42.284 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.026 * [simplify]: Sending expressions to egg_math: (* h3 (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) 0.028 * * [simplify]: iteration 0 : 22 enodes (cost 8 ) 0.029 * * [simplify]: iteration 1 : 24 enodes (cost 8 ) 0.031 * * [simplify]: iteration 2 : 24 enodes (cost 8 ) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 1) 0.051 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2) 0.082 * * * [progress]: generating series expansions 0.082 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 1) 0.082 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.082 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.082 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.082 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.082 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.082 * [taylor]: Taking taylor expansion of re in im 0.082 * [backup-simplify]: Simplify re into re 0.082 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.082 * [taylor]: Taking taylor expansion of im in im 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.082 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.082 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.082 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.083 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.083 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.083 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.083 * [taylor]: Taking taylor expansion of re in re 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.083 * [taylor]: Taking taylor expansion of im in re 0.083 * [backup-simplify]: Simplify im into im 0.083 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.083 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.083 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.084 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.084 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.084 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.084 * [taylor]: Taking taylor expansion of re in re 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.084 * [taylor]: Taking taylor expansion of im in re 0.084 * [backup-simplify]: Simplify im into im 0.084 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.084 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.084 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.084 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.085 * [taylor]: Taking taylor expansion of im in im 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [taylor]: Taking taylor expansion of 0 in im 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (* 1 1) into 1 0.085 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.086 * [backup-simplify]: Simplify (+ 1 0) into 1 0.086 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.086 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.086 * [taylor]: Taking taylor expansion of 1/2 in im 0.086 * [backup-simplify]: Simplify 1/2 into 1/2 0.086 * [taylor]: Taking taylor expansion of im in im 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.088 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.088 * [taylor]: Taking taylor expansion of 0 in im 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.089 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.089 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.089 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.089 * [taylor]: Taking taylor expansion of im in im 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (* 1 1) into 1 0.090 * [backup-simplify]: Simplify (/ 1 1) into 1 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.090 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.090 * [taylor]: Taking taylor expansion of re in im 0.090 * [backup-simplify]: Simplify re into re 0.090 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.090 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.090 * [backup-simplify]: Simplify (+ 1 0) into 1 0.090 * [backup-simplify]: Simplify (sqrt 1) into 1 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.092 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.092 * [taylor]: Taking taylor expansion of im in re 0.092 * [backup-simplify]: Simplify im into im 0.092 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.092 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.092 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.092 * [taylor]: Taking taylor expansion of re in re 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (* 1 1) into 1 0.093 * [backup-simplify]: Simplify (/ 1 1) into 1 0.093 * [backup-simplify]: Simplify (+ 0 1) into 1 0.093 * [backup-simplify]: Simplify (sqrt 1) into 1 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.095 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.095 * [taylor]: Taking taylor expansion of im in re 0.095 * [backup-simplify]: Simplify im into im 0.095 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.095 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.095 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.095 * [taylor]: Taking taylor expansion of re in re 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (* 1 1) into 1 0.095 * [backup-simplify]: Simplify (/ 1 1) into 1 0.096 * [backup-simplify]: Simplify (+ 0 1) into 1 0.096 * [backup-simplify]: Simplify (sqrt 1) into 1 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.097 * [taylor]: Taking taylor expansion of 1 in im 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [taylor]: Taking taylor expansion of 0 in im 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.099 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.099 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.099 * [taylor]: Taking taylor expansion of 1/2 in im 0.099 * [backup-simplify]: Simplify 1/2 into 1/2 0.099 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.099 * [taylor]: Taking taylor expansion of im in im 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (* 1 1) into 1 0.100 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.103 * [taylor]: Taking taylor expansion of 0 in im 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.104 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.104 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.104 * [taylor]: Taking taylor expansion of (pow im 2) in im 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 0.104 * [backup-simplify]: Simplify (* 1 1) into 1 0.105 * [backup-simplify]: Simplify (/ 1 1) into 1 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.105 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.105 * [taylor]: Taking taylor expansion of re in im 0.105 * [backup-simplify]: Simplify re into re 0.105 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.105 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.105 * [backup-simplify]: Simplify (+ 1 0) into 1 0.105 * [backup-simplify]: Simplify (sqrt 1) into 1 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.107 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.107 * [taylor]: Taking taylor expansion of im in re 0.107 * [backup-simplify]: Simplify im into im 0.107 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.107 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.107 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.107 * [taylor]: Taking taylor expansion of re in re 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (* 1 1) into 1 0.108 * [backup-simplify]: Simplify (/ 1 1) into 1 0.108 * [backup-simplify]: Simplify (+ 0 1) into 1 0.108 * [backup-simplify]: Simplify (sqrt 1) into 1 0.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.109 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.109 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.109 * [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 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.110 * [backup-simplify]: Simplify (+ 0 1) into 1 0.111 * [backup-simplify]: Simplify (sqrt 1) into 1 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.112 * [taylor]: Taking taylor expansion of 1 in im 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [taylor]: Taking taylor expansion of 0 in im 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.114 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.114 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.114 * [taylor]: Taking taylor expansion of 1/2 in im 0.114 * [backup-simplify]: Simplify 1/2 into 1/2 0.114 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.114 * [taylor]: Taking taylor expansion of im in im 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (* 1 1) into 1 0.115 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.118 * [taylor]: Taking taylor expansion of 0 in im 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 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 (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.119 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2) 0.119 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 0.119 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.119 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.119 * [taylor]: Taking taylor expansion of re in im 0.119 * [backup-simplify]: Simplify re into re 0.119 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.119 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.119 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.119 * [taylor]: Taking taylor expansion of re in im 0.119 * [backup-simplify]: Simplify re into re 0.119 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.119 * [taylor]: Taking taylor expansion of im in im 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.119 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.119 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.119 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.120 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.120 * [taylor]: Taking taylor expansion of re in re 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.120 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.120 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.120 * [taylor]: Taking taylor expansion of re in re 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.120 * [taylor]: Taking taylor expansion of im in re 0.120 * [backup-simplify]: Simplify im into im 0.120 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.120 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.120 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.120 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.121 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.121 * [taylor]: Taking taylor expansion of re in re 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.121 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.121 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.121 * [taylor]: Taking taylor expansion of re in re 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.121 * [taylor]: Taking taylor expansion of im in re 0.121 * [backup-simplify]: Simplify im into im 0.121 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.121 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.121 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.121 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.121 * [backup-simplify]: Simplify (+ 0 im) into im 0.121 * [taylor]: Taking taylor expansion of im in im 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ 1 0) into 1 0.122 * [taylor]: Taking taylor expansion of 1 in im 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (* 1 1) into 1 0.122 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.123 * [backup-simplify]: Simplify (+ 1 0) into 1 0.123 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.123 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.123 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.123 * [taylor]: Taking taylor expansion of 1/2 in im 0.123 * [backup-simplify]: Simplify 1/2 into 1/2 0.123 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.123 * [taylor]: Taking taylor expansion of im in im 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.125 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [taylor]: Taking taylor expansion of 0 in im 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.127 * [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))))) 0.127 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.127 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.127 * [taylor]: Taking taylor expansion of re in im 0.127 * [backup-simplify]: Simplify re into re 0.127 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.127 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.127 * [taylor]: Taking taylor expansion of im in im 0.127 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (* 1 1) into 1 0.128 * [backup-simplify]: Simplify (/ 1 1) into 1 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.128 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.128 * [taylor]: Taking taylor expansion of re in im 0.128 * [backup-simplify]: Simplify re into re 0.128 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.128 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.128 * [backup-simplify]: Simplify (+ 1 0) 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 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.130 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.130 * [taylor]: Taking taylor expansion of re in re 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (/ 1 1) into 1 0.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.130 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.130 * [taylor]: Taking taylor expansion of im in re 0.130 * [backup-simplify]: Simplify im into im 0.131 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.131 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.131 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.131 * [taylor]: Taking taylor expansion of re in re 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (* 1 1) into 1 0.131 * [backup-simplify]: Simplify (/ 1 1) into 1 0.131 * [backup-simplify]: Simplify (+ 0 1) into 1 0.132 * [backup-simplify]: Simplify (sqrt 1) into 1 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.133 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.133 * [taylor]: Taking taylor expansion of re in re 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (/ 1 1) into 1 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.133 * [taylor]: Taking taylor expansion of im in re 0.133 * [backup-simplify]: Simplify im into im 0.133 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.134 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.134 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.134 * [taylor]: Taking taylor expansion of re in re 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (* 1 1) into 1 0.134 * [backup-simplify]: Simplify (/ 1 1) into 1 0.134 * [backup-simplify]: Simplify (+ 0 1) into 1 0.135 * [backup-simplify]: Simplify (sqrt 1) into 1 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.136 * [backup-simplify]: Simplify (+ 1 1) into 2 0.136 * [taylor]: Taking taylor expansion of 2 in im 0.136 * [backup-simplify]: Simplify 2 into 2 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [taylor]: Taking taylor expansion of 0 in im 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 2 into 2 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.139 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.139 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.139 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.139 * [taylor]: Taking taylor expansion of 1/2 in im 0.139 * [backup-simplify]: Simplify 1/2 into 1/2 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.139 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.139 * [taylor]: Taking taylor expansion of im in im 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (* 1 1) into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [taylor]: Taking taylor expansion of 0 in im 0.144 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 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 0.147 * [backup-simplify]: Simplify (/ 1 1) into 1 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.147 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.147 * [taylor]: Taking taylor expansion of re in im 0.147 * [backup-simplify]: Simplify re into re 0.147 * [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 0.148 * [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 0.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.149 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.149 * [taylor]: Taking taylor expansion of re in im 0.149 * [backup-simplify]: Simplify re into re 0.149 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.149 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.149 * [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 0.150 * [backup-simplify]: Simplify (* 1 1) into 1 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [backup-simplify]: Simplify (+ 0 1) into 1 0.150 * [backup-simplify]: Simplify (sqrt 1) into 1 0.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.152 * [taylor]: Taking taylor expansion of (/ 1 re) 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 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.152 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.152 * [taylor]: Taking taylor expansion of im in re 0.152 * [backup-simplify]: Simplify im into im 0.152 * [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 0.157 * [backup-simplify]: Simplify (* 1 1) into 1 0.158 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [backup-simplify]: Simplify (+ 0 1) into 1 0.158 * [backup-simplify]: Simplify (sqrt 1) into 1 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.160 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.160 * [taylor]: Taking taylor expansion of re in re 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (/ 1 1) into 1 0.160 * [backup-simplify]: Simplify (- 1) into -1 0.160 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.160 * [taylor]: Taking taylor expansion of 0 in im 0.160 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [taylor]: Taking taylor expansion of 0 in im 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.163 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (- 0) into 0 0.164 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.164 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.164 * [taylor]: Taking taylor expansion of 1/2 in im 0.164 * [backup-simplify]: Simplify 1/2 into 1/2 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.164 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.164 * [taylor]: Taking taylor expansion of im in im 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (* 1 1) into 1 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (- 0) into 0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [taylor]: Taking taylor expansion of 0 in im 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * * * [progress]: simplifying candidates 0.171 * [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))) (- (* (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) (+ re im) (* 2 re) 0 0.171 * [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))) (- (* (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) (+ h1 h0) (* 2 h1) 0 0.174 * * [simplify]: iteration 0 : 141 enodes (cost 198 ) 0.178 * * [simplify]: iteration 1 : 358 enodes (cost 186 ) 0.184 * * [simplify]: iteration 2 : 866 enodes (cost 182 ) 0.201 * * [simplify]: iteration 3 : 2557 enodes (cost 181 ) 0.249 * * [simplify]: iteration 4 : 5001 enodes (cost 181 ) 0.251 * * * [progress]: adding candidates to table 0.346 * * [progress]: iteration 2 / 4 0.346 * * * [progress]: picking best candidate 0.358 * * * * [pick]: Picked # 0.358 * * * [progress]: localizing error 0.372 * * * [progress]: generating rewritten candidates 0.372 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1 1 1) 0.379 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.401 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1 1) 0.432 * * * [progress]: generating series expansions 0.432 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1 1 1) 0.432 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.432 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.432 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.432 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.432 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.432 * [taylor]: Taking taylor expansion of re in im 0.432 * [backup-simplify]: Simplify re into re 0.432 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.432 * [taylor]: Taking taylor expansion of im in im 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.432 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.433 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.433 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.433 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.433 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.433 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.433 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.433 * [taylor]: Taking taylor expansion of re in re 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.433 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.433 * [taylor]: Taking taylor expansion of im in re 0.433 * [backup-simplify]: Simplify im into im 0.433 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.434 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.434 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.434 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.434 * [backup-simplify]: Simplify (+ 0 0) into 0 0.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.434 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.434 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.434 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.434 * [taylor]: Taking taylor expansion of re in re 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.434 * [taylor]: Taking taylor expansion of im in re 0.434 * [backup-simplify]: Simplify im into im 0.434 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.434 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.434 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.434 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.435 * [backup-simplify]: Simplify (+ 0 0) into 0 0.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.435 * [taylor]: Taking taylor expansion of im in im 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [taylor]: Taking taylor expansion of 0 in im 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (* 1 1) into 1 0.436 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.436 * [backup-simplify]: Simplify (+ 1 0) into 1 0.436 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.436 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.436 * [taylor]: Taking taylor expansion of 1/2 in im 0.436 * [backup-simplify]: Simplify 1/2 into 1/2 0.437 * [taylor]: Taking taylor expansion of im in im 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.438 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.438 * [backup-simplify]: Simplify (+ 0 0) into 0 0.439 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.439 * [taylor]: Taking taylor expansion of 0 in im 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.439 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.439 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.439 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.440 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.440 * [taylor]: Taking taylor expansion of im in im 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (* 1 1) into 1 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.440 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.440 * [taylor]: Taking taylor expansion of re in im 0.440 * [backup-simplify]: Simplify re into re 0.440 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.440 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.441 * [backup-simplify]: Simplify (+ 1 0) into 1 0.441 * [backup-simplify]: Simplify (sqrt 1) into 1 0.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.442 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.442 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.442 * [taylor]: Taking taylor expansion of im in re 0.442 * [backup-simplify]: Simplify im into im 0.442 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.442 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.443 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.443 * [taylor]: Taking taylor expansion of re in re 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (* 1 1) into 1 0.443 * [backup-simplify]: Simplify (/ 1 1) into 1 0.443 * [backup-simplify]: Simplify (+ 0 1) into 1 0.444 * [backup-simplify]: Simplify (sqrt 1) into 1 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.445 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.445 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.445 * [taylor]: Taking taylor expansion of im in re 0.445 * [backup-simplify]: Simplify im into im 0.445 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.445 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.445 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.445 * [taylor]: Taking taylor expansion of re in re 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (* 1 1) into 1 0.446 * [backup-simplify]: Simplify (/ 1 1) into 1 0.446 * [backup-simplify]: Simplify (+ 0 1) into 1 0.446 * [backup-simplify]: Simplify (sqrt 1) into 1 0.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.448 * [taylor]: Taking taylor expansion of 1 in im 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [taylor]: Taking taylor expansion of 0 in im 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.450 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.450 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.450 * [taylor]: Taking taylor expansion of 1/2 in im 0.450 * [backup-simplify]: Simplify 1/2 into 1/2 0.450 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.450 * [taylor]: Taking taylor expansion of im in im 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (* 1 1) into 1 0.450 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.453 * [taylor]: Taking taylor expansion of 0 in im 0.453 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.455 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.455 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.455 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.455 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.455 * [taylor]: Taking taylor expansion of im in im 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [backup-simplify]: Simplify (* 1 1) into 1 0.455 * [backup-simplify]: Simplify (/ 1 1) into 1 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.455 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.455 * [taylor]: Taking taylor expansion of re in im 0.455 * [backup-simplify]: Simplify re into re 0.455 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.455 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.456 * [backup-simplify]: Simplify (+ 1 0) into 1 0.456 * [backup-simplify]: Simplify (sqrt 1) into 1 0.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ 0 0) into 0 0.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.457 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.457 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.457 * [taylor]: Taking taylor expansion of im in re 0.457 * [backup-simplify]: Simplify im into im 0.457 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.458 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.458 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.458 * [taylor]: Taking taylor expansion of re in re 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify (* 1 1) into 1 0.458 * [backup-simplify]: Simplify (/ 1 1) into 1 0.458 * [backup-simplify]: Simplify (+ 0 1) into 1 0.459 * [backup-simplify]: Simplify (sqrt 1) into 1 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.460 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.460 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.460 * [taylor]: Taking taylor expansion of im in re 0.460 * [backup-simplify]: Simplify im into im 0.460 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.460 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.460 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.460 * [taylor]: Taking taylor expansion of re in re 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (* 1 1) into 1 0.461 * [backup-simplify]: Simplify (/ 1 1) into 1 0.461 * [backup-simplify]: Simplify (+ 0 1) into 1 0.461 * [backup-simplify]: Simplify (sqrt 1) into 1 0.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.463 * [taylor]: Taking taylor expansion of 1 in im 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [taylor]: Taking taylor expansion of 0 in im 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.465 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.465 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.465 * [taylor]: Taking taylor expansion of 1/2 in im 0.465 * [backup-simplify]: Simplify 1/2 into 1/2 0.465 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.465 * [taylor]: Taking taylor expansion of im in im 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (* 1 1) into 1 0.465 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.468 * [taylor]: Taking taylor expansion of 0 in im 0.468 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.470 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.470 * [backup-simplify]: Simplify (exp (log (+ (sqrt (+ (* re re) (* im im))) re))) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 0.470 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.470 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.470 * [taylor]: Taking taylor expansion of re in im 0.470 * [backup-simplify]: Simplify re into re 0.470 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.470 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.470 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.470 * [taylor]: Taking taylor expansion of re in im 0.470 * [backup-simplify]: Simplify re into re 0.470 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.470 * [taylor]: Taking taylor expansion of im in im 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.470 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.470 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.470 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.471 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.471 * [taylor]: Taking taylor expansion of re in re 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.471 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.471 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.471 * [taylor]: Taking taylor expansion of re in re 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.471 * [taylor]: Taking taylor expansion of im in re 0.471 * [backup-simplify]: Simplify im into im 0.471 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.471 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.471 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.471 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.471 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.471 * [taylor]: Taking taylor expansion of re in re 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.472 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.472 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.472 * [taylor]: Taking taylor expansion of re in re 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.472 * [taylor]: Taking taylor expansion of im in re 0.472 * [backup-simplify]: Simplify im into im 0.472 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.472 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.472 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.472 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.472 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.472 * [backup-simplify]: Simplify (+ 0 im) into im 0.472 * [taylor]: Taking taylor expansion of im in im 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify (+ 1 0) into 1 0.473 * [taylor]: Taking taylor expansion of 1 in im 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.473 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.473 * [backup-simplify]: Simplify (+ 1 0) into 1 0.474 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.474 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.474 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.474 * [taylor]: Taking taylor expansion of 1/2 in im 0.474 * [backup-simplify]: Simplify 1/2 into 1/2 0.474 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.474 * [taylor]: Taking taylor expansion of im in im 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (/ 1 1) into 1 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.476 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.476 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.477 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [taylor]: Taking taylor expansion of 0 in im 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.478 * [backup-simplify]: Simplify (exp (log (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 0.478 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.478 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.478 * [taylor]: Taking taylor expansion of re in im 0.478 * [backup-simplify]: Simplify re into re 0.478 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.478 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.478 * [taylor]: Taking taylor expansion of im in im 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (/ 1 1) into 1 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.479 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.479 * [taylor]: Taking taylor expansion of re in im 0.479 * [backup-simplify]: Simplify re into re 0.479 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.479 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.479 * [backup-simplify]: Simplify (+ 1 0) into 1 0.479 * [backup-simplify]: Simplify (sqrt 1) into 1 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.481 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.481 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.481 * [taylor]: Taking taylor expansion of re in re 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (/ 1 1) into 1 0.481 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.481 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.481 * [taylor]: Taking taylor expansion of im in re 0.481 * [backup-simplify]: Simplify im into im 0.481 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.481 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.481 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.482 * [taylor]: Taking taylor expansion of re in re 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (* 1 1) into 1 0.482 * [backup-simplify]: Simplify (/ 1 1) into 1 0.482 * [backup-simplify]: Simplify (+ 0 1) into 1 0.482 * [backup-simplify]: Simplify (sqrt 1) into 1 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.484 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.484 * [taylor]: Taking taylor expansion of re in re 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.484 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.484 * [taylor]: Taking taylor expansion of im in re 0.484 * [backup-simplify]: Simplify im into im 0.484 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.484 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.484 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.484 * [taylor]: Taking taylor expansion of re in re 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (* 1 1) into 1 0.485 * [backup-simplify]: Simplify (/ 1 1) into 1 0.485 * [backup-simplify]: Simplify (+ 0 1) into 1 0.485 * [backup-simplify]: Simplify (sqrt 1) into 1 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.487 * [backup-simplify]: Simplify (+ 1 1) into 2 0.487 * [taylor]: Taking taylor expansion of 2 in im 0.487 * [backup-simplify]: Simplify 2 into 2 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [taylor]: Taking taylor expansion of 0 in im 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 2 into 2 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.490 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.490 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.490 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) 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 (/ 1 (pow im 2)) in im 0.490 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.490 * [taylor]: Taking taylor expansion of im in im 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.491 * [backup-simplify]: Simplify (* 1 1) into 1 0.491 * [backup-simplify]: Simplify (/ 1 1) into 1 0.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [taylor]: Taking taylor expansion of 0 in im 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.497 * [backup-simplify]: Simplify (exp (log (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 0.497 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.497 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.497 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.497 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.497 * [taylor]: Taking taylor expansion of im in im 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.498 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.498 * [taylor]: Taking taylor expansion of re in im 0.498 * [backup-simplify]: Simplify re into re 0.498 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.498 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.498 * [backup-simplify]: Simplify (+ 1 0) into 1 0.498 * [backup-simplify]: Simplify (sqrt 1) into 1 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.500 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.500 * [taylor]: Taking taylor expansion of re in im 0.500 * [backup-simplify]: Simplify re into re 0.500 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.500 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.500 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.500 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.500 * [taylor]: Taking taylor expansion of im in re 0.500 * [backup-simplify]: Simplify im into im 0.500 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.500 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.500 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.500 * [taylor]: Taking taylor expansion of re in re 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (* 1 1) into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.501 * [backup-simplify]: Simplify (+ 0 1) into 1 0.501 * [backup-simplify]: Simplify (sqrt 1) into 1 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ 0 0) into 0 0.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.503 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.503 * [taylor]: Taking taylor expansion of re in re 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 0.503 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.503 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.503 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.503 * [taylor]: Taking taylor expansion of im in re 0.503 * [backup-simplify]: Simplify im into im 0.503 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.503 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.503 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.503 * [taylor]: Taking taylor expansion of re in re 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (* 1 1) into 1 0.504 * [backup-simplify]: Simplify (/ 1 1) into 1 0.504 * [backup-simplify]: Simplify (+ 0 1) into 1 0.504 * [backup-simplify]: Simplify (sqrt 1) into 1 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (+ 0 0) into 0 0.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.511 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.511 * [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) into -1 0.512 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.512 * [taylor]: Taking taylor expansion of 0 in im 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (- 0) into 0 0.513 * [backup-simplify]: Simplify (+ 0 0) into 0 0.513 * [taylor]: Taking taylor expansion of 0 in im 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.515 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (- 0) into 0 0.516 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.516 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.516 * [taylor]: Taking taylor expansion of 1/2 in im 0.516 * [backup-simplify]: Simplify 1/2 into 1/2 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.516 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.516 * [taylor]: Taking taylor expansion of im in im 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (* 1 1) into 1 0.516 * [backup-simplify]: Simplify (/ 1 1) into 1 0.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (+ 0 0) into 0 0.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 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) into 0 0.520 * [backup-simplify]: Simplify (+ 0 0) into 0 0.520 * [taylor]: Taking taylor expansion of 0 in im 0.520 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 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 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1 1) 0.522 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 0.522 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.522 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.522 * [taylor]: Taking taylor expansion of re in im 0.522 * [backup-simplify]: Simplify re into re 0.522 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.522 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.522 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.522 * [taylor]: Taking taylor expansion of re in im 0.522 * [backup-simplify]: Simplify re into re 0.522 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.522 * [taylor]: Taking taylor expansion of im in im 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.522 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.522 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.523 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.523 * [backup-simplify]: Simplify (+ 0 0) into 0 0.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.523 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.523 * [taylor]: Taking taylor expansion of re in re 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.523 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.523 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.523 * [taylor]: Taking taylor expansion of re in re 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.523 * [taylor]: Taking taylor expansion of im in re 0.523 * [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 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.524 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.524 * [taylor]: Taking taylor expansion of re in re 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 1 into 1 0.524 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.524 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.524 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.524 * [taylor]: Taking taylor expansion of re in re 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 1 into 1 0.524 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.524 * [taylor]: Taking taylor expansion of im in re 0.524 * [backup-simplify]: Simplify im into im 0.524 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.524 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.524 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.524 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.525 * [backup-simplify]: Simplify (+ 0 im) into 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 0 into 0 0.525 * [backup-simplify]: Simplify (+ 1 0) into 1 0.525 * [taylor]: Taking taylor expansion of 1 in im 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify (* 1 1) into 1 0.526 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.526 * [backup-simplify]: Simplify (+ 1 0) into 1 0.526 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.526 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.526 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.526 * [taylor]: Taking taylor expansion of 1/2 in im 0.526 * [backup-simplify]: Simplify 1/2 into 1/2 0.526 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.526 * [taylor]: Taking taylor expansion of im in im 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (/ 1 1) into 1 0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.528 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.529 * [backup-simplify]: Simplify (+ 0 0) into 0 0.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.529 * [backup-simplify]: Simplify (+ 0 0) into 0 0.529 * [taylor]: Taking taylor expansion of 0 in im 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.530 * [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))))) 0.530 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.530 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.530 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.530 * [taylor]: Taking taylor expansion of re in im 0.530 * [backup-simplify]: Simplify re into re 0.530 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.530 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.530 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.531 * [taylor]: Taking taylor expansion of im in im 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (* 1 1) into 1 0.531 * [backup-simplify]: Simplify (/ 1 1) into 1 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.531 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.531 * [taylor]: Taking taylor expansion of re in im 0.531 * [backup-simplify]: Simplify re into re 0.531 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.531 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.531 * [backup-simplify]: Simplify (+ 1 0) into 1 0.532 * [backup-simplify]: Simplify (sqrt 1) into 1 0.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ 0 0) into 0 0.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.533 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.533 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.533 * [taylor]: Taking taylor expansion of re in re 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify (/ 1 1) into 1 0.533 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.534 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.534 * [taylor]: Taking taylor expansion of im in re 0.534 * [backup-simplify]: Simplify im into im 0.534 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.534 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.534 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.534 * [taylor]: Taking taylor expansion of re in re 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.534 * [backup-simplify]: Simplify (* 1 1) into 1 0.534 * [backup-simplify]: Simplify (/ 1 1) into 1 0.534 * [backup-simplify]: Simplify (+ 0 1) into 1 0.535 * [backup-simplify]: Simplify (sqrt 1) into 1 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (+ 0 0) into 0 0.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.536 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.536 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.536 * [taylor]: Taking taylor expansion of re in re 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [backup-simplify]: Simplify (/ 1 1) into 1 0.536 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.536 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.536 * [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 0.537 * [backup-simplify]: Simplify (/ 1 1) into 1 0.537 * [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 0.538 * [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 * [backup-simplify]: Simplify (+ 1 1) into 2 0.539 * [taylor]: Taking taylor expansion of 2 in im 0.539 * [backup-simplify]: Simplify 2 into 2 0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (+ 0 0) into 0 0.540 * [taylor]: Taking taylor expansion of 0 in im 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 2 into 2 0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.542 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.543 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.543 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.543 * [taylor]: Taking taylor expansion of 1/2 in im 0.543 * [backup-simplify]: Simplify 1/2 into 1/2 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 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 (* 1 1) into 1 0.543 * [backup-simplify]: Simplify (/ 1 1) into 1 0.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.544 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (+ 0 0) into 0 0.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.547 * [backup-simplify]: Simplify (+ 0 0) into 0 0.547 * [taylor]: Taking taylor expansion of 0 in im 0.547 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.549 * [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)) 0.549 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.549 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.549 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.549 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.549 * [taylor]: Taking taylor expansion of im in im 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.549 * [backup-simplify]: Simplify (* 1 1) into 1 0.550 * [backup-simplify]: Simplify (/ 1 1) into 1 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.550 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.550 * [taylor]: Taking taylor expansion of re in im 0.550 * [backup-simplify]: Simplify re into re 0.550 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.550 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.550 * [backup-simplify]: Simplify (+ 1 0) into 1 0.550 * [backup-simplify]: Simplify (sqrt 1) into 1 0.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.551 * [backup-simplify]: Simplify (+ 0 0) into 0 0.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.552 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.552 * [taylor]: Taking taylor expansion of re in im 0.552 * [backup-simplify]: Simplify re into re 0.552 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.552 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.552 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.552 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.552 * [taylor]: Taking taylor expansion of im in re 0.552 * [backup-simplify]: Simplify im into im 0.552 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.552 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.552 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.552 * [taylor]: Taking taylor expansion of re in re 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 1 into 1 0.552 * [backup-simplify]: Simplify (* 1 1) into 1 0.553 * [backup-simplify]: Simplify (/ 1 1) into 1 0.553 * [backup-simplify]: Simplify (+ 0 1) into 1 0.553 * [backup-simplify]: Simplify (sqrt 1) into 1 0.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.554 * [backup-simplify]: Simplify (+ 0 0) into 0 0.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.554 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.554 * [taylor]: Taking taylor expansion of re in re 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (/ 1 1) into 1 0.555 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.555 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.555 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.555 * [taylor]: Taking taylor expansion of im in re 0.555 * [backup-simplify]: Simplify im into im 0.555 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.555 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.555 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.555 * [taylor]: Taking taylor expansion of re in re 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (* 1 1) into 1 0.555 * [backup-simplify]: Simplify (/ 1 1) into 1 0.556 * [backup-simplify]: Simplify (+ 0 1) into 1 0.556 * [backup-simplify]: Simplify (sqrt 1) into 1 0.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.557 * [backup-simplify]: Simplify (+ 0 0) into 0 0.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.557 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.557 * [taylor]: Taking taylor expansion of re in re 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 1 into 1 0.558 * [backup-simplify]: Simplify (/ 1 1) into 1 0.558 * [backup-simplify]: Simplify (- 1) into -1 0.558 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.558 * [taylor]: Taking taylor expansion of 0 in im 0.558 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (- 0) into 0 0.559 * [backup-simplify]: Simplify (+ 0 0) into 0 0.559 * [taylor]: Taking taylor expansion of 0 in im 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.560 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.561 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (- 0) into 0 0.562 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.562 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.562 * [taylor]: Taking taylor expansion of 1/2 in im 0.562 * [backup-simplify]: Simplify 1/2 into 1/2 0.562 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.562 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.562 * [taylor]: Taking taylor expansion of im in im 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 1 into 1 0.562 * [backup-simplify]: Simplify (* 1 1) into 1 0.563 * [backup-simplify]: Simplify (/ 1 1) into 1 0.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.565 * [backup-simplify]: Simplify (+ 0 0) into 0 0.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (- 0) into 0 0.567 * [backup-simplify]: Simplify (+ 0 0) into 0 0.567 * [taylor]: Taking taylor expansion of 0 in im 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * * * [progress]: simplifying candidates 0.569 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp 1) (exp (* (cbrt (log (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (log (+ (sqrt (+ (* re re) (* im im))) re))))) (exp (sqrt (log (+ (sqrt (+ (* re re) (* im im))) re)))) (exp 1) (exp (log (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (exp (log (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (log 1)) (exp (log (+ (sqrt (+ (* re re) (* im im))) re))) (exp (log 1)) (exp (log (+ (sqrt (+ (* re re) (* im im))) re))) (exp (log (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (exp (log (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))) (exp (log (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (exp (log (- (sqrt (+ (* re re) (* im im))) re))) (log (exp (log (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (exp (log (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (exp (log (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (exp (log (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (exp (log (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (exp (log (+ (sqrt (+ (* re re) (* im im))) re))) (exp (log (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (log (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (exp (log (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (exp (log (+ (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) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 0.570 * [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 1) (exp (* (cbrt (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (exp (sqrt (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (exp 1) (exp (log (* (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (exp (log (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (exp (log (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (exp (log (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (exp (log 1)) (exp (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (exp (log 1)) (exp (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (exp (log (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)))) (exp (log (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (exp (log (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)))) (exp (log (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (log (exp (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (exp (exp (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (cbrt (exp (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (cbrt (exp (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (cbrt (exp (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (* (exp (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (exp (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (exp (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (exp (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (exp (log (+ (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) (+ h1 h0) (* 2 h1) 0 (+ h1 h0) (* 2 h1) 0 0.573 * * [simplify]: iteration 0 : 178 enodes (cost 353 ) 0.577 * * [simplify]: iteration 1 : 429 enodes (cost 329 ) 0.584 * * [simplify]: iteration 2 : 957 enodes (cost 309 ) 0.603 * * [simplify]: iteration 3 : 2722 enodes (cost 301 ) 0.656 * * [simplify]: iteration 4 : 5001 enodes (cost 301 ) 0.658 * * * [progress]: adding candidates to table 0.801 * * [progress]: iteration 3 / 4 0.802 * * * [progress]: picking best candidate 0.816 * * * * [pick]: Picked # 0.817 * * * [progress]: localizing error 0.835 * * * [progress]: generating rewritten candidates 0.835 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 2 1 1) 0.843 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.865 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 2 1) 0.896 * * * [progress]: generating series expansions 0.896 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 2 1 1) 0.896 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.896 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.896 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.897 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.897 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.897 * [taylor]: Taking taylor expansion of re in im 0.897 * [backup-simplify]: Simplify re into re 0.897 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.897 * [taylor]: Taking taylor expansion of im in im 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 1 into 1 0.897 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.897 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.897 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.897 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.897 * [backup-simplify]: Simplify (+ 0 0) into 0 0.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.898 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.898 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.898 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.898 * [taylor]: Taking taylor expansion of re in re 0.898 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify 1 into 1 0.898 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.898 * [taylor]: Taking taylor expansion of im in re 0.898 * [backup-simplify]: Simplify im into im 0.898 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.898 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.898 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.898 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.898 * [backup-simplify]: Simplify (+ 0 0) into 0 0.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.898 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.898 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.898 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.898 * [taylor]: Taking taylor expansion of re in re 0.898 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify 1 into 1 0.898 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.898 * [taylor]: Taking taylor expansion of im in re 0.899 * [backup-simplify]: Simplify im into im 0.899 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.899 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.899 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.899 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.899 * [backup-simplify]: Simplify (+ 0 0) into 0 0.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.899 * [taylor]: Taking taylor expansion of im in im 0.899 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify 1 into 1 0.899 * [backup-simplify]: Simplify 0 into 0 0.899 * [taylor]: Taking taylor expansion of 0 in im 0.899 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify 1 into 1 0.900 * [backup-simplify]: Simplify (* 1 1) into 1 0.900 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.900 * [backup-simplify]: Simplify (+ 1 0) into 1 0.901 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.901 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.901 * [taylor]: Taking taylor expansion of 1/2 in im 0.901 * [backup-simplify]: Simplify 1/2 into 1/2 0.901 * [taylor]: Taking taylor expansion of im in im 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 1 into 1 0.901 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.902 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.903 * [backup-simplify]: Simplify (+ 0 0) into 0 0.903 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.903 * [taylor]: Taking taylor expansion of 0 in im 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.904 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.904 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.904 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.904 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.904 * [taylor]: Taking taylor expansion of im in im 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [backup-simplify]: Simplify (* 1 1) into 1 0.904 * [backup-simplify]: Simplify (/ 1 1) into 1 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.904 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.904 * [taylor]: Taking taylor expansion of re in im 0.904 * [backup-simplify]: Simplify re into re 0.904 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.904 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.905 * [backup-simplify]: Simplify (+ 1 0) into 1 0.905 * [backup-simplify]: Simplify (sqrt 1) into 1 0.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.906 * [backup-simplify]: Simplify (+ 0 0) into 0 0.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.907 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.907 * [taylor]: Taking taylor expansion of im in re 0.907 * [backup-simplify]: Simplify im into im 0.907 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.907 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.907 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.907 * [taylor]: Taking taylor expansion of re in re 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 1 into 1 0.907 * [backup-simplify]: Simplify (* 1 1) into 1 0.907 * [backup-simplify]: Simplify (/ 1 1) into 1 0.908 * [backup-simplify]: Simplify (+ 0 1) into 1 0.908 * [backup-simplify]: Simplify (sqrt 1) into 1 0.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.909 * [backup-simplify]: Simplify (+ 0 0) into 0 0.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.909 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.909 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.909 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.909 * [taylor]: Taking taylor expansion of im in re 0.909 * [backup-simplify]: Simplify im into im 0.909 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.910 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.910 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.910 * [taylor]: Taking taylor expansion of re in re 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 1 into 1 0.910 * [backup-simplify]: Simplify (* 1 1) into 1 0.910 * [backup-simplify]: Simplify (/ 1 1) into 1 0.910 * [backup-simplify]: Simplify (+ 0 1) into 1 0.911 * [backup-simplify]: Simplify (sqrt 1) into 1 0.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.912 * [backup-simplify]: Simplify (+ 0 0) into 0 0.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.912 * [taylor]: Taking taylor expansion of 1 in im 0.912 * [backup-simplify]: Simplify 1 into 1 0.912 * [taylor]: Taking taylor expansion of 0 in im 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 1 into 1 0.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.913 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.914 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.914 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.914 * [taylor]: Taking taylor expansion of 1/2 in im 0.914 * [backup-simplify]: Simplify 1/2 into 1/2 0.914 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.914 * [taylor]: Taking taylor expansion of im in im 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 1 into 1 0.914 * [backup-simplify]: Simplify (* 1 1) into 1 0.915 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (+ 0 0) into 0 0.918 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.918 * [taylor]: Taking taylor expansion of 0 in im 0.918 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.920 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.920 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.920 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.920 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.920 * [taylor]: Taking taylor expansion of im in im 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [backup-simplify]: Simplify (* 1 1) into 1 0.920 * [backup-simplify]: Simplify (/ 1 1) into 1 0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.920 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.920 * [taylor]: Taking taylor expansion of re in im 0.920 * [backup-simplify]: Simplify re into re 0.920 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.920 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.921 * [backup-simplify]: Simplify (+ 1 0) into 1 0.921 * [backup-simplify]: Simplify (sqrt 1) into 1 0.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.922 * [backup-simplify]: Simplify (+ 0 0) into 0 0.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.922 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.922 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.922 * [taylor]: Taking taylor expansion of im in re 0.922 * [backup-simplify]: Simplify im into im 0.922 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.922 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.923 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.923 * [taylor]: Taking taylor expansion of re in re 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify 1 into 1 0.923 * [backup-simplify]: Simplify (* 1 1) into 1 0.923 * [backup-simplify]: Simplify (/ 1 1) into 1 0.923 * [backup-simplify]: Simplify (+ 0 1) into 1 0.924 * [backup-simplify]: Simplify (sqrt 1) into 1 0.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.924 * [backup-simplify]: Simplify (+ 0 0) into 0 0.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.925 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.925 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.925 * [taylor]: Taking taylor expansion of im in re 0.925 * [backup-simplify]: Simplify im into im 0.925 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.925 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.925 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.925 * [taylor]: Taking taylor expansion of re in re 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 1 into 1 0.925 * [backup-simplify]: Simplify (* 1 1) into 1 0.926 * [backup-simplify]: Simplify (/ 1 1) into 1 0.926 * [backup-simplify]: Simplify (+ 0 1) into 1 0.926 * [backup-simplify]: Simplify (sqrt 1) into 1 0.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (+ 0 0) into 0 0.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.928 * [taylor]: Taking taylor expansion of 1 in im 0.928 * [backup-simplify]: Simplify 1 into 1 0.928 * [taylor]: Taking taylor expansion of 0 in im 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify 1 into 1 0.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.930 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.930 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.930 * [taylor]: Taking taylor expansion of 1/2 in im 0.930 * [backup-simplify]: Simplify 1/2 into 1/2 0.930 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.930 * [taylor]: Taking taylor expansion of im in im 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.930 * [backup-simplify]: Simplify (* 1 1) into 1 0.930 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.933 * [backup-simplify]: Simplify (+ 0 0) into 0 0.933 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.933 * [taylor]: Taking taylor expansion of 0 in im 0.933 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.934 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.935 * [backup-simplify]: Simplify (pow E (log (+ (sqrt (+ (* re re) (* im im))) re))) into (pow E (log (+ re (sqrt (+ (pow re 2) (pow im 2)))))) 0.935 * [approximate]: Taking taylor expansion of (pow E (log (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.935 * [taylor]: Taking taylor expansion of (pow E (log (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.935 * [taylor]: Taking taylor expansion of (exp (* (log (+ re (sqrt (+ (pow re 2) (pow im 2))))) (log E))) in im 0.935 * [taylor]: Taking taylor expansion of (* (log (+ re (sqrt (+ (pow re 2) (pow im 2))))) (log E)) in im 0.935 * [taylor]: Taking taylor expansion of (log (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.935 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.935 * [taylor]: Taking taylor expansion of re in im 0.935 * [backup-simplify]: Simplify re into re 0.935 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.935 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.935 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.935 * [taylor]: Taking taylor expansion of re in im 0.935 * [backup-simplify]: Simplify re into re 0.935 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.935 * [taylor]: Taking taylor expansion of im in im 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 1 into 1 0.935 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.935 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.935 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.935 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.935 * [backup-simplify]: Simplify (+ 0 0) into 0 0.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.935 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.936 * [backup-simplify]: Simplify (log (* 2 re)) into (log (* 2 re)) 0.936 * [taylor]: Taking taylor expansion of (log E) in im 0.936 * [taylor]: Taking taylor expansion of E in im 0.936 * [backup-simplify]: Simplify E into E 0.936 * [backup-simplify]: Simplify (log E) into 1 0.936 * [backup-simplify]: Simplify (* (log (* 2 re)) 1) into (log (* 2 re)) 0.936 * [backup-simplify]: Simplify (exp (log (* 2 re))) into (* 2 re) 0.936 * [taylor]: Taking taylor expansion of (pow E (log (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.936 * [taylor]: Taking taylor expansion of (exp (* (log (+ re (sqrt (+ (pow re 2) (pow im 2))))) (log E))) in re 0.936 * [taylor]: Taking taylor expansion of (* (log (+ re (sqrt (+ (pow re 2) (pow im 2))))) (log E)) in re 0.936 * [taylor]: Taking taylor expansion of (log (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.936 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.936 * [taylor]: Taking taylor expansion of re in re 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 1 into 1 0.936 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.936 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.936 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.936 * [taylor]: Taking taylor expansion of re in re 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 1 into 1 0.936 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.936 * [taylor]: Taking taylor expansion of im in re 0.936 * [backup-simplify]: Simplify im into im 0.936 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.936 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.936 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.936 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.937 * [backup-simplify]: Simplify (+ 0 0) into 0 0.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.937 * [backup-simplify]: Simplify (+ 0 im) into im 0.937 * [backup-simplify]: Simplify (log im) into (log im) 0.937 * [taylor]: Taking taylor expansion of (log E) in re 0.937 * [taylor]: Taking taylor expansion of E in re 0.937 * [backup-simplify]: Simplify E into E 0.937 * [backup-simplify]: Simplify (log E) into 1 0.937 * [backup-simplify]: Simplify (* (log im) 1) into (log im) 0.937 * [backup-simplify]: Simplify (exp (log im)) into im 0.937 * [taylor]: Taking taylor expansion of (pow E (log (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.937 * [taylor]: Taking taylor expansion of (exp (* (log (+ re (sqrt (+ (pow re 2) (pow im 2))))) (log E))) in re 0.937 * [taylor]: Taking taylor expansion of (* (log (+ re (sqrt (+ (pow re 2) (pow im 2))))) (log E)) in re 0.937 * [taylor]: Taking taylor expansion of (log (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.937 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.937 * [taylor]: Taking taylor expansion of re in re 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify 1 into 1 0.937 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.937 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.937 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.937 * [taylor]: Taking taylor expansion of re in re 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify 1 into 1 0.937 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.937 * [taylor]: Taking taylor expansion of im in re 0.937 * [backup-simplify]: Simplify im into im 0.937 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.937 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.937 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.937 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.938 * [backup-simplify]: Simplify (+ 0 0) into 0 0.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.938 * [backup-simplify]: Simplify (+ 0 im) into im 0.938 * [backup-simplify]: Simplify (log im) into (log im) 0.938 * [taylor]: Taking taylor expansion of (log E) in re 0.938 * [taylor]: Taking taylor expansion of E in re 0.938 * [backup-simplify]: Simplify E into E 0.938 * [backup-simplify]: Simplify (log E) into 1 0.938 * [backup-simplify]: Simplify (* (log im) 1) into (log im) 0.938 * [backup-simplify]: Simplify (exp (log im)) into im 0.938 * [taylor]: Taking taylor expansion of im in im 0.938 * [backup-simplify]: Simplify 0 into 0 0.938 * [backup-simplify]: Simplify 1 into 1 0.938 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0 0.939 * [backup-simplify]: Simplify (+ 1 0) into 1 0.940 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow im 1)))) 1) into (/ 1 im) 0.940 * [backup-simplify]: Simplify (+ (* (log im) 0) (* (/ 1 im) 1)) into (/ 1 im) 0.940 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow (/ 1 im) 1) 1)))) into 1 0.940 * [taylor]: Taking taylor expansion of 1 in im 0.940 * [backup-simplify]: Simplify 1 into 1 0.940 * [backup-simplify]: Simplify 1 into 1 0.940 * [backup-simplify]: Simplify 1 into 1 0.942 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow E 1)))) 2) into 0 0.942 * [backup-simplify]: Simplify (* 1 1) into 1 0.942 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.942 * [backup-simplify]: Simplify (+ 1 0) into 1 0.943 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.943 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.944 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 im))) 1)) (pow im 1)))) 2) into 0 0.944 * [backup-simplify]: Simplify (+ (* (log im) 0) (+ (* (/ 1 im) 0) (* 0 1))) into 0 0.944 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow (/ 1 im) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/2 im) 0.945 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.945 * [taylor]: Taking taylor expansion of 1/2 in im 0.945 * [backup-simplify]: Simplify 1/2 into 1/2 0.945 * [taylor]: Taking taylor expansion of im in im 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify 1 into 1 0.945 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow E 1)))) 6) into 0 0.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.949 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.949 * [backup-simplify]: Simplify (+ 0 0) into 0 0.949 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.950 * [backup-simplify]: Simplify (+ 0 0) into 0 0.951 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 (* 1/2 (/ 1 im))) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into (/ -1/6 (pow im 3)) 0.952 * [backup-simplify]: Simplify (+ (* (log im) 0) (+ (* (/ 1 im) 0) (+ (* 0 0) (* (/ -1/6 (pow im 3)) 1)))) into (- (* 1/6 (/ 1 (pow im 3)))) 0.952 * [backup-simplify]: Simplify (* (exp (log im)) (+ (* (/ (pow (/ 1 im) 3) 6)) (* (/ (pow (/ 1 im) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/6 (/ 1 (pow im 3)))) 1) 1)))) into 0 0.952 * [taylor]: Taking taylor expansion of 0 in im 0.952 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.953 * [backup-simplify]: Simplify (pow E (log (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (pow E (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) 0.953 * [approximate]: Taking taylor expansion of (pow E (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0 0.953 * [taylor]: Taking taylor expansion of (pow E (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.953 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (log E))) in im 0.954 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (log E)) in im 0.954 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.954 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.954 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.954 * [taylor]: Taking taylor expansion of re in im 0.954 * [backup-simplify]: Simplify re into re 0.954 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.954 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.954 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.954 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.954 * [taylor]: Taking taylor expansion of im in im 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 1 into 1 0.954 * [backup-simplify]: Simplify (* 1 1) into 1 0.954 * [backup-simplify]: Simplify (/ 1 1) into 1 0.954 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.954 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.954 * [taylor]: Taking taylor expansion of re in im 0.954 * [backup-simplify]: Simplify re into re 0.954 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.954 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.955 * [backup-simplify]: Simplify (+ 1 0) into 1 0.955 * [backup-simplify]: Simplify (sqrt 1) into 1 0.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.956 * [backup-simplify]: Simplify (+ 0 0) into 0 0.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.957 * [backup-simplify]: Simplify (+ 0 1) into 1 0.957 * [backup-simplify]: Simplify (log 1) into 0 0.957 * [taylor]: Taking taylor expansion of (log E) in im 0.957 * [taylor]: Taking taylor expansion of E in im 0.957 * [backup-simplify]: Simplify E into E 0.957 * [backup-simplify]: Simplify (log E) into 1 0.957 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 0.957 * [backup-simplify]: Simplify (* (- (log im)) 1) into (* -1 (log im)) 0.957 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1) 0.957 * [taylor]: Taking taylor expansion of (pow E (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.957 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (log E))) in re 0.957 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (log E)) in re 0.957 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.957 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.958 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.958 * [taylor]: Taking taylor expansion of re in re 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 1 into 1 0.958 * [backup-simplify]: Simplify (/ 1 1) into 1 0.958 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.958 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.958 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.958 * [taylor]: Taking taylor expansion of im in re 0.958 * [backup-simplify]: Simplify im into im 0.958 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.958 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.958 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.958 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.958 * [taylor]: Taking taylor expansion of re in re 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 1 into 1 0.958 * [backup-simplify]: Simplify (* 1 1) into 1 0.959 * [backup-simplify]: Simplify (/ 1 1) into 1 0.959 * [backup-simplify]: Simplify (+ 0 1) into 1 0.959 * [backup-simplify]: Simplify (sqrt 1) into 1 0.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.960 * [backup-simplify]: Simplify (+ 0 0) into 0 0.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.961 * [backup-simplify]: Simplify (+ 1 1) into 2 0.966 * [backup-simplify]: Simplify (log 2) into (log 2) 0.966 * [taylor]: Taking taylor expansion of (log E) in re 0.966 * [taylor]: Taking taylor expansion of E in re 0.966 * [backup-simplify]: Simplify E into E 0.966 * [backup-simplify]: Simplify (log E) into 1 0.966 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re)) 0.967 * [backup-simplify]: Simplify (* (- (log 2) (log re)) 1) into (- (log 2) (log re)) 0.967 * [backup-simplify]: Simplify (exp (- (log 2) (log re))) into (exp (- (log 2) (log re))) 0.967 * [taylor]: Taking taylor expansion of (pow E (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.967 * [taylor]: Taking taylor expansion of (exp (* (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (log E))) in re 0.967 * [taylor]: Taking taylor expansion of (* (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (log E)) in re 0.967 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.967 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.967 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.967 * [taylor]: Taking taylor expansion of re in re 0.967 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify 1 into 1 0.967 * [backup-simplify]: Simplify (/ 1 1) into 1 0.967 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.967 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.968 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.968 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.968 * [taylor]: Taking taylor expansion of im in re 0.968 * [backup-simplify]: Simplify im into im 0.968 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.968 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.968 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.968 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.968 * [taylor]: Taking taylor expansion of re in re 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 1 into 1 0.968 * [backup-simplify]: Simplify (* 1 1) into 1 0.969 * [backup-simplify]: Simplify (/ 1 1) into 1 0.969 * [backup-simplify]: Simplify (+ 0 1) into 1 0.969 * [backup-simplify]: Simplify (sqrt 1) into 1 0.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.970 * [backup-simplify]: Simplify (+ 0 0) into 0 0.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.971 * [backup-simplify]: Simplify (+ 1 1) into 2 0.971 * [backup-simplify]: Simplify (log 2) into (log 2) 0.971 * [taylor]: Taking taylor expansion of (log E) in re 0.971 * [taylor]: Taking taylor expansion of E in re 0.971 * [backup-simplify]: Simplify E into E 0.971 * [backup-simplify]: Simplify (log E) into 1 0.971 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re)) 0.972 * [backup-simplify]: Simplify (* (- (log 2) (log re)) 1) into (- (log 2) (log re)) 0.972 * [backup-simplify]: Simplify (exp (- (log 2) (log re))) into (exp (- (log 2) (log re))) 0.972 * [taylor]: Taking taylor expansion of (exp (- (log 2) (log re))) in im 0.972 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 0.972 * [taylor]: Taking taylor expansion of (log 2) in im 0.972 * [taylor]: Taking taylor expansion of 2 in im 0.972 * [backup-simplify]: Simplify 2 into 2 0.972 * [backup-simplify]: Simplify (log 2) into (log 2) 0.972 * [taylor]: Taking taylor expansion of (log re) in im 0.972 * [taylor]: Taking taylor expansion of re in im 0.972 * [backup-simplify]: Simplify re into re 0.973 * [backup-simplify]: Simplify (log re) into (log re) 0.973 * [backup-simplify]: Simplify (- (log re)) into (- (log re)) 0.973 * [backup-simplify]: Simplify (+ (log 2) (- (log re))) into (- (log 2) (log re)) 0.973 * [backup-simplify]: Simplify (exp (- (log 2) (log re))) into (exp (- (log 2) (log re))) 0.973 * [backup-simplify]: Simplify (exp (- (log 2) (log re))) into (exp (- (log 2) (log re))) 0.974 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re)) 0.975 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0 0.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.975 * [backup-simplify]: Simplify (+ 0 0) into 0 0.976 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 0.977 * [backup-simplify]: Simplify (+ (* (- (log 2) (log re)) 0) (* 0 1)) into 0 0.977 * [backup-simplify]: Simplify (* (exp (- (log 2) (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.977 * [taylor]: Taking taylor expansion of 0 in im 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 0.979 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 0.979 * [backup-simplify]: Simplify (- 0) into 0 0.979 * [backup-simplify]: Simplify (+ 0 0) into 0 0.980 * [backup-simplify]: Simplify (* (exp (- (log 2) (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re)) 0.982 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow E 1)))) 2) into 0 0.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.984 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.984 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.984 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.986 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow im 2)))) 1)) (pow 2 1)))) 2) into (/ 1/4 (pow im 2)) 0.986 * [backup-simplify]: Simplify (+ (* (- (log 2) (log re)) 0) (+ (* 0 0) (* (/ 1/4 (pow im 2)) 1))) into (* 1/4 (/ 1 (pow im 2))) 0.987 * [backup-simplify]: Simplify (* (exp (- (log 2) (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)))) into (* 1/4 (/ (exp (- (log 2) (log re))) (pow im 2))) 0.987 * [taylor]: Taking taylor expansion of (* 1/4 (/ (exp (- (log 2) (log re))) (pow im 2))) in im 0.987 * [taylor]: Taking taylor expansion of 1/4 in im 0.987 * [backup-simplify]: Simplify 1/4 into 1/4 0.987 * [taylor]: Taking taylor expansion of (/ (exp (- (log 2) (log re))) (pow im 2)) in im 0.987 * [taylor]: Taking taylor expansion of (exp (- (log 2) (log re))) in im 0.987 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 0.987 * [taylor]: Taking taylor expansion of (log 2) in im 0.987 * [taylor]: Taking taylor expansion of 2 in im 0.987 * [backup-simplify]: Simplify 2 into 2 0.988 * [backup-simplify]: Simplify (log 2) into (log 2) 0.988 * [taylor]: Taking taylor expansion of (log re) in im 0.988 * [taylor]: Taking taylor expansion of re in im 0.988 * [backup-simplify]: Simplify re into re 0.988 * [backup-simplify]: Simplify (log re) into (log re) 0.988 * [backup-simplify]: Simplify (- (log re)) into (- (log re)) 0.988 * [backup-simplify]: Simplify (+ (log 2) (- (log re))) into (- (log 2) (log re)) 0.988 * [backup-simplify]: Simplify (exp (- (log 2) (log re))) into (exp (- (log 2) (log re))) 0.988 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.988 * [taylor]: Taking taylor expansion of im in im 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 1 into 1 0.989 * [backup-simplify]: Simplify (* 1 1) into 1 0.989 * [backup-simplify]: Simplify (/ (exp (- (log 2) (log re))) 1) into (exp (- (log 2) (log re))) 0.990 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 0.990 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 0.990 * [backup-simplify]: Simplify (- 0) into 0 0.991 * [backup-simplify]: Simplify (+ 0 0) into 0 0.992 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 0.993 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 0.993 * [backup-simplify]: Simplify (- 0) into 0 0.994 * [backup-simplify]: Simplify (+ 0 0) into 0 0.994 * [backup-simplify]: Simplify (* (exp (- (log 2) (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.996 * [backup-simplify]: Simplify (* (exp (- (log 2) (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 0.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (log 2) (log re))) (/ 0 1)))) into 0 0.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (log 2) (log re))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.999 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (exp (- (log 2) (log re)))))) into 0 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1.001 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.001 * [backup-simplify]: Simplify (- 0) into 0 1.002 * [backup-simplify]: Simplify (+ 0 0) into 0 1.003 * [backup-simplify]: Simplify (* (exp (- (log 2) (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re)) 1.006 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow E 1)))) 6) into 0 1.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.006 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.008 * [backup-simplify]: Simplify (+ 0 0) into 0 1.008 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.008 * [backup-simplify]: Simplify (+ 0 0) into 0 1.011 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/2 (/ 1 (pow im 2)))) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1.011 * [backup-simplify]: Simplify (+ (* (- (log 2) (log re)) 0) (+ (* 0 0) (+ (* (/ 1/4 (pow im 2)) 0) (* 0 1)))) into 0 1.013 * [backup-simplify]: Simplify (* (exp (- (log 2) (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.013 * [taylor]: Taking taylor expansion of 0 in im 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify (exp (- (log 2) (log (/ 1 re)))) into (exp (- (log 2) (log (/ 1 re)))) 1.014 * [backup-simplify]: Simplify (pow E (log (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (pow E (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 1.014 * [approximate]: Taking taylor expansion of (pow E (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0 1.014 * [taylor]: Taking taylor expansion of (pow E (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.014 * [taylor]: Taking taylor expansion of (exp (* (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) (log E))) in im 1.014 * [taylor]: Taking taylor expansion of (* (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) (log E)) in im 1.014 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.014 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.014 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.014 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.014 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.014 * [taylor]: Taking taylor expansion of im in im 1.014 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify 1 into 1 1.014 * [backup-simplify]: Simplify (* 1 1) into 1 1.014 * [backup-simplify]: Simplify (/ 1 1) into 1 1.015 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.015 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.015 * [taylor]: Taking taylor expansion of re in im 1.015 * [backup-simplify]: Simplify re into re 1.015 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.015 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.015 * [backup-simplify]: Simplify (+ 1 0) into 1 1.015 * [backup-simplify]: Simplify (sqrt 1) into 1 1.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.016 * [backup-simplify]: Simplify (+ 0 0) into 0 1.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.017 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.017 * [taylor]: Taking taylor expansion of re in im 1.017 * [backup-simplify]: Simplify re into re 1.017 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.017 * [backup-simplify]: Simplify (+ 1 0) into 1 1.017 * [backup-simplify]: Simplify (log 1) into 0 1.017 * [taylor]: Taking taylor expansion of (log E) in im 1.017 * [taylor]: Taking taylor expansion of E in im 1.017 * [backup-simplify]: Simplify E into E 1.017 * [backup-simplify]: Simplify (log E) into 1 1.017 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 1.018 * [backup-simplify]: Simplify (* (- (log im)) 1) into (* -1 (log im)) 1.018 * [backup-simplify]: Simplify (exp (* -1 (log im))) into (pow im -1) 1.018 * [taylor]: Taking taylor expansion of (pow E (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 1.018 * [taylor]: Taking taylor expansion of (exp (* (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) (log E))) in re 1.018 * [taylor]: Taking taylor expansion of (* (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) (log E)) in re 1.018 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 1.018 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.018 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.018 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.018 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.018 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.018 * [taylor]: Taking taylor expansion of im in re 1.018 * [backup-simplify]: Simplify im into im 1.018 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.018 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.018 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.018 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.018 * [taylor]: Taking taylor expansion of re in re 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify 1 into 1 1.018 * [backup-simplify]: Simplify (* 1 1) into 1 1.019 * [backup-simplify]: Simplify (/ 1 1) into 1 1.019 * [backup-simplify]: Simplify (+ 0 1) into 1 1.019 * [backup-simplify]: Simplify (sqrt 1) into 1 1.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.020 * [backup-simplify]: Simplify (+ 0 0) into 0 1.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.021 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.021 * [taylor]: Taking taylor expansion of re in re 1.021 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify 1 into 1 1.021 * [backup-simplify]: Simplify (/ 1 1) into 1 1.021 * [backup-simplify]: Simplify (- 1) into -1 1.021 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.022 * [backup-simplify]: Simplify (- 0) into 0 1.022 * [backup-simplify]: Simplify (+ 0 0) into 0 1.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.023 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.024 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.025 * [backup-simplify]: Simplify (- 0) into 0 1.025 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.025 * [backup-simplify]: Simplify (log (* 1/2 (/ 1 (pow im 2)))) into (log (/ 1/2 (pow im 2))) 1.025 * [taylor]: Taking taylor expansion of (log E) in re 1.025 * [taylor]: Taking taylor expansion of E in re 1.025 * [backup-simplify]: Simplify E into E 1.025 * [backup-simplify]: Simplify (log E) into 1 1.025 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log (/ 1/2 (pow im 2))) (log re)) 1.026 * [backup-simplify]: Simplify (* (+ (log (/ 1/2 (pow im 2))) (log re)) 1) into (+ (log (/ 1/2 (pow im 2))) (log re)) 1.026 * [backup-simplify]: Simplify (exp (+ (log (/ 1/2 (pow im 2))) (log re))) into (exp (+ (log (/ 1/2 (pow im 2))) (log re))) 1.026 * [taylor]: Taking taylor expansion of (pow E (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 1.026 * [taylor]: Taking taylor expansion of (exp (* (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) (log E))) in re 1.026 * [taylor]: Taking taylor expansion of (* (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) (log E)) in re 1.026 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 1.026 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.026 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.026 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.026 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.026 * [taylor]: Taking taylor expansion of im in re 1.026 * [backup-simplify]: Simplify im into im 1.026 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.026 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.026 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.026 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.026 * [taylor]: Taking taylor expansion of re in re 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 1 into 1 1.026 * [backup-simplify]: Simplify (* 1 1) into 1 1.027 * [backup-simplify]: Simplify (/ 1 1) into 1 1.027 * [backup-simplify]: Simplify (+ 0 1) into 1 1.027 * [backup-simplify]: Simplify (sqrt 1) into 1 1.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.028 * [backup-simplify]: Simplify (+ 0 0) into 0 1.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.028 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.028 * [taylor]: Taking taylor expansion of re in re 1.028 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify 1 into 1 1.029 * [backup-simplify]: Simplify (/ 1 1) into 1 1.029 * [backup-simplify]: Simplify (- 1) into -1 1.029 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.030 * [backup-simplify]: Simplify (- 0) into 0 1.030 * [backup-simplify]: Simplify (+ 0 0) into 0 1.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.031 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.032 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.033 * [backup-simplify]: Simplify (- 0) into 0 1.033 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.033 * [backup-simplify]: Simplify (log (* 1/2 (/ 1 (pow im 2)))) into (log (/ 1/2 (pow im 2))) 1.033 * [taylor]: Taking taylor expansion of (log E) in re 1.033 * [taylor]: Taking taylor expansion of E in re 1.033 * [backup-simplify]: Simplify E into E 1.033 * [backup-simplify]: Simplify (log E) into 1 1.033 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log (/ 1/2 (pow im 2))) (log re)) 1.033 * [backup-simplify]: Simplify (* (+ (log (/ 1/2 (pow im 2))) (log re)) 1) into (+ (log (/ 1/2 (pow im 2))) (log re)) 1.034 * [backup-simplify]: Simplify (exp (+ (log (/ 1/2 (pow im 2))) (log re))) into (exp (+ (log (/ 1/2 (pow im 2))) (log re))) 1.034 * [taylor]: Taking taylor expansion of (exp (+ (log (/ 1/2 (pow im 2))) (log re))) in im 1.034 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 1.034 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 1.034 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.034 * [taylor]: Taking taylor expansion of 1/2 in im 1.034 * [backup-simplify]: Simplify 1/2 into 1/2 1.034 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.034 * [taylor]: Taking taylor expansion of im in im 1.034 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify 1 into 1 1.034 * [backup-simplify]: Simplify (* 1 1) into 1 1.034 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.034 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 1.035 * [taylor]: Taking taylor expansion of (log re) in im 1.035 * [taylor]: Taking taylor expansion of re in im 1.035 * [backup-simplify]: Simplify re into re 1.035 * [backup-simplify]: Simplify (log re) into (log re) 1.035 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) (log 1/2)) into (- (log 1/2) (* 2 (log im))) 1.035 * [backup-simplify]: Simplify (+ (- (log 1/2) (* 2 (log im))) (log re)) into (- (+ (log re) (log 1/2)) (* 2 (log im))) 1.036 * [backup-simplify]: Simplify (exp (- (+ (log re) (log 1/2)) (* 2 (log im)))) into (exp (- (+ (log re) (log 1/2)) (* 2 (log im)))) 1.036 * [backup-simplify]: Simplify (exp (- (+ (log re) (log 1/2)) (* 2 (log im)))) into (exp (- (+ (log re) (log 1/2)) (* 2 (log im)))) 1.036 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log (/ 1/2 (pow im 2))) (log re)) 1.037 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0 1.037 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.039 * [backup-simplify]: Simplify (+ 0 0) into 0 1.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.040 * [backup-simplify]: Simplify (- 0) into 0 1.040 * [backup-simplify]: Simplify (+ 0 0) into 0 1.041 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ 1 (pow im 2))) 1)))) 1) into 0 1.041 * [backup-simplify]: Simplify (+ (* (+ (log (/ 1/2 (pow im 2))) (log re)) 0) (* 0 1)) into 0 1.042 * [backup-simplify]: Simplify (* (exp (+ (log (/ 1/2 (pow im 2))) (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.042 * [taylor]: Taking taylor expansion of 0 in im 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.043 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 1.044 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.044 * [backup-simplify]: Simplify (+ 0 0) into 0 1.045 * [backup-simplify]: Simplify (* (exp (- (+ (log re) (log 1/2)) (* 2 (log im)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.045 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log (/ 1/2 (pow im 2))) (log re)) 1.047 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow E 1)))) 2) into 0 1.047 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 1.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.049 * [backup-simplify]: Simplify (+ 0 0) into 0 1.049 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 1.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.050 * [backup-simplify]: Simplify (- 0) into 0 1.050 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 1.051 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ 1 (pow im 2))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (/ 1 (pow im 4))))) 1)) (pow (* 1/2 (/ 1 (pow im 2))) 1)))) 2) into (/ -1/4 (pow im 2)) 1.052 * [backup-simplify]: Simplify (+ (* (+ (log (/ 1/2 (pow im 2))) (log re)) 0) (+ (* 0 0) (* (/ -1/4 (pow im 2)) 1))) into (- (* 1/4 (/ 1 (pow im 2)))) 1.052 * [backup-simplify]: Simplify (* (exp (+ (log (/ 1/2 (pow im 2))) (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 (pow im 2)))) 1) 1)))) into (* -1/4 (/ (exp (+ (log (/ 1/2 (pow im 2))) (log re))) (pow im 2))) 1.052 * [taylor]: Taking taylor expansion of (* -1/4 (/ (exp (+ (log (/ 1/2 (pow im 2))) (log re))) (pow im 2))) in im 1.052 * [taylor]: Taking taylor expansion of -1/4 in im 1.052 * [backup-simplify]: Simplify -1/4 into -1/4 1.053 * [taylor]: Taking taylor expansion of (/ (exp (+ (log (/ 1/2 (pow im 2))) (log re))) (pow im 2)) in im 1.053 * [taylor]: Taking taylor expansion of (exp (+ (log (/ 1/2 (pow im 2))) (log re))) in im 1.053 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 1.053 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 1.053 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.053 * [taylor]: Taking taylor expansion of 1/2 in im 1.053 * [backup-simplify]: Simplify 1/2 into 1/2 1.053 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.053 * [taylor]: Taking taylor expansion of im in im 1.053 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify 1 into 1 1.053 * [backup-simplify]: Simplify (* 1 1) into 1 1.053 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.053 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 1.053 * [taylor]: Taking taylor expansion of (log re) in im 1.053 * [taylor]: Taking taylor expansion of re in im 1.053 * [backup-simplify]: Simplify re into re 1.054 * [backup-simplify]: Simplify (log re) into (log re) 1.054 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) (log 1/2)) into (- (log 1/2) (* 2 (log im))) 1.054 * [backup-simplify]: Simplify (+ (- (log 1/2) (* 2 (log im))) (log re)) into (- (+ (log re) (log 1/2)) (* 2 (log im))) 1.055 * [backup-simplify]: Simplify (exp (- (+ (log re) (log 1/2)) (* 2 (log im)))) into (exp (- (+ (log re) (log 1/2)) (* 2 (log im)))) 1.055 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.055 * [taylor]: Taking taylor expansion of im in im 1.055 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify 1 into 1 1.055 * [backup-simplify]: Simplify (* 1 1) into 1 1.055 * [backup-simplify]: Simplify (/ (exp (- (+ (log re) (log 1/2)) (* 2 (log im)))) 1) into (exp (- (+ (log re) (log 1/2)) (* 2 (log im)))) 1.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.057 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 1.057 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.058 * [backup-simplify]: Simplify (+ 0 0) into 0 1.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.066 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 1.068 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.068 * [backup-simplify]: Simplify (+ 0 0) into 0 1.069 * [backup-simplify]: Simplify (* (exp (- (+ (log re) (log 1/2)) (* 2 (log im)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.071 * [backup-simplify]: Simplify (* (exp (- (+ (log re) (log 1/2)) (* 2 (log im)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log re) (log 1/2)) (* 2 (log im)))) (/ 0 1)))) into 0 1.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (- (+ (log re) (log 1/2)) (* 2 (log im)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.074 * [backup-simplify]: Simplify (+ (* -1/4 0) (+ (* 0 0) (* 0 (exp (- (+ (log re) (log 1/2)) (* 2 (log im))))))) into 0 1.074 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.076 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 1.077 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.078 * [backup-simplify]: Simplify (+ 0 0) into 0 1.079 * [backup-simplify]: Simplify (* (exp (- (+ (log re) (log 1/2)) (* 2 (log im)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log (/ 1/2 (pow im 2))) (log re)) 1.082 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow E 1)))) 6) into 0 1.082 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 1.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.084 * [backup-simplify]: Simplify (+ 0 0) into 0 1.084 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow im 4)))) (* 2 (* (/ 1/2 (pow im 2)) 0)))) (* 2 1)) into 0 1.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.085 * [backup-simplify]: Simplify (- 0) into 0 1.085 * [backup-simplify]: Simplify (+ 0 0) into 0 1.087 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 (/ 1 (pow im 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/8 (/ 1 (pow im 4))))) 1)) (pow (* 1/2 (/ 1 (pow im 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ 1 (pow im 2))) 1)))) 6) into 0 1.088 * [backup-simplify]: Simplify (+ (* (+ (log (/ 1/2 (pow im 2))) (log re)) 0) (+ (* 0 0) (+ (* (/ -1/4 (pow im 2)) 0) (* 0 1)))) into 0 1.089 * [backup-simplify]: Simplify (* (exp (+ (log (/ 1/2 (pow im 2))) (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/4 (/ 1 (pow im 2)))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.089 * [taylor]: Taking taylor expansion of 0 in im 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify (exp (- (+ (log (/ 1 (- re))) (log 1/2)) (* 2 (log (/ 1 (- im)))))) into (exp (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im))))) 1.090 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 2 1) 1.090 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 1.090 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 1.090 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.090 * [taylor]: Taking taylor expansion of re in im 1.090 * [backup-simplify]: Simplify re into re 1.090 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.090 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.090 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.090 * [taylor]: Taking taylor expansion of re in im 1.090 * [backup-simplify]: Simplify re into re 1.090 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.090 * [taylor]: Taking taylor expansion of im in im 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 1 into 1 1.090 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.090 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.090 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.090 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.091 * [backup-simplify]: Simplify (+ 0 0) into 0 1.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.091 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.091 * [taylor]: Taking taylor expansion of re in re 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify 1 into 1 1.091 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.091 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.091 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.091 * [taylor]: Taking taylor expansion of re in re 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify 1 into 1 1.091 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.091 * [taylor]: Taking taylor expansion of im in re 1.091 * [backup-simplify]: Simplify im into im 1.091 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.091 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.091 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.091 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.091 * [backup-simplify]: Simplify (+ 0 0) into 0 1.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.092 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.092 * [taylor]: Taking taylor expansion of re in re 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify 1 into 1 1.092 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.092 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.092 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.092 * [taylor]: Taking taylor expansion of re in re 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify 1 into 1 1.092 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.092 * [taylor]: Taking taylor expansion of im in re 1.092 * [backup-simplify]: Simplify im into im 1.092 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.092 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.092 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.092 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.092 * [backup-simplify]: Simplify (+ 0 0) into 0 1.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.092 * [backup-simplify]: Simplify (+ 0 im) into im 1.092 * [taylor]: Taking taylor expansion of im in im 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify 1 into 1 1.092 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify (+ 1 0) into 1 1.093 * [taylor]: Taking taylor expansion of 1 in im 1.093 * [backup-simplify]: Simplify 1 into 1 1.093 * [backup-simplify]: Simplify 1 into 1 1.093 * [backup-simplify]: Simplify 1 into 1 1.093 * [backup-simplify]: Simplify (* 1 1) into 1 1.093 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.094 * [backup-simplify]: Simplify (+ 1 0) into 1 1.094 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.094 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 1.094 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.094 * [taylor]: Taking taylor expansion of 1/2 in im 1.094 * [backup-simplify]: Simplify 1/2 into 1/2 1.094 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.094 * [taylor]: Taking taylor expansion of im in im 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 1 into 1 1.094 * [backup-simplify]: Simplify (/ 1 1) into 1 1.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.095 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.096 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.096 * [backup-simplify]: Simplify (+ 0 0) into 0 1.096 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.097 * [backup-simplify]: Simplify (+ 0 0) into 0 1.097 * [taylor]: Taking taylor expansion of 0 in im 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.098 * [backup-simplify]: Simplify 0 into 0 1.098 * [backup-simplify]: Simplify 0 into 0 1.098 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 1.098 * [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))))) 1.098 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.098 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.098 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.098 * [taylor]: Taking taylor expansion of re in im 1.098 * [backup-simplify]: Simplify re into re 1.098 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.098 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.098 * [taylor]: Taking taylor expansion of im in im 1.098 * [backup-simplify]: Simplify 0 into 0 1.098 * [backup-simplify]: Simplify 1 into 1 1.099 * [backup-simplify]: Simplify (* 1 1) into 1 1.099 * [backup-simplify]: Simplify (/ 1 1) into 1 1.099 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.099 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.099 * [taylor]: Taking taylor expansion of re in im 1.099 * [backup-simplify]: Simplify re into re 1.099 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.099 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.099 * [backup-simplify]: Simplify (+ 1 0) into 1 1.100 * [backup-simplify]: Simplify (sqrt 1) into 1 1.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.101 * [backup-simplify]: Simplify (+ 0 0) into 0 1.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.101 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.101 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.101 * [taylor]: Taking taylor expansion of re in re 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify 1 into 1 1.101 * [backup-simplify]: Simplify (/ 1 1) into 1 1.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.101 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.101 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.101 * [taylor]: Taking taylor expansion of im in re 1.101 * [backup-simplify]: Simplify im into im 1.101 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.102 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.102 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.102 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.102 * [taylor]: Taking taylor expansion of re in re 1.102 * [backup-simplify]: Simplify 0 into 0 1.102 * [backup-simplify]: Simplify 1 into 1 1.102 * [backup-simplify]: Simplify (* 1 1) into 1 1.102 * [backup-simplify]: Simplify (/ 1 1) into 1 1.102 * [backup-simplify]: Simplify (+ 0 1) into 1 1.103 * [backup-simplify]: Simplify (sqrt 1) into 1 1.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.104 * [backup-simplify]: Simplify (+ 0 0) into 0 1.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.104 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.104 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.104 * [taylor]: Taking taylor expansion of re in re 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify 1 into 1 1.105 * [backup-simplify]: Simplify (/ 1 1) into 1 1.105 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.105 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.105 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.105 * [taylor]: Taking taylor expansion of im in re 1.105 * [backup-simplify]: Simplify im into im 1.105 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.105 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.105 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.105 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.105 * [taylor]: Taking taylor expansion of re in re 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [backup-simplify]: Simplify (* 1 1) into 1 1.105 * [backup-simplify]: Simplify (/ 1 1) into 1 1.106 * [backup-simplify]: Simplify (+ 0 1) into 1 1.106 * [backup-simplify]: Simplify (sqrt 1) into 1 1.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.107 * [backup-simplify]: Simplify (+ 0 0) into 0 1.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.107 * [backup-simplify]: Simplify (+ 1 1) into 2 1.107 * [taylor]: Taking taylor expansion of 2 in im 1.107 * [backup-simplify]: Simplify 2 into 2 1.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.108 * [backup-simplify]: Simplify (+ 0 0) into 0 1.108 * [taylor]: Taking taylor expansion of 0 in im 1.108 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify 2 into 2 1.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.110 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.111 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.111 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.111 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.111 * [taylor]: Taking taylor expansion of 1/2 in im 1.111 * [backup-simplify]: Simplify 1/2 into 1/2 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.111 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.111 * [taylor]: Taking taylor expansion of im in im 1.111 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify 1 into 1 1.111 * [backup-simplify]: Simplify (* 1 1) into 1 1.111 * [backup-simplify]: Simplify (/ 1 1) into 1 1.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.112 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.112 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.113 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.115 * [backup-simplify]: Simplify (+ 0 0) into 0 1.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.115 * [backup-simplify]: Simplify (+ 0 0) into 0 1.115 * [taylor]: Taking taylor expansion of 0 in im 1.115 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.117 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 1.117 * [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)) 1.117 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.117 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.117 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.117 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.117 * [taylor]: Taking taylor expansion of im in im 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify 1 into 1 1.118 * [backup-simplify]: Simplify (* 1 1) into 1 1.118 * [backup-simplify]: Simplify (/ 1 1) into 1 1.118 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.118 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.118 * [taylor]: Taking taylor expansion of re in im 1.118 * [backup-simplify]: Simplify re into re 1.118 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.118 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.118 * [backup-simplify]: Simplify (+ 1 0) into 1 1.119 * [backup-simplify]: Simplify (sqrt 1) into 1 1.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.120 * [backup-simplify]: Simplify (+ 0 0) into 0 1.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.120 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.120 * [taylor]: Taking taylor expansion of re in im 1.120 * [backup-simplify]: Simplify re into re 1.120 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.120 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.120 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.120 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.120 * [taylor]: Taking taylor expansion of im in re 1.120 * [backup-simplify]: Simplify im into im 1.120 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.120 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.121 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.121 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.121 * [taylor]: Taking taylor expansion of re in re 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify 1 into 1 1.121 * [backup-simplify]: Simplify (* 1 1) into 1 1.121 * [backup-simplify]: Simplify (/ 1 1) into 1 1.121 * [backup-simplify]: Simplify (+ 0 1) into 1 1.121 * [backup-simplify]: Simplify (sqrt 1) into 1 1.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.122 * [backup-simplify]: Simplify (+ 0 0) into 0 1.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.123 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.123 * [taylor]: Taking taylor expansion of re in re 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 1 into 1 1.123 * [backup-simplify]: Simplify (/ 1 1) into 1 1.123 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.123 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.123 * [taylor]: Taking taylor expansion of im in re 1.123 * [backup-simplify]: Simplify im into im 1.123 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.123 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.123 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.124 * [taylor]: Taking taylor expansion of re in re 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify 1 into 1 1.124 * [backup-simplify]: Simplify (* 1 1) into 1 1.124 * [backup-simplify]: Simplify (/ 1 1) into 1 1.124 * [backup-simplify]: Simplify (+ 0 1) into 1 1.124 * [backup-simplify]: Simplify (sqrt 1) into 1 1.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.125 * [backup-simplify]: Simplify (+ 0 0) into 0 1.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.126 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.126 * [taylor]: Taking taylor expansion of re in re 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 1 into 1 1.126 * [backup-simplify]: Simplify (/ 1 1) into 1 1.126 * [backup-simplify]: Simplify (- 1) into -1 1.127 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.127 * [taylor]: Taking taylor expansion of 0 in im 1.127 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.127 * [backup-simplify]: Simplify (- 0) into 0 1.127 * [backup-simplify]: Simplify (+ 0 0) into 0 1.128 * [taylor]: Taking taylor expansion of 0 in im 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.129 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.129 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.130 * [backup-simplify]: Simplify (- 0) into 0 1.130 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.130 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.130 * [taylor]: Taking taylor expansion of 1/2 in im 1.130 * [backup-simplify]: Simplify 1/2 into 1/2 1.130 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.130 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.130 * [taylor]: Taking taylor expansion of im in im 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 1 into 1 1.131 * [backup-simplify]: Simplify (* 1 1) into 1 1.131 * [backup-simplify]: Simplify (/ 1 1) into 1 1.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.134 * [backup-simplify]: Simplify (+ 0 0) into 0 1.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.135 * [backup-simplify]: Simplify (- 0) into 0 1.135 * [backup-simplify]: Simplify (+ 0 0) into 0 1.135 * [taylor]: Taking taylor expansion of 0 in im 1.135 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * * * [progress]: simplifying candidates 1.138 * [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)))) (* 1 (log (+ (sqrt (+ (* re re) (* im im))) re))) (* (log E) (log (+ (sqrt (+ (* re re) (* im im))) re))) (* (log E) (log (+ (sqrt (+ (* re re) (* im im))) re))) (* 1 (log (+ (sqrt (+ (* re re) (* im im))) re))) (pow E (log (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (pow E (log (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))) (pow E (log (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (pow E (log (- (sqrt (+ (* re re) (* im im))) re))) (pow E 1) (pow E (* (cbrt (log (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (log (+ (sqrt (+ (* re re) (* im im))) re))))) (pow E (sqrt (log (+ (sqrt (+ (* re re) (* im im))) re)))) (pow E 1) (pow E (log (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (pow E (log (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (pow E (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (pow E (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (pow E (log 1)) (pow E (log (+ (sqrt (+ (* re re) (* im im))) re))) (pow E (log 1)) (pow E (log (+ (sqrt (+ (* re re) (* im im))) re))) (pow (* (cbrt E) (cbrt E)) (log (+ (sqrt (+ (* re re) (* im im))) re))) (pow (cbrt E) (log (+ (sqrt (+ (* re re) (* im im))) re))) (pow (sqrt E) (log (+ (sqrt (+ (* re re) (* im im))) re))) (pow (sqrt E) (log (+ (sqrt (+ (* re re) (* im im))) re))) (pow 1 (log (+ (sqrt (+ (* re re) (* im im))) re))) (pow E (log (+ (sqrt (+ (* re re) (* im im))) re))) (log (pow E (log (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (pow E (log (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (pow E (log (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (pow E (log (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (pow E (log (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (pow E (log (+ (sqrt (+ (* re re) (* im im))) re))) (pow E (log (+ (sqrt (+ (* re re) (* im im))) re)))) (pow E (log (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (pow E (log (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (pow E (log (+ (sqrt (+ (* re re) (* im im))) re)))) (pow E (/ (log (+ (sqrt (+ (* re re) (* im im))) re)) 2)) (pow E (/ (log (+ (sqrt (+ (* re re) (* im im))) re)) 2)) (* (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) (+ re im) (exp (- (log 2) (log (/ 1 re)))) (exp (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im))))) (+ re im) (* 2 re) 0 1.138 * [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)))) (* 1 (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (* (log h2) (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (* (log h2) (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (* 1 (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (pow h2 (log (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)))) (pow h2 (log (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (pow h2 (log (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)))) (pow h2 (log (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (pow h2 1) (pow h2 (* (cbrt (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (pow h2 (sqrt (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (pow h2 1) (pow h2 (log (* (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (pow h2 (log (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (pow h2 (log (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (pow h2 (log (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (pow h2 (log 1)) (pow h2 (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (pow h2 (log 1)) (pow h2 (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (pow (* (cbrt h2) (cbrt h2)) (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (pow (cbrt h2) (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (pow (sqrt h2) (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (pow (sqrt h2) (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (pow 1 (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (pow h2 (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (log (pow h2 (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (exp (pow h2 (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (cbrt (pow h2 (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (cbrt (pow h2 (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (cbrt (pow h2 (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (* (pow h2 (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (pow h2 (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (pow h2 (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (pow h2 (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (pow h2 (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (pow h2 (/ (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) 2)) (pow h2 (/ (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) 2)) (* (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) (+ h1 h0) (exp (- (log 2) (log (/ 1 h1)))) (exp (- (+ (log (/ -1 h1)) (log 1/2)) (* 2 (log (/ -1 h0))))) (+ h1 h0) (* 2 h1) 0 1.142 * * [simplify]: iteration 0 : 270 enodes (cost 500 ) 1.147 * * [simplify]: iteration 1 : 742 enodes (cost 477 ) 1.159 * * [simplify]: iteration 2 : 2186 enodes (cost 459 ) 1.201 * * [simplify]: iteration 3 : 5002 enodes (cost 456 ) 1.203 * * * [progress]: adding candidates to table 1.384 * * [progress]: iteration 4 / 4 1.384 * * * [progress]: picking best candidate 1.397 * * * * [pick]: Picked # 1.397 * * * [progress]: localizing error 1.408 * * * [progress]: generating rewritten candidates 1.408 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 1.419 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.462 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.493 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 1.535 * * * [progress]: generating series expansions 1.535 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 1.535 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.535 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.535 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.535 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.535 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.535 * [taylor]: Taking taylor expansion of re in im 1.535 * [backup-simplify]: Simplify re into re 1.535 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.535 * [taylor]: Taking taylor expansion of im in im 1.535 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify 1 into 1 1.535 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.535 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.535 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.536 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.536 * [backup-simplify]: Simplify (+ 0 0) into 0 1.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.536 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.536 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.536 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.536 * [taylor]: Taking taylor expansion of re in re 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify 1 into 1 1.536 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.536 * [taylor]: Taking taylor expansion of im in re 1.536 * [backup-simplify]: Simplify im into im 1.536 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.536 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.537 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.537 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.537 * [backup-simplify]: Simplify (+ 0 0) into 0 1.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.537 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.537 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 1.537 * [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 (+ 0 (pow im 2)) into (pow im 2) 1.537 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.537 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.538 * [backup-simplify]: Simplify (+ 0 0) into 0 1.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.538 * [taylor]: Taking taylor expansion of im in im 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 1 into 1 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [taylor]: Taking taylor expansion of 0 in im 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 1 into 1 1.538 * [backup-simplify]: Simplify (* 1 1) into 1 1.538 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.539 * [backup-simplify]: Simplify (+ 1 0) into 1 1.539 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.539 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.539 * [taylor]: Taking taylor expansion of 1/2 in im 1.539 * [backup-simplify]: Simplify 1/2 into 1/2 1.539 * [taylor]: Taking taylor expansion of im in im 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 1 into 1 1.540 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.541 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.541 * [backup-simplify]: Simplify (+ 0 0) into 0 1.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) 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 (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.542 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.542 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.542 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.542 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.542 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.542 * [taylor]: Taking taylor expansion of im in im 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 1 into 1 1.542 * [backup-simplify]: Simplify (* 1 1) into 1 1.543 * [backup-simplify]: Simplify (/ 1 1) into 1 1.543 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.543 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.543 * [taylor]: Taking taylor expansion of re in im 1.543 * [backup-simplify]: Simplify re into re 1.543 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.543 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.543 * [backup-simplify]: Simplify (+ 1 0) into 1 1.543 * [backup-simplify]: Simplify (sqrt 1) into 1 1.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.544 * [backup-simplify]: Simplify (+ 0 0) into 0 1.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.545 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.545 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.545 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.545 * [taylor]: Taking taylor expansion of im in re 1.545 * [backup-simplify]: Simplify im into im 1.545 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.545 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.545 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.545 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.545 * [taylor]: Taking taylor expansion of re in re 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 1 into 1 1.545 * [backup-simplify]: Simplify (* 1 1) into 1 1.546 * [backup-simplify]: Simplify (/ 1 1) into 1 1.546 * [backup-simplify]: Simplify (+ 0 1) into 1 1.546 * [backup-simplify]: Simplify (sqrt 1) into 1 1.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.547 * [backup-simplify]: Simplify (+ 0 0) into 0 1.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.548 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.548 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.548 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.548 * [taylor]: Taking taylor expansion of im in re 1.548 * [backup-simplify]: Simplify im into im 1.548 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.548 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.548 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.548 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.548 * [taylor]: Taking taylor expansion of re in re 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify 1 into 1 1.548 * [backup-simplify]: Simplify (* 1 1) into 1 1.548 * [backup-simplify]: Simplify (/ 1 1) into 1 1.549 * [backup-simplify]: Simplify (+ 0 1) into 1 1.549 * [backup-simplify]: Simplify (sqrt 1) into 1 1.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.550 * [backup-simplify]: Simplify (+ 0 0) into 0 1.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.550 * [taylor]: Taking taylor expansion of 1 in im 1.550 * [backup-simplify]: Simplify 1 into 1 1.550 * [taylor]: Taking taylor expansion of 0 in im 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 1 into 1 1.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.552 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.552 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.552 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.552 * [taylor]: Taking taylor expansion of 1/2 in im 1.552 * [backup-simplify]: Simplify 1/2 into 1/2 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 1.553 * [backup-simplify]: Simplify (* 1 1) into 1 1.553 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.555 * [backup-simplify]: Simplify (+ 0 0) into 0 1.556 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.556 * [taylor]: Taking taylor expansion of 0 in im 1.556 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.557 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.557 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.557 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.557 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.557 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.557 * [taylor]: Taking taylor expansion of im in im 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 1 into 1 1.558 * [backup-simplify]: Simplify (* 1 1) into 1 1.558 * [backup-simplify]: Simplify (/ 1 1) into 1 1.558 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.558 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.558 * [taylor]: Taking taylor expansion of re in im 1.558 * [backup-simplify]: Simplify re into re 1.558 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.558 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.558 * [backup-simplify]: Simplify (+ 1 0) into 1 1.558 * [backup-simplify]: Simplify (sqrt 1) into 1 1.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.559 * [backup-simplify]: Simplify (+ 0 0) into 0 1.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.560 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.560 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.560 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.560 * [taylor]: Taking taylor expansion of im in re 1.560 * [backup-simplify]: Simplify im into im 1.560 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.560 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.560 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.560 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.560 * [taylor]: Taking taylor expansion of re in re 1.560 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify 1 into 1 1.560 * [backup-simplify]: Simplify (* 1 1) into 1 1.561 * [backup-simplify]: Simplify (/ 1 1) into 1 1.561 * [backup-simplify]: Simplify (+ 0 1) into 1 1.561 * [backup-simplify]: Simplify (sqrt 1) into 1 1.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.562 * [backup-simplify]: Simplify (+ 0 0) into 0 1.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.563 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.563 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.563 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.563 * [taylor]: Taking taylor expansion of im in re 1.563 * [backup-simplify]: Simplify im into im 1.563 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.563 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.563 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.563 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.563 * [taylor]: Taking taylor expansion of re in re 1.563 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify 1 into 1 1.563 * [backup-simplify]: Simplify (* 1 1) into 1 1.564 * [backup-simplify]: Simplify (/ 1 1) into 1 1.564 * [backup-simplify]: Simplify (+ 0 1) into 1 1.564 * [backup-simplify]: Simplify (sqrt 1) into 1 1.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.565 * [backup-simplify]: Simplify (+ 0 0) into 0 1.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.566 * [taylor]: Taking taylor expansion of 1 in im 1.566 * [backup-simplify]: Simplify 1 into 1 1.566 * [taylor]: Taking taylor expansion of 0 in im 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 1 into 1 1.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.567 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.568 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.568 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.568 * [taylor]: Taking taylor expansion of 1/2 in im 1.568 * [backup-simplify]: Simplify 1/2 into 1/2 1.568 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.568 * [taylor]: Taking taylor expansion of im in im 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 (/ 1/2 1) into 1/2 1.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.571 * [backup-simplify]: Simplify (+ 0 0) into 0 1.571 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.571 * [taylor]: Taking taylor expansion of 0 in im 1.571 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.572 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.572 * [backup-simplify]: Simplify (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)) into (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) 1.572 * [approximate]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in (im re) around 0 1.573 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 1.573 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.573 * [taylor]: Taking taylor expansion of im in re 1.573 * [backup-simplify]: Simplify im into im 1.573 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.573 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.573 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.573 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.573 * [taylor]: Taking taylor expansion of re in re 1.573 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify 1 into 1 1.573 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.573 * [taylor]: Taking taylor expansion of im in re 1.573 * [backup-simplify]: Simplify im into im 1.573 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.573 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.573 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.573 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.573 * [backup-simplify]: Simplify (+ 0 0) into 0 1.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.573 * [taylor]: Taking taylor expansion of re in re 1.573 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify 1 into 1 1.573 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.574 * [backup-simplify]: Simplify (- 0) into 0 1.574 * [backup-simplify]: Simplify (+ im 0) into im 1.574 * [backup-simplify]: Simplify (/ (pow im 2) im) into im 1.574 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 1.574 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.574 * [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 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.574 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.574 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.574 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.574 * [taylor]: Taking taylor expansion of re in im 1.574 * [backup-simplify]: Simplify re into re 1.574 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.574 * [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 (* re re) into (pow re 2) 1.574 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.574 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.574 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.575 * [backup-simplify]: Simplify (+ 0 0) into 0 1.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.575 * [taylor]: Taking taylor expansion of re in im 1.575 * [backup-simplify]: Simplify re into re 1.575 * [backup-simplify]: Simplify (* 1 1) into 1 1.575 * [backup-simplify]: Simplify (- re) into (- re) 1.575 * [backup-simplify]: Simplify (+ re (- re)) into 0 1.575 * [backup-simplify]: Simplify (- 0) into 0 1.575 * [backup-simplify]: Simplify (+ 0 0) into 0 1.576 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.576 * [backup-simplify]: Simplify (* 1 1) into 1 1.576 * [backup-simplify]: Simplify (+ 0 1) into 1 1.577 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 1.577 * [backup-simplify]: Simplify (- 0) into 0 1.577 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 1.577 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 1.577 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 1.577 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.577 * [taylor]: Taking taylor expansion of im in im 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify 1 into 1 1.577 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.577 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.577 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.577 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.577 * [taylor]: Taking taylor expansion of re in im 1.577 * [backup-simplify]: Simplify re into re 1.577 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.577 * [taylor]: Taking taylor expansion of im in im 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify 1 into 1 1.577 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.577 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.577 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.577 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.578 * [backup-simplify]: Simplify (+ 0 0) into 0 1.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.578 * [taylor]: Taking taylor expansion of re in im 1.578 * [backup-simplify]: Simplify re into re 1.578 * [backup-simplify]: Simplify (* 1 1) into 1 1.578 * [backup-simplify]: Simplify (- re) into (- re) 1.578 * [backup-simplify]: Simplify (+ re (- re)) into 0 1.578 * [backup-simplify]: Simplify (- 0) into 0 1.579 * [backup-simplify]: Simplify (+ 0 0) into 0 1.579 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.579 * [backup-simplify]: Simplify (* 1 1) into 1 1.579 * [backup-simplify]: Simplify (+ 0 1) into 1 1.580 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 1.580 * [backup-simplify]: Simplify (- 0) into 0 1.580 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 1.580 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 1.580 * [taylor]: Taking taylor expansion of (* 2 re) in re 1.580 * [taylor]: Taking taylor expansion of 2 in re 1.580 * [backup-simplify]: Simplify 2 into 2 1.580 * [taylor]: Taking taylor expansion of re in re 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify 1 into 1 1.580 * [backup-simplify]: Simplify (* 2 0) into 0 1.580 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.581 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 1.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.582 * [backup-simplify]: Simplify (+ 0 0) into 0 1.582 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 1.582 * [backup-simplify]: Simplify (- 0) into 0 1.582 * [backup-simplify]: Simplify (+ 0 0) into 0 1.583 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 1.583 * [taylor]: Taking taylor expansion of 0 in re 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.583 * [backup-simplify]: Simplify 2 into 2 1.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.584 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 1.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.585 * [backup-simplify]: Simplify (+ 0 0) into 0 1.586 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 1.586 * [backup-simplify]: Simplify (- 0) into 0 1.586 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 1.586 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re)) 1.586 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re 1.586 * [taylor]: Taking taylor expansion of 1/2 in re 1.586 * [backup-simplify]: Simplify 1/2 into 1/2 1.586 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.586 * [taylor]: Taking taylor expansion of re in re 1.586 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify 1 into 1 1.587 * [backup-simplify]: Simplify (/ 1 1) into 1 1.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.588 * [backup-simplify]: Simplify (+ (* 1/2 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 (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1.588 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.590 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0 1.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.590 * [backup-simplify]: Simplify (+ 0 0) into 0 1.591 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0 1.591 * [backup-simplify]: Simplify (- 0) into 0 1.591 * [backup-simplify]: Simplify (+ 0 0) into 0 1.591 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0 1.591 * [taylor]: Taking taylor expansion of 0 in re 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.592 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.592 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify (* 2 (* re 1)) into (* 2 re) 1.593 * [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))) 1.593 * [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 1.593 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in re 1.593 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in re 1.593 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.593 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.593 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.593 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.593 * [taylor]: Taking taylor expansion of im in re 1.593 * [backup-simplify]: Simplify im into im 1.593 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.593 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.593 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.593 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.593 * [taylor]: Taking taylor expansion of re in re 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 1 into 1 1.594 * [backup-simplify]: Simplify (* 1 1) into 1 1.594 * [backup-simplify]: Simplify (/ 1 1) into 1 1.594 * [backup-simplify]: Simplify (+ 0 1) into 1 1.594 * [backup-simplify]: Simplify (sqrt 1) into 1 1.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.595 * [backup-simplify]: Simplify (+ 0 0) into 0 1.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.596 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.596 * [taylor]: Taking taylor expansion of re in re 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [backup-simplify]: Simplify (/ 1 1) into 1 1.596 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.596 * [taylor]: Taking taylor expansion of im in re 1.596 * [backup-simplify]: Simplify im into im 1.596 * [backup-simplify]: Simplify (- 1) into -1 1.596 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.596 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.597 * [backup-simplify]: Simplify (* 0 (pow im 2)) into 0 1.597 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.597 * [backup-simplify]: Simplify (- 0) into 0 1.597 * [backup-simplify]: Simplify (+ 0 0) into 0 1.598 * [backup-simplify]: Simplify (+ (* 0 0) (* 0 (pow im 2))) into 0 1.598 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.599 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.600 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.601 * [backup-simplify]: Simplify (- 0) into 0 1.601 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.601 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0 0) (* (* 1/2 (/ 1 (pow im 2))) (pow im 2)))) into 1/2 1.602 * [backup-simplify]: Simplify (/ 1 1/2) into 2 1.602 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 1.602 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 1.602 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.602 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.602 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.602 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.602 * [taylor]: Taking taylor expansion of im in im 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 1 into 1 1.602 * [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)) 1.603 * [backup-simplify]: Simplify (+ 1 0) into 1 1.603 * [backup-simplify]: Simplify (sqrt 1) into 1 1.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.604 * [backup-simplify]: Simplify (+ 0 0) into 0 1.604 * [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 1.605 * [backup-simplify]: Simplify (+ 1 0) into 1 1.605 * [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 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 1.605 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 1.605 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.605 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.605 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.605 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.605 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.605 * [taylor]: Taking taylor expansion of im in im 1.605 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 1 into 1 1.606 * [backup-simplify]: Simplify (* 1 1) into 1 1.606 * [backup-simplify]: Simplify (/ 1 1) into 1 1.606 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.606 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.606 * [taylor]: Taking taylor expansion of re in im 1.606 * [backup-simplify]: Simplify re into re 1.606 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.606 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.606 * [backup-simplify]: Simplify (+ 1 0) into 1 1.607 * [backup-simplify]: Simplify (sqrt 1) into 1 1.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.608 * [backup-simplify]: Simplify (+ 0 0) into 0 1.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.608 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.608 * [taylor]: Taking taylor expansion of re in im 1.608 * [backup-simplify]: Simplify re into re 1.608 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.608 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.608 * [taylor]: Taking taylor expansion of im in im 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify 1 into 1 1.608 * [backup-simplify]: Simplify (+ 1 0) into 1 1.609 * [backup-simplify]: Simplify (* 1 1) into 1 1.609 * [backup-simplify]: Simplify (* 1 1) into 1 1.609 * [backup-simplify]: Simplify (/ 1 1) into 1 1.609 * [taylor]: Taking taylor expansion of 1 in re 1.609 * [backup-simplify]: Simplify 1 into 1 1.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.610 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 1.610 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 1.610 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 re)) 1)) into (- (/ 1 re)) 1.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 1.610 * [taylor]: Taking taylor expansion of (/ 1 re) 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 into 1 1.610 * [backup-simplify]: Simplify 1 into 1 1.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.612 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 1.613 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 1.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.613 * [backup-simplify]: Simplify (- 0) into 0 1.613 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 1.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 1.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 1.614 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 1.614 * [taylor]: Taking taylor expansion of 1/2 in re 1.614 * [backup-simplify]: Simplify 1/2 into 1/2 1.614 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.614 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.614 * [taylor]: Taking taylor expansion of re in re 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.615 * [backup-simplify]: Simplify (* 1 1) into 1 1.615 * [backup-simplify]: Simplify (/ 1 1) into 1 1.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.618 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.618 * [backup-simplify]: Simplify (+ 0 0) into 0 1.619 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 1.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.619 * [backup-simplify]: Simplify (- 0) into 0 1.619 * [backup-simplify]: Simplify (+ 0 0) into 0 1.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (+ (* (* 1/2 (/ 1 (pow re 2))) 0) (* 0 1)))) into 0 1.621 * [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 1.621 * [taylor]: Taking taylor expansion of 0 in re 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.622 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.622 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 im)))) (* 1 (* (/ 1 (/ 1 re)) 1))) into (+ re im) 1.623 * [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))) 1.623 * [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 1.623 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in re 1.623 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in re 1.623 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.623 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.623 * [taylor]: Taking taylor expansion of re in re 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 1 into 1 1.624 * [backup-simplify]: Simplify (/ 1 1) into 1 1.624 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.624 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.624 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.624 * [taylor]: Taking taylor expansion of im in re 1.624 * [backup-simplify]: Simplify im into im 1.624 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.624 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.624 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.624 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.624 * [taylor]: Taking taylor expansion of re in re 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 1 into 1 1.624 * [backup-simplify]: Simplify (* 1 1) into 1 1.624 * [backup-simplify]: Simplify (/ 1 1) into 1 1.625 * [backup-simplify]: Simplify (+ 0 1) into 1 1.625 * [backup-simplify]: Simplify (sqrt 1) into 1 1.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.626 * [backup-simplify]: Simplify (+ 0 0) into 0 1.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.626 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.626 * [taylor]: Taking taylor expansion of im in re 1.626 * [backup-simplify]: Simplify im into im 1.627 * [backup-simplify]: Simplify (+ 1 1) into 2 1.627 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.627 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2)) 1.627 * [backup-simplify]: Simplify (/ 1 (* 2 (pow im 2))) into (/ 1/2 (pow im 2)) 1.627 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 1.627 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 1.627 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.627 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.627 * [taylor]: Taking taylor expansion of re in im 1.627 * [backup-simplify]: Simplify re into re 1.627 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.627 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.627 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.627 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.627 * [taylor]: Taking taylor expansion of im in im 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 1 into 1 1.627 * [backup-simplify]: Simplify (* 1 1) into 1 1.628 * [backup-simplify]: Simplify (/ 1 1) into 1 1.628 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.628 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.628 * [taylor]: Taking taylor expansion of re in im 1.628 * [backup-simplify]: Simplify re into re 1.628 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.628 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.628 * [backup-simplify]: Simplify (+ 1 0) into 1 1.628 * [backup-simplify]: Simplify (sqrt 1) into 1 1.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.635 * [backup-simplify]: Simplify (+ 0 0) into 0 1.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.635 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.635 * [taylor]: Taking taylor expansion of im in im 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 1 into 1 1.636 * [backup-simplify]: Simplify (+ 0 1) into 1 1.636 * [backup-simplify]: Simplify (* 1 1) into 1 1.636 * [backup-simplify]: Simplify (* 1 1) into 1 1.636 * [backup-simplify]: Simplify (/ 1 1) into 1 1.636 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 1.636 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 1.636 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.636 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.636 * [taylor]: Taking taylor expansion of re in im 1.636 * [backup-simplify]: Simplify re into re 1.637 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.637 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.637 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.637 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.637 * [taylor]: Taking taylor expansion of im in im 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 1 into 1 1.637 * [backup-simplify]: Simplify (* 1 1) into 1 1.637 * [backup-simplify]: Simplify (/ 1 1) into 1 1.637 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.637 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.637 * [taylor]: Taking taylor expansion of re in im 1.637 * [backup-simplify]: Simplify re into re 1.637 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.637 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.638 * [backup-simplify]: Simplify (+ 1 0) into 1 1.638 * [backup-simplify]: Simplify (sqrt 1) into 1 1.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.639 * [backup-simplify]: Simplify (+ 0 0) into 0 1.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.639 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.639 * [taylor]: Taking taylor expansion of im in im 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 1 into 1 1.640 * [backup-simplify]: Simplify (+ 0 1) into 1 1.640 * [backup-simplify]: Simplify (* 1 1) into 1 1.640 * [backup-simplify]: Simplify (* 1 1) into 1 1.640 * [backup-simplify]: Simplify (/ 1 1) into 1 1.640 * [taylor]: Taking taylor expansion of 1 in re 1.640 * [backup-simplify]: Simplify 1 into 1 1.640 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.641 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 1.641 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re) 1.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 1.641 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.641 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.641 * [taylor]: Taking taylor expansion of re in re 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify 1 into 1 1.642 * [backup-simplify]: Simplify (/ 1 1) into 1 1.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.643 * [backup-simplify]: Simplify (- 0) into 0 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.645 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 1.645 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 1.645 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 1.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 1.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 1.646 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 1.646 * [taylor]: Taking taylor expansion of 1/2 in re 1.646 * [backup-simplify]: Simplify 1/2 into 1/2 1.646 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.646 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.646 * [taylor]: Taking taylor expansion of re in re 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.647 * [backup-simplify]: Simplify (* 1 1) into 1 1.647 * [backup-simplify]: Simplify (/ 1 1) into 1 1.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.650 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.650 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.651 * [backup-simplify]: Simplify (- 0) into 0 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.651 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) 1.651 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in (im re) around 0 1.651 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in re 1.651 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 1.651 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.652 * [taylor]: Taking taylor expansion of 2.0 in re 1.652 * [backup-simplify]: Simplify 2.0 into 2.0 1.652 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.652 * [taylor]: Taking taylor expansion of im in re 1.652 * [backup-simplify]: Simplify im into im 1.652 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 1.652 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 1.652 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.652 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.652 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.652 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.652 * [taylor]: Taking taylor expansion of re in re 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify 1 into 1 1.652 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.652 * [taylor]: Taking taylor expansion of im in re 1.652 * [backup-simplify]: Simplify im into im 1.652 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.653 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.653 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.653 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.653 * [backup-simplify]: Simplify (+ 0 0) into 0 1.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.653 * [taylor]: Taking taylor expansion of re in re 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify 1 into 1 1.653 * [backup-simplify]: Simplify (- 0) into 0 1.653 * [backup-simplify]: Simplify (+ im 0) into im 1.653 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.653 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 1.654 * [backup-simplify]: Simplify (- 1) into -1 1.654 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2)) 1.654 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3)))) 1.654 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im 1.654 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.654 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.654 * [taylor]: Taking taylor expansion of 2.0 in im 1.654 * [backup-simplify]: Simplify 2.0 into 2.0 1.655 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.655 * [taylor]: Taking taylor expansion of im in im 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 1 into 1 1.655 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 1.655 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 1.655 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.655 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.655 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.655 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.655 * [taylor]: Taking taylor expansion of re in im 1.655 * [backup-simplify]: Simplify re into re 1.655 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.655 * [taylor]: Taking taylor expansion of im in im 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 1 into 1 1.655 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.655 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.655 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.656 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.656 * [backup-simplify]: Simplify (+ 0 0) into 0 1.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.656 * [taylor]: Taking taylor expansion of re in im 1.656 * [backup-simplify]: Simplify re into re 1.656 * [backup-simplify]: Simplify (- re) into (- re) 1.656 * [backup-simplify]: Simplify (+ re (- re)) into 0 1.656 * [backup-simplify]: Simplify (- 0) into 0 1.656 * [backup-simplify]: Simplify (+ 0 0) into 0 1.657 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.657 * [backup-simplify]: Simplify (* 1 1) into 1 1.657 * [backup-simplify]: Simplify (+ 0 1) into 1 1.658 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 1.658 * [backup-simplify]: Simplify (- 0) into 0 1.658 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 1.658 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 1.658 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 1.658 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 1.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.659 * [backup-simplify]: Simplify (+ 0 0) into 0 1.659 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 1.659 * [backup-simplify]: Simplify (- 0) into 0 1.660 * [backup-simplify]: Simplify (+ 0 0) into 0 1.660 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 1.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 1.660 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im 1.660 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.660 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.660 * [taylor]: Taking taylor expansion of 2.0 in im 1.660 * [backup-simplify]: Simplify 2.0 into 2.0 1.660 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.660 * [taylor]: Taking taylor expansion of im in im 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify 1 into 1 1.661 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 1.661 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 1.661 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.661 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.661 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.661 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.661 * [taylor]: Taking taylor expansion of re in im 1.661 * [backup-simplify]: Simplify re into re 1.661 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.661 * [taylor]: Taking taylor expansion of im in im 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify 1 into 1 1.661 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.661 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.661 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.661 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.661 * [backup-simplify]: Simplify (+ 0 0) into 0 1.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.661 * [taylor]: Taking taylor expansion of re in im 1.661 * [backup-simplify]: Simplify re into re 1.661 * [backup-simplify]: Simplify (- re) into (- re) 1.661 * [backup-simplify]: Simplify (+ re (- re)) into 0 1.662 * [backup-simplify]: Simplify (- 0) into 0 1.662 * [backup-simplify]: Simplify (+ 0 0) into 0 1.662 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.662 * [backup-simplify]: Simplify (* 1 1) into 1 1.663 * [backup-simplify]: Simplify (+ 0 1) into 1 1.663 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 1.664 * [backup-simplify]: Simplify (- 0) into 0 1.664 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 1.664 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 1.664 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 1.664 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 1.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.665 * [backup-simplify]: Simplify (+ 0 0) into 0 1.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 1.665 * [backup-simplify]: Simplify (- 0) into 0 1.665 * [backup-simplify]: Simplify (+ 0 0) into 0 1.665 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 1.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 1.666 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.666 * [backup-simplify]: Simplify (* 0 (* (sqrt re) (sqrt 2))) into 0 1.666 * [taylor]: Taking taylor expansion of 0 in re 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 1.668 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt re) (sqrt 2)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) 1.668 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 1.668 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 1.668 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.668 * [taylor]: Taking taylor expansion of 2.0 in re 1.668 * [backup-simplify]: Simplify 2.0 into 2.0 1.668 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.669 * [taylor]: Taking taylor expansion of (sqrt 2) in re 1.669 * [taylor]: Taking taylor expansion of 2 in re 1.669 * [backup-simplify]: Simplify 2 into 2 1.669 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.670 * [taylor]: Taking taylor expansion of (sqrt re) in re 1.670 * [taylor]: Taking taylor expansion of re in re 1.670 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify 1 into 1 1.670 * [backup-simplify]: Simplify (sqrt 0) into 0 1.671 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.671 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2)) 1.672 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 1.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.673 * [backup-simplify]: Simplify (+ 0 0) into 0 1.674 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 1.674 * [backup-simplify]: Simplify (- 0) into 0 1.674 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 1.675 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re)) 1.675 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt re) (sqrt 2)))) into (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2)))) 1.676 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.677 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 1.678 * [backup-simplify]: Simplify (+ (* 0 (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt re) (sqrt 2))))) into 0 1.678 * [taylor]: Taking taylor expansion of 0 in re 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0 1.681 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 1.682 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 1.682 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0 1.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.684 * [backup-simplify]: Simplify (+ 0 0) into 0 1.684 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0 1.685 * [backup-simplify]: Simplify (- 0) into 0 1.685 * [backup-simplify]: Simplify (+ 0 0) into 0 1.685 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0 1.686 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2)))))))) (* 2 (* (sqrt re) (sqrt 2)))) into 0 1.687 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.688 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.689 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))) (+ (* 0 0) (* 0 (* (sqrt re) (sqrt 2)))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 1.689 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 1.689 * [taylor]: Taking taylor expansion of 1/4 in re 1.689 * [backup-simplify]: Simplify 1/4 into 1/4 1.689 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 1.689 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 1.689 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.689 * [taylor]: Taking taylor expansion of 2.0 in re 1.689 * [backup-simplify]: Simplify 2.0 into 2.0 1.690 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.690 * [taylor]: Taking taylor expansion of (sqrt 2) in re 1.690 * [taylor]: Taking taylor expansion of 2 in re 1.690 * [backup-simplify]: Simplify 2 into 2 1.690 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.692 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2)) 1.692 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 1.692 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 1.692 * [taylor]: Taking taylor expansion of (pow re 3) in re 1.692 * [taylor]: Taking taylor expansion of re in re 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 1 into 1 1.692 * [backup-simplify]: Simplify (* 1 1) into 1 1.692 * [backup-simplify]: Simplify (* 1 1) into 1 1.692 * [backup-simplify]: Simplify (/ 1 1) into 1 1.692 * [backup-simplify]: Simplify (sqrt 0) into 0 1.693 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.696 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.697 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1.697 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.698 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.699 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1.701 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 1.703 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 1.704 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0 1.708 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 1.710 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 1.710 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.712 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.713 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.714 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 1.716 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 1.718 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 1.730 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (pow (* re 1) 2)) (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) (pow (* 1 im) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (* re 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) 1.731 * [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))))) 1.731 * [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 1.731 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 1.731 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.731 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.731 * [taylor]: Taking taylor expansion of 2.0 in re 1.731 * [backup-simplify]: Simplify 2.0 into 2.0 1.731 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.731 * [taylor]: Taking taylor expansion of im in re 1.732 * [backup-simplify]: Simplify im into im 1.732 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 1.732 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 1.732 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 1.732 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.732 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.732 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.732 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.732 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.732 * [taylor]: Taking taylor expansion of im in re 1.732 * [backup-simplify]: Simplify im into im 1.732 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.732 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.732 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.732 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.732 * [taylor]: Taking taylor expansion of re in re 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify 1 into 1 1.732 * [backup-simplify]: Simplify (* 1 1) into 1 1.733 * [backup-simplify]: Simplify (/ 1 1) into 1 1.733 * [backup-simplify]: Simplify (+ 0 1) into 1 1.733 * [backup-simplify]: Simplify (sqrt 1) into 1 1.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.734 * [backup-simplify]: Simplify (+ 0 0) into 0 1.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.735 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.735 * [taylor]: Taking taylor expansion of re in re 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify 1 into 1 1.735 * [backup-simplify]: Simplify (/ 1 1) into 1 1.735 * [backup-simplify]: Simplify (- 1) into -1 1.735 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.736 * [backup-simplify]: Simplify (- 0) into 0 1.736 * [backup-simplify]: Simplify (+ 0 0) into 0 1.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.737 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.738 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.741 * [backup-simplify]: Simplify (- 0) into 0 1.741 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.741 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 1.741 * [backup-simplify]: Simplify (sqrt 0) into 0 1.742 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 1.742 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 1.742 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.742 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.742 * [taylor]: Taking taylor expansion of 2.0 in im 1.742 * [backup-simplify]: Simplify 2.0 into 2.0 1.742 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.742 * [taylor]: Taking taylor expansion of im in im 1.742 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify 1 into 1 1.743 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.743 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.743 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.743 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.743 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.743 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.743 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.743 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.743 * [taylor]: Taking taylor expansion of im in im 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify 1 into 1 1.743 * [backup-simplify]: Simplify (* 1 1) into 1 1.744 * [backup-simplify]: Simplify (/ 1 1) into 1 1.744 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.744 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.744 * [taylor]: Taking taylor expansion of re in im 1.744 * [backup-simplify]: Simplify re into re 1.744 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.744 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.744 * [backup-simplify]: Simplify (+ 1 0) into 1 1.744 * [backup-simplify]: Simplify (sqrt 1) into 1 1.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.745 * [backup-simplify]: Simplify (+ 0 0) into 0 1.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.746 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.746 * [taylor]: Taking taylor expansion of re in im 1.746 * [backup-simplify]: Simplify re into re 1.746 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.746 * [backup-simplify]: Simplify (+ 1 0) into 1 1.746 * [backup-simplify]: Simplify (/ 1 1) into 1 1.746 * [backup-simplify]: Simplify (sqrt 0) into 0 1.747 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.747 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 1.747 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.747 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.747 * [taylor]: Taking taylor expansion of 2.0 in im 1.747 * [backup-simplify]: Simplify 2.0 into 2.0 1.748 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.748 * [taylor]: Taking taylor expansion of im in im 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 1 into 1 1.749 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.749 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.749 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.749 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.749 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.749 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.749 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.749 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.749 * [taylor]: Taking taylor expansion of im in im 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 1 into 1 1.749 * [backup-simplify]: Simplify (* 1 1) into 1 1.749 * [backup-simplify]: Simplify (/ 1 1) into 1 1.749 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.749 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.749 * [taylor]: Taking taylor expansion of re in im 1.749 * [backup-simplify]: Simplify re into re 1.749 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.749 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.750 * [backup-simplify]: Simplify (+ 1 0) into 1 1.750 * [backup-simplify]: Simplify (sqrt 1) into 1 1.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.751 * [backup-simplify]: Simplify (+ 0 0) into 0 1.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.751 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.751 * [taylor]: Taking taylor expansion of re in im 1.751 * [backup-simplify]: Simplify re into re 1.751 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.752 * [backup-simplify]: Simplify (+ 1 0) into 1 1.752 * [backup-simplify]: Simplify (/ 1 1) into 1 1.752 * [backup-simplify]: Simplify (sqrt 0) into 0 1.753 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.753 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.753 * [taylor]: Taking taylor expansion of 0 in re 1.753 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.755 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.755 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 1.755 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.755 * [taylor]: Taking taylor expansion of +nan.0 in re 1.755 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.755 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.755 * [taylor]: Taking taylor expansion of 2.0 in re 1.755 * [backup-simplify]: Simplify 2.0 into 2.0 1.755 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 1.756 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 1.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 1.757 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 1.757 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.759 * [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))))) 1.759 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.759 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.759 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.759 * [taylor]: Taking taylor expansion of +nan.0 in re 1.759 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.759 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.759 * [taylor]: Taking taylor expansion of 2.0 in re 1.759 * [backup-simplify]: Simplify 2.0 into 2.0 1.759 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.760 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.760 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.760 * [taylor]: Taking taylor expansion of +nan.0 in re 1.760 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.760 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.760 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.760 * [taylor]: Taking taylor expansion of 2.0 in re 1.760 * [backup-simplify]: Simplify 2.0 into 2.0 1.760 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.760 * [taylor]: Taking taylor expansion of re in re 1.760 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify 1 into 1 1.761 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.761 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.762 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.764 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.765 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.766 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.767 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.768 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.768 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.768 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.770 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 1.770 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 1.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.771 * [backup-simplify]: Simplify (- 0) into 0 1.771 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 1.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 1.772 * [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)))) 1.772 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.774 * [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))))))) 1.774 * [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 1.774 * [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 1.774 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.774 * [taylor]: Taking taylor expansion of +nan.0 in re 1.774 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.774 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.774 * [taylor]: Taking taylor expansion of 2.0 in re 1.774 * [backup-simplify]: Simplify 2.0 into 2.0 1.774 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.775 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.775 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.775 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.775 * [taylor]: Taking taylor expansion of +nan.0 in re 1.775 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.775 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.775 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.775 * [taylor]: Taking taylor expansion of 2.0 in re 1.775 * [backup-simplify]: Simplify 2.0 into 2.0 1.775 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.776 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.776 * [taylor]: Taking taylor expansion of re in re 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify 1 into 1 1.776 * [backup-simplify]: Simplify (* 1 1) into 1 1.776 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.777 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.777 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.777 * [taylor]: Taking taylor expansion of +nan.0 in re 1.777 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.777 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.777 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.777 * [taylor]: Taking taylor expansion of 2.0 in re 1.777 * [backup-simplify]: Simplify 2.0 into 2.0 1.777 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.777 * [taylor]: Taking taylor expansion of re in re 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 1 into 1 1.778 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.779 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.780 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.781 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.782 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.783 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.784 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.786 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.787 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.789 * [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)))))))) 1.790 * [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)))))))) 1.790 * [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 1.790 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 1.790 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.790 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.790 * [taylor]: Taking taylor expansion of 2.0 in re 1.790 * [backup-simplify]: Simplify 2.0 into 2.0 1.790 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.791 * [taylor]: Taking taylor expansion of im in re 1.791 * [backup-simplify]: Simplify im into im 1.791 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 1.791 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 1.791 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.791 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.791 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.791 * [taylor]: Taking taylor expansion of re in re 1.791 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 1 into 1 1.791 * [backup-simplify]: Simplify (/ 1 1) into 1 1.791 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.791 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.791 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.791 * [taylor]: Taking taylor expansion of im in re 1.791 * [backup-simplify]: Simplify im into im 1.792 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.792 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.792 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.792 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.792 * [taylor]: Taking taylor expansion of re in re 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 1 into 1 1.792 * [backup-simplify]: Simplify (* 1 1) into 1 1.792 * [backup-simplify]: Simplify (/ 1 1) into 1 1.792 * [backup-simplify]: Simplify (+ 0 1) into 1 1.793 * [backup-simplify]: Simplify (sqrt 1) into 1 1.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.794 * [backup-simplify]: Simplify (+ 0 0) into 0 1.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.794 * [backup-simplify]: Simplify (+ 1 1) into 2 1.794 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.795 * [backup-simplify]: Simplify (sqrt 0) into 0 1.796 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 1.796 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 1.796 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.796 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.796 * [taylor]: Taking taylor expansion of 2.0 in im 1.796 * [backup-simplify]: Simplify 2.0 into 2.0 1.796 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.796 * [taylor]: Taking taylor expansion of im in im 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 1 into 1 1.797 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.797 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.797 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.797 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.797 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.797 * [taylor]: Taking taylor expansion of re in im 1.797 * [backup-simplify]: Simplify re into re 1.797 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.797 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.797 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.797 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.797 * [taylor]: Taking taylor expansion of im in im 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 1 into 1 1.797 * [backup-simplify]: Simplify (* 1 1) into 1 1.798 * [backup-simplify]: Simplify (/ 1 1) into 1 1.798 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.798 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.798 * [taylor]: Taking taylor expansion of re in im 1.798 * [backup-simplify]: Simplify re into re 1.798 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.798 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.798 * [backup-simplify]: Simplify (+ 1 0) into 1 1.798 * [backup-simplify]: Simplify (sqrt 1) into 1 1.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.799 * [backup-simplify]: Simplify (+ 0 0) into 0 1.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.800 * [backup-simplify]: Simplify (+ 0 1) into 1 1.800 * [backup-simplify]: Simplify (/ 1 1) into 1 1.800 * [backup-simplify]: Simplify (sqrt 0) into 0 1.801 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.801 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 1.801 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.801 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.801 * [taylor]: Taking taylor expansion of 2.0 in im 1.801 * [backup-simplify]: Simplify 2.0 into 2.0 1.801 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.802 * [taylor]: Taking taylor expansion of im in im 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify 1 into 1 1.802 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.802 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.803 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.803 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.803 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.803 * [taylor]: Taking taylor expansion of re in im 1.803 * [backup-simplify]: Simplify re into re 1.803 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.803 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.803 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.803 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.803 * [taylor]: Taking taylor expansion of im in im 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify 1 into 1 1.803 * [backup-simplify]: Simplify (* 1 1) into 1 1.803 * [backup-simplify]: Simplify (/ 1 1) into 1 1.803 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.803 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.803 * [taylor]: Taking taylor expansion of re in im 1.803 * [backup-simplify]: Simplify re into re 1.803 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.803 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.804 * [backup-simplify]: Simplify (+ 1 0) into 1 1.804 * [backup-simplify]: Simplify (sqrt 1) into 1 1.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.805 * [backup-simplify]: Simplify (+ 0 0) into 0 1.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.806 * [backup-simplify]: Simplify (+ 0 1) into 1 1.806 * [backup-simplify]: Simplify (/ 1 1) into 1 1.806 * [backup-simplify]: Simplify (sqrt 0) into 0 1.807 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.807 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.807 * [taylor]: Taking taylor expansion of 0 in re 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.809 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.809 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 1.809 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.809 * [taylor]: Taking taylor expansion of +nan.0 in re 1.809 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.809 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.809 * [taylor]: Taking taylor expansion of 2.0 in re 1.809 * [backup-simplify]: Simplify 2.0 into 2.0 1.809 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.810 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.811 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.812 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 1.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 1.813 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 1.813 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.815 * [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))))) 1.815 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.815 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.815 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.815 * [taylor]: Taking taylor expansion of +nan.0 in re 1.815 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.815 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.815 * [taylor]: Taking taylor expansion of 2.0 in re 1.815 * [backup-simplify]: Simplify 2.0 into 2.0 1.816 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.816 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.816 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.816 * [taylor]: Taking taylor expansion of +nan.0 in re 1.816 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.816 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.816 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.816 * [taylor]: Taking taylor expansion of 2.0 in re 1.816 * [backup-simplify]: Simplify 2.0 into 2.0 1.816 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.817 * [taylor]: Taking taylor expansion of re in re 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify 1 into 1 1.817 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.818 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.819 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.819 * [backup-simplify]: Simplify (- 0) into 0 1.820 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 1.821 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.822 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.830 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.831 * [backup-simplify]: Simplify (- 0) into 0 1.831 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.832 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 1.833 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 1.833 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 1.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 1.834 * [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)))) 1.835 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.837 * [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))))))) 1.837 * [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 1.837 * [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 1.837 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.837 * [taylor]: Taking taylor expansion of +nan.0 in re 1.837 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.837 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.837 * [taylor]: Taking taylor expansion of 2.0 in re 1.837 * [backup-simplify]: Simplify 2.0 into 2.0 1.837 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.838 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.838 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.838 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.838 * [taylor]: Taking taylor expansion of +nan.0 in re 1.838 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.838 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.838 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.838 * [taylor]: Taking taylor expansion of 2.0 in re 1.838 * [backup-simplify]: Simplify 2.0 into 2.0 1.838 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.839 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.839 * [taylor]: Taking taylor expansion of re in re 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 1 into 1 1.839 * [backup-simplify]: Simplify (* 1 1) into 1 1.839 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.839 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.839 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.839 * [taylor]: Taking taylor expansion of +nan.0 in re 1.839 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.839 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.839 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.840 * [taylor]: Taking taylor expansion of 2.0 in re 1.840 * [backup-simplify]: Simplify 2.0 into 2.0 1.840 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.840 * [taylor]: Taking taylor expansion of re in re 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify 1 into 1 1.841 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.841 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.842 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.844 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 1.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.845 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.846 * [backup-simplify]: Simplify (- 0) into 0 1.846 * [backup-simplify]: Simplify (+ 0 0) into 0 1.846 * [backup-simplify]: Simplify (- 0) into 0 1.847 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 1.848 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.849 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.852 * [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))))))) 1.852 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 1.852 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 1.852 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 1.852 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.852 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.852 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.852 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.852 * [taylor]: Taking taylor expansion of re in im 1.852 * [backup-simplify]: Simplify re into re 1.852 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.852 * [taylor]: Taking taylor expansion of im in im 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify 1 into 1 1.852 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.853 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.853 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.853 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.853 * [backup-simplify]: Simplify (+ 0 0) into 0 1.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.853 * [taylor]: Taking taylor expansion of re in im 1.853 * [backup-simplify]: Simplify re into re 1.853 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.853 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.853 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.853 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.853 * [taylor]: Taking taylor expansion of re in re 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 1 into 1 1.853 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.853 * [taylor]: Taking taylor expansion of im in re 1.853 * [backup-simplify]: Simplify im into im 1.853 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.853 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.853 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.853 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.854 * [backup-simplify]: Simplify (+ 0 0) into 0 1.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.854 * [taylor]: Taking taylor expansion of re in re 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 1 into 1 1.854 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.854 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.854 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.854 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.854 * [taylor]: Taking taylor expansion of re in re 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 1 into 1 1.854 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.854 * [taylor]: Taking taylor expansion of im in re 1.854 * [backup-simplify]: Simplify im into im 1.854 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.854 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.854 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.854 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.855 * [backup-simplify]: Simplify (+ 0 0) into 0 1.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.855 * [taylor]: Taking taylor expansion of re in re 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 1 into 1 1.855 * [backup-simplify]: Simplify (- 0) into 0 1.855 * [backup-simplify]: Simplify (+ im 0) into im 1.855 * [taylor]: Taking taylor expansion of im in im 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 1 into 1 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify (- 1) into -1 1.856 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.856 * [taylor]: Taking taylor expansion of -1 in im 1.856 * [backup-simplify]: Simplify -1 into -1 1.856 * [backup-simplify]: Simplify -1 into -1 1.856 * [backup-simplify]: Simplify 1 into 1 1.856 * [backup-simplify]: Simplify (* 1 1) into 1 1.856 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.856 * [backup-simplify]: Simplify (+ 1 0) into 1 1.857 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.857 * [backup-simplify]: Simplify (- 0) into 0 1.857 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 1.857 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.857 * [taylor]: Taking taylor expansion of 1/2 in im 1.857 * [backup-simplify]: Simplify 1/2 into 1/2 1.857 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.857 * [taylor]: Taking taylor expansion of im in im 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 1 into 1 1.857 * [backup-simplify]: Simplify (/ 1 1) into 1 1.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.859 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.859 * [backup-simplify]: Simplify (+ 0 0) into 0 1.859 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.860 * [backup-simplify]: Simplify (- 0) into 0 1.860 * [backup-simplify]: Simplify (+ 0 0) into 0 1.860 * [taylor]: Taking taylor expansion of 0 in im 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.861 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 1.861 * [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)) 1.861 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.861 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.861 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.861 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.861 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.861 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.861 * [taylor]: Taking taylor expansion of im in im 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 1 into 1 1.862 * [backup-simplify]: Simplify (* 1 1) into 1 1.862 * [backup-simplify]: Simplify (/ 1 1) into 1 1.862 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.862 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.862 * [taylor]: Taking taylor expansion of re in im 1.862 * [backup-simplify]: Simplify re into re 1.862 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.862 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.862 * [backup-simplify]: Simplify (+ 1 0) into 1 1.863 * [backup-simplify]: Simplify (sqrt 1) into 1 1.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.864 * [backup-simplify]: Simplify (+ 0 0) into 0 1.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.864 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.864 * [taylor]: Taking taylor expansion of re in im 1.864 * [backup-simplify]: Simplify re into re 1.864 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.864 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.864 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.864 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.864 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.864 * [taylor]: Taking taylor expansion of im in re 1.864 * [backup-simplify]: Simplify im into im 1.864 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.865 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.865 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.865 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.865 * [taylor]: Taking taylor expansion of re in re 1.865 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify 1 into 1 1.865 * [backup-simplify]: Simplify (* 1 1) into 1 1.865 * [backup-simplify]: Simplify (/ 1 1) into 1 1.865 * [backup-simplify]: Simplify (+ 0 1) into 1 1.866 * [backup-simplify]: Simplify (sqrt 1) into 1 1.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.867 * [backup-simplify]: Simplify (+ 0 0) into 0 1.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.867 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.867 * [taylor]: Taking taylor expansion of re in re 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 1 into 1 1.867 * [backup-simplify]: Simplify (/ 1 1) into 1 1.867 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.867 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.867 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.867 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.867 * [taylor]: Taking taylor expansion of im in re 1.867 * [backup-simplify]: Simplify im into im 1.868 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.868 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.868 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.868 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.868 * [taylor]: Taking taylor expansion of re in re 1.868 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify 1 into 1 1.868 * [backup-simplify]: Simplify (* 1 1) into 1 1.868 * [backup-simplify]: Simplify (/ 1 1) into 1 1.868 * [backup-simplify]: Simplify (+ 0 1) into 1 1.869 * [backup-simplify]: Simplify (sqrt 1) into 1 1.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.870 * [backup-simplify]: Simplify (+ 0 0) into 0 1.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.870 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.870 * [taylor]: Taking taylor expansion of re in re 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify 1 into 1 1.870 * [backup-simplify]: Simplify (/ 1 1) into 1 1.871 * [backup-simplify]: Simplify (- 1) into -1 1.871 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.871 * [taylor]: Taking taylor expansion of 0 in im 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.871 * [backup-simplify]: Simplify (- 0) into 0 1.872 * [backup-simplify]: Simplify (+ 0 0) into 0 1.872 * [taylor]: Taking taylor expansion of 0 in im 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.873 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.874 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.874 * [backup-simplify]: Simplify (- 0) into 0 1.874 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.875 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.875 * [taylor]: Taking taylor expansion of 1/2 in im 1.875 * [backup-simplify]: Simplify 1/2 into 1/2 1.875 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.875 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.875 * [taylor]: Taking taylor expansion of im in im 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 1 into 1 1.875 * [backup-simplify]: Simplify (* 1 1) into 1 1.875 * [backup-simplify]: Simplify (/ 1 1) into 1 1.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.878 * [backup-simplify]: Simplify (+ 0 0) into 0 1.878 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.879 * [backup-simplify]: Simplify (- 0) into 0 1.879 * [backup-simplify]: Simplify (+ 0 0) into 0 1.879 * [taylor]: Taking taylor expansion of 0 in im 1.879 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [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))))) 1.881 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.881 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.881 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.881 * [taylor]: Taking taylor expansion of re in im 1.881 * [backup-simplify]: Simplify re into re 1.881 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.881 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.881 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.881 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.881 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.881 * [taylor]: Taking taylor expansion of im in im 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 1 into 1 1.881 * [backup-simplify]: Simplify (* 1 1) into 1 1.882 * [backup-simplify]: Simplify (/ 1 1) into 1 1.882 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.882 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.882 * [taylor]: Taking taylor expansion of re in im 1.882 * [backup-simplify]: Simplify re into re 1.882 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.882 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.882 * [backup-simplify]: Simplify (+ 1 0) into 1 1.882 * [backup-simplify]: Simplify (sqrt 1) into 1 1.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.883 * [backup-simplify]: Simplify (+ 0 0) into 0 1.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.884 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.884 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.884 * [taylor]: Taking taylor expansion of re in re 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.884 * [backup-simplify]: Simplify (/ 1 1) into 1 1.884 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.884 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.884 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.884 * [taylor]: Taking taylor expansion of im in re 1.884 * [backup-simplify]: Simplify im into im 1.884 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.884 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.884 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.884 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.884 * [taylor]: Taking taylor expansion of re in re 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.885 * [backup-simplify]: Simplify (* 1 1) into 1 1.885 * [backup-simplify]: Simplify (/ 1 1) into 1 1.885 * [backup-simplify]: Simplify (+ 0 1) into 1 1.885 * [backup-simplify]: Simplify (sqrt 1) into 1 1.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.886 * [backup-simplify]: Simplify (+ 0 0) into 0 1.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.887 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.887 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.887 * [taylor]: Taking taylor expansion of re in re 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 1 into 1 1.887 * [backup-simplify]: Simplify (/ 1 1) into 1 1.887 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.887 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.887 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.887 * [taylor]: Taking taylor expansion of im in re 1.887 * [backup-simplify]: Simplify im into im 1.887 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.887 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.887 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.887 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.887 * [taylor]: Taking taylor expansion of re in re 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 1 into 1 1.888 * [backup-simplify]: Simplify (* 1 1) into 1 1.888 * [backup-simplify]: Simplify (/ 1 1) into 1 1.888 * [backup-simplify]: Simplify (+ 0 1) into 1 1.888 * [backup-simplify]: Simplify (sqrt 1) into 1 1.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.889 * [backup-simplify]: Simplify (+ 0 0) into 0 1.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.890 * [backup-simplify]: Simplify (+ 1 1) into 2 1.890 * [taylor]: Taking taylor expansion of 2 in im 1.890 * [backup-simplify]: Simplify 2 into 2 1.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.891 * [backup-simplify]: Simplify (+ 0 0) into 0 1.891 * [taylor]: Taking taylor expansion of 0 in im 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify 2 into 2 1.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.892 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.893 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.893 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.893 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.893 * [taylor]: Taking taylor expansion of 1/2 in im 1.893 * [backup-simplify]: Simplify 1/2 into 1/2 1.893 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.893 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.893 * [taylor]: Taking taylor expansion of im in im 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify 1 into 1 1.894 * [backup-simplify]: Simplify (* 1 1) into 1 1.894 * [backup-simplify]: Simplify (/ 1 1) into 1 1.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.895 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.896 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.897 * [backup-simplify]: Simplify (+ 0 0) into 0 1.898 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.898 * [backup-simplify]: Simplify (+ 0 0) into 0 1.898 * [taylor]: Taking taylor expansion of 0 in im 1.898 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 1.899 * * * [progress]: simplifying candidates 1.901 * [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 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ im (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ im (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ im (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 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) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (* im im) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (* 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))) (- 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) (* 2 re) (+ re im) 0 (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- im re) 0 (* -2 re) 1.901 * [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 (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1))) (/ h0 (- (sqrt (sqrt (+ (* 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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))) (- 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) (* 2 h1) (+ h1 h0) 0 (- (+ (* h3 (/ (* (sqrt h2) (pow h0 2)) (sqrt 2))) (- (+ (* h3 (* (sqrt h2) (* (sqrt 2) h1))) (- (* h3 (* (sqrt h2) (* (sqrt 2) (pow h1 2))))))))) (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (* (sqrt h2) h1) h0)) (- (* h3 (/ (* (sqrt h2) h1) (pow h0 2)))))))) (- (+ (* h3 (/ (sqrt h2) (pow h0 2))) (- (+ (* h3 (/ (sqrt h2) h0)) (- (* h3 (sqrt h2))))))) (- h0 h1) 0 (* -2 h1) 1.906 * * [simplify]: iteration 0 : 369 enodes (cost 696 ) 1.913 * * [simplify]: iteration 1 : 1474 enodes (cost 620 ) 1.937 * * [simplify]: iteration 2 : 5001 enodes (cost 611 ) 1.941 * * * [progress]: adding candidates to table 2.148 * [progress]: [Phase 3 of 3] Extracting. 2.148 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 2.150 * * * [regime-changes]: Trying 4 branch expressions: ((* im im) (+ (sqrt (+ (* re re) (* im im))) re) im re) 2.150 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # # #) 2.195 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # #) 2.230 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # # # # #) 2.279 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # # #) 2.339 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # # #) 2.404 * * * [regime]: Found split indices: #