: Taking taylor expansion of im in im 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.137 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.137 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.137 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.138 * [taylor]: Taking taylor expansion of re in im 0.138 * [backup-simplify]: Simplify re into re 0.138 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.138 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.138 * [taylor]: Taking taylor expansion of re in re 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.138 * [taylor]: Taking taylor expansion of im in re 0.138 * [backup-simplify]: Simplify im into im 0.138 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.138 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.138 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.138 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.138 * [taylor]: Taking taylor expansion of re in re 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.138 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.138 * [taylor]: Taking taylor expansion of re in re 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.138 * [taylor]: Taking taylor expansion of im in re 0.139 * [backup-simplify]: Simplify im into im 0.139 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.139 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.139 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.139 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.139 * [taylor]: Taking taylor expansion of re in re 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (- 0) into 0 0.139 * [backup-simplify]: Simplify (+ im 0) into im 0.139 * [taylor]: Taking taylor expansion of im in im 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (- 1) into -1 0.140 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.140 * [taylor]: Taking taylor expansion of -1 in im 0.140 * [backup-simplify]: Simplify -1 into -1 0.140 * [backup-simplify]: Simplify -1 into -1 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (* 1 1) into 1 0.141 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.141 * [backup-simplify]: Simplify (+ 1 0) into 1 0.141 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.141 * [backup-simplify]: Simplify (- 0) into 0 0.141 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.141 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.142 * [taylor]: Taking taylor expansion of 1/2 in im 0.142 * [backup-simplify]: Simplify 1/2 into 1/2 0.142 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.142 * [taylor]: Taking taylor expansion of im in im 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.144 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [taylor]: Taking taylor expansion of 0 in im 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.146 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 0.146 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.146 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.146 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.146 * [taylor]: Taking taylor expansion of im in im 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (* 1 1) into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.146 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.146 * [taylor]: Taking taylor expansion of re in im 0.146 * [backup-simplify]: Simplify re into re 0.146 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.147 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.147 * [backup-simplify]: Simplify (+ 1 0) into 1 0.147 * [backup-simplify]: Simplify (sqrt 1) into 1 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.148 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.148 * [taylor]: Taking taylor expansion of re in im 0.148 * [backup-simplify]: Simplify re into re 0.148 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.148 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.148 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.149 * [taylor]: Taking taylor expansion of im in re 0.149 * [backup-simplify]: Simplify im into im 0.149 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.149 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.149 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.149 * [taylor]: Taking taylor expansion of re in re 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (* 1 1) into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [backup-simplify]: Simplify (+ 0 1) into 1 0.150 * [backup-simplify]: Simplify (sqrt 1) into 1 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.151 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.151 * [taylor]: Taking taylor expansion of re in re 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.151 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.151 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.151 * [taylor]: Taking taylor expansion of im in re 0.151 * [backup-simplify]: Simplify im into im 0.151 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.152 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.152 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.152 * [taylor]: Taking taylor expansion of re in re 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [backup-simplify]: Simplify (+ 0 1) into 1 0.153 * [backup-simplify]: Simplify (sqrt 1) into 1 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.154 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.154 * [taylor]: Taking taylor expansion of re in re 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (/ 1 1) into 1 0.154 * [backup-simplify]: Simplify (- 1) into -1 0.155 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.155 * [taylor]: Taking taylor expansion of 0 in im 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (- 0) into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [taylor]: Taking taylor expansion of 0 in im 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.157 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (- 0) into 0 0.158 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.158 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.158 * [taylor]: Taking taylor expansion of 1/2 in im 0.158 * [backup-simplify]: Simplify 1/2 into 1/2 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.158 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.158 * [taylor]: Taking taylor expansion of im in im 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (* 1 1) into 1 0.159 * [backup-simplify]: Simplify (/ 1 1) into 1 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (- 0) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [taylor]: Taking taylor expansion of 0 in im 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 0.168 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.168 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.168 * [taylor]: Taking taylor expansion of re in im 0.168 * [backup-simplify]: Simplify re into re 0.168 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.168 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.168 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.168 * [taylor]: Taking taylor expansion of im in im 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (* 1 1) into 1 0.168 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.168 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.168 * [taylor]: Taking taylor expansion of re in im 0.168 * [backup-simplify]: Simplify re into re 0.168 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.169 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.169 * [backup-simplify]: Simplify (+ 1 0) into 1 0.169 * [backup-simplify]: Simplify (sqrt 1) into 1 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.170 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.170 * [taylor]: Taking taylor expansion of re in re 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.171 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.171 * [taylor]: Taking taylor expansion of im in re 0.171 * [backup-simplify]: Simplify im into im 0.171 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.171 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.171 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.171 * [taylor]: Taking taylor expansion of re in re 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (* 1 1) into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.172 * [backup-simplify]: Simplify (+ 0 1) into 1 0.172 * [backup-simplify]: Simplify (sqrt 1) into 1 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.173 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.173 * [taylor]: Taking taylor expansion of re in re 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.174 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.174 * [taylor]: Taking taylor expansion of im in re 0.174 * [backup-simplify]: Simplify im into im 0.174 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.174 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.174 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.174 * [taylor]: Taking taylor expansion of re in re 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (* 1 1) into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [backup-simplify]: Simplify (+ 0 1) into 1 0.175 * [backup-simplify]: Simplify (sqrt 1) into 1 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.176 * [backup-simplify]: Simplify (+ 1 1) into 2 0.176 * [taylor]: Taking taylor expansion of 2 in im 0.176 * [backup-simplify]: Simplify 2 into 2 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [taylor]: Taking taylor expansion of 0 in im 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 2 into 2 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.179 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.179 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.179 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.179 * [taylor]: Taking taylor expansion of 1/2 in im 0.180 * [backup-simplify]: Simplify 1/2 into 1/2 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.180 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.180 * [taylor]: Taking taylor expansion of im in im 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (* 1 1) into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [taylor]: Taking taylor expansion of 0 in im 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.185 * * * [progress]: simplifying candidates 0.186 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) im re (* -1 re) (- im re) 0 (* -2 re) 0.186 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1)) (log (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (exp (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (* (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)) (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (+ (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (- h1) (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- h1) h0 h1 (* -1 h1) (- h0 h1) 0 (* -2 h1) 0.189 * * [simplify]: iteration 0 : 135 enodes (cost 228 ) 0.192 * * [simplify]: iteration 1 : 332 enodes (cost 216 ) 0.197 * * [simplify]: iteration 2 : 839 enodes (cost 212 ) 0.213 * * [simplify]: iteration 3 : 2503 enodes (cost 211 ) 0.262 * * [simplify]: iteration 4 : 5002 enodes (cost 210 ) 0.264 * * * [progress]: adding candidates to table 0.354 * * [progress]: iteration 2 / 4 0.355 * * * [progress]: picking best candidate 0.362 * * * * [pick]: Picked # 0.363 * * * [progress]: localizing error 0.374 * * * [progress]: generating rewritten candidates 0.375 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 0.382 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.427 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.455 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 0.486 * * * [progress]: generating series expansions 0.486 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 0.487 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.487 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.487 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.487 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.487 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.487 * [taylor]: Taking taylor expansion of re in im 0.487 * [backup-simplify]: Simplify re into re 0.487 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.487 * [taylor]: Taking taylor expansion of im in im 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.487 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.487 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.487 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.488 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.488 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.488 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.488 * [taylor]: Taking taylor expansion of re in re 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.488 * [taylor]: Taking taylor expansion of im in re 0.488 * [backup-simplify]: Simplify im into im 0.488 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.488 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.488 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.488 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.488 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.488 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.488 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.488 * [taylor]: Taking taylor expansion of re in re 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.488 * [taylor]: Taking taylor expansion of im in re 0.488 * [backup-simplify]: Simplify im into im 0.488 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.489 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.489 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.489 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.489 * [taylor]: Taking taylor expansion of im in im 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [taylor]: Taking taylor expansion of 0 in im 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [backup-simplify]: Simplify (* 1 1) into 1 0.490 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.490 * [backup-simplify]: Simplify (+ 1 0) into 1 0.490 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.490 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.490 * [taylor]: Taking taylor expansion of 1/2 in im 0.490 * [backup-simplify]: Simplify 1/2 into 1/2 0.490 * [taylor]: Taking taylor expansion of im in im 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.491 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.492 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.492 * [backup-simplify]: Simplify (+ 0 0) into 0 0.492 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.492 * [taylor]: Taking taylor expansion of 0 in im 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.493 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.493 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.493 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.493 * [taylor]: Taking taylor expansion of im in im 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.494 * [backup-simplify]: Simplify (* 1 1) into 1 0.494 * [backup-simplify]: Simplify (/ 1 1) into 1 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.494 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.494 * [taylor]: Taking taylor expansion of re in im 0.494 * [backup-simplify]: Simplify re into re 0.494 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.494 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.494 * [backup-simplify]: Simplify (+ 1 0) into 1 0.495 * [backup-simplify]: Simplify (sqrt 1) into 1 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.496 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.496 * [taylor]: Taking taylor expansion of im in re 0.496 * [backup-simplify]: Simplify im into im 0.496 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.496 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.496 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.496 * [taylor]: Taking taylor expansion of re in re 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.497 * [backup-simplify]: Simplify (+ 0 1) into 1 0.497 * [backup-simplify]: Simplify (sqrt 1) into 1 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.498 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.499 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.499 * [taylor]: Taking taylor expansion of im in re 0.499 * [backup-simplify]: Simplify im into im 0.499 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.499 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.499 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.499 * [taylor]: Taking taylor expansion of re in re 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (* 1 1) into 1 0.499 * [backup-simplify]: Simplify (/ 1 1) into 1 0.499 * [backup-simplify]: Simplify (+ 0 1) into 1 0.500 * [backup-simplify]: Simplify (sqrt 1) into 1 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (+ 0 0) into 0 0.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.501 * [taylor]: Taking taylor expansion of 1 in im 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [taylor]: Taking taylor expansion of 0 in im 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.503 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.503 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.503 * [taylor]: Taking taylor expansion of 1/2 in im 0.503 * [backup-simplify]: Simplify 1/2 into 1/2 0.503 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.503 * [taylor]: Taking taylor expansion of im in im 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify (* 1 1) into 1 0.504 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (+ 0 0) into 0 0.506 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.506 * [taylor]: Taking taylor expansion of 0 in im 0.506 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.508 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.508 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.508 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.508 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.508 * [taylor]: Taking taylor expansion of im in im 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (* 1 1) into 1 0.508 * [backup-simplify]: Simplify (/ 1 1) into 1 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.508 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.508 * [taylor]: Taking taylor expansion of re in im 0.508 * [backup-simplify]: Simplify re into re 0.508 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.508 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.509 * [backup-simplify]: Simplify (+ 1 0) into 1 0.509 * [backup-simplify]: Simplify (sqrt 1) into 1 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.510 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.510 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.510 * [taylor]: Taking taylor expansion of im in re 0.510 * [backup-simplify]: Simplify im into im 0.510 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.510 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.510 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.510 * [taylor]: Taking taylor expansion of re in re 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 1 into 1 0.511 * [backup-simplify]: Simplify (* 1 1) into 1 0.511 * [backup-simplify]: Simplify (/ 1 1) into 1 0.511 * [backup-simplify]: Simplify (+ 0 1) into 1 0.511 * [backup-simplify]: Simplify (sqrt 1) into 1 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (+ 0 0) into 0 0.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.513 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.513 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.513 * [taylor]: Taking taylor expansion of im in re 0.513 * [backup-simplify]: Simplify im into im 0.513 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.513 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.513 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.513 * [taylor]: Taking taylor expansion of re in re 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.513 * [backup-simplify]: Simplify (* 1 1) into 1 0.514 * [backup-simplify]: Simplify (/ 1 1) into 1 0.514 * [backup-simplify]: Simplify (+ 0 1) into 1 0.514 * [backup-simplify]: Simplify (sqrt 1) into 1 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (+ 0 0) into 0 0.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.515 * [taylor]: Taking taylor expansion of 1 in im 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [taylor]: Taking taylor expansion of 0 in im 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.517 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.518 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.518 * [taylor]: Taking taylor expansion of 1/2 in im 0.518 * [backup-simplify]: Simplify 1/2 into 1/2 0.518 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.518 * [taylor]: Taking taylor expansion of im in im 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 1 into 1 0.518 * [backup-simplify]: Simplify (* 1 1) into 1 0.518 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (+ 0 0) into 0 0.521 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.521 * [taylor]: Taking taylor expansion of 0 in im 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.522 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.522 * [backup-simplify]: Simplify (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)) into (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) 0.522 * [approximate]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in (im re) around 0 0.522 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.522 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.522 * [taylor]: Taking taylor expansion of im in re 0.522 * [backup-simplify]: Simplify im into im 0.522 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.522 * [taylor]: Taking taylor expansion of re in re 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.522 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.522 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.522 * [taylor]: Taking taylor expansion of re in re 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.522 * [taylor]: Taking taylor expansion of im in re 0.522 * [backup-simplify]: Simplify im into im 0.523 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.523 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.523 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.523 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.523 * [backup-simplify]: Simplify (+ 0 0) into 0 0.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.523 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.523 * [backup-simplify]: Simplify (+ 0 im) into im 0.523 * [backup-simplify]: Simplify (/ (pow im 2) im) into im 0.523 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.523 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.523 * [taylor]: Taking taylor expansion of im in im 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.523 * [taylor]: Taking taylor expansion of re in im 0.523 * [backup-simplify]: Simplify re into re 0.523 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.523 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.523 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.523 * [taylor]: Taking taylor expansion of re in im 0.523 * [backup-simplify]: Simplify re into re 0.523 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.523 * [taylor]: Taking taylor expansion of im in im 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 1 into 1 0.524 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.524 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.524 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.524 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.525 * [backup-simplify]: Simplify (* 1 1) into 1 0.525 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.525 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 0.525 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.525 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.525 * [taylor]: Taking taylor expansion of im in im 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.525 * [taylor]: Taking taylor expansion of re in im 0.525 * [backup-simplify]: Simplify re into re 0.525 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.525 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.525 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.525 * [taylor]: Taking taylor expansion of re in im 0.525 * [backup-simplify]: Simplify re into re 0.525 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.525 * [taylor]: Taking taylor expansion of im in im 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.525 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.525 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.525 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.525 * [backup-simplify]: Simplify (+ 0 0) into 0 0.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.526 * [backup-simplify]: Simplify (* 1 1) into 1 0.526 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.526 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 0.526 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 0.526 * [taylor]: Taking taylor expansion of 1/2 in re 0.526 * [backup-simplify]: Simplify 1/2 into 1/2 0.526 * [taylor]: Taking taylor expansion of re in re 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.527 * [backup-simplify]: Simplify (+ 0 0) into 0 0.527 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 0.527 * [taylor]: Taking taylor expansion of 0 in re 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.529 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.529 * [backup-simplify]: Simplify (* 1 1) into 1 0.529 * [backup-simplify]: Simplify (+ 0 1) into 1 0.530 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.530 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 0.530 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 0.530 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow re 3)))) in re 0.530 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow re 3))) in re 0.530 * [taylor]: Taking taylor expansion of 1/8 in re 0.530 * [backup-simplify]: Simplify 1/8 into 1/8 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 0.530 * [taylor]: Taking taylor expansion of (pow re 3) in re 0.530 * [taylor]: Taking taylor expansion of re in re 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 1 into 1 0.530 * [backup-simplify]: Simplify (* 1 1) into 1 0.531 * [backup-simplify]: Simplify (* 1 1) into 1 0.531 * [backup-simplify]: Simplify (/ 1 1) into 1 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (- 0) into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (/ (* (/ 1 im) (/ 1 im)) (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) into (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) 0.536 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in (im re) around 0 0.537 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in re 0.537 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in re 0.537 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.537 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.537 * [taylor]: Taking taylor expansion of re in re 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 1 into 1 0.537 * [backup-simplify]: Simplify (/ 1 1) into 1 0.537 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.537 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.537 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.537 * [taylor]: Taking taylor expansion of im in re 0.537 * [backup-simplify]: Simplify im into im 0.537 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.537 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.537 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.537 * [taylor]: Taking taylor expansion of re in re 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 1 into 1 0.537 * [backup-simplify]: Simplify (* 1 1) into 1 0.538 * [backup-simplify]: Simplify (/ 1 1) into 1 0.538 * [backup-simplify]: Simplify (+ 0 1) into 1 0.538 * [backup-simplify]: Simplify (sqrt 1) into 1 0.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (+ 0 0) into 0 0.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.539 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.539 * [taylor]: Taking taylor expansion of im in re 0.539 * [backup-simplify]: Simplify im into im 0.540 * [backup-simplify]: Simplify (+ 1 1) into 2 0.540 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.540 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2)) 0.540 * [backup-simplify]: Simplify (/ 1 (* 2 (pow im 2))) into (/ 1/2 (pow im 2)) 0.540 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 0.540 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 0.540 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.540 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.540 * [taylor]: Taking taylor expansion of re in im 0.540 * [backup-simplify]: Simplify re into re 0.540 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.540 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.540 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.540 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.540 * [taylor]: Taking taylor expansion of im in im 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (* 1 1) into 1 0.541 * [backup-simplify]: Simplify (/ 1 1) into 1 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.541 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.541 * [taylor]: Taking taylor expansion of re in im 0.541 * [backup-simplify]: Simplify re into re 0.541 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.541 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.541 * [backup-simplify]: Simplify (+ 1 0) into 1 0.541 * [backup-simplify]: Simplify (sqrt 1) into 1 0.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (+ 0 0) into 0 0.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.543 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.543 * [taylor]: Taking taylor expansion of im in im 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (+ 0 1) into 1 0.543 * [backup-simplify]: Simplify (* 1 1) into 1 0.543 * [backup-simplify]: Simplify (* 1 1) into 1 0.544 * [backup-simplify]: Simplify (/ 1 1) into 1 0.544 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 0.544 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 0.544 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.544 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.544 * [taylor]: Taking taylor expansion of re in im 0.544 * [backup-simplify]: Simplify re into re 0.544 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.544 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.544 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.544 * [taylor]: Taking taylor expansion of im in im 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (* 1 1) into 1 0.544 * [backup-simplify]: Simplify (/ 1 1) into 1 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.544 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.544 * [taylor]: Taking taylor expansion of re in im 0.544 * [backup-simplify]: Simplify re into re 0.544 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.544 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.545 * [backup-simplify]: Simplify (+ 1 0) into 1 0.545 * [backup-simplify]: Simplify (sqrt 1) into 1 0.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (+ 0 0) into 0 0.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.546 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.546 * [taylor]: Taking taylor expansion of im in im 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 1 into 1 0.547 * [backup-simplify]: Simplify (+ 0 1) into 1 0.547 * [backup-simplify]: Simplify (* 1 1) into 1 0.547 * [backup-simplify]: Simplify (* 1 1) into 1 0.547 * [backup-simplify]: Simplify (/ 1 1) into 1 0.547 * [taylor]: Taking taylor expansion of 1 in re 0.547 * [backup-simplify]: Simplify 1 into 1 0.547 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.548 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re) 0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 0.548 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 0.548 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.548 * [taylor]: Taking taylor expansion of re in re 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (/ 1 1) into 1 0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (- 0) into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.551 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 0.552 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 0.552 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 0.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 0.553 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 0.553 * [taylor]: Taking taylor expansion of 1/2 in re 0.553 * [backup-simplify]: Simplify 1/2 into 1/2 0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.553 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.553 * [taylor]: Taking taylor expansion of re in re 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 1 into 1 0.553 * [backup-simplify]: Simplify (* 1 1) into 1 0.553 * [backup-simplify]: Simplify (/ 1 1) into 1 0.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.557 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.557 * [backup-simplify]: Simplify (- 0) into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify (/ (* (/ 1 (- im)) (/ 1 (- im))) (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) into (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) 0.558 * [approximate]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in (im re) around 0 0.558 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in re 0.558 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in re 0.558 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.558 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.558 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.558 * [taylor]: Taking taylor expansion of im in re 0.558 * [backup-simplify]: Simplify im into im 0.558 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.558 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.558 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.558 * [taylor]: Taking taylor expansion of re in re 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 1 into 1 0.558 * [backup-simplify]: Simplify (* 1 1) into 1 0.559 * [backup-simplify]: Simplify (/ 1 1) into 1 0.559 * [backup-simplify]: Simplify (+ 0 1) into 1 0.559 * [backup-simplify]: Simplify (sqrt 1) into 1 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.560 * [backup-simplify]: Simplify (+ 0 0) into 0 0.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.560 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.560 * [taylor]: Taking taylor expansion of re in re 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 1 into 1 0.561 * [backup-simplify]: Simplify (/ 1 1) into 1 0.561 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.561 * [taylor]: Taking taylor expansion of im in re 0.561 * [backup-simplify]: Simplify im into im 0.561 * [backup-simplify]: Simplify (- 1) into -1 0.561 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.561 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.561 * [backup-simplify]: Simplify (* 0 (pow im 2)) into 0 0.561 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (- 0) into 0 0.562 * [backup-simplify]: Simplify (+ 0 0) into 0 0.563 * [backup-simplify]: Simplify (+ (* 0 0) (* 0 (pow im 2))) into 0 0.563 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.565 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.565 * [backup-simplify]: Simplify (- 0) into 0 0.565 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.566 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0 0) (* (* 1/2 (/ 1 (pow im 2))) (pow im 2)))) into 1/2 0.566 * [backup-simplify]: Simplify (/ 1 1/2) into 2 0.566 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 0.566 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 0.566 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.566 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.566 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.566 * [taylor]: Taking taylor expansion of im in im 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.567 * [backup-simplify]: Simplify (* 1 1) into 1 0.567 * [backup-simplify]: Simplify (/ 1 1) into 1 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.567 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.567 * [taylor]: Taking taylor expansion of re in im 0.567 * [backup-simplify]: Simplify re into re 0.567 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.567 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.567 * [backup-simplify]: Simplify (+ 1 0) into 1 0.567 * [backup-simplify]: Simplify (sqrt 1) into 1 0.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.568 * [backup-simplify]: Simplify (+ 0 0) into 0 0.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.569 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.569 * [taylor]: Taking taylor expansion of re in im 0.569 * [backup-simplify]: Simplify re into re 0.569 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.569 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.569 * [taylor]: Taking taylor expansion of im in im 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.569 * [backup-simplify]: Simplify (+ 1 0) into 1 0.569 * [backup-simplify]: Simplify (* 1 1) into 1 0.570 * [backup-simplify]: Simplify (* 1 1) into 1 0.570 * [backup-simplify]: Simplify (/ 1 1) into 1 0.570 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 0.570 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 0.570 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.570 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.570 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.570 * [taylor]: Taking taylor expansion of im in im 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [backup-simplify]: Simplify (* 1 1) into 1 0.570 * [backup-simplify]: Simplify (/ 1 1) into 1 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.570 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.571 * [taylor]: Taking taylor expansion of re in im 0.571 * [backup-simplify]: Simplify re into re 0.571 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.571 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.571 * [backup-simplify]: Simplify (+ 1 0) into 1 0.571 * [backup-simplify]: Simplify (sqrt 1) into 1 0.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (+ 0 0) into 0 0.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.575 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.575 * [taylor]: Taking taylor expansion of re in im 0.575 * [backup-simplify]: Simplify re into re 0.575 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.575 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.575 * [taylor]: Taking taylor expansion of im in im 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.576 * [backup-simplify]: Simplify (+ 1 0) into 1 0.576 * [backup-simplify]: Simplify (* 1 1) into 1 0.576 * [backup-simplify]: Simplify (* 1 1) into 1 0.576 * [backup-simplify]: Simplify (/ 1 1) into 1 0.576 * [taylor]: Taking taylor expansion of 1 in re 0.576 * [backup-simplify]: Simplify 1 into 1 0.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.577 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 0.577 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 0.577 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 re)) 1)) into (- (/ 1 re)) 0.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 0.577 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.577 * [taylor]: Taking taylor expansion of re in re 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 1 into 1 0.578 * [backup-simplify]: Simplify (/ 1 1) into 1 0.578 * [backup-simplify]: Simplify 1 into 1 0.578 * [backup-simplify]: Simplify 1 into 1 0.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.579 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 0.580 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 0.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 0.580 * [backup-simplify]: Simplify (- 0) into 0 0.580 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 0.581 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 0.581 * [taylor]: Taking taylor expansion of 1/2 in re 0.581 * [backup-simplify]: Simplify 1/2 into 1/2 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.581 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.581 * [taylor]: Taking taylor expansion of re in re 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 1 into 1 0.581 * [backup-simplify]: Simplify (* 1 1) into 1 0.582 * [backup-simplify]: Simplify (/ 1 1) into 1 0.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.583 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 0.585 * [backup-simplify]: Simplify (+ 0 0) into 0 0.586 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 0.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.586 * [backup-simplify]: Simplify (- 0) into 0 0.586 * [backup-simplify]: Simplify (+ 0 0) into 0 0.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (+ (* (* 1/2 (/ 1 (pow re 2))) 0) (* 0 1)))) into 0 0.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 re) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1/2 (/ 1 (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0 0.587 * [taylor]: Taking taylor expansion of 0 in re 0.587 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* 1 (* (/ 1 (/ 1 (- re))) 1))) into (- (+ re im)) 0.590 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.590 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) 0.590 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 0.590 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 0.590 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 0.590 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.590 * [taylor]: Taking taylor expansion of 2.0 in re 0.590 * [backup-simplify]: Simplify 2.0 into 2.0 0.590 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.591 * [taylor]: Taking taylor expansion of im in re 0.591 * [backup-simplify]: Simplify im into im 0.591 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.591 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.591 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.591 * [taylor]: Taking taylor expansion of re in re 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.591 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.591 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.591 * [taylor]: Taking taylor expansion of re in re 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.591 * [taylor]: Taking taylor expansion of im in re 0.591 * [backup-simplify]: Simplify im into im 0.591 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.591 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.591 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.591 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.592 * [backup-simplify]: Simplify (+ 0 0) into 0 0.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.592 * [backup-simplify]: Simplify (+ 0 im) into im 0.592 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.592 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 0.592 * [backup-simplify]: Simplify (+ 1 0) into 1 0.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 0.592 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 0.592 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 0.592 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 0.592 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.592 * [taylor]: Taking taylor expansion of 2.0 in im 0.592 * [backup-simplify]: Simplify 2.0 into 2.0 0.593 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.593 * [taylor]: Taking taylor expansion of im in im 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 1 into 1 0.593 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.593 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.593 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.593 * [taylor]: Taking taylor expansion of re in im 0.593 * [backup-simplify]: Simplify re into re 0.593 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.593 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.593 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.593 * [taylor]: Taking taylor expansion of re in im 0.593 * [backup-simplify]: Simplify re into re 0.593 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.593 * [taylor]: Taking taylor expansion of im in im 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 1 into 1 0.593 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.593 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.594 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.594 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.594 * [backup-simplify]: Simplify (+ 0 0) into 0 0.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.594 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.594 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 0.594 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.594 * [backup-simplify]: Simplify (+ 0 0) into 0 0.594 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 0.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 0.594 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 0.595 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 0.595 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.595 * [taylor]: Taking taylor expansion of 2.0 in im 0.595 * [backup-simplify]: Simplify 2.0 into 2.0 0.595 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.595 * [taylor]: Taking taylor expansion of im in im 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 1 into 1 0.595 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.595 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.595 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.595 * [taylor]: Taking taylor expansion of re in im 0.595 * [backup-simplify]: Simplify re into re 0.595 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.595 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.595 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.595 * [taylor]: Taking taylor expansion of re in im 0.595 * [backup-simplify]: Simplify re into re 0.595 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.595 * [taylor]: Taking taylor expansion of im in im 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 1 into 1 0.595 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.596 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.596 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.596 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.596 * [backup-simplify]: Simplify (+ 0 0) into 0 0.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.596 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.596 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 0.596 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.596 * [backup-simplify]: Simplify (+ 0 0) into 0 0.596 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 0.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 0.597 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.597 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0 0.597 * [taylor]: Taking taylor expansion of 0 in re 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 0.599 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) 0.599 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 0.599 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 0.599 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.599 * [taylor]: Taking taylor expansion of 2.0 in re 0.599 * [backup-simplify]: Simplify 2.0 into 2.0 0.599 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.600 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 0.600 * [taylor]: Taking taylor expansion of 1/2 in re 0.600 * [backup-simplify]: Simplify 1/2 into 1/2 0.600 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 0.601 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 0.601 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.601 * [taylor]: Taking taylor expansion of re in re 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [backup-simplify]: Simplify (/ 1 1) into 1 0.601 * [backup-simplify]: Simplify (sqrt 0) into 0 0.602 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.603 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 0.603 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 0.605 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 0.607 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.608 * [backup-simplify]: Simplify (* 1 1) into 1 0.608 * [backup-simplify]: Simplify (+ 0 1) into 1 0.608 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.608 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 0.609 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 0.609 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))) 0.610 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.611 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 0.612 * [backup-simplify]: Simplify (+ (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into 0 0.612 * [taylor]: Taking taylor expansion of 0 in re 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.615 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.615 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 0.616 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.616 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 0.619 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 0.620 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 0.620 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.621 * [backup-simplify]: Simplify (+ 0 0) into 0 0.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.622 * [backup-simplify]: Simplify (+ 0 0) into 0 0.622 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))) (* 0 (/ (* 1/2 (/ 1 re)) (* 2 re))) (* (- (* 1/8 (/ 1 (pow re 3)))) (/ 0 (* 2 re))))) into 0 0.623 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))))))) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0 0.624 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.624 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.626 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))))) into (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) 0.626 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 0.626 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 0.626 * [taylor]: Taking taylor expansion of 1/16 in re 0.626 * [backup-simplify]: Simplify 1/16 into 1/16 0.626 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 0.626 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 0.626 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.626 * [taylor]: Taking taylor expansion of 2.0 in re 0.626 * [backup-simplify]: Simplify 2.0 into 2.0 0.626 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.627 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 0.627 * [taylor]: Taking taylor expansion of 1/2 in re 0.627 * [backup-simplify]: Simplify 1/2 into 1/2 0.627 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 0.628 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2)) 0.628 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 0.628 * [taylor]: Taking taylor expansion of (pow re 5) in re 0.628 * [taylor]: Taking taylor expansion of re in re 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 1 into 1 0.629 * [backup-simplify]: Simplify (* 1 1) into 1 0.629 * [backup-simplify]: Simplify (* 1 1) into 1 0.629 * [backup-simplify]: Simplify (* 1 1) into 1 0.629 * [backup-simplify]: Simplify (/ 1 1) into 1 0.629 * [backup-simplify]: Simplify (sqrt 0) into 0 0.630 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.635 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.637 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.638 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 0.638 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.639 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 0.640 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 0.640 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.641 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 0.642 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 0.644 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 0.647 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 0.648 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 0.649 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0 0.653 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 0.655 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 0.657 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 0.666 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) (pow (* 1 im) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* re im)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* 1 im)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) 0.666 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (* (/ 1 im) (/ 1 im)) (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 0.666 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 0.666 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 0.666 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 0.666 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.667 * [taylor]: Taking taylor expansion of 2.0 in re 0.667 * [backup-simplify]: Simplify 2.0 into 2.0 0.667 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.667 * [taylor]: Taking taylor expansion of im in re 0.667 * [backup-simplify]: Simplify im into im 0.667 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 0.667 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.668 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.668 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.668 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.668 * [taylor]: Taking taylor expansion of re in re 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 1 into 1 0.668 * [backup-simplify]: Simplify (/ 1 1) into 1 0.668 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.668 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.668 * [taylor]: Taking taylor expansion of im in re 0.668 * [backup-simplify]: Simplify im into im 0.668 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.668 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.668 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.668 * [taylor]: Taking taylor expansion of re in re 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 1 into 1 0.668 * [backup-simplify]: Simplify (* 1 1) into 1 0.669 * [backup-simplify]: Simplify (/ 1 1) into 1 0.669 * [backup-simplify]: Simplify (+ 0 1) into 1 0.669 * [backup-simplify]: Simplify (sqrt 1) into 1 0.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.670 * [backup-simplify]: Simplify (+ 0 0) into 0 0.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.671 * [backup-simplify]: Simplify (+ 1 1) into 2 0.671 * [backup-simplify]: Simplify (/ 1 2) into 1/2 0.671 * [backup-simplify]: Simplify (sqrt 0) into 0 0.672 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 0.672 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 0.672 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 0.672 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.672 * [taylor]: Taking taylor expansion of 2.0 in im 0.672 * [backup-simplify]: Simplify 2.0 into 2.0 0.672 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.673 * [taylor]: Taking taylor expansion of im in im 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 1 into 1 0.673 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.673 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.673 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.673 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.673 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.673 * [taylor]: Taking taylor expansion of re in im 0.673 * [backup-simplify]: Simplify re into re 0.673 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.673 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.673 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.673 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.673 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.673 * [taylor]: Taking taylor expansion of im in im 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 1 into 1 0.674 * [backup-simplify]: Simplify (* 1 1) into 1 0.674 * [backup-simplify]: Simplify (/ 1 1) into 1 0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.674 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.674 * [taylor]: Taking taylor expansion of re in im 0.674 * [backup-simplify]: Simplify re into re 0.674 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.674 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.674 * [backup-simplify]: Simplify (+ 1 0) into 1 0.675 * [backup-simplify]: Simplify (sqrt 1) into 1 0.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.675 * [backup-simplify]: Simplify (+ 0 0) into 0 0.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.676 * [backup-simplify]: Simplify (+ 0 1) into 1 0.676 * [backup-simplify]: Simplify (/ 1 1) into 1 0.677 * [backup-simplify]: Simplify (sqrt 0) into 0 0.677 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.677 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 0.677 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 0.677 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.677 * [taylor]: Taking taylor expansion of 2.0 in im 0.677 * [backup-simplify]: Simplify 2.0 into 2.0 0.678 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.678 * [taylor]: Taking taylor expansion of im in im 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify 1 into 1 0.679 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.679 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.679 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.679 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.679 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.679 * [taylor]: Taking taylor expansion of re in im 0.679 * [backup-simplify]: Simplify re into re 0.679 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.679 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.679 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.679 * [taylor]: Taking taylor expansion of im in im 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [backup-simplify]: Simplify (* 1 1) into 1 0.679 * [backup-simplify]: Simplify (/ 1 1) into 1 0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.679 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.679 * [taylor]: Taking taylor expansion of re in im 0.679 * [backup-simplify]: Simplify re into re 0.679 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.679 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.680 * [backup-simplify]: Simplify (+ 1 0) into 1 0.680 * [backup-simplify]: Simplify (sqrt 1) into 1 0.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.681 * [backup-simplify]: Simplify (+ 0 0) into 0 0.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.682 * [backup-simplify]: Simplify (+ 0 1) into 1 0.682 * [backup-simplify]: Simplify (/ 1 1) into 1 0.682 * [backup-simplify]: Simplify (sqrt 0) into 0 0.683 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.683 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.683 * [taylor]: Taking taylor expansion of 0 in re 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.685 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.685 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 0.685 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.685 * [taylor]: Taking taylor expansion of +nan.0 in re 0.685 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.685 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.685 * [taylor]: Taking taylor expansion of 2.0 in re 0.685 * [backup-simplify]: Simplify 2.0 into 2.0 0.685 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.686 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.687 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.688 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 0.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 0.689 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 0.690 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.691 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 0.691 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.691 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.691 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.691 * [taylor]: Taking taylor expansion of +nan.0 in re 0.691 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.691 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.691 * [taylor]: Taking taylor expansion of 2.0 in re 0.691 * [backup-simplify]: Simplify 2.0 into 2.0 0.691 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.692 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 0.692 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.692 * [taylor]: Taking taylor expansion of +nan.0 in re 0.692 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.692 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 0.692 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.692 * [taylor]: Taking taylor expansion of 2.0 in re 0.692 * [backup-simplify]: Simplify 2.0 into 2.0 0.692 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.693 * [taylor]: Taking taylor expansion of re in re 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 1 into 1 0.693 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.694 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.695 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.695 * [backup-simplify]: Simplify (- 0) into 0 0.696 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.697 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.698 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.698 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.699 * [backup-simplify]: Simplify (- 0) into 0 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 0.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.700 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 0.701 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 0.701 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 0.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 0.702 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 0.702 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.704 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.704 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 0.704 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 0.704 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.704 * [taylor]: Taking taylor expansion of +nan.0 in re 0.704 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.704 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.704 * [taylor]: Taking taylor expansion of 2.0 in re 0.704 * [backup-simplify]: Simplify 2.0 into 2.0 0.705 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.705 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.705 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.705 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 0.705 * [taylor]: Taking taylor expansion of +nan.0 in re 0.705 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.705 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 0.705 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.705 * [taylor]: Taking taylor expansion of 2.0 in re 0.705 * [backup-simplify]: Simplify 2.0 into 2.0 0.705 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.706 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.706 * [taylor]: Taking taylor expansion of re in re 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 1 into 1 0.706 * [backup-simplify]: Simplify (* 1 1) into 1 0.707 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.707 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 0.707 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.707 * [taylor]: Taking taylor expansion of +nan.0 in re 0.707 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.707 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 0.707 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.707 * [taylor]: Taking taylor expansion of 2.0 in re 0.707 * [backup-simplify]: Simplify 2.0 into 2.0 0.707 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.707 * [taylor]: Taking taylor expansion of re in re 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.708 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.708 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.709 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.712 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.713 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.713 * [backup-simplify]: Simplify (- 0) into 0 0.713 * [backup-simplify]: Simplify (+ 0 0) into 0 0.714 * [backup-simplify]: Simplify (- 0) into 0 0.714 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.716 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.717 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.719 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 im)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 im))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) 0.720 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (* (/ 1 (- im)) (/ 1 (- im))) (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 0.720 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 0.720 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 0.720 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 0.720 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.720 * [taylor]: Taking taylor expansion of 2.0 in re 0.720 * [backup-simplify]: Simplify 2.0 into 2.0 0.720 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.720 * [taylor]: Taking taylor expansion of im in re 0.720 * [backup-simplify]: Simplify im into im 0.721 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 0.721 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.721 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.721 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.721 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.721 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.721 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.721 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.721 * [taylor]: Taking taylor expansion of im in re 0.721 * [backup-simplify]: Simplify im into im 0.721 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.721 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.721 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.721 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.721 * [taylor]: Taking taylor expansion of re in re 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 1 into 1 0.721 * [backup-simplify]: Simplify (* 1 1) into 1 0.722 * [backup-simplify]: Simplify (/ 1 1) into 1 0.722 * [backup-simplify]: Simplify (+ 0 1) into 1 0.722 * [backup-simplify]: Simplify (sqrt 1) into 1 0.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.723 * [backup-simplify]: Simplify (+ 0 0) into 0 0.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.723 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.723 * [taylor]: Taking taylor expansion of re in re 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 1 into 1 0.724 * [backup-simplify]: Simplify (/ 1 1) into 1 0.724 * [backup-simplify]: Simplify (- 1) into -1 0.724 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.725 * [backup-simplify]: Simplify (- 0) into 0 0.725 * [backup-simplify]: Simplify (+ 0 0) into 0 0.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.726 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.727 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.728 * [backup-simplify]: Simplify (- 0) into 0 0.728 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.728 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 0.728 * [backup-simplify]: Simplify (sqrt 0) into 0 0.728 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 0.728 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 0.728 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 0.728 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.729 * [taylor]: Taking taylor expansion of 2.0 in im 0.729 * [backup-simplify]: Simplify 2.0 into 2.0 0.729 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.729 * [taylor]: Taking taylor expansion of im in im 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 1 into 1 0.730 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.730 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.730 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.730 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.730 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.730 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.730 * [taylor]: Taking taylor expansion of im in im 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.730 * [backup-simplify]: Simplify (* 1 1) into 1 0.730 * [backup-simplify]: Simplify (/ 1 1) into 1 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.730 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.730 * [taylor]: Taking taylor expansion of re in im 0.730 * [backup-simplify]: Simplify re into re 0.730 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.731 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.731 * [backup-simplify]: Simplify (+ 1 0) into 1 0.731 * [backup-simplify]: Simplify (sqrt 1) into 1 0.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.732 * [backup-simplify]: Simplify (+ 0 0) into 0 0.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.732 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.732 * [taylor]: Taking taylor expansion of re in im 0.732 * [backup-simplify]: Simplify re into re 0.732 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.733 * [backup-simplify]: Simplify (+ 1 0) into 1 0.733 * [backup-simplify]: Simplify (/ 1 1) into 1 0.733 * [backup-simplify]: Simplify (sqrt 0) into 0 0.734 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.734 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 0.734 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 0.734 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.734 * [taylor]: Taking taylor expansion of 2.0 in im 0.734 * [backup-simplify]: Simplify 2.0 into 2.0 0.734 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.735 * [taylor]: Taking taylor expansion of im in im 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.735 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.735 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.736 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.736 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.736 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.736 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.736 * [taylor]: Taking taylor expansion of im in im 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [backup-simplify]: Simplify (* 1 1) into 1 0.736 * [backup-simplify]: Simplify (/ 1 1) into 1 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.736 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.736 * [taylor]: Taking taylor expansion of re in im 0.736 * [backup-simplify]: Simplify re into re 0.736 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.736 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.737 * [backup-simplify]: Simplify (+ 1 0) into 1 0.737 * [backup-simplify]: Simplify (sqrt 1) into 1 0.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.738 * [backup-simplify]: Simplify (+ 0 0) into 0 0.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.738 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.738 * [taylor]: Taking taylor expansion of re in im 0.738 * [backup-simplify]: Simplify re into re 0.738 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.738 * [backup-simplify]: Simplify (+ 1 0) into 1 0.739 * [backup-simplify]: Simplify (/ 1 1) into 1 0.739 * [backup-simplify]: Simplify (sqrt 0) into 0 0.740 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.740 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.740 * [taylor]: Taking taylor expansion of 0 in re 0.740 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.742 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.742 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 0.742 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.742 * [taylor]: Taking taylor expansion of +nan.0 in re 0.742 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.742 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.742 * [taylor]: Taking taylor expansion of 2.0 in re 0.742 * [backup-simplify]: Simplify 2.0 into 2.0 0.742 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 0.743 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 0.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 0.744 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 0.744 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.745 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 0.745 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.746 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.746 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.746 * [taylor]: Taking taylor expansion of +nan.0 in re 0.746 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.746 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.746 * [taylor]: Taking taylor expansion of 2.0 in re 0.746 * [backup-simplify]: Simplify 2.0 into 2.0 0.746 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.746 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 0.746 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.746 * [taylor]: Taking taylor expansion of +nan.0 in re 0.746 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.746 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 0.746 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.746 * [taylor]: Taking taylor expansion of 2.0 in re 0.746 * [backup-simplify]: Simplify 2.0 into 2.0 0.747 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.747 * [taylor]: Taking taylor expansion of re in re 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.748 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.748 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.749 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.750 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.752 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.752 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.756 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.757 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.757 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.757 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.759 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 0.759 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 0.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 0.760 * [backup-simplify]: Simplify (- 0) into 0 0.760 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 0.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 0.761 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 0.761 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.763 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.763 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 0.763 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 0.763 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.763 * [taylor]: Taking taylor expansion of +nan.0 in re 0.763 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.763 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.763 * [taylor]: Taking taylor expansion of 2.0 in re 0.763 * [backup-simplify]: Simplify 2.0 into 2.0 0.763 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.764 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.764 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.764 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 0.764 * [taylor]: Taking taylor expansion of +nan.0 in re 0.764 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.764 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 0.764 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.764 * [taylor]: Taking taylor expansion of 2.0 in re 0.764 * [backup-simplify]: Simplify 2.0 into 2.0 0.764 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.765 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.765 * [taylor]: Taking taylor expansion of re in re 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 1 into 1 0.765 * [backup-simplify]: Simplify (* 1 1) into 1 0.765 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.765 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 0.765 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.765 * [taylor]: Taking taylor expansion of +nan.0 in re 0.765 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.765 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 0.765 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.765 * [taylor]: Taking taylor expansion of 2.0 in re 0.766 * [backup-simplify]: Simplify 2.0 into 2.0 0.766 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.766 * [taylor]: Taking taylor expansion of re in re 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify 1 into 1 0.767 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.768 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.769 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.769 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.771 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.772 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.773 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.774 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.775 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.778 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (/ 1 (- im)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 0.778 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 0.778 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 0.778 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.778 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.778 * [taylor]: Taking taylor expansion of re in im 0.778 * [backup-simplify]: Simplify re into re 0.778 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.778 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.778 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.778 * [taylor]: Taking taylor expansion of re in im 0.778 * [backup-simplify]: Simplify re into re 0.778 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.779 * [taylor]: Taking taylor expansion of im in im 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.779 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.779 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.779 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.779 * [backup-simplify]: Simplify (+ 0 0) into 0 0.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.779 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.779 * [taylor]: Taking taylor expansion of re in re 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.779 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.779 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.779 * [taylor]: Taking taylor expansion of re in re 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.779 * [taylor]: Taking taylor expansion of im in re 0.780 * [backup-simplify]: Simplify im into im 0.780 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.780 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.780 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.780 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.780 * [backup-simplify]: Simplify (+ 0 0) into 0 0.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.780 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.780 * [taylor]: Taking taylor expansion of re in re 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.780 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.780 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.780 * [taylor]: Taking taylor expansion of re in re 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.780 * [taylor]: Taking taylor expansion of im in re 0.780 * [backup-simplify]: Simplify im into im 0.780 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.781 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.781 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.781 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.781 * [backup-simplify]: Simplify (+ 0 0) into 0 0.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.781 * [backup-simplify]: Simplify (+ 0 im) into im 0.781 * [taylor]: Taking taylor expansion of im in im 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify (+ 1 0) into 1 0.781 * [taylor]: Taking taylor expansion of 1 in im 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify 1 into 1 0.782 * [backup-simplify]: Simplify (* 1 1) into 1 0.782 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.782 * [backup-simplify]: Simplify (+ 1 0) into 1 0.783 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.783 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.783 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.783 * [taylor]: Taking taylor expansion of 1/2 in im 0.783 * [backup-simplify]: Simplify 1/2 into 1/2 0.783 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.783 * [taylor]: Taking taylor expansion of im in im 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 1 into 1 0.783 * [backup-simplify]: Simplify (/ 1 1) into 1 0.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.784 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.785 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.785 * [backup-simplify]: Simplify (+ 0 0) into 0 0.785 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.785 * [backup-simplify]: Simplify (+ 0 0) into 0 0.785 * [taylor]: Taking taylor expansion of 0 in im 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.787 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 0.787 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.787 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.787 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.787 * [taylor]: Taking taylor expansion of re in im 0.787 * [backup-simplify]: Simplify re into re 0.787 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.787 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.787 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.787 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.787 * [taylor]: Taking taylor expansion of im in im 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [backup-simplify]: Simplify (* 1 1) into 1 0.788 * [backup-simplify]: Simplify (/ 1 1) into 1 0.788 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.788 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.788 * [taylor]: Taking taylor expansion of re in im 0.788 * [backup-simplify]: Simplify re into re 0.788 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.788 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.788 * [backup-simplify]: Simplify (+ 1 0) into 1 0.788 * [backup-simplify]: Simplify (sqrt 1) into 1 0.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.789 * [backup-simplify]: Simplify (+ 0 0) into 0 0.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.790 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.790 * [taylor]: Taking taylor expansion of re in re 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 1 into 1 0.790 * [backup-simplify]: Simplify (/ 1 1) into 1 0.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.790 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.790 * [taylor]: Taking taylor expansion of im in re 0.790 * [backup-simplify]: Simplify im into im 0.790 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.790 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.790 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.790 * [taylor]: Taking taylor expansion of re in re 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 1 into 1 0.791 * [backup-simplify]: Simplify (* 1 1) into 1 0.791 * [backup-simplify]: Simplify (/ 1 1) into 1 0.791 * [backup-simplify]: Simplify (+ 0 1) into 1 0.791 * [backup-simplify]: Simplify (sqrt 1) into 1 0.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.792 * [backup-simplify]: Simplify (+ 0 0) into 0 0.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.793 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.793 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.793 * [taylor]: Taking taylor expansion of re in re 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 1 into 1 0.793 * [backup-simplify]: Simplify (/ 1 1) into 1 0.793 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.793 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.793 * [taylor]: Taking taylor expansion of im in re 0.793 * [backup-simplify]: Simplify im into im 0.793 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.793 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.793 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.793 * [taylor]: Taking taylor expansion of re in re 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 1 into 1 0.793 * [backup-simplify]: Simplify (* 1 1) into 1 0.794 * [backup-simplify]: Simplify (/ 1 1) into 1 0.794 * [backup-simplify]: Simplify (+ 0 1) into 1 0.794 * [backup-simplify]: Simplify (sqrt 1) into 1 0.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.795 * [backup-simplify]: Simplify (+ 0 0) into 0 0.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.796 * [backup-simplify]: Simplify (+ 1 1) into 2 0.796 * [taylor]: Taking taylor expansion of 2 in im 0.796 * [backup-simplify]: Simplify 2 into 2 0.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.796 * [backup-simplify]: Simplify (+ 0 0) into 0 0.796 * [taylor]: Taking taylor expansion of 0 in im 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify 2 into 2 0.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.798 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.799 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.799 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.799 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.799 * [taylor]: Taking taylor expansion of 1/2 in im 0.799 * [backup-simplify]: Simplify 1/2 into 1/2 0.799 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.799 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.799 * [taylor]: Taking taylor expansion of im in im 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify 1 into 1 0.799 * [backup-simplify]: Simplify (* 1 1) into 1 0.799 * [backup-simplify]: Simplify (/ 1 1) into 1 0.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.801 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.801 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.803 * [backup-simplify]: Simplify (+ 0 0) into 0 0.803 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.803 * [backup-simplify]: Simplify (+ 0 0) into 0 0.803 * [taylor]: Taking taylor expansion of 0 in im 0.803 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.805 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 0.805 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.805 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.805 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.805 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.805 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.805 * [taylor]: Taking taylor expansion of im in im 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 1 into 1 0.805 * [backup-simplify]: Simplify (* 1 1) into 1 0.806 * [backup-simplify]: Simplify (/ 1 1) into 1 0.806 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.806 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.806 * [taylor]: Taking taylor expansion of re in im 0.806 * [backup-simplify]: Simplify re into re 0.806 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.806 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.806 * [backup-simplify]: Simplify (+ 1 0) into 1 0.806 * [backup-simplify]: Simplify (sqrt 1) into 1 0.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.807 * [backup-simplify]: Simplify (+ 0 0) into 0 0.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.808 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.808 * [taylor]: Taking taylor expansion of re in im 0.808 * [backup-simplify]: Simplify re into re 0.808 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.808 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.808 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.808 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.808 * [taylor]: Taking taylor expansion of im in re 0.808 * [backup-simplify]: Simplify im into im 0.808 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.808 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.808 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.808 * [taylor]: Taking taylor expansion of re in re 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify 1 into 1 0.808 * [backup-simplify]: Simplify (* 1 1) into 1 0.809 * [backup-simplify]: Simplify (/ 1 1) into 1 0.809 * [backup-simplify]: Simplify (+ 0 1) into 1 0.809 * [backup-simplify]: Simplify (sqrt 1) into 1 0.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (+ 0 0) into 0 0.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.811 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.811 * [taylor]: Taking taylor expansion of re in re 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify 1 into 1 0.811 * [backup-simplify]: Simplify (/ 1 1) into 1 0.811 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.811 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.811 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.811 * [taylor]: Taking taylor expansion of im in re 0.811 * [backup-simplify]: Simplify im into im 0.811 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.811 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.811 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.811 * [taylor]: Taking taylor expansion of re in re 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify 1 into 1 0.811 * [backup-simplify]: Simplify (* 1 1) into 1 0.812 * [backup-simplify]: Simplify (/ 1 1) into 1 0.812 * [backup-simplify]: Simplify (+ 0 1) into 1 0.812 * [backup-simplify]: Simplify (sqrt 1) into 1 0.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.813 * [backup-simplify]: Simplify (+ 0 0) into 0 0.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.813 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.813 * [taylor]: Taking taylor expansion of re in re 0.813 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 1 into 1 0.814 * [backup-simplify]: Simplify (/ 1 1) into 1 0.814 * [backup-simplify]: Simplify (- 1) into -1 0.814 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.814 * [taylor]: Taking taylor expansion of 0 in im 0.814 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.815 * [backup-simplify]: Simplify (- 0) into 0 0.815 * [backup-simplify]: Simplify (+ 0 0) into 0 0.815 * [taylor]: Taking taylor expansion of 0 in im 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.816 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.817 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.818 * [backup-simplify]: Simplify (- 0) into 0 0.818 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.818 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.818 * [taylor]: Taking taylor expansion of 1/2 in im 0.818 * [backup-simplify]: Simplify 1/2 into 1/2 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.818 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.818 * [taylor]: Taking taylor expansion of im in im 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [backup-simplify]: Simplify (* 1 1) into 1 0.819 * [backup-simplify]: Simplify (/ 1 1) into 1 0.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.820 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.821 * [backup-simplify]: Simplify (+ 0 0) into 0 0.822 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.822 * [backup-simplify]: Simplify (- 0) into 0 0.823 * [backup-simplify]: Simplify (+ 0 0) into 0 0.823 * [taylor]: Taking taylor expansion of 0 in im 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * * * [progress]: simplifying candidates 0.825 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (+ (log im) (log im)) (log (+ (sqrt (+ (* re re) (* im im))) re))) (- (log (* im im)) (log (+ (sqrt (+ (* re re) (* im im))) re))) (log (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (exp (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (* (* im im) im) (* (* im im) im)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (* (* im im) (* im im)) (* im im)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (* (* (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (- (* im im)) (- (+ (sqrt (+ (* re re) (* im im))) re)) (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im 1) (/ im (+ (sqrt (+ (* re re) (* im im))) re)) (/ im 1) (/ im (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 (+ (sqrt (+ (* re re) (* im im))) re)) (/ (+ (sqrt (+ (* re re) (* im im))) re) (* im im)) (/ (* im im) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (* im im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* im im) 1) (/ (* im im) 1) (/ (+ (sqrt (+ (* re re) (* im im))) re) im) (/ (* im im) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (/ (* im im) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (log (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (exp (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (cbrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (* (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt 2.0) (sqrt (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (* 2.0 (/ (* im im) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) im re (* -1 re) 0 0 (- (+ re im)) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) (+ re im) (* 2 re) 0 0.826 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (- (+ (log h0) (log h0)) (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (- (log (* h0 h0)) (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (log (/ (* h0 h0) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (exp (/ (* h0 h0) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (/ (* (* (* h0 h0) h0) (* (* h0 h0) h0)) (* (* (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (/ (* (* (* h0 h0) (* h0 h0)) (* h0 h0)) (* (* (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (* (cbrt (/ (* h0 h0) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (/ (* h0 h0) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (cbrt (/ (* h0 h0) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (* (* (/ (* h0 h0) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (/ (* h0 h0) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (/ (* h0 h0) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (sqrt (/ (* h0 h0) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (sqrt (/ (* h0 h0) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (- (* h0 h0)) (- (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (/ h0 (* (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (/ h0 (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (/ h0 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (/ h0 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (/ h0 1) (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (/ h0 1) (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (/ 1 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (/ (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (* h0 h0)) (/ (* h0 h0) (* (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (/ (* h0 h0) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (/ (* h0 h0) 1) (/ (* h0 h0) 1) (/ (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) h0) (/ (* h0 h0) (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3))) (/ (* h0 h0) (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1))) (log (sqrt (* h2 (/ (* h0 h0) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (exp (sqrt (* h2 (/ (* h0 h0) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (* (cbrt (sqrt (* h2 (/ (* h0 h0) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (cbrt (sqrt (* h2 (/ (* h0 h0) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (cbrt (sqrt (* h2 (/ (* h0 h0) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (* (* (sqrt (* h2 (/ (* h0 h0) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h2 (/ (* h0 h0) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (sqrt (* h2 (/ (* h0 h0) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (sqrt h2) (sqrt (/ (* h0 h0) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (sqrt (* h2 (* h0 h0))) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h2 (/ (* h0 h0) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (sqrt (sqrt (* h2 (/ (* h0 h0) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (* (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1)) (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (exp (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (* (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)) (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) h0 h1 (* -1 h1) 0 0 (- (+ h1 h0)) (- (+ (* h3 (* (sqrt h2) (* (sqrt 1/2) (* h0 h1)))) (- (+ (* h3 (* (sqrt h2) (* (sqrt 1/2) h0))) (- (* h3 (/ (* (sqrt h2) (pow h0 3)) (sqrt 1/2)))))))) (- (+ (* h3 (/ (sqrt h2) (pow h0 2))) (- (+ (* h3 (/ (sqrt h2) h0)) (- (* h3 (sqrt h2))))))) (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (* (sqrt h2) h1) h0)) (- (* h3 (/ (* (sqrt h2) h1) (pow h0 2)))))))) (+ h1 h0) (* 2 h1) 0 0.830 * * [simplify]: iteration 0 : 365 enodes (cost 616 ) 0.836 * * [simplify]: iteration 1 : 1407 enodes (cost 542 ) 0.860 * * [simplify]: iteration 2 : 5001 enodes (cost 532 ) 0.863 * * * [progress]: adding candidates to table 1.054 * * [progress]: iteration 3 / 4 1.055 * * * [progress]: picking best candidate 1.070 * * * * [pick]: Picked # 1.070 * * * [progress]: localizing error 1.082 * * * [progress]: generating rewritten candidates 1.082 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2 1) 1.091 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.162 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 2) 1.191 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 1.278 * * * [progress]: generating series expansions 1.278 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2 1) 1.278 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.278 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.278 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.278 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.278 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.278 * [taylor]: Taking taylor expansion of re in im 1.278 * [backup-simplify]: Simplify re into re 1.279 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.279 * [taylor]: Taking taylor expansion of im in im 1.279 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify 1 into 1 1.279 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.279 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.279 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.279 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.279 * [backup-simplify]: Simplify (+ 0 0) into 0 1.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.279 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.279 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.279 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.279 * [taylor]: Taking taylor expansion of re in re 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify 1 into 1 1.280 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.280 * [taylor]: Taking taylor expansion of im in re 1.280 * [backup-simplify]: Simplify im into im 1.280 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.280 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.280 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.280 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.280 * [backup-simplify]: Simplify (+ 0 0) into 0 1.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.280 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.280 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.280 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.280 * [taylor]: Taking taylor expansion of re in re 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify 1 into 1 1.280 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.280 * [taylor]: Taking taylor expansion of im in re 1.280 * [backup-simplify]: Simplify im into im 1.280 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.280 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.281 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.281 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.281 * [backup-simplify]: Simplify (+ 0 0) into 0 1.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.281 * [taylor]: Taking taylor expansion of im in im 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [backup-simplify]: Simplify 1 into 1 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [taylor]: Taking taylor expansion of 0 in im 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [backup-simplify]: Simplify 1 into 1 1.281 * [backup-simplify]: Simplify (* 1 1) into 1 1.282 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.282 * [backup-simplify]: Simplify (+ 1 0) into 1 1.282 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.282 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.283 * [taylor]: Taking taylor expansion of 1/2 in im 1.283 * [backup-simplify]: Simplify 1/2 into 1/2 1.283 * [taylor]: Taking taylor expansion of im in im 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify 1 into 1 1.283 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.284 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.284 * [backup-simplify]: Simplify (+ 0 0) into 0 1.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.285 * [taylor]: Taking taylor expansion of 0 in im 1.285 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.285 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.285 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.285 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.285 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.286 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.286 * [taylor]: Taking taylor expansion of im in im 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify 1 into 1 1.286 * [backup-simplify]: Simplify (* 1 1) into 1 1.286 * [backup-simplify]: Simplify (/ 1 1) into 1 1.286 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.286 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.286 * [taylor]: Taking taylor expansion of re in im 1.286 * [backup-simplify]: Simplify re into re 1.286 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.286 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.286 * [backup-simplify]: Simplify (+ 1 0) into 1 1.287 * [backup-simplify]: Simplify (sqrt 1) into 1 1.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.288 * [backup-simplify]: Simplify (+ 0 0) into 0 1.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.288 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.288 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.288 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.288 * [taylor]: Taking taylor expansion of im in re 1.288 * [backup-simplify]: Simplify im into im 1.288 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.289 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.289 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.289 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.289 * [taylor]: Taking taylor expansion of re in re 1.289 * [backup-simplify]: Simplify 0 into 0 1.289 * [backup-simplify]: Simplify 1 into 1 1.289 * [backup-simplify]: Simplify (* 1 1) into 1 1.289 * [backup-simplify]: Simplify (/ 1 1) into 1 1.289 * [backup-simplify]: Simplify (+ 0 1) into 1 1.290 * [backup-simplify]: Simplify (sqrt 1) into 1 1.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.290 * [backup-simplify]: Simplify (+ 0 0) into 0 1.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.291 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.291 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.291 * [taylor]: Taking taylor expansion of im in re 1.291 * [backup-simplify]: Simplify im into im 1.291 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.291 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.291 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.291 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.291 * [taylor]: Taking taylor expansion of re in re 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify 1 into 1 1.291 * [backup-simplify]: Simplify (* 1 1) into 1 1.292 * [backup-simplify]: Simplify (/ 1 1) into 1 1.292 * [backup-simplify]: Simplify (+ 0 1) into 1 1.292 * [backup-simplify]: Simplify (sqrt 1) into 1 1.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.293 * [backup-simplify]: Simplify (+ 0 0) into 0 1.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.294 * [taylor]: Taking taylor expansion of 1 in im 1.294 * [backup-simplify]: Simplify 1 into 1 1.294 * [taylor]: Taking taylor expansion of 0 in im 1.294 * [backup-simplify]: Simplify 0 into 0 1.294 * [backup-simplify]: Simplify 1 into 1 1.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.297 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.298 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.298 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.298 * [taylor]: Taking taylor expansion of 1/2 in im 1.298 * [backup-simplify]: Simplify 1/2 into 1/2 1.298 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.298 * [taylor]: Taking taylor expansion of im in im 1.298 * [backup-simplify]: Simplify 0 into 0 1.298 * [backup-simplify]: Simplify 1 into 1 1.298 * [backup-simplify]: Simplify (* 1 1) into 1 1.299 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.300 * [backup-simplify]: Simplify 0 into 0 1.300 * [backup-simplify]: Simplify 0 into 0 1.300 * [backup-simplify]: Simplify 0 into 0 1.300 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.301 * [backup-simplify]: Simplify (+ 0 0) into 0 1.301 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.301 * [taylor]: Taking taylor expansion of 0 in im 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.303 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.303 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.303 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.303 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.303 * [taylor]: Taking taylor expansion of im in im 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 1 into 1 1.303 * [backup-simplify]: Simplify (* 1 1) into 1 1.303 * [backup-simplify]: Simplify (/ 1 1) into 1 1.303 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.304 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.304 * [taylor]: Taking taylor expansion of re in im 1.304 * [backup-simplify]: Simplify re into re 1.304 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.304 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.304 * [backup-simplify]: Simplify (+ 1 0) into 1 1.304 * [backup-simplify]: Simplify (sqrt 1) into 1 1.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.305 * [backup-simplify]: Simplify (+ 0 0) into 0 1.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.306 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.306 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.306 * [taylor]: Taking taylor expansion of im in re 1.306 * [backup-simplify]: Simplify im into im 1.306 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.306 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.306 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.306 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.306 * [taylor]: Taking taylor expansion of re in re 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify 1 into 1 1.306 * [backup-simplify]: Simplify (* 1 1) into 1 1.306 * [backup-simplify]: Simplify (/ 1 1) into 1 1.307 * [backup-simplify]: Simplify (+ 0 1) into 1 1.307 * [backup-simplify]: Simplify (sqrt 1) into 1 1.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.308 * [backup-simplify]: Simplify (+ 0 0) into 0 1.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.308 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.308 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.308 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.308 * [taylor]: Taking taylor expansion of im in re 1.308 * [backup-simplify]: Simplify im into im 1.308 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.308 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.308 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.308 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.308 * [taylor]: Taking taylor expansion of re in re 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.309 * [backup-simplify]: Simplify (* 1 1) into 1 1.309 * [backup-simplify]: Simplify (/ 1 1) into 1 1.309 * [backup-simplify]: Simplify (+ 0 1) into 1 1.309 * [backup-simplify]: Simplify (sqrt 1) into 1 1.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.310 * [backup-simplify]: Simplify (+ 0 0) into 0 1.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.311 * [taylor]: Taking taylor expansion of 1 in im 1.311 * [backup-simplify]: Simplify 1 into 1 1.311 * [taylor]: Taking taylor expansion of 0 in im 1.311 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify 1 into 1 1.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.312 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.313 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.313 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.313 * [taylor]: Taking taylor expansion of 1/2 in im 1.313 * [backup-simplify]: Simplify 1/2 into 1/2 1.313 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.313 * [taylor]: Taking taylor expansion of im in im 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify 1 into 1 1.313 * [backup-simplify]: Simplify (* 1 1) into 1 1.313 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.316 * [backup-simplify]: Simplify (+ 0 0) into 0 1.316 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.316 * [taylor]: Taking taylor expansion of 0 in im 1.316 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.317 * [backup-simplify]: Simplify 0 into 0 1.317 * [backup-simplify]: Simplify 0 into 0 1.317 * [backup-simplify]: Simplify 0 into 0 1.317 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.317 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.317 * [backup-simplify]: Simplify (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re))))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) 1.317 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 1.318 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 1.318 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 1.318 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.318 * [taylor]: Taking taylor expansion of 2.0 in re 1.318 * [backup-simplify]: Simplify 2.0 into 2.0 1.318 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.318 * [taylor]: Taking taylor expansion of im in re 1.318 * [backup-simplify]: Simplify im into im 1.318 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 1.318 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 1.318 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.318 * [taylor]: Taking taylor expansion of re in re 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify 1 into 1 1.318 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.318 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.318 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.318 * [taylor]: Taking taylor expansion of re in re 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify 1 into 1 1.318 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.318 * [taylor]: Taking taylor expansion of im in re 1.319 * [backup-simplify]: Simplify im into im 1.319 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.319 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.319 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.319 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.319 * [backup-simplify]: Simplify (+ 0 0) into 0 1.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.319 * [backup-simplify]: Simplify (+ 0 im) into im 1.319 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.319 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 1.319 * [backup-simplify]: Simplify (+ 1 0) into 1 1.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 1.320 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 1.320 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 1.320 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.320 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.320 * [taylor]: Taking taylor expansion of 2.0 in im 1.320 * [backup-simplify]: Simplify 2.0 into 2.0 1.320 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.321 * [taylor]: Taking taylor expansion of im in im 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 1 into 1 1.321 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 1.321 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.321 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.321 * [taylor]: Taking taylor expansion of re in im 1.321 * [backup-simplify]: Simplify re into re 1.321 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.321 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.321 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.321 * [taylor]: Taking taylor expansion of re in im 1.321 * [backup-simplify]: Simplify re into re 1.321 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.321 * [taylor]: Taking taylor expansion of im in im 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 1 into 1 1.321 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.321 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.321 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.321 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.321 * [backup-simplify]: Simplify (+ 0 0) into 0 1.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.321 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 1.321 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 1.322 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 1.322 * [backup-simplify]: Simplify (+ 0 0) into 0 1.322 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 1.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 1.322 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 1.322 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.322 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.322 * [taylor]: Taking taylor expansion of 2.0 in im 1.322 * [backup-simplify]: Simplify 2.0 into 2.0 1.322 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.323 * [taylor]: Taking taylor expansion of im in im 1.323 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify 1 into 1 1.323 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 1.323 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.323 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.323 * [taylor]: Taking taylor expansion of re in im 1.323 * [backup-simplify]: Simplify re into re 1.323 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.323 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.323 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.323 * [taylor]: Taking taylor expansion of re in im 1.323 * [backup-simplify]: Simplify re into re 1.323 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.323 * [taylor]: Taking taylor expansion of im in im 1.323 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify 1 into 1 1.323 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.323 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.323 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.323 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.323 * [backup-simplify]: Simplify (+ 0 0) into 0 1.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.324 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 1.324 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 1.324 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 1.324 * [backup-simplify]: Simplify (+ 0 0) into 0 1.324 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 1.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 1.324 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.325 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0 1.325 * [taylor]: Taking taylor expansion of 0 in re 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 1.327 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) 1.327 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 1.327 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 1.327 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.327 * [taylor]: Taking taylor expansion of 2.0 in re 1.327 * [backup-simplify]: Simplify 2.0 into 2.0 1.327 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.328 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 1.328 * [taylor]: Taking taylor expansion of 1/2 in re 1.328 * [backup-simplify]: Simplify 1/2 into 1/2 1.328 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 1.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1.328 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 1.328 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.328 * [taylor]: Taking taylor expansion of re in re 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 1 into 1 1.329 * [backup-simplify]: Simplify (/ 1 1) into 1 1.329 * [backup-simplify]: Simplify (sqrt 0) into 0 1.330 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.330 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 1.331 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 1.333 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 1.335 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.335 * [backup-simplify]: Simplify (* 1 1) into 1 1.335 * [backup-simplify]: Simplify (+ 0 1) into 1 1.336 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 1.336 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 1.336 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 1.337 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))) 1.338 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.338 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 1.340 * [backup-simplify]: Simplify (+ (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into 0 1.340 * [taylor]: Taking taylor expansion of 0 in re 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.342 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.342 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1.343 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.344 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 1.346 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 1.348 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 1.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.349 * [backup-simplify]: Simplify (+ 0 0) into 0 1.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 1.349 * [backup-simplify]: Simplify (+ 0 0) into 0 1.350 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))) (* 0 (/ (* 1/2 (/ 1 re)) (* 2 re))) (* (- (* 1/8 (/ 1 (pow re 3)))) (/ 0 (* 2 re))))) into 0 1.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))))))) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0 1.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.352 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.353 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))))) into (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) 1.353 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 1.354 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 1.354 * [taylor]: Taking taylor expansion of 1/16 in re 1.354 * [backup-simplify]: Simplify 1/16 into 1/16 1.354 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 1.354 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 1.354 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.354 * [taylor]: Taking taylor expansion of 2.0 in re 1.354 * [backup-simplify]: Simplify 2.0 into 2.0 1.354 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.354 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 1.354 * [taylor]: Taking taylor expansion of 1/2 in re 1.354 * [backup-simplify]: Simplify 1/2 into 1/2 1.355 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 1.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1.356 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2)) 1.356 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 1.356 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 1.356 * [taylor]: Taking taylor expansion of (pow re 5) in re 1.356 * [taylor]: Taking taylor expansion of re in re 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 1 into 1 1.356 * [backup-simplify]: Simplify (* 1 1) into 1 1.356 * [backup-simplify]: Simplify (* 1 1) into 1 1.356 * [backup-simplify]: Simplify (* 1 1) into 1 1.357 * [backup-simplify]: Simplify (/ 1 1) into 1 1.357 * [backup-simplify]: Simplify (sqrt 0) into 0 1.358 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.363 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.365 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.365 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 1.366 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.367 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1.367 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 1.368 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.369 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 1.369 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 1.372 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 1.374 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 1.376 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 1.377 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0 1.381 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 1.386 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 1.388 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 1.393 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) (pow (* 1 im) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* re im)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* 1 im)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) 1.394 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 im) (/ (/ 1 im) (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 1.394 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 1.394 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 1.394 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.394 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.394 * [taylor]: Taking taylor expansion of 2.0 in re 1.394 * [backup-simplify]: Simplify 2.0 into 2.0 1.394 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.394 * [taylor]: Taking taylor expansion of im in re 1.394 * [backup-simplify]: Simplify im into im 1.395 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 1.395 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 1.395 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.395 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.395 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.395 * [taylor]: Taking taylor expansion of re in re 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 1 into 1 1.395 * [backup-simplify]: Simplify (/ 1 1) into 1 1.395 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.395 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.395 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.395 * [taylor]: Taking taylor expansion of im in re 1.395 * [backup-simplify]: Simplify im into im 1.395 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.395 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.395 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.395 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.395 * [taylor]: Taking taylor expansion of re in re 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 1 into 1 1.396 * [backup-simplify]: Simplify (* 1 1) into 1 1.396 * [backup-simplify]: Simplify (/ 1 1) into 1 1.396 * [backup-simplify]: Simplify (+ 0 1) into 1 1.396 * [backup-simplify]: Simplify (sqrt 1) into 1 1.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.397 * [backup-simplify]: Simplify (+ 0 0) into 0 1.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.398 * [backup-simplify]: Simplify (+ 1 1) into 2 1.398 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.398 * [backup-simplify]: Simplify (sqrt 0) into 0 1.399 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 1.399 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 1.399 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.399 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.399 * [taylor]: Taking taylor expansion of 2.0 in im 1.399 * [backup-simplify]: Simplify 2.0 into 2.0 1.399 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.400 * [taylor]: Taking taylor expansion of im in im 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 1 into 1 1.401 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.401 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.401 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.401 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.401 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.401 * [taylor]: Taking taylor expansion of re in im 1.401 * [backup-simplify]: Simplify re into re 1.401 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.401 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.401 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.401 * [taylor]: Taking taylor expansion of im in im 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 1 into 1 1.401 * [backup-simplify]: Simplify (* 1 1) into 1 1.401 * [backup-simplify]: Simplify (/ 1 1) into 1 1.401 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.401 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.401 * [taylor]: Taking taylor expansion of re in im 1.401 * [backup-simplify]: Simplify re into re 1.401 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.402 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.402 * [backup-simplify]: Simplify (+ 1 0) into 1 1.402 * [backup-simplify]: Simplify (sqrt 1) into 1 1.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.403 * [backup-simplify]: Simplify (+ 0 0) into 0 1.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.404 * [backup-simplify]: Simplify (+ 0 1) into 1 1.404 * [backup-simplify]: Simplify (/ 1 1) into 1 1.404 * [backup-simplify]: Simplify (sqrt 0) into 0 1.405 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.405 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 1.405 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.405 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.405 * [taylor]: Taking taylor expansion of 2.0 in im 1.405 * [backup-simplify]: Simplify 2.0 into 2.0 1.405 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.405 * [taylor]: Taking taylor expansion of im in im 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify 1 into 1 1.406 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.406 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.406 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.406 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.406 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.406 * [taylor]: Taking taylor expansion of re in im 1.406 * [backup-simplify]: Simplify re into re 1.406 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.406 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.406 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.406 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.406 * [taylor]: Taking taylor expansion of im in im 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify 1 into 1 1.406 * [backup-simplify]: Simplify (* 1 1) into 1 1.407 * [backup-simplify]: Simplify (/ 1 1) into 1 1.407 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.407 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.407 * [taylor]: Taking taylor expansion of re in im 1.407 * [backup-simplify]: Simplify re into re 1.407 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.407 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.407 * [backup-simplify]: Simplify (+ 1 0) into 1 1.407 * [backup-simplify]: Simplify (sqrt 1) into 1 1.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.408 * [backup-simplify]: Simplify (+ 0 0) into 0 1.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.409 * [backup-simplify]: Simplify (+ 0 1) into 1 1.409 * [backup-simplify]: Simplify (/ 1 1) into 1 1.409 * [backup-simplify]: Simplify (sqrt 0) into 0 1.410 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.410 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.410 * [taylor]: Taking taylor expansion of 0 in re 1.410 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.412 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.412 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 1.412 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.412 * [taylor]: Taking taylor expansion of +nan.0 in re 1.412 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.412 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.412 * [taylor]: Taking taylor expansion of 2.0 in re 1.412 * [backup-simplify]: Simplify 2.0 into 2.0 1.413 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.413 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.414 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.415 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 1.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 1.416 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 1.417 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.418 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 1.418 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.418 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.418 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.418 * [taylor]: Taking taylor expansion of +nan.0 in re 1.418 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.418 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.418 * [taylor]: Taking taylor expansion of 2.0 in re 1.418 * [backup-simplify]: Simplify 2.0 into 2.0 1.419 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.419 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.419 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.419 * [taylor]: Taking taylor expansion of +nan.0 in re 1.419 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.419 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.419 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.419 * [taylor]: Taking taylor expansion of 2.0 in re 1.419 * [backup-simplify]: Simplify 2.0 into 2.0 1.419 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.420 * [taylor]: Taking taylor expansion of re in re 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify 1 into 1 1.420 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.421 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.422 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.422 * [backup-simplify]: Simplify (- 0) into 0 1.423 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 1.424 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.425 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.425 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.426 * [backup-simplify]: Simplify (- 0) into 0 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.427 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 1.428 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 1.428 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 1.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 1.429 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 1.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.431 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 1.431 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 1.431 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 1.431 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.431 * [taylor]: Taking taylor expansion of +nan.0 in re 1.431 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.431 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.431 * [taylor]: Taking taylor expansion of 2.0 in re 1.431 * [backup-simplify]: Simplify 2.0 into 2.0 1.432 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.432 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.432 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.432 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.432 * [taylor]: Taking taylor expansion of +nan.0 in re 1.432 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.432 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.432 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.432 * [taylor]: Taking taylor expansion of 2.0 in re 1.432 * [backup-simplify]: Simplify 2.0 into 2.0 1.432 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.433 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.433 * [taylor]: Taking taylor expansion of re in re 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 1 into 1 1.433 * [backup-simplify]: Simplify (* 1 1) into 1 1.434 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.434 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.434 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.434 * [taylor]: Taking taylor expansion of +nan.0 in re 1.434 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.434 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.434 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.434 * [taylor]: Taking taylor expansion of 2.0 in re 1.434 * [backup-simplify]: Simplify 2.0 into 2.0 1.434 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.434 * [taylor]: Taking taylor expansion of re in re 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify 1 into 1 1.435 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.435 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.436 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.439 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 1.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.439 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.440 * [backup-simplify]: Simplify (- 0) into 0 1.440 * [backup-simplify]: Simplify (+ 0 0) into 0 1.440 * [backup-simplify]: Simplify (- 0) into 0 1.441 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 1.442 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.443 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.446 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 im)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 im))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) 1.446 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 (- im)) (/ (/ 1 (- im)) (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 1.446 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 1.446 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 1.446 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.446 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.446 * [taylor]: Taking taylor expansion of 2.0 in re 1.447 * [backup-simplify]: Simplify 2.0 into 2.0 1.447 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.447 * [taylor]: Taking taylor expansion of im in re 1.447 * [backup-simplify]: Simplify im into im 1.448 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 1.448 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 1.448 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 1.448 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.448 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.448 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.448 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.448 * [taylor]: Taking taylor expansion of im in re 1.448 * [backup-simplify]: Simplify im into im 1.448 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.448 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.448 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.448 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.448 * [taylor]: Taking taylor expansion of re in re 1.448 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify 1 into 1 1.448 * [backup-simplify]: Simplify (* 1 1) into 1 1.448 * [backup-simplify]: Simplify (/ 1 1) into 1 1.449 * [backup-simplify]: Simplify (+ 0 1) into 1 1.449 * [backup-simplify]: Simplify (sqrt 1) into 1 1.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.450 * [backup-simplify]: Simplify (+ 0 0) into 0 1.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.450 * [taylor]: Taking taylor expansion of (/ 1 re) 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 (/ 1 1) into 1 1.451 * [backup-simplify]: Simplify (- 1) into -1 1.451 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.451 * [backup-simplify]: Simplify (- 0) into 0 1.452 * [backup-simplify]: Simplify (+ 0 0) into 0 1.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.453 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.454 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.454 * [backup-simplify]: Simplify (- 0) into 0 1.454 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.454 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 1.455 * [backup-simplify]: Simplify (sqrt 0) into 0 1.455 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 1.455 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 1.455 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.455 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.455 * [taylor]: Taking taylor expansion of 2.0 in im 1.455 * [backup-simplify]: Simplify 2.0 into 2.0 1.455 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 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 1.457 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.457 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.457 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.457 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.457 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.457 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.457 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.457 * [taylor]: Taking taylor expansion of im in im 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 1 into 1 1.457 * [backup-simplify]: Simplify (* 1 1) into 1 1.457 * [backup-simplify]: Simplify (/ 1 1) into 1 1.457 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.457 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.457 * [taylor]: Taking taylor expansion of re in im 1.457 * [backup-simplify]: Simplify re into re 1.457 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.457 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.458 * [backup-simplify]: Simplify (+ 1 0) into 1 1.458 * [backup-simplify]: Simplify (sqrt 1) into 1 1.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.459 * [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 (/ 1 re) in im 1.459 * [taylor]: Taking taylor expansion of re in im 1.459 * [backup-simplify]: Simplify re into re 1.459 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.460 * [backup-simplify]: Simplify (+ 1 0) into 1 1.460 * [backup-simplify]: Simplify (/ 1 1) into 1 1.460 * [backup-simplify]: Simplify (sqrt 0) into 0 1.461 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.461 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 1.461 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.461 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.461 * [taylor]: Taking taylor expansion of 2.0 in im 1.461 * [backup-simplify]: Simplify 2.0 into 2.0 1.461 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.462 * [taylor]: Taking taylor expansion of im in im 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 1 into 1 1.462 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.462 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.462 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.462 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.462 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.462 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.462 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.462 * [taylor]: Taking taylor expansion of im in im 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 1 into 1 1.463 * [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 re 2)) in im 1.463 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.463 * [taylor]: Taking taylor expansion of re in im 1.463 * [backup-simplify]: Simplify re into re 1.463 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.463 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.463 * [backup-simplify]: Simplify (+ 1 0) into 1 1.464 * [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 re) in im 1.465 * [taylor]: Taking taylor expansion of re in im 1.465 * [backup-simplify]: Simplify re into re 1.465 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.465 * [backup-simplify]: Simplify (+ 1 0) into 1 1.465 * [backup-simplify]: Simplify (/ 1 1) into 1 1.466 * [backup-simplify]: Simplify (sqrt 0) into 0 1.466 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.467 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.467 * [taylor]: Taking taylor expansion of 0 in re 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.468 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.468 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 1.468 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.468 * [taylor]: Taking taylor expansion of +nan.0 in re 1.468 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.468 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.468 * [taylor]: Taking taylor expansion of 2.0 in re 1.469 * [backup-simplify]: Simplify 2.0 into 2.0 1.469 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 1.469 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 1.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 1.470 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 1.471 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.472 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 1.472 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.472 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.472 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.472 * [taylor]: Taking taylor expansion of +nan.0 in re 1.472 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.472 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.472 * [taylor]: Taking taylor expansion of 2.0 in re 1.472 * [backup-simplify]: Simplify 2.0 into 2.0 1.472 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.476 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.476 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.476 * [taylor]: Taking taylor expansion of +nan.0 in re 1.476 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.476 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.476 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.476 * [taylor]: Taking taylor expansion of 2.0 in re 1.476 * [backup-simplify]: Simplify 2.0 into 2.0 1.476 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 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 1.477 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.477 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.478 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.480 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.481 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.482 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.482 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.483 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.484 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.484 * [backup-simplify]: Simplify 0 into 0 1.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.485 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 1.486 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 1.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.486 * [backup-simplify]: Simplify (- 0) into 0 1.486 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 1.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 1.487 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 1.488 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.489 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 1.489 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 1.489 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 1.489 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.490 * [taylor]: Taking taylor expansion of +nan.0 in re 1.490 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.490 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.490 * [taylor]: Taking taylor expansion of 2.0 in re 1.490 * [backup-simplify]: Simplify 2.0 into 2.0 1.490 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.490 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.490 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.490 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.490 * [taylor]: Taking taylor expansion of +nan.0 in re 1.490 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.490 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.490 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.490 * [taylor]: Taking taylor expansion of 2.0 in re 1.490 * [backup-simplify]: Simplify 2.0 into 2.0 1.491 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 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 (* 1 1) into 1 1.492 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.492 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.492 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.492 * [taylor]: Taking taylor expansion of +nan.0 in re 1.492 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.492 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.492 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.492 * [taylor]: Taking taylor expansion of 2.0 in re 1.492 * [backup-simplify]: Simplify 2.0 into 2.0 1.492 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.493 * [taylor]: Taking taylor expansion of re in re 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify 1 into 1 1.493 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.495 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.495 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.496 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.497 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.499 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.500 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.501 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.502 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.505 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (/ 1 (- im)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 1.505 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 2) 1.505 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 1.505 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 1.505 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.505 * [taylor]: Taking taylor expansion of re in im 1.505 * [backup-simplify]: Simplify re into re 1.505 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.505 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.505 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.505 * [taylor]: Taking taylor expansion of re in im 1.505 * [backup-simplify]: Simplify re into re 1.505 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.505 * [taylor]: Taking taylor expansion of im in im 1.505 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify 1 into 1 1.505 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.506 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.506 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.506 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.506 * [backup-simplify]: Simplify (+ 0 0) into 0 1.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.506 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.506 * [taylor]: Taking taylor expansion of re in re 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 1 into 1 1.506 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.506 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.506 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.506 * [taylor]: Taking taylor expansion of re in re 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 1 into 1 1.506 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.506 * [taylor]: Taking taylor expansion of im in re 1.506 * [backup-simplify]: Simplify im into im 1.506 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.506 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.506 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.506 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.507 * [backup-simplify]: Simplify (+ 0 0) into 0 1.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.507 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.507 * [taylor]: Taking taylor expansion of re in re 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify 1 into 1 1.507 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.507 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.507 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.507 * [taylor]: Taking taylor expansion of re in re 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify 1 into 1 1.507 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.507 * [taylor]: Taking taylor expansion of im in re 1.507 * [backup-simplify]: Simplify im into im 1.507 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.507 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.507 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.507 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.507 * [backup-simplify]: Simplify (+ 0 0) into 0 1.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.508 * [backup-simplify]: Simplify (+ 0 im) into 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 0 into 0 1.508 * [backup-simplify]: Simplify (+ 1 0) into 1 1.508 * [taylor]: Taking taylor expansion of 1 in im 1.508 * [backup-simplify]: Simplify 1 into 1 1.508 * [backup-simplify]: Simplify 1 into 1 1.508 * [backup-simplify]: Simplify 1 into 1 1.508 * [backup-simplify]: Simplify (* 1 1) into 1 1.509 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.509 * [backup-simplify]: Simplify (+ 1 0) into 1 1.509 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.509 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 1.509 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.509 * [taylor]: Taking taylor expansion of 1/2 in im 1.509 * [backup-simplify]: Simplify 1/2 into 1/2 1.509 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.509 * [taylor]: Taking taylor expansion of im in im 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify 1 into 1 1.510 * [backup-simplify]: Simplify (/ 1 1) into 1 1.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.511 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.512 * [backup-simplify]: Simplify (+ 0 0) into 0 1.512 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.512 * [backup-simplify]: Simplify (+ 0 0) 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 0 into 0 1.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 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 (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 1.513 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1.513 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.513 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.513 * [taylor]: Taking taylor expansion of (/ 1 re) 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 (/ 1 re) into (/ 1 re) 1.513 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 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 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.514 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.514 * [taylor]: Taking taylor expansion of re in im 1.514 * [backup-simplify]: Simplify re into re 1.514 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.514 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.514 * [backup-simplify]: Simplify (+ 1 0) into 1 1.515 * [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 1.516 * [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 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.516 * [taylor]: Taking taylor expansion of (/ 1 re) 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 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 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 1.516 * [backup-simplify]: Simplify im into im 1.516 * [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 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.517 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.517 * [taylor]: Taking taylor expansion of re in re 1.517 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify 1 into 1 1.517 * [backup-simplify]: Simplify (* 1 1) into 1 1.517 * [backup-simplify]: Simplify (/ 1 1) into 1 1.517 * [backup-simplify]: Simplify (+ 0 1) into 1 1.518 * [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 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.519 * [taylor]: Taking taylor expansion of (/ 1 re) 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 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 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)) 1.519 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.519 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.520 * [taylor]: Taking taylor expansion of re in re 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify 1 into 1 1.520 * [backup-simplify]: Simplify (* 1 1) into 1 1.520 * [backup-simplify]: Simplify (/ 1 1) into 1 1.520 * [backup-simplify]: Simplify (+ 0 1) into 1 1.520 * [backup-simplify]: Simplify (sqrt 1) into 1 1.521 * [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 1.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.522 * [backup-simplify]: Simplify (+ 1 1) into 2 1.522 * [taylor]: Taking taylor expansion of 2 in im 1.522 * [backup-simplify]: Simplify 2 into 2 1.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.523 * [backup-simplify]: Simplify (+ 0 0) into 0 1.523 * [taylor]: Taking taylor expansion of 0 in im 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify 2 into 2 1.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.524 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.525 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.525 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.525 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.525 * [taylor]: Taking taylor expansion of 1/2 in im 1.525 * [backup-simplify]: Simplify 1/2 into 1/2 1.525 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.525 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.525 * [taylor]: Taking taylor expansion of im in im 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify 1 into 1 1.526 * [backup-simplify]: Simplify (* 1 1) into 1 1.526 * [backup-simplify]: Simplify (/ 1 1) into 1 1.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.527 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.527 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.529 * [backup-simplify]: Simplify (+ 0 0) into 0 1.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.529 * [backup-simplify]: Simplify (+ 0 0) into 0 1.530 * [taylor]: Taking taylor expansion of 0 in im 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.531 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 1.531 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 1.531 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.531 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.531 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.531 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.531 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.531 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.531 * [taylor]: Taking taylor expansion of im in im 1.531 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify 1 into 1 1.532 * [backup-simplify]: Simplify (* 1 1) into 1 1.532 * [backup-simplify]: Simplify (/ 1 1) into 1 1.532 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.532 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.532 * [taylor]: Taking taylor expansion of re in im 1.532 * [backup-simplify]: Simplify re into re 1.532 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.532 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.532 * [backup-simplify]: Simplify (+ 1 0) into 1 1.533 * [backup-simplify]: Simplify (sqrt 1) into 1 1.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.534 * [backup-simplify]: Simplify (+ 0 0) into 0 1.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.534 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.534 * [taylor]: Taking taylor expansion of re in im 1.534 * [backup-simplify]: Simplify re into re 1.534 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.534 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.534 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.534 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.534 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.534 * [taylor]: Taking taylor expansion of im in re 1.534 * [backup-simplify]: Simplify im into im 1.534 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.534 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.534 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.534 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.534 * [taylor]: Taking taylor expansion of re in re 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify 1 into 1 1.535 * [backup-simplify]: Simplify (* 1 1) into 1 1.535 * [backup-simplify]: Simplify (/ 1 1) into 1 1.535 * [backup-simplify]: Simplify (+ 0 1) into 1 1.535 * [backup-simplify]: Simplify (sqrt 1) into 1 1.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.536 * [backup-simplify]: Simplify (+ 0 0) into 0 1.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.537 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.537 * [taylor]: Taking taylor expansion of re in re 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 1 into 1 1.537 * [backup-simplify]: Simplify (/ 1 1) into 1 1.537 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.537 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.537 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.537 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.537 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.537 * [taylor]: Taking taylor expansion of im in re 1.537 * [backup-simplify]: Simplify im into im 1.537 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.537 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.537 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.537 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.537 * [taylor]: Taking taylor expansion of re in re 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 1 into 1 1.538 * [backup-simplify]: Simplify (* 1 1) into 1 1.538 * [backup-simplify]: Simplify (/ 1 1) into 1 1.538 * [backup-simplify]: Simplify (+ 0 1) into 1 1.538 * [backup-simplify]: Simplify (sqrt 1) into 1 1.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.539 * [backup-simplify]: Simplify (+ 0 0) into 0 1.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.540 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.540 * [taylor]: Taking taylor expansion of re in re 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 1 into 1 1.540 * [backup-simplify]: Simplify (/ 1 1) into 1 1.540 * [backup-simplify]: Simplify (- 1) into -1 1.540 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.540 * [taylor]: Taking taylor expansion of 0 in im 1.540 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.541 * [backup-simplify]: Simplify (- 0) into 0 1.541 * [backup-simplify]: Simplify (+ 0 0) into 0 1.541 * [taylor]: Taking taylor expansion of 0 in im 1.541 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.542 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.543 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.544 * [backup-simplify]: Simplify (- 0) into 0 1.544 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.544 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.544 * [taylor]: Taking taylor expansion of 1/2 in im 1.544 * [backup-simplify]: Simplify 1/2 into 1/2 1.544 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.544 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.544 * [taylor]: Taking taylor expansion of im in im 1.544 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify 1 into 1 1.544 * [backup-simplify]: Simplify (* 1 1) into 1 1.545 * [backup-simplify]: Simplify (/ 1 1) into 1 1.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.546 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.547 * [backup-simplify]: Simplify (+ 0 0) into 0 1.548 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.548 * [backup-simplify]: Simplify (- 0) into 0 1.549 * [backup-simplify]: Simplify (+ 0 0) into 0 1.549 * [taylor]: Taking taylor expansion of 0 in im 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.550 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 1.550 * [backup-simplify]: Simplify (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re))) into (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) 1.550 * [approximate]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in (im re) around 0 1.551 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 1.551 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.551 * [taylor]: Taking taylor expansion of im in re 1.551 * [backup-simplify]: Simplify im into im 1.551 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.551 * [taylor]: Taking taylor expansion of re in re 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 1 into 1 1.551 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.551 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.551 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.551 * [taylor]: Taking taylor expansion of re in re 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 1 into 1 1.551 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.551 * [taylor]: Taking taylor expansion of im in re 1.551 * [backup-simplify]: Simplify im into im 1.551 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.551 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.551 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.551 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.551 * [backup-simplify]: Simplify (+ 0 0) into 0 1.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.551 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.551 * [backup-simplify]: Simplify (+ 0 im) into im 1.552 * [backup-simplify]: Simplify (/ (pow im 2) im) into im 1.552 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.552 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.552 * [taylor]: Taking taylor expansion of im in im 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 1 into 1 1.552 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.552 * [taylor]: Taking taylor expansion of re in im 1.552 * [backup-simplify]: Simplify re into re 1.552 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.552 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.552 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.552 * [taylor]: Taking taylor expansion of re in im 1.552 * [backup-simplify]: Simplify re into re 1.552 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.552 * [taylor]: Taking taylor expansion of im in im 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 1 into 1 1.552 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.552 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.552 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.552 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.552 * [backup-simplify]: Simplify (+ 0 0) into 0 1.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.553 * [backup-simplify]: Simplify (* 1 1) into 1 1.553 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 1.553 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 1.553 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.553 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.553 * [taylor]: Taking taylor expansion of im in im 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 1 into 1 1.553 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.553 * [taylor]: Taking taylor expansion of re in im 1.553 * [backup-simplify]: Simplify re into re 1.553 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.553 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.553 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.553 * [taylor]: Taking taylor expansion of re in im 1.553 * [backup-simplify]: Simplify re into re 1.553 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.553 * [taylor]: Taking taylor expansion of im in im 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 1 into 1 1.553 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.553 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.553 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.553 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.553 * [backup-simplify]: Simplify (+ 0 0) into 0 1.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.554 * [backup-simplify]: Simplify (* 1 1) into 1 1.554 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 1.554 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 1.554 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 1.554 * [taylor]: Taking taylor expansion of 1/2 in re 1.554 * [backup-simplify]: Simplify 1/2 into 1/2 1.554 * [taylor]: Taking taylor expansion of re in re 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 1 into 1 1.554 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.555 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.555 * [backup-simplify]: Simplify (+ 0 0) into 0 1.555 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 1.555 * [taylor]: Taking taylor expansion of 0 in re 1.555 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.556 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.557 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.557 * [backup-simplify]: Simplify (* 1 1) into 1 1.557 * [backup-simplify]: Simplify (+ 0 1) into 1 1.558 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 1.558 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 1.558 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 1.558 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow re 3)))) in re 1.558 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow re 3))) in re 1.558 * [taylor]: Taking taylor expansion of 1/8 in re 1.558 * [backup-simplify]: Simplify 1/8 into 1/8 1.558 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 1.558 * [taylor]: Taking taylor expansion of (pow re 3) in re 1.558 * [taylor]: Taking taylor expansion of re in re 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify 1 into 1 1.558 * [backup-simplify]: Simplify (* 1 1) into 1 1.559 * [backup-simplify]: Simplify (* 1 1) into 1 1.559 * [backup-simplify]: Simplify (/ 1 1) into 1 1.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.563 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.564 * [backup-simplify]: Simplify (- 0) into 0 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify (* (/ 1 im) (/ (/ 1 im) (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) 1.564 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in (im re) around 0 1.564 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in re 1.567 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in re 1.567 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.567 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.567 * [taylor]: Taking taylor expansion of re in re 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 1.568 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.568 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.568 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.568 * [taylor]: Taking taylor expansion of im in re 1.568 * [backup-simplify]: Simplify im into im 1.568 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.568 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 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 1.568 * [backup-simplify]: Simplify (* 1 1) into 1 1.568 * [backup-simplify]: Simplify (/ 1 1) into 1 1.569 * [backup-simplify]: Simplify (+ 0 1) into 1 1.569 * [backup-simplify]: Simplify (sqrt 1) into 1 1.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.570 * [backup-simplify]: Simplify (+ 0 0) into 0 1.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.570 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.570 * [taylor]: Taking taylor expansion of im in re 1.570 * [backup-simplify]: Simplify im into im 1.570 * [backup-simplify]: Simplify (+ 1 1) into 2 1.570 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.571 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2)) 1.571 * [backup-simplify]: Simplify (/ 1 (* 2 (pow im 2))) into (/ 1/2 (pow im 2)) 1.571 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 1.571 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 1.571 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.571 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.571 * [taylor]: Taking taylor expansion of re in im 1.571 * [backup-simplify]: Simplify re into re 1.571 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.571 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.571 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.571 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.571 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.571 * [taylor]: Taking taylor expansion of im in im 1.571 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify 1 into 1 1.571 * [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 re 2)) in im 1.571 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.571 * [taylor]: Taking taylor expansion of re in im 1.571 * [backup-simplify]: Simplify re into re 1.572 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.572 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.572 * [backup-simplify]: Simplify (+ 1 0) into 1 1.572 * [backup-simplify]: Simplify (sqrt 1) into 1 1.572 * [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 1.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.573 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.573 * [taylor]: Taking taylor expansion of im in im 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 1 into 1 1.574 * [backup-simplify]: Simplify (+ 0 1) into 1 1.574 * [backup-simplify]: Simplify (* 1 1) into 1 1.574 * [backup-simplify]: Simplify (* 1 1) into 1 1.574 * [backup-simplify]: Simplify (/ 1 1) into 1 1.574 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 1.574 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 1.574 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.575 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.575 * [taylor]: Taking taylor expansion of re in im 1.575 * [backup-simplify]: Simplify re into re 1.575 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.575 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.575 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.575 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.575 * [taylor]: Taking taylor expansion of im in im 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 1 into 1 1.575 * [backup-simplify]: Simplify (* 1 1) into 1 1.575 * [backup-simplify]: Simplify (/ 1 1) into 1 1.575 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.575 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.575 * [taylor]: Taking taylor expansion of re in im 1.575 * [backup-simplify]: Simplify re into re 1.575 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.575 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.576 * [backup-simplify]: Simplify (+ 1 0) into 1 1.576 * [backup-simplify]: Simplify (sqrt 1) into 1 1.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.577 * [backup-simplify]: Simplify (+ 0 0) into 0 1.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.577 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.577 * [taylor]: Taking taylor expansion of im in im 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify 1 into 1 1.578 * [backup-simplify]: Simplify (+ 0 1) into 1 1.578 * [backup-simplify]: Simplify (* 1 1) into 1 1.578 * [backup-simplify]: Simplify (* 1 1) into 1 1.578 * [backup-simplify]: Simplify (/ 1 1) into 1 1.578 * [taylor]: Taking taylor expansion of 1 in re 1.578 * [backup-simplify]: Simplify 1 into 1 1.578 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.579 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 1.579 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re) 1.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 1.579 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.579 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.579 * [taylor]: Taking taylor expansion of re in re 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.579 * [backup-simplify]: Simplify (/ 1 1) into 1 1.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.580 * [backup-simplify]: Simplify (- 0) into 0 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.582 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 1.583 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 1.583 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 1.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 1.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 1.584 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 1.584 * [taylor]: Taking taylor expansion of 1/2 in re 1.584 * [backup-simplify]: Simplify 1/2 into 1/2 1.584 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.584 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.584 * [taylor]: Taking taylor expansion of re in re 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 1 into 1 1.584 * [backup-simplify]: Simplify (* 1 1) into 1 1.584 * [backup-simplify]: Simplify (/ 1 1) into 1 1.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.587 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.588 * [backup-simplify]: Simplify (- 0) into 0 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify (* (/ 1 (- im)) (/ (/ 1 (- im)) (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) 1.589 * [approximate]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in (im re) around 0 1.589 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in re 1.589 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in re 1.589 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.589 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.589 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.589 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.589 * [taylor]: Taking taylor expansion of im in re 1.589 * [backup-simplify]: Simplify im into im 1.589 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.589 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.589 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.589 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.589 * [taylor]: Taking taylor expansion of re in re 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 1 into 1 1.589 * [backup-simplify]: Simplify (* 1 1) into 1 1.589 * [backup-simplify]: Simplify (/ 1 1) into 1 1.590 * [backup-simplify]: Simplify (+ 0 1) into 1 1.590 * [backup-simplify]: Simplify (sqrt 1) into 1 1.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.591 * [backup-simplify]: Simplify (+ 0 0) into 0 1.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.591 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.591 * [taylor]: Taking taylor expansion of re in re 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify 1 into 1 1.592 * [backup-simplify]: Simplify (/ 1 1) into 1 1.592 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.592 * [taylor]: Taking taylor expansion of im in re 1.592 * [backup-simplify]: Simplify im into im 1.592 * [backup-simplify]: Simplify (- 1) into -1 1.592 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.592 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.592 * [backup-simplify]: Simplify (* 0 (pow im 2)) into 0 1.592 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.593 * [backup-simplify]: Simplify (- 0) into 0 1.593 * [backup-simplify]: Simplify (+ 0 0) into 0 1.593 * [backup-simplify]: Simplify (+ (* 0 0) (* 0 (pow im 2))) into 0 1.594 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.595 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.596 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.596 * [backup-simplify]: Simplify (- 0) into 0 1.597 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.597 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0 0) (* (* 1/2 (/ 1 (pow im 2))) (pow im 2)))) into 1/2 1.597 * [backup-simplify]: Simplify (/ 1 1/2) into 2 1.597 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 1.597 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 1.597 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.597 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.597 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 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 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.598 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.598 * [taylor]: Taking taylor expansion of re in im 1.598 * [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 * [backup-simplify]: Simplify (+ 1 0) into 1 1.599 * [backup-simplify]: Simplify (sqrt 1) into 1 1.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.600 * [backup-simplify]: Simplify (+ 0 0) into 0 1.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.600 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.600 * [taylor]: Taking taylor expansion of re in im 1.600 * [backup-simplify]: Simplify re into re 1.600 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.600 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.600 * [taylor]: Taking taylor expansion of im in im 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 1 into 1 1.600 * [backup-simplify]: Simplify (+ 1 0) into 1 1.601 * [backup-simplify]: Simplify (* 1 1) into 1 1.601 * [backup-simplify]: Simplify (* 1 1) into 1 1.601 * [backup-simplify]: Simplify (/ 1 1) into 1 1.601 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 1.601 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 1.601 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.601 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.601 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.601 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.601 * [taylor]: Taking taylor expansion of im in im 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 re 2)) in im 1.602 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.602 * [taylor]: Taking taylor expansion of re in im 1.602 * [backup-simplify]: Simplify re into re 1.602 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.602 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.602 * [backup-simplify]: Simplify (+ 1 0) into 1 1.602 * [backup-simplify]: Simplify (sqrt 1) into 1 1.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.603 * [backup-simplify]: Simplify (+ 0 0) into 0 1.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.604 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.604 * [taylor]: Taking taylor expansion of re in im 1.604 * [backup-simplify]: Simplify re into re 1.604 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.604 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.604 * [taylor]: Taking taylor expansion of im in im 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify 1 into 1 1.604 * [backup-simplify]: Simplify (+ 1 0) into 1 1.604 * [backup-simplify]: Simplify (* 1 1) into 1 1.605 * [backup-simplify]: Simplify (* 1 1) into 1 1.605 * [backup-simplify]: Simplify (/ 1 1) into 1 1.605 * [taylor]: Taking taylor expansion of 1 in re 1.605 * [backup-simplify]: Simplify 1 into 1 1.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.605 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 1.605 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 1.606 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 re)) 1)) into (- (/ 1 re)) 1.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 1.606 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.606 * [taylor]: Taking taylor expansion of re in re 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 1 into 1 1.606 * [backup-simplify]: Simplify (/ 1 1) into 1 1.606 * [backup-simplify]: Simplify 1 into 1 1.606 * [backup-simplify]: Simplify 1 into 1 1.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.608 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 1.608 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 1.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.609 * [backup-simplify]: Simplify (- 0) into 0 1.609 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 1.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 1.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 1.610 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 1.610 * [taylor]: Taking taylor expansion of 1/2 in re 1.610 * [backup-simplify]: Simplify 1/2 into 1/2 1.610 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.610 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.610 * [taylor]: Taking taylor expansion of re in re 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 1 into 1 1.610 * [backup-simplify]: Simplify (* 1 1) into 1 1.610 * [backup-simplify]: Simplify (/ 1 1) into 1 1.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.611 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.611 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.613 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.614 * [backup-simplify]: Simplify (+ 0 0) into 0 1.614 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 1.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.614 * [backup-simplify]: Simplify (- 0) into 0 1.615 * [backup-simplify]: Simplify (+ 0 0) into 0 1.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (+ (* (* 1/2 (/ 1 (pow re 2))) 0) (* 0 1)))) into 0 1.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 re) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1/2 (/ 1 (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0 1.616 * [taylor]: Taking taylor expansion of 0 in re 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.617 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* 1 (* (/ 1 (/ 1 (- re))) 1))) into (- (+ re im)) 1.618 * * * [progress]: simplifying candidates 1.619 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))))) (exp (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re))))))) (cbrt (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (* (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt 2.0) (sqrt (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re))) (+ (log im) (- (log im) (log (+ (sqrt (+ (* re re) (* im im))) re)))) (+ (log im) (log (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (log (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (* im im) im) (/ (* (* im im) im) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (* im im) im) (* (* (/ im (+ (sqrt (+ (* re re) (* im im))) re)) (/ im (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re))) (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt im) (sqrt (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt im) (sqrt (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt im) (/ (sqrt im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt im) (/ (sqrt im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* im (* (cbrt (/ im (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ im (+ (sqrt (+ (* re re) (* im im))) re))))) (* im (sqrt (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (* im (/ (* (cbrt im) (cbrt im)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* im (/ (* (cbrt im) (cbrt im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* im (/ (* (cbrt im) (cbrt im)) 1)) (* im (/ (* (cbrt im) (cbrt im)) 1)) (* im (/ (sqrt im) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* im (/ (sqrt im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* im (/ (sqrt im) 1)) (* im (/ (sqrt im) 1)) (* im (/ 1 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* im (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* im (/ 1 1)) (* im (/ 1 1)) (* im 1) (* im im) (* im (/ im (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (* im (/ im (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (* (cbrt im) (/ im (+ (sqrt (+ (* re re) (* im im))) re))) (* (sqrt im) (/ im (+ (sqrt (+ (* re re) (* im im))) re))) (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re))) (* im im) im re (* -1 re) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) (+ re im) (* 2 re) 0 0 0 (- (+ re im)) 1.620 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (exp (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (* (cbrt (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (cbrt (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))))) (cbrt (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (* (* (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (sqrt h2) (sqrt (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h2 (* h0 h0))) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (sqrt (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (* (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1)) (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (exp (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (* (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)) (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (+ (log h0) (- (log h0) (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (+ (log h0) (log (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (log (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (exp (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (* (* h0 h0) h0) (/ (* (* h0 h0) h0) (* (* (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (* (* h0 h0) h0) (* (* (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (cbrt (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (cbrt (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (cbrt (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (* (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (sqrt h0) (sqrt (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (sqrt h0) (sqrt (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (sqrt h0) (/ (sqrt h0) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (sqrt h0) (/ (sqrt h0) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* h0 (* (cbrt (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (* h0 (sqrt (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* h0 (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (* h0 (/ (* (cbrt h0) (cbrt h0)) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* h0 (/ (* (cbrt h0) (cbrt h0)) 1)) (* h0 (/ (* (cbrt h0) (cbrt h0)) 1)) (* h0 (/ (sqrt h0) (* (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (* h0 (/ (sqrt h0) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* h0 (/ (sqrt h0) 1)) (* h0 (/ (sqrt h0) 1)) (* h0 (/ 1 (* (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (* h0 (/ 1 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* h0 (/ 1 1)) (* h0 (/ 1 1)) (* h0 1) (* h0 h0) (* h0 (/ h0 (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)))) (* h0 (/ h0 (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)))) (* (cbrt h0) (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (* (sqrt h0) (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (* h0 h0) h0 h1 (* -1 h1) (- (+ (* h3 (* (sqrt h2) (* (sqrt 1/2) (* h0 h1)))) (- (+ (* h3 (* (sqrt h2) (* (sqrt 1/2) h0))) (- (* h3 (/ (* (sqrt h2) (pow h0 3)) (sqrt 1/2)))))))) (- (+ (* h3 (/ (sqrt h2) (pow h0 2))) (- (+ (* h3 (/ (sqrt h2) h0)) (- (* h3 (sqrt h2))))))) (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (* (sqrt h2) h1) h0)) (- (* h3 (/ (* (sqrt h2) h1) (pow h0 2)))))))) (+ h1 h0) (* 2 h1) 0 0 0 (- (+ h1 h0)) 1.625 * * [simplify]: iteration 0 : 428 enodes (cost 701 ) 1.632 * * [simplify]: iteration 1 : 1831 enodes (cost 618 ) 1.680 * * [simplify]: iteration 2 : 5002 enodes (cost 614 ) 1.684 * * * [progress]: adding candidates to table 1.892 * * [progress]: iteration 4 / 4 1.892 * * * [progress]: picking best candidate 1.904 * * * * [pick]: Picked # 1.905 * * * [progress]: localizing error 1.923 * * * [progress]: generating rewritten candidates 1.923 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 2 2 2 1) 1.931 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 2 2 1) 1.939 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 2 2 2 1) 1.948 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 2.020 * * * [progress]: generating series expansions 2.020 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 2 2 2 1) 2.020 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.020 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.020 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.020 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.020 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.020 * [taylor]: Taking taylor expansion of re in im 2.020 * [backup-simplify]: Simplify re into re 2.020 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.020 * [taylor]: Taking taylor expansion of im in im 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 1 into 1 2.020 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.020 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.020 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.020 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.021 * [backup-simplify]: Simplify (+ 0 0) into 0 2.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.021 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.021 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.021 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.021 * [taylor]: Taking taylor expansion of re in re 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 1 into 1 2.021 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.021 * [taylor]: Taking taylor expansion of im in re 2.021 * [backup-simplify]: Simplify im into im 2.021 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.021 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.021 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.021 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.022 * [backup-simplify]: Simplify (+ 0 0) into 0 2.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.022 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.022 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.022 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.022 * [taylor]: Taking taylor expansion of re in re 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 1 into 1 2.022 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.022 * [taylor]: Taking taylor expansion of im in re 2.022 * [backup-simplify]: Simplify im into im 2.022 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.022 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.022 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.022 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.022 * [backup-simplify]: Simplify (+ 0 0) into 0 2.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.022 * [taylor]: Taking taylor expansion of im in im 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [taylor]: Taking taylor expansion of 0 in im 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [backup-simplify]: Simplify (* 1 1) into 1 2.023 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.023 * [backup-simplify]: Simplify (+ 1 0) into 1 2.024 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.024 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.024 * [taylor]: Taking taylor expansion of 1/2 in im 2.024 * [backup-simplify]: Simplify 1/2 into 1/2 2.024 * [taylor]: Taking taylor expansion of im in im 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 1 into 1 2.024 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.026 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.026 * [backup-simplify]: Simplify (+ 0 0) into 0 2.026 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.026 * [taylor]: Taking taylor expansion of 0 in im 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.027 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.027 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.027 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.027 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.027 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.027 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.027 * [taylor]: Taking taylor expansion of im in im 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (* 1 1) into 1 2.027 * [backup-simplify]: Simplify (/ 1 1) into 1 2.027 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.027 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.027 * [taylor]: Taking taylor expansion of re in im 2.027 * [backup-simplify]: Simplify re into re 2.028 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.028 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.028 * [backup-simplify]: Simplify (+ 1 0) into 1 2.028 * [backup-simplify]: Simplify (sqrt 1) into 1 2.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.029 * [backup-simplify]: Simplify (+ 0 0) into 0 2.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.030 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.030 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.030 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.030 * [taylor]: Taking taylor expansion of im in re 2.030 * [backup-simplify]: Simplify im into im 2.030 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.030 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.030 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.030 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.030 * [taylor]: Taking taylor expansion of re in re 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 1 into 1 2.030 * [backup-simplify]: Simplify (* 1 1) into 1 2.030 * [backup-simplify]: Simplify (/ 1 1) into 1 2.031 * [backup-simplify]: Simplify (+ 0 1) into 1 2.031 * [backup-simplify]: Simplify (sqrt 1) into 1 2.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.032 * [backup-simplify]: Simplify (+ 0 0) into 0 2.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.032 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.032 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.032 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.032 * [taylor]: Taking taylor expansion of im in re 2.032 * [backup-simplify]: Simplify im into im 2.032 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.033 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.033 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.033 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.033 * [taylor]: Taking taylor expansion of re in re 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (* 1 1) into 1 2.033 * [backup-simplify]: Simplify (/ 1 1) into 1 2.033 * [backup-simplify]: Simplify (+ 0 1) into 1 2.034 * [backup-simplify]: Simplify (sqrt 1) into 1 2.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.035 * [backup-simplify]: Simplify (+ 0 0) into 0 2.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.035 * [taylor]: Taking taylor expansion of 1 in im 2.035 * [backup-simplify]: Simplify 1 into 1 2.035 * [taylor]: Taking taylor expansion of 0 in im 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.036 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.037 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.037 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.037 * [taylor]: Taking taylor expansion of 1/2 in im 2.037 * [backup-simplify]: Simplify 1/2 into 1/2 2.037 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.037 * [taylor]: Taking taylor expansion of im in im 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 1 into 1 2.037 * [backup-simplify]: Simplify (* 1 1) into 1 2.037 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.040 * [backup-simplify]: Simplify (+ 0 0) into 0 2.040 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.040 * [taylor]: Taking taylor expansion of 0 in im 2.040 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.042 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.042 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.042 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.042 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.042 * [taylor]: Taking taylor expansion of im in im 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 1 into 1 2.042 * [backup-simplify]: Simplify (* 1 1) into 1 2.042 * [backup-simplify]: Simplify (/ 1 1) into 1 2.042 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.042 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.042 * [taylor]: Taking taylor expansion of re in im 2.042 * [backup-simplify]: Simplify re into re 2.042 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.042 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.043 * [backup-simplify]: Simplify (+ 1 0) into 1 2.043 * [backup-simplify]: Simplify (sqrt 1) into 1 2.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.044 * [backup-simplify]: Simplify (+ 0 0) into 0 2.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.044 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.044 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.044 * [taylor]: Taking taylor expansion of im in re 2.044 * [backup-simplify]: Simplify im into im 2.044 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.045 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.045 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.045 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.045 * [taylor]: Taking taylor expansion of re in re 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 1 into 1 2.045 * [backup-simplify]: Simplify (* 1 1) into 1 2.045 * [backup-simplify]: Simplify (/ 1 1) into 1 2.045 * [backup-simplify]: Simplify (+ 0 1) into 1 2.045 * [backup-simplify]: Simplify (sqrt 1) into 1 2.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.046 * [backup-simplify]: Simplify (+ 0 0) into 0 2.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.047 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.047 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.047 * [taylor]: Taking taylor expansion of im in re 2.047 * [backup-simplify]: Simplify im into im 2.047 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.047 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.047 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.047 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.047 * [taylor]: Taking taylor expansion of re in re 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify 1 into 1 2.047 * [backup-simplify]: Simplify (* 1 1) into 1 2.048 * [backup-simplify]: Simplify (/ 1 1) into 1 2.048 * [backup-simplify]: Simplify (+ 0 1) into 1 2.048 * [backup-simplify]: Simplify (sqrt 1) into 1 2.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.049 * [backup-simplify]: Simplify (+ 0 0) into 0 2.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.050 * [taylor]: Taking taylor expansion of 1 in im 2.050 * [backup-simplify]: Simplify 1 into 1 2.050 * [taylor]: Taking taylor expansion of 0 in im 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 1 into 1 2.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.051 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.051 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.051 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.052 * [taylor]: Taking taylor expansion of 1/2 in im 2.052 * [backup-simplify]: Simplify 1/2 into 1/2 2.052 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.052 * [taylor]: Taking taylor expansion of im in im 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify 1 into 1 2.052 * [backup-simplify]: Simplify (* 1 1) into 1 2.052 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.055 * [backup-simplify]: Simplify (+ 0 0) into 0 2.055 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.055 * [taylor]: Taking taylor expansion of 0 in im 2.055 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.056 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 2 2 1) 2.056 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.056 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.056 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.056 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.056 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.056 * [taylor]: Taking taylor expansion of re in im 2.057 * [backup-simplify]: Simplify re into re 2.057 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.057 * [taylor]: Taking taylor expansion of im in im 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify 1 into 1 2.057 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.057 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.057 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.057 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.057 * [backup-simplify]: Simplify (+ 0 0) into 0 2.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.057 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.057 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.057 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.057 * [taylor]: Taking taylor expansion of re in re 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify 1 into 1 2.057 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.057 * [taylor]: Taking taylor expansion of im in re 2.057 * [backup-simplify]: Simplify im into im 2.057 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.057 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.058 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.058 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.058 * [backup-simplify]: Simplify (+ 0 0) into 0 2.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.058 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.058 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.058 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.058 * [taylor]: Taking taylor expansion of re in re 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 1 into 1 2.058 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.058 * [taylor]: Taking taylor expansion of im in re 2.058 * [backup-simplify]: Simplify im into im 2.058 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.058 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.058 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.058 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.059 * [backup-simplify]: Simplify (+ 0 0) into 0 2.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.059 * [taylor]: Taking taylor expansion of im in im 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify 1 into 1 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [taylor]: Taking taylor expansion of 0 in im 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify 1 into 1 2.059 * [backup-simplify]: Simplify (* 1 1) into 1 2.059 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.060 * [backup-simplify]: Simplify (+ 1 0) into 1 2.060 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.060 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.060 * [taylor]: Taking taylor expansion of 1/2 in im 2.060 * [backup-simplify]: Simplify 1/2 into 1/2 2.060 * [taylor]: Taking taylor expansion of im in im 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.062 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.062 * [backup-simplify]: Simplify (+ 0 0) into 0 2.062 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.062 * [taylor]: Taking taylor expansion of 0 in im 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.063 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.063 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.063 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.063 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.063 * [taylor]: Taking taylor expansion of im in im 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [backup-simplify]: Simplify (* 1 1) into 1 2.064 * [backup-simplify]: Simplify (/ 1 1) into 1 2.064 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.064 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.064 * [taylor]: Taking taylor expansion of re in im 2.064 * [backup-simplify]: Simplify re into re 2.064 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.064 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.064 * [backup-simplify]: Simplify (+ 1 0) into 1 2.064 * [backup-simplify]: Simplify (sqrt 1) into 1 2.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.065 * [backup-simplify]: Simplify (+ 0 0) into 0 2.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.066 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.066 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.066 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.066 * [taylor]: Taking taylor expansion of im in re 2.066 * [backup-simplify]: Simplify im into im 2.066 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.066 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.066 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.066 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.066 * [taylor]: Taking taylor expansion of re in re 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 1 into 1 2.066 * [backup-simplify]: Simplify (* 1 1) into 1 2.066 * [backup-simplify]: Simplify (/ 1 1) into 1 2.067 * [backup-simplify]: Simplify (+ 0 1) into 1 2.067 * [backup-simplify]: Simplify (sqrt 1) into 1 2.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.068 * [backup-simplify]: Simplify (+ 0 0) into 0 2.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.068 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.068 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.068 * [taylor]: Taking taylor expansion of im in re 2.068 * [backup-simplify]: Simplify im into im 2.068 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.068 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.068 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.068 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.068 * [taylor]: Taking taylor expansion of re in re 2.068 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify 1 into 1 2.069 * [backup-simplify]: Simplify (* 1 1) into 1 2.069 * [backup-simplify]: Simplify (/ 1 1) into 1 2.069 * [backup-simplify]: Simplify (+ 0 1) into 1 2.069 * [backup-simplify]: Simplify (sqrt 1) into 1 2.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.070 * [backup-simplify]: Simplify (+ 0 0) into 0 2.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.071 * [taylor]: Taking taylor expansion of 1 in im 2.071 * [backup-simplify]: Simplify 1 into 1 2.071 * [taylor]: Taking taylor expansion of 0 in im 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 1 into 1 2.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.072 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.073 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.073 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.073 * [taylor]: Taking taylor expansion of 1/2 in im 2.073 * [backup-simplify]: Simplify 1/2 into 1/2 2.073 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.073 * [taylor]: Taking taylor expansion of im in im 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.073 * [backup-simplify]: Simplify (* 1 1) into 1 2.073 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.076 * [backup-simplify]: Simplify (+ 0 0) into 0 2.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.076 * [taylor]: Taking taylor expansion of 0 in im 2.076 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.078 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.078 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.078 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.078 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.078 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.078 * [taylor]: Taking taylor expansion of im in im 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 1 into 1 2.078 * [backup-simplify]: Simplify (* 1 1) into 1 2.078 * [backup-simplify]: Simplify (/ 1 1) into 1 2.078 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.078 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.078 * [taylor]: Taking taylor expansion of re in im 2.078 * [backup-simplify]: Simplify re into re 2.078 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.078 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.079 * [backup-simplify]: Simplify (+ 1 0) into 1 2.079 * [backup-simplify]: Simplify (sqrt 1) into 1 2.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.080 * [backup-simplify]: Simplify (+ 0 0) into 0 2.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.080 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.080 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.080 * [taylor]: Taking taylor expansion of im in re 2.080 * [backup-simplify]: Simplify im into im 2.080 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.080 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.080 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.080 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.080 * [taylor]: Taking taylor expansion of re in re 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 1 into 1 2.081 * [backup-simplify]: Simplify (* 1 1) into 1 2.081 * [backup-simplify]: Simplify (/ 1 1) into 1 2.081 * [backup-simplify]: Simplify (+ 0 1) into 1 2.081 * [backup-simplify]: Simplify (sqrt 1) into 1 2.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.083 * [backup-simplify]: Simplify (+ 0 0) into 0 2.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.083 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.083 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.083 * [taylor]: Taking taylor expansion of im in re 2.083 * [backup-simplify]: Simplify im into im 2.083 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.083 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.083 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.083 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.083 * [taylor]: Taking taylor expansion of re in re 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 1 into 1 2.084 * [backup-simplify]: Simplify (* 1 1) into 1 2.084 * [backup-simplify]: Simplify (/ 1 1) into 1 2.084 * [backup-simplify]: Simplify (+ 0 1) into 1 2.084 * [backup-simplify]: Simplify (sqrt 1) into 1 2.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.085 * [backup-simplify]: Simplify (+ 0 0) into 0 2.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.086 * [taylor]: Taking taylor expansion of 1 in im 2.086 * [backup-simplify]: Simplify 1 into 1 2.086 * [taylor]: Taking taylor expansion of 0 in im 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 1 into 1 2.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.089 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.090 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.090 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.090 * [taylor]: Taking taylor expansion of 1/2 in im 2.090 * [backup-simplify]: Simplify 1/2 into 1/2 2.090 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.090 * [taylor]: Taking taylor expansion of im in im 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.091 * [backup-simplify]: Simplify (* 1 1) into 1 2.091 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.093 * [backup-simplify]: Simplify (+ 0 0) into 0 2.093 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.094 * [taylor]: Taking taylor expansion of 0 in im 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.095 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1 2 2 2 1) 2.095 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.095 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.095 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.095 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.095 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.095 * [taylor]: Taking taylor expansion of re in im 2.095 * [backup-simplify]: Simplify re into re 2.095 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.095 * [taylor]: Taking taylor expansion of im in im 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 1 into 1 2.095 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.095 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.095 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.095 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.096 * [backup-simplify]: Simplify (+ 0 0) into 0 2.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.096 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.096 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.096 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.096 * [taylor]: Taking taylor expansion of re in re 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 1 into 1 2.096 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.096 * [taylor]: Taking taylor expansion of im in re 2.096 * [backup-simplify]: Simplify im into im 2.096 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.096 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.096 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.096 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.096 * [backup-simplify]: Simplify (+ 0 0) into 0 2.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.096 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.096 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.096 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.096 * [taylor]: Taking taylor expansion of re in re 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 1 into 1 2.097 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.097 * [taylor]: Taking taylor expansion of im in re 2.097 * [backup-simplify]: Simplify im into im 2.097 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.097 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.097 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.097 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.097 * [backup-simplify]: Simplify (+ 0 0) into 0 2.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.097 * [taylor]: Taking taylor expansion of im in im 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify 1 into 1 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [taylor]: Taking taylor expansion of 0 in im 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify 1 into 1 2.098 * [backup-simplify]: Simplify (* 1 1) into 1 2.098 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.098 * [backup-simplify]: Simplify (+ 1 0) into 1 2.098 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.098 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.099 * [taylor]: Taking taylor expansion of 1/2 in im 2.099 * [backup-simplify]: Simplify 1/2 into 1/2 2.099 * [taylor]: Taking taylor expansion of im in im 2.099 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify 1 into 1 2.099 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.099 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.100 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.100 * [backup-simplify]: Simplify (+ 0 0) into 0 2.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.100 * [taylor]: Taking taylor expansion of 0 in im 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.101 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.101 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.101 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.101 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.101 * [taylor]: Taking taylor expansion of im in im 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify 1 into 1 2.102 * [backup-simplify]: Simplify (* 1 1) into 1 2.102 * [backup-simplify]: Simplify (/ 1 1) into 1 2.102 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.102 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.102 * [taylor]: Taking taylor expansion of re in im 2.102 * [backup-simplify]: Simplify re into re 2.102 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.102 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.102 * [backup-simplify]: Simplify (+ 1 0) into 1 2.103 * [backup-simplify]: Simplify (sqrt 1) into 1 2.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.104 * [backup-simplify]: Simplify (+ 0 0) into 0 2.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.104 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.104 * [taylor]: Taking taylor expansion of im in re 2.104 * [backup-simplify]: Simplify im into im 2.104 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.104 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.104 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.104 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.104 * [taylor]: Taking taylor expansion of re in re 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 1 into 1 2.104 * [backup-simplify]: Simplify (* 1 1) into 1 2.105 * [backup-simplify]: Simplify (/ 1 1) into 1 2.105 * [backup-simplify]: Simplify (+ 0 1) into 1 2.105 * [backup-simplify]: Simplify (sqrt 1) into 1 2.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.106 * [backup-simplify]: Simplify (+ 0 0) into 0 2.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.106 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.107 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.107 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.107 * [taylor]: Taking taylor expansion of im in re 2.107 * [backup-simplify]: Simplify im into im 2.107 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.107 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.107 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.107 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.107 * [taylor]: Taking taylor expansion of re in re 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [backup-simplify]: Simplify (* 1 1) into 1 2.107 * [backup-simplify]: Simplify (/ 1 1) into 1 2.108 * [backup-simplify]: Simplify (+ 0 1) into 1 2.108 * [backup-simplify]: Simplify (sqrt 1) into 1 2.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.109 * [backup-simplify]: Simplify (+ 0 0) into 0 2.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.109 * [taylor]: Taking taylor expansion of 1 in im 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [taylor]: Taking taylor expansion of 0 in im 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.110 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.111 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.111 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.111 * [taylor]: Taking taylor expansion of 1/2 in im 2.111 * [backup-simplify]: Simplify 1/2 into 1/2 2.111 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.111 * [taylor]: Taking taylor expansion of im in im 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 1 into 1 2.112 * [backup-simplify]: Simplify (* 1 1) into 1 2.112 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.114 * [backup-simplify]: Simplify (+ 0 0) into 0 2.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.115 * [taylor]: Taking taylor expansion of 0 in im 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.116 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.116 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.116 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.116 * [taylor]: Taking taylor expansion of im in im 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify 1 into 1 2.116 * [backup-simplify]: Simplify (* 1 1) into 1 2.117 * [backup-simplify]: Simplify (/ 1 1) into 1 2.117 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.117 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.117 * [taylor]: Taking taylor expansion of re in im 2.117 * [backup-simplify]: Simplify re into re 2.117 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.117 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.117 * [backup-simplify]: Simplify (+ 1 0) into 1 2.117 * [backup-simplify]: Simplify (sqrt 1) into 1 2.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.118 * [backup-simplify]: Simplify (+ 0 0) into 0 2.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.119 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.119 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.119 * [taylor]: Taking taylor expansion of im in re 2.119 * [backup-simplify]: Simplify im into im 2.119 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.119 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.119 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.119 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.119 * [taylor]: Taking taylor expansion of re in re 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 1 into 1 2.119 * [backup-simplify]: Simplify (* 1 1) into 1 2.119 * [backup-simplify]: Simplify (/ 1 1) into 1 2.120 * [backup-simplify]: Simplify (+ 0 1) into 1 2.120 * [backup-simplify]: Simplify (sqrt 1) into 1 2.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.121 * [backup-simplify]: Simplify (+ 0 0) into 0 2.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.121 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.121 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.121 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.121 * [taylor]: Taking taylor expansion of im in re 2.121 * [backup-simplify]: Simplify im into im 2.121 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.121 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.121 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.121 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.121 * [taylor]: Taking taylor expansion of re in re 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.122 * [backup-simplify]: Simplify (* 1 1) into 1 2.122 * [backup-simplify]: Simplify (/ 1 1) into 1 2.122 * [backup-simplify]: Simplify (+ 0 1) into 1 2.122 * [backup-simplify]: Simplify (sqrt 1) into 1 2.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.123 * [backup-simplify]: Simplify (+ 0 0) into 0 2.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.124 * [taylor]: Taking taylor expansion of 1 in im 2.124 * [backup-simplify]: Simplify 1 into 1 2.124 * [taylor]: Taking taylor expansion of 0 in im 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.125 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.126 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.126 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.126 * [taylor]: Taking taylor expansion of 1/2 in im 2.126 * [backup-simplify]: Simplify 1/2 into 1/2 2.126 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.126 * [taylor]: Taking taylor expansion of im in im 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 1 into 1 2.126 * [backup-simplify]: Simplify (* 1 1) into 1 2.126 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.129 * [backup-simplify]: Simplify (+ 0 0) into 0 2.129 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.129 * [taylor]: Taking taylor expansion of 0 in im 2.129 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.130 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 2.131 * [backup-simplify]: Simplify (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re))))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) 2.131 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 2.131 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 2.131 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 2.131 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.131 * [taylor]: Taking taylor expansion of 2.0 in re 2.131 * [backup-simplify]: Simplify 2.0 into 2.0 2.131 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.131 * [taylor]: Taking taylor expansion of im in re 2.131 * [backup-simplify]: Simplify im into im 2.131 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 2.131 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 2.131 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 2.131 * [taylor]: Taking taylor expansion of re in re 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 1 into 1 2.131 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.131 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.131 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.131 * [taylor]: Taking taylor expansion of re in re 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 1 into 1 2.132 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.132 * [taylor]: Taking taylor expansion of im in re 2.132 * [backup-simplify]: Simplify im into im 2.132 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.132 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.132 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.132 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.132 * [backup-simplify]: Simplify (+ 0 0) into 0 2.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.132 * [backup-simplify]: Simplify (+ 0 im) into im 2.132 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.132 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 2.133 * [backup-simplify]: Simplify (+ 1 0) into 1 2.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 2.133 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 2.133 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 2.133 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.133 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.133 * [taylor]: Taking taylor expansion of 2.0 in im 2.133 * [backup-simplify]: Simplify 2.0 into 2.0 2.133 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.134 * [taylor]: Taking taylor expansion of im in im 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 2.134 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 2.134 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 2.134 * [taylor]: Taking taylor expansion of re in im 2.134 * [backup-simplify]: Simplify re into re 2.134 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.134 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.134 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.134 * [taylor]: Taking taylor expansion of re in im 2.134 * [backup-simplify]: Simplify re into re 2.134 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.134 * [taylor]: Taking taylor expansion of im in im 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.134 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.134 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.134 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.135 * [backup-simplify]: Simplify (+ 0 0) into 0 2.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.135 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 2.135 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 2.135 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 2.135 * [backup-simplify]: Simplify (+ 0 0) into 0 2.135 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 2.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 2.135 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 2.135 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.135 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.135 * [taylor]: Taking taylor expansion of 2.0 in im 2.135 * [backup-simplify]: Simplify 2.0 into 2.0 2.136 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.136 * [taylor]: Taking taylor expansion of im in im 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 2.136 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 2.136 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 2.136 * [taylor]: Taking taylor expansion of re in im 2.136 * [backup-simplify]: Simplify re into re 2.136 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.136 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.136 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.136 * [taylor]: Taking taylor expansion of re in im 2.136 * [backup-simplify]: Simplify re into re 2.136 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.136 * [taylor]: Taking taylor expansion of im in im 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.136 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.136 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.137 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.137 * [backup-simplify]: Simplify (+ 0 0) into 0 2.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.137 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 2.137 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 2.137 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 2.137 * [backup-simplify]: Simplify (+ 0 0) into 0 2.137 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 2.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 2.138 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.138 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0 2.138 * [taylor]: Taking taylor expansion of 0 in re 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 2.140 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) 2.140 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 2.140 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 2.140 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.140 * [taylor]: Taking taylor expansion of 2.0 in re 2.140 * [backup-simplify]: Simplify 2.0 into 2.0 2.141 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.141 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 2.141 * [taylor]: Taking taylor expansion of 1/2 in re 2.141 * [backup-simplify]: Simplify 1/2 into 1/2 2.141 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 2.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 2.142 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 2.142 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.142 * [taylor]: Taking taylor expansion of re in re 2.142 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify 1 into 1 2.142 * [backup-simplify]: Simplify (/ 1 1) into 1 2.142 * [backup-simplify]: Simplify (sqrt 0) into 0 2.143 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.144 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 2.144 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 2.146 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 2.148 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 2.148 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.149 * [backup-simplify]: Simplify (* 1 1) into 1 2.149 * [backup-simplify]: Simplify (+ 0 1) into 1 2.149 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 2.149 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 2.150 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 2.151 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))) 2.151 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.152 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 2.153 * [backup-simplify]: Simplify (+ (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into 0 2.153 * [taylor]: Taking taylor expansion of 0 in re 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.155 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.156 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 2.156 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.157 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 2.159 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 2.161 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 2.161 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 2.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.162 * [backup-simplify]: Simplify (+ 0 0) into 0 2.162 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 2.162 * [backup-simplify]: Simplify (+ 0 0) into 0 2.163 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))) (* 0 (/ (* 1/2 (/ 1 re)) (* 2 re))) (* (- (* 1/8 (/ 1 (pow re 3)))) (/ 0 (* 2 re))))) into 0 2.164 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))))))) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0 2.164 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.165 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.167 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))))) into (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) 2.167 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 2.167 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 2.167 * [taylor]: Taking taylor expansion of 1/16 in re 2.167 * [backup-simplify]: Simplify 1/16 into 1/16 2.167 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 2.167 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 2.167 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.167 * [taylor]: Taking taylor expansion of 2.0 in re 2.167 * [backup-simplify]: Simplify 2.0 into 2.0 2.167 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.168 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 2.168 * [taylor]: Taking taylor expansion of 1/2 in re 2.168 * [backup-simplify]: Simplify 1/2 into 1/2 2.168 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 2.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 2.169 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2)) 2.169 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 2.169 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 2.169 * [taylor]: Taking taylor expansion of (pow re 5) in re 2.169 * [taylor]: Taking taylor expansion of re in re 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 1 into 1 2.170 * [backup-simplify]: Simplify (* 1 1) into 1 2.170 * [backup-simplify]: Simplify (* 1 1) into 1 2.170 * [backup-simplify]: Simplify (* 1 1) into 1 2.170 * [backup-simplify]: Simplify (/ 1 1) into 1 2.170 * [backup-simplify]: Simplify (sqrt 0) into 0 2.171 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.176 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.179 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 2.182 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.183 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 2.184 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 2.184 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.185 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 2.186 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 2.188 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.190 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.192 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.193 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0 2.197 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.199 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.201 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.207 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) (pow (* 1 im) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* re im)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* 1 im)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) 2.207 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 im) (/ (/ 1 im) (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 2.207 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 2.207 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 2.207 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 2.207 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.207 * [taylor]: Taking taylor expansion of 2.0 in re 2.207 * [backup-simplify]: Simplify 2.0 into 2.0 2.207 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.208 * [taylor]: Taking taylor expansion of im in re 2.208 * [backup-simplify]: Simplify im into im 2.208 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 2.208 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 2.208 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.208 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.208 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.208 * [taylor]: Taking taylor expansion of re in re 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 1 into 1 2.208 * [backup-simplify]: Simplify (/ 1 1) into 1 2.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.208 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.209 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.209 * [taylor]: Taking taylor expansion of im in re 2.209 * [backup-simplify]: Simplify im into im 2.209 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.209 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.209 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.209 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.209 * [taylor]: Taking taylor expansion of re in re 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 1 into 1 2.209 * [backup-simplify]: Simplify (* 1 1) into 1 2.209 * [backup-simplify]: Simplify (/ 1 1) into 1 2.209 * [backup-simplify]: Simplify (+ 0 1) into 1 2.210 * [backup-simplify]: Simplify (sqrt 1) into 1 2.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.211 * [backup-simplify]: Simplify (+ 0 0) into 0 2.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.211 * [backup-simplify]: Simplify (+ 1 1) into 2 2.211 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.212 * [backup-simplify]: Simplify (sqrt 0) into 0 2.212 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 2.213 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 2.213 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.213 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.213 * [taylor]: Taking taylor expansion of 2.0 in im 2.213 * [backup-simplify]: Simplify 2.0 into 2.0 2.213 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.213 * [taylor]: Taking taylor expansion of im in im 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 1 into 1 2.214 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.214 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 2.214 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.214 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.214 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.214 * [taylor]: Taking taylor expansion of re in im 2.214 * [backup-simplify]: Simplify re into re 2.214 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.214 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.214 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.214 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.214 * [taylor]: Taking taylor expansion of im in im 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 1 into 1 2.214 * [backup-simplify]: Simplify (* 1 1) into 1 2.214 * [backup-simplify]: Simplify (/ 1 1) into 1 2.215 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.215 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.215 * [taylor]: Taking taylor expansion of re in im 2.215 * [backup-simplify]: Simplify re into re 2.215 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.215 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.215 * [backup-simplify]: Simplify (+ 1 0) into 1 2.215 * [backup-simplify]: Simplify (sqrt 1) into 1 2.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.216 * [backup-simplify]: Simplify (+ 0 0) into 0 2.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.217 * [backup-simplify]: Simplify (+ 0 1) into 1 2.217 * [backup-simplify]: Simplify (/ 1 1) into 1 2.217 * [backup-simplify]: Simplify (sqrt 0) into 0 2.218 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.218 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 2.218 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.218 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.218 * [taylor]: Taking taylor expansion of 2.0 in im 2.218 * [backup-simplify]: Simplify 2.0 into 2.0 2.218 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.219 * [taylor]: Taking taylor expansion of im in im 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 1 into 1 2.219 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.219 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 2.219 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.219 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.219 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.219 * [taylor]: Taking taylor expansion of re in im 2.219 * [backup-simplify]: Simplify re into re 2.219 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.219 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.220 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.220 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.220 * [taylor]: Taking taylor expansion of im in im 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify 1 into 1 2.220 * [backup-simplify]: Simplify (* 1 1) into 1 2.220 * [backup-simplify]: Simplify (/ 1 1) into 1 2.220 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.220 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.220 * [taylor]: Taking taylor expansion of re in im 2.220 * [backup-simplify]: Simplify re into re 2.220 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.220 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.221 * [backup-simplify]: Simplify (+ 1 0) into 1 2.221 * [backup-simplify]: Simplify (sqrt 1) into 1 2.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.222 * [backup-simplify]: Simplify (+ 0 0) into 0 2.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.222 * [backup-simplify]: Simplify (+ 0 1) into 1 2.223 * [backup-simplify]: Simplify (/ 1 1) into 1 2.223 * [backup-simplify]: Simplify (sqrt 0) into 0 2.223 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.224 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.224 * [taylor]: Taking taylor expansion of 0 in re 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.226 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.226 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 2.226 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.226 * [taylor]: Taking taylor expansion of +nan.0 in re 2.226 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.226 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.226 * [taylor]: Taking taylor expansion of 2.0 in re 2.226 * [backup-simplify]: Simplify 2.0 into 2.0 2.226 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.227 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.228 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.229 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 2.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 2.230 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 2.230 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.232 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 2.232 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.232 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.232 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.232 * [taylor]: Taking taylor expansion of +nan.0 in re 2.232 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.232 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.232 * [taylor]: Taking taylor expansion of 2.0 in re 2.232 * [backup-simplify]: Simplify 2.0 into 2.0 2.232 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.232 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.232 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.232 * [taylor]: Taking taylor expansion of +nan.0 in re 2.232 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.232 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.232 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.232 * [taylor]: Taking taylor expansion of 2.0 in re 2.232 * [backup-simplify]: Simplify 2.0 into 2.0 2.233 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.233 * [taylor]: Taking taylor expansion of re in re 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify 1 into 1 2.234 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.234 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.235 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.236 * [backup-simplify]: Simplify (- 0) into 0 2.236 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 2.238 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.239 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.239 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.240 * [backup-simplify]: Simplify (- 0) into 0 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.241 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 2.242 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.242 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 2.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 2.243 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 2.243 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.245 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 2.245 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 2.245 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 2.245 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.245 * [taylor]: Taking taylor expansion of +nan.0 in re 2.245 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.246 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.246 * [taylor]: Taking taylor expansion of 2.0 in re 2.246 * [backup-simplify]: Simplify 2.0 into 2.0 2.246 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.246 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.246 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.246 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 2.246 * [taylor]: Taking taylor expansion of +nan.0 in re 2.246 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.246 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 2.246 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.246 * [taylor]: Taking taylor expansion of 2.0 in re 2.246 * [backup-simplify]: Simplify 2.0 into 2.0 2.247 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.247 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.247 * [taylor]: Taking taylor expansion of re in re 2.247 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify 1 into 1 2.247 * [backup-simplify]: Simplify (* 1 1) into 1 2.248 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.248 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.248 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.248 * [taylor]: Taking taylor expansion of +nan.0 in re 2.248 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.248 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.248 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.248 * [taylor]: Taking taylor expansion of 2.0 in re 2.248 * [backup-simplify]: Simplify 2.0 into 2.0 2.248 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.249 * [taylor]: Taking taylor expansion of re in re 2.249 * [backup-simplify]: Simplify 0 into 0 2.249 * [backup-simplify]: Simplify 1 into 1 2.249 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.250 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.250 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.253 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 2.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.254 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.254 * [backup-simplify]: Simplify (- 0) into 0 2.254 * [backup-simplify]: Simplify (+ 0 0) into 0 2.254 * [backup-simplify]: Simplify (- 0) into 0 2.255 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 2.256 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.257 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.260 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 im)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 im))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) 2.260 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 (- im)) (/ (/ 1 (- im)) (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 2.260 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 2.260 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 2.261 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 2.261 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.261 * [taylor]: Taking taylor expansion of 2.0 in re 2.261 * [backup-simplify]: Simplify 2.0 into 2.0 2.261 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.261 * [taylor]: Taking taylor expansion of im in re 2.261 * [backup-simplify]: Simplify im into im 2.262 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 2.262 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 2.262 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 2.262 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.262 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.262 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.262 * [taylor]: Taking taylor expansion of im in re 2.262 * [backup-simplify]: Simplify im into im 2.262 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.262 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.262 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.262 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.262 * [taylor]: Taking taylor expansion of re in re 2.262 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify 1 into 1 2.262 * [backup-simplify]: Simplify (* 1 1) into 1 2.262 * [backup-simplify]: Simplify (/ 1 1) into 1 2.263 * [backup-simplify]: Simplify (+ 0 1) into 1 2.263 * [backup-simplify]: Simplify (sqrt 1) into 1 2.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.264 * [backup-simplify]: Simplify (+ 0 0) into 0 2.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.264 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.264 * [taylor]: Taking taylor expansion of re in re 2.264 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify 1 into 1 2.264 * [backup-simplify]: Simplify (/ 1 1) into 1 2.265 * [backup-simplify]: Simplify (- 1) into -1 2.265 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.266 * [backup-simplify]: Simplify (- 0) into 0 2.266 * [backup-simplify]: Simplify (+ 0 0) into 0 2.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.267 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.270 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.271 * [backup-simplify]: Simplify (- 0) into 0 2.271 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.271 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 2.272 * [backup-simplify]: Simplify (sqrt 0) into 0 2.272 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 2.272 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 2.272 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.272 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.272 * [taylor]: Taking taylor expansion of 2.0 in im 2.272 * [backup-simplify]: Simplify 2.0 into 2.0 2.272 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.273 * [taylor]: Taking taylor expansion of im in im 2.273 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify 1 into 1 2.273 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.273 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 2.273 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 2.273 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.273 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.273 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.273 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.273 * [taylor]: Taking taylor expansion of im in im 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify 1 into 1 2.274 * [backup-simplify]: Simplify (* 1 1) into 1 2.274 * [backup-simplify]: Simplify (/ 1 1) into 1 2.274 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.274 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.274 * [taylor]: Taking taylor expansion of re in im 2.274 * [backup-simplify]: Simplify re into re 2.274 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.274 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.274 * [backup-simplify]: Simplify (+ 1 0) into 1 2.275 * [backup-simplify]: Simplify (sqrt 1) into 1 2.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.276 * [backup-simplify]: Simplify (+ 0 0) into 0 2.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.276 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.276 * [taylor]: Taking taylor expansion of re in im 2.276 * [backup-simplify]: Simplify re into re 2.276 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.276 * [backup-simplify]: Simplify (+ 1 0) into 1 2.277 * [backup-simplify]: Simplify (/ 1 1) into 1 2.277 * [backup-simplify]: Simplify (sqrt 0) into 0 2.278 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.278 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 2.278 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.278 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.278 * [taylor]: Taking taylor expansion of 2.0 in im 2.278 * [backup-simplify]: Simplify 2.0 into 2.0 2.278 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.278 * [taylor]: Taking taylor expansion of im in im 2.278 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify 1 into 1 2.279 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.279 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 2.279 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 2.279 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.279 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.279 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.279 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.279 * [taylor]: Taking taylor expansion of im in im 2.279 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify 1 into 1 2.279 * [backup-simplify]: Simplify (* 1 1) into 1 2.279 * [backup-simplify]: Simplify (/ 1 1) into 1 2.280 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.280 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.280 * [taylor]: Taking taylor expansion of re in im 2.280 * [backup-simplify]: Simplify re into re 2.280 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.280 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.280 * [backup-simplify]: Simplify (+ 1 0) into 1 2.280 * [backup-simplify]: Simplify (sqrt 1) into 1 2.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.281 * [backup-simplify]: Simplify (+ 0 0) into 0 2.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.282 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.282 * [taylor]: Taking taylor expansion of re in im 2.282 * [backup-simplify]: Simplify re into re 2.282 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.282 * [backup-simplify]: Simplify (+ 1 0) into 1 2.282 * [backup-simplify]: Simplify (/ 1 1) into 1 2.282 * [backup-simplify]: Simplify (sqrt 0) into 0 2.283 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.284 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.284 * [taylor]: Taking taylor expansion of 0 in re 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.285 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.285 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 2.285 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.285 * [taylor]: Taking taylor expansion of +nan.0 in re 2.285 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.285 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.285 * [taylor]: Taking taylor expansion of 2.0 in re 2.285 * [backup-simplify]: Simplify 2.0 into 2.0 2.286 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 2.286 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 2.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 2.287 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 2.288 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.289 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 2.289 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.289 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.289 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.289 * [taylor]: Taking taylor expansion of +nan.0 in re 2.289 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.289 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.289 * [taylor]: Taking taylor expansion of 2.0 in re 2.289 * [backup-simplify]: Simplify 2.0 into 2.0 2.289 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.290 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.290 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.290 * [taylor]: Taking taylor expansion of +nan.0 in re 2.290 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.290 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.290 * [taylor]: Taking taylor expansion of 2.0 in re 2.290 * [backup-simplify]: Simplify 2.0 into 2.0 2.290 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.291 * [taylor]: Taking taylor expansion of re in re 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 1 into 1 2.291 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.292 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.292 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.294 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.295 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.296 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.296 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.297 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.298 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.299 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 2.300 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.300 * [backup-simplify]: Simplify (- 0) into 0 2.300 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 2.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 2.301 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 2.302 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.303 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 2.304 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 2.304 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 2.304 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.304 * [taylor]: Taking taylor expansion of +nan.0 in re 2.304 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.304 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.304 * [taylor]: Taking taylor expansion of 2.0 in re 2.304 * [backup-simplify]: Simplify 2.0 into 2.0 2.304 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.304 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.304 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.304 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 2.304 * [taylor]: Taking taylor expansion of +nan.0 in re 2.304 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.304 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 2.304 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.304 * [taylor]: Taking taylor expansion of 2.0 in re 2.305 * [backup-simplify]: Simplify 2.0 into 2.0 2.305 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.305 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.305 * [taylor]: Taking taylor expansion of re in re 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify 1 into 1 2.305 * [backup-simplify]: Simplify (* 1 1) into 1 2.306 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.306 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.306 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.306 * [taylor]: Taking taylor expansion of +nan.0 in re 2.306 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.306 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.306 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.306 * [taylor]: Taking taylor expansion of 2.0 in re 2.306 * [backup-simplify]: Simplify 2.0 into 2.0 2.306 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.307 * [taylor]: Taking taylor expansion of re in re 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify 1 into 1 2.307 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.309 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.309 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.310 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.311 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.312 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.314 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.315 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.316 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.319 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (/ 1 (- im)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 2.319 * * * [progress]: simplifying candidates 2.320 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))))) (exp (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re))))))) (cbrt (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (* (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt 2.0) (sqrt (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))))) im re (* -1 re) im re (* -1 re) im re (* -1 re) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 2.321 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (exp (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (* (cbrt (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (cbrt (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))))) (cbrt (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (* (* (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (sqrt h2) (sqrt (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h2 (* h0 h0))) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (sqrt (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) h0 h1 (* -1 h1) h0 h1 (* -1 h1) h0 h1 (* -1 h1) (- (+ (* h3 (* (sqrt h2) (* (sqrt 1/2) (* h0 h1)))) (- (+ (* h3 (* (sqrt h2) (* (sqrt 1/2) h0))) (- (* h3 (/ (* (sqrt h2) (pow h0 3)) (sqrt 1/2)))))))) (- (+ (* h3 (/ (sqrt h2) (pow h0 2))) (- (+ (* h3 (/ (sqrt h2) h0)) (- (* h3 (sqrt h2))))))) (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (* (sqrt h2) h1) h0)) (- (* h3 (/ (* (sqrt h2) h1) (pow h0 2)))))))) 2.324 * * [simplify]: iteration 0 : 235 enodes (cost 459 ) 2.328 * * [simplify]: iteration 1 : 750 enodes (cost 433 ) 2.342 * * [simplify]: iteration 2 : 2693 enodes (cost 427 ) 2.395 * * [simplify]: iteration 3 : 5001 enodes (cost 422 ) 2.397 * * * [progress]: adding candidates to table 2.684 * [progress]: [Phase 3 of 3] Extracting. 2.685 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.687 * * * [regime-changes]: Trying 7 branch expressions: ((* im im) (- (sqrt (+ (* re re) (* im im))) re) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re) 2.688 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #) 2.734 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 2.766 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # #) 2.803 * * * * [regimes]: Trying to branch on (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # # #) 2.843 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # # #) 2.885 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) from (# # # # # # # #) 2.927 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 2.980 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 3.039 * * * [regime]: Found split indices: #