33.247 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.036 * * * [progress]: [2/2] Setting up program. 0.039 * [progress]: [Phase 2 of 3] Improving. 0.039 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.040 * * [simplify]: Extracting # 0 : cost 0 0.040 * * [simplify]: Extracting # 1 : cost 0 0.040 * * [simplify]: Extracting # 2 : cost 0 0.040 * * [simplify]: Extracting # 3 : cost 0 0.040 * * [simplify]: Extracting # 4 : cost 0 0.040 * * [simplify]: Extracting # 5 : cost 0 0.040 * * [simplify]: Extracting # 6 : cost 0 0.040 * * [simplify]: Extracting # 7 : cost 0 0.040 * * [simplify]: Extracting # 8 : cost 0 0.040 * * [simplify]: iteration 0 : 12 enodes (cost 15 ) 0.042 * * [simplify]: Extracting # 0 : cost 0 0.042 * * [simplify]: Extracting # 1 : cost 0 0.042 * * [simplify]: Extracting # 2 : cost 0 0.042 * * [simplify]: iteration 1 : 24 enodes (cost 10 ) 0.046 * * [simplify]: Extracting # 0 : cost 0 0.046 * * [simplify]: iteration 2 : 30 enodes (cost 10 ) 0.050 * * [simplify]: Extracting # 0 : cost 0 0.050 * * [simplify]: iteration 3 : 32 enodes (cost 10 ) 0.054 * * [simplify]: Extracting # 0 : cost 0 0.055 * * [simplify]: iteration done: 32 enodes (cost 10 ) 0.055 * [simplify]: Simplified to: (* 0.5 (sqrt (* (+ re (hypot re im)) 2.0))) 0.058 * * [progress]: iteration 1 / 4 0.058 * * * [progress]: picking best candidate 0.062 * * * * [pick]: Picked # 0.062 * * * [progress]: localizing error 0.071 * * * [progress]: generating rewritten candidates 0.071 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.077 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.087 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 2) 0.089 * * * [progress]: generating series expansions 0.089 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.089 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ re (hypot re im)) 0.089 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.090 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.090 * [taylor]: Taking taylor expansion of re in im 0.090 * [backup-simplify]: Simplify re into re 0.090 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.090 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.090 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.090 * [taylor]: Taking taylor expansion of (* re re) in im 0.090 * [taylor]: Taking taylor expansion of re in im 0.090 * [backup-simplify]: Simplify re into re 0.090 * [taylor]: Taking taylor expansion of re in im 0.090 * [backup-simplify]: Simplify re into re 0.090 * [taylor]: Taking taylor expansion of (* im im) in im 0.090 * [taylor]: Taking taylor expansion of im in im 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [taylor]: Taking taylor expansion of im in im 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.091 * [backup-simplify]: Simplify (* 0 0) into 0 0.091 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.091 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.091 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.092 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.093 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.093 * [taylor]: Taking taylor expansion of re in re 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.093 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.093 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.093 * [taylor]: Taking taylor expansion of (* re re) in re 0.093 * [taylor]: Taking taylor expansion of re in re 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [taylor]: Taking taylor expansion of re in re 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [taylor]: Taking taylor expansion of (* im im) in re 0.093 * [taylor]: Taking taylor expansion of im in re 0.093 * [backup-simplify]: Simplify im into im 0.093 * [taylor]: Taking taylor expansion of im in re 0.093 * [backup-simplify]: Simplify im into im 0.094 * [backup-simplify]: Simplify (* 0 0) into 0 0.094 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.094 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.094 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.095 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.095 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.096 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.096 * [taylor]: Taking taylor expansion of re in re 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.096 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.096 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.096 * [taylor]: Taking taylor expansion of (* re re) in re 0.096 * [taylor]: Taking taylor expansion of re in re 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [taylor]: Taking taylor expansion of re in re 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [taylor]: Taking taylor expansion of (* im im) in re 0.096 * [taylor]: Taking taylor expansion of im in re 0.096 * [backup-simplify]: Simplify im into im 0.096 * [taylor]: Taking taylor expansion of im in re 0.096 * [backup-simplify]: Simplify im into im 0.113 * [backup-simplify]: Simplify (* 0 0) into 0 0.114 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.114 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.114 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.115 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.115 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.116 * [backup-simplify]: Simplify (+ 0 im) into im 0.116 * [taylor]: Taking taylor expansion of im in im 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (+ 1 0) into 1 0.116 * [taylor]: Taking taylor expansion of 1 in im 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.118 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.118 * [backup-simplify]: Simplify (+ 1 0) into 1 0.119 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.119 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.119 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.119 * [taylor]: Taking taylor expansion of 1/2 in im 0.119 * [backup-simplify]: Simplify 1/2 into 1/2 0.119 * [taylor]: Taking taylor expansion of (/ 1 im) 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 0.120 * [backup-simplify]: Simplify (/ 1 1) into 1 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.123 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [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 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.128 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 0.128 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.128 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.128 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.128 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.128 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.129 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.129 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.129 * [taylor]: Taking taylor expansion of re in im 0.129 * [backup-simplify]: Simplify re into re 0.129 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.129 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.129 * [taylor]: Taking taylor expansion of re in im 0.129 * [backup-simplify]: Simplify re into re 0.129 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.129 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.129 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.129 * [taylor]: Taking taylor expansion of im in im 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (/ 1 1) into 1 0.129 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.129 * [taylor]: Taking taylor expansion of im in im 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.131 * [backup-simplify]: Simplify (+ 0 1) into 1 0.131 * [backup-simplify]: Simplify (sqrt 1) into 1 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.135 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.135 * [taylor]: Taking taylor expansion of re in im 0.135 * [backup-simplify]: Simplify re into re 0.135 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.135 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.135 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.135 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.135 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.135 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.135 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.135 * [taylor]: Taking taylor expansion of re in re 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.136 * [taylor]: Taking taylor expansion of re in re 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.136 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.136 * [taylor]: Taking taylor expansion of im in re 0.136 * [backup-simplify]: Simplify im into im 0.136 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.136 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.137 * [taylor]: Taking taylor expansion of im in re 0.137 * [backup-simplify]: Simplify im into im 0.137 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.137 * [backup-simplify]: Simplify (* 1 1) into 1 0.137 * [backup-simplify]: Simplify (+ 1 0) into 1 0.138 * [backup-simplify]: Simplify (sqrt 1) into 1 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.141 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.141 * [taylor]: Taking taylor expansion of re in re 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.142 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.142 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.142 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.142 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.142 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.142 * [taylor]: Taking taylor expansion of re in re 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (/ 1 1) into 1 0.143 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.143 * [taylor]: Taking taylor expansion of re in re 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (/ 1 1) into 1 0.143 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.143 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.143 * [taylor]: Taking taylor expansion of im in re 0.143 * [backup-simplify]: Simplify im into im 0.143 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.143 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.143 * [taylor]: Taking taylor expansion of im in re 0.143 * [backup-simplify]: Simplify im into im 0.143 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.144 * [backup-simplify]: Simplify (* 1 1) into 1 0.144 * [backup-simplify]: Simplify (+ 1 0) into 1 0.145 * [backup-simplify]: Simplify (sqrt 1) into 1 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.148 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.148 * [taylor]: Taking taylor expansion of re in re 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [backup-simplify]: Simplify (+ 1 1) into 2 0.149 * [taylor]: Taking taylor expansion of 2 in im 0.149 * [backup-simplify]: Simplify 2 into 2 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [taylor]: Taking taylor expansion of 0 in im 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 2 into 2 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.153 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.154 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.155 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.156 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.156 * [taylor]: Taking taylor expansion of 1/2 in im 0.156 * [backup-simplify]: Simplify 1/2 into 1/2 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.156 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.156 * [taylor]: Taking taylor expansion of im in im 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (* 1 1) into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.162 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [taylor]: Taking taylor expansion of 0 in im 0.165 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.168 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 0.168 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.169 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.169 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.169 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.169 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.169 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.169 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.169 * [taylor]: Taking taylor expansion of -1 in im 0.169 * [backup-simplify]: Simplify -1 into -1 0.169 * [taylor]: Taking taylor expansion of re in im 0.169 * [backup-simplify]: Simplify re into re 0.169 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.169 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.169 * [taylor]: Taking taylor expansion of -1 in im 0.169 * [backup-simplify]: Simplify -1 into -1 0.169 * [taylor]: Taking taylor expansion of re in im 0.169 * [backup-simplify]: Simplify re into re 0.169 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.169 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.169 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.169 * [taylor]: Taking taylor expansion of -1 in im 0.169 * [backup-simplify]: Simplify -1 into -1 0.169 * [taylor]: Taking taylor expansion of im in im 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (/ -1 1) into -1 0.170 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.170 * [taylor]: Taking taylor expansion of -1 in im 0.170 * [backup-simplify]: Simplify -1 into -1 0.170 * [taylor]: Taking taylor expansion of im in im 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (/ -1 1) into -1 0.171 * [backup-simplify]: Simplify (* -1 -1) into 1 0.171 * [backup-simplify]: Simplify (+ 0 1) into 1 0.172 * [backup-simplify]: Simplify (sqrt 1) into 1 0.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.176 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.176 * [taylor]: Taking taylor expansion of re in im 0.176 * [backup-simplify]: Simplify re into re 0.176 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.176 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.176 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.176 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.176 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.176 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.176 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.176 * [taylor]: Taking taylor expansion of -1 in re 0.176 * [backup-simplify]: Simplify -1 into -1 0.176 * [taylor]: Taking taylor expansion of re in re 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (/ -1 1) into -1 0.177 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.177 * [taylor]: Taking taylor expansion of -1 in re 0.177 * [backup-simplify]: Simplify -1 into -1 0.177 * [taylor]: Taking taylor expansion of re in re 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (/ -1 1) into -1 0.177 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.178 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.178 * [taylor]: Taking taylor expansion of -1 in re 0.178 * [backup-simplify]: Simplify -1 into -1 0.178 * [taylor]: Taking taylor expansion of im in re 0.178 * [backup-simplify]: Simplify im into im 0.178 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.178 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.178 * [taylor]: Taking taylor expansion of -1 in re 0.178 * [backup-simplify]: Simplify -1 into -1 0.178 * [taylor]: Taking taylor expansion of im in re 0.178 * [backup-simplify]: Simplify im into im 0.178 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.178 * [backup-simplify]: Simplify (* -1 -1) into 1 0.179 * [backup-simplify]: Simplify (+ 1 0) into 1 0.179 * [backup-simplify]: Simplify (sqrt 1) into 1 0.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.183 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.183 * [taylor]: Taking taylor expansion of re in re 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (/ 1 1) into 1 0.184 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.184 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.184 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.184 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.184 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.184 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.184 * [taylor]: Taking taylor expansion of -1 in re 0.184 * [backup-simplify]: Simplify -1 into -1 0.185 * [taylor]: Taking taylor expansion of re in re 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (/ -1 1) into -1 0.185 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.185 * [taylor]: Taking taylor expansion of -1 in re 0.185 * [backup-simplify]: Simplify -1 into -1 0.185 * [taylor]: Taking taylor expansion of re in re 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (/ -1 1) into -1 0.186 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.186 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.186 * [taylor]: Taking taylor expansion of -1 in re 0.186 * [backup-simplify]: Simplify -1 into -1 0.186 * [taylor]: Taking taylor expansion of im in re 0.186 * [backup-simplify]: Simplify im into im 0.186 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.186 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.186 * [taylor]: Taking taylor expansion of -1 in re 0.186 * [backup-simplify]: Simplify -1 into -1 0.186 * [taylor]: Taking taylor expansion of im in re 0.186 * [backup-simplify]: Simplify im into im 0.186 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.187 * [backup-simplify]: Simplify (* -1 -1) into 1 0.187 * [backup-simplify]: Simplify (+ 1 0) into 1 0.187 * [backup-simplify]: Simplify (sqrt 1) into 1 0.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.191 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.191 * [taylor]: Taking taylor expansion of re in re 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (/ 1 1) into 1 0.192 * [backup-simplify]: Simplify (- 1) into -1 0.192 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.192 * [taylor]: Taking taylor expansion of 0 in im 0.192 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (- 0) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [taylor]: Taking taylor expansion of 0 in im 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.197 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.197 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.199 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (- 0) into 0 0.201 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.201 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.201 * [taylor]: Taking taylor expansion of 1/2 in im 0.201 * [backup-simplify]: Simplify 1/2 into 1/2 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.201 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.201 * [taylor]: Taking taylor expansion of im in im 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (* 1 1) into 1 0.202 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.209 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.209 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.209 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.210 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (- 0) into 0 0.212 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [taylor]: Taking taylor expansion of 0 in im 0.212 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.216 * [backup-simplify]: Simplify (sqrt (* (+ re (hypot re im)) 2.0)) into (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) 0.216 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 0.216 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 0.216 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 0.216 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.216 * [taylor]: Taking taylor expansion of re in im 0.216 * [backup-simplify]: Simplify re into re 0.216 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.216 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.216 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.216 * [taylor]: Taking taylor expansion of (* re re) in im 0.216 * [taylor]: Taking taylor expansion of re in im 0.216 * [backup-simplify]: Simplify re into re 0.216 * [taylor]: Taking taylor expansion of re in im 0.216 * [backup-simplify]: Simplify re into re 0.216 * [taylor]: Taking taylor expansion of (* im im) in im 0.216 * [taylor]: Taking taylor expansion of im in im 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [taylor]: Taking taylor expansion of im in im 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.217 * [backup-simplify]: Simplify (* 0 0) into 0 0.217 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.217 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.217 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.218 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.219 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.219 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.219 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.219 * [taylor]: Taking taylor expansion of 2.0 in im 0.219 * [backup-simplify]: Simplify 2.0 into 2.0 0.220 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.220 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.220 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.220 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.221 * [taylor]: Taking taylor expansion of re in re 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.221 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.221 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.221 * [taylor]: Taking taylor expansion of (* re re) in re 0.221 * [taylor]: Taking taylor expansion of re in re 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [taylor]: Taking taylor expansion of re in re 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [taylor]: Taking taylor expansion of (* im im) in re 0.221 * [taylor]: Taking taylor expansion of im in re 0.221 * [backup-simplify]: Simplify im into im 0.221 * [taylor]: Taking taylor expansion of im in re 0.221 * [backup-simplify]: Simplify im into im 0.222 * [backup-simplify]: Simplify (* 0 0) into 0 0.222 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.222 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.222 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.223 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.223 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.223 * [backup-simplify]: Simplify (+ 0 im) into im 0.223 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.224 * [backup-simplify]: Simplify (+ 1 0) into 1 0.224 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.224 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.224 * [taylor]: Taking taylor expansion of 2.0 in re 0.224 * [backup-simplify]: Simplify 2.0 into 2.0 0.225 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.225 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.225 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.225 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.225 * [taylor]: Taking taylor expansion of re in re 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.226 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.226 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.226 * [taylor]: Taking taylor expansion of (* re re) in re 0.226 * [taylor]: Taking taylor expansion of re in re 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of re in re 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of (* im im) in re 0.226 * [taylor]: Taking taylor expansion of im in re 0.226 * [backup-simplify]: Simplify im into im 0.226 * [taylor]: Taking taylor expansion of im in re 0.226 * [backup-simplify]: Simplify im into im 0.226 * [backup-simplify]: Simplify (* 0 0) into 0 0.227 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.227 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.227 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.227 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.228 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.228 * [backup-simplify]: Simplify (+ 0 im) into im 0.228 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.229 * [backup-simplify]: Simplify (+ 1 0) into 1 0.229 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.229 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.229 * [taylor]: Taking taylor expansion of 2.0 in re 0.229 * [backup-simplify]: Simplify 2.0 into 2.0 0.229 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.231 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im)) 0.231 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.231 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.231 * [taylor]: Taking taylor expansion of 2.0 in im 0.231 * [backup-simplify]: Simplify 2.0 into 2.0 0.231 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.232 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.232 * [taylor]: Taking taylor expansion of im in im 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (sqrt 0) into 0 0.234 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.234 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.234 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.235 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.235 * [taylor]: Taking taylor expansion of 1/2 in im 0.235 * [backup-simplify]: Simplify 1/2 into 1/2 0.235 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.235 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.235 * [taylor]: Taking taylor expansion of 2.0 in im 0.235 * [backup-simplify]: Simplify 2.0 into 2.0 0.236 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.237 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.237 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.237 * [taylor]: Taking taylor expansion of im in im 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [backup-simplify]: Simplify (sqrt 0) into 0 0.239 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.241 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.241 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.246 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.247 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.249 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.251 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.252 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.253 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.254 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.254 * [backup-simplify]: Simplify (+ 1 0) into 1 0.255 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.255 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.256 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3)))) 0.257 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* (* 1/2 (sqrt (/ 1 im))) 0) (* (* 1/8 (sqrt (/ 1 (pow im 3)))) (sqrt 2.0)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) 0.257 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.257 * [taylor]: Taking taylor expansion of 1/8 in im 0.257 * [backup-simplify]: Simplify 1/8 into 1/8 0.257 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.257 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.257 * [taylor]: Taking taylor expansion of 2.0 in im 0.257 * [backup-simplify]: Simplify 2.0 into 2.0 0.257 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.258 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.258 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.258 * [taylor]: Taking taylor expansion of im in im 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (* 1 1) into 1 0.259 * [backup-simplify]: Simplify (* 1 1) into 1 0.259 * [backup-simplify]: Simplify (/ 1 1) into 1 0.260 * [backup-simplify]: Simplify (sqrt 0) into 0 0.261 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.268 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.277 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.279 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.280 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.285 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.287 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.292 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 0.292 * [backup-simplify]: Simplify (sqrt (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 2.0)) into (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) 0.293 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.293 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.293 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.293 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.293 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.293 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.293 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.293 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.293 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.293 * [taylor]: Taking taylor expansion of re in im 0.293 * [backup-simplify]: Simplify re into re 0.293 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.293 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.293 * [taylor]: Taking taylor expansion of re in im 0.293 * [backup-simplify]: Simplify re into re 0.293 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.293 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.293 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.293 * [taylor]: Taking taylor expansion of im in im 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.294 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.294 * [taylor]: Taking taylor expansion of im in im 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.295 * [backup-simplify]: Simplify (* 1 1) into 1 0.296 * [backup-simplify]: Simplify (+ 0 1) into 1 0.296 * [backup-simplify]: Simplify (sqrt 1) into 1 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.300 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.300 * [taylor]: Taking taylor expansion of re in im 0.300 * [backup-simplify]: Simplify re into re 0.300 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.300 * [backup-simplify]: Simplify (+ 1 0) into 1 0.301 * [backup-simplify]: Simplify (sqrt 0) into 0 0.302 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.302 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.302 * [taylor]: Taking taylor expansion of 2.0 in im 0.302 * [backup-simplify]: Simplify 2.0 into 2.0 0.302 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.303 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.303 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.303 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.303 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.304 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.304 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.304 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.304 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.304 * [taylor]: Taking taylor expansion of re in re 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (/ 1 1) into 1 0.304 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.304 * [taylor]: Taking taylor expansion of re in re 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (/ 1 1) into 1 0.305 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.305 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.305 * [taylor]: Taking taylor expansion of im in re 0.305 * [backup-simplify]: Simplify im into im 0.305 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.305 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.305 * [taylor]: Taking taylor expansion of im in re 0.305 * [backup-simplify]: Simplify im into im 0.305 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.305 * [backup-simplify]: Simplify (* 1 1) into 1 0.306 * [backup-simplify]: Simplify (+ 1 0) into 1 0.306 * [backup-simplify]: Simplify (sqrt 1) into 1 0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.310 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.310 * [taylor]: Taking taylor expansion of re in re 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.311 * [backup-simplify]: Simplify (+ 1 1) into 2 0.311 * [backup-simplify]: Simplify (sqrt 0) into 0 0.312 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.312 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.312 * [taylor]: Taking taylor expansion of 2.0 in re 0.312 * [backup-simplify]: Simplify 2.0 into 2.0 0.313 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.314 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.314 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.314 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.314 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.314 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.314 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.314 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.314 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.314 * [taylor]: Taking taylor expansion of re in re 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.315 * [taylor]: Taking taylor expansion of re in re 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.315 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.315 * [taylor]: Taking taylor expansion of im in re 0.315 * [backup-simplify]: Simplify im into im 0.315 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.315 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.315 * [taylor]: Taking taylor expansion of im in re 0.315 * [backup-simplify]: Simplify im into im 0.315 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.316 * [backup-simplify]: Simplify (* 1 1) into 1 0.316 * [backup-simplify]: Simplify (+ 1 0) into 1 0.317 * [backup-simplify]: Simplify (sqrt 1) into 1 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.320 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.320 * [taylor]: Taking taylor expansion of re in re 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [backup-simplify]: Simplify (+ 1 1) into 2 0.321 * [backup-simplify]: Simplify (sqrt 0) into 0 0.322 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.322 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.322 * [taylor]: Taking taylor expansion of 2.0 in re 0.322 * [backup-simplify]: Simplify 2.0 into 2.0 0.323 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.324 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0 0.324 * [taylor]: Taking taylor expansion of 0 in im 0.324 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.326 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.326 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.326 * [taylor]: Taking taylor expansion of +nan.0 in im 0.326 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.326 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.327 * [taylor]: Taking taylor expansion of 2.0 in im 0.327 * [backup-simplify]: Simplify 2.0 into 2.0 0.327 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.337 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.337 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.337 * [taylor]: Taking taylor expansion of +nan.0 in im 0.337 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.337 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.337 * [taylor]: Taking taylor expansion of 2.0 in im 0.337 * [backup-simplify]: Simplify 2.0 into 2.0 0.337 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.339 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.340 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.342 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.342 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.347 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.347 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.348 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.351 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0.354 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 0.354 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.354 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.354 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.354 * [taylor]: Taking taylor expansion of +nan.0 in im 0.354 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.354 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.354 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.354 * [taylor]: Taking taylor expansion of 2.0 in im 0.354 * [backup-simplify]: Simplify 2.0 into 2.0 0.354 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.355 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.355 * [taylor]: Taking taylor expansion of im in im 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (* 1 1) into 1 0.357 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.357 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.357 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.357 * [taylor]: Taking taylor expansion of +nan.0 in im 0.357 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.357 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.357 * [taylor]: Taking taylor expansion of 2.0 in im 0.357 * [backup-simplify]: Simplify 2.0 into 2.0 0.357 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.364 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.366 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.367 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.367 * [backup-simplify]: Simplify (- 0) into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.372 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0.379 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (sqrt 2.0)))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 0.379 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.379 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.379 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.379 * [taylor]: Taking taylor expansion of +nan.0 in im 0.379 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.379 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.379 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.379 * [taylor]: Taking taylor expansion of 2.0 in im 0.379 * [backup-simplify]: Simplify 2.0 into 2.0 0.380 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.381 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.381 * [taylor]: Taking taylor expansion of im in im 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (* 1 1) into 1 0.382 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.382 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.382 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.382 * [taylor]: Taking taylor expansion of +nan.0 in im 0.382 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.382 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.382 * [taylor]: Taking taylor expansion of 2.0 in im 0.382 * [backup-simplify]: Simplify 2.0 into 2.0 0.383 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.386 * [backup-simplify]: Simplify (+ 0 0) into 0 0.387 * [backup-simplify]: Simplify (- 0) into 0 0.387 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.394 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.397 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.400 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.402 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.404 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.409 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.409 * [backup-simplify]: Simplify (sqrt (* (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) 0.409 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.410 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.410 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.410 * [taylor]: Taking taylor expansion of 2.0 in im 0.410 * [backup-simplify]: Simplify 2.0 into 2.0 0.410 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.411 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.411 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.411 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.411 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.411 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.411 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.411 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.411 * [taylor]: Taking taylor expansion of -1 in im 0.411 * [backup-simplify]: Simplify -1 into -1 0.411 * [taylor]: Taking taylor expansion of re in im 0.411 * [backup-simplify]: Simplify re into re 0.411 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.412 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.412 * [taylor]: Taking taylor expansion of -1 in im 0.412 * [backup-simplify]: Simplify -1 into -1 0.412 * [taylor]: Taking taylor expansion of re in im 0.412 * [backup-simplify]: Simplify re into re 0.412 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.412 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.412 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.412 * [taylor]: Taking taylor expansion of -1 in im 0.412 * [backup-simplify]: Simplify -1 into -1 0.412 * [taylor]: Taking taylor expansion of im in im 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (/ -1 1) into -1 0.412 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.412 * [taylor]: Taking taylor expansion of -1 in im 0.412 * [backup-simplify]: Simplify -1 into -1 0.412 * [taylor]: Taking taylor expansion of im in im 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (/ -1 1) into -1 0.413 * [backup-simplify]: Simplify (* -1 -1) into 1 0.414 * [backup-simplify]: Simplify (+ 0 1) into 1 0.414 * [backup-simplify]: Simplify (sqrt 1) into 1 0.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.418 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.418 * [taylor]: Taking taylor expansion of re in im 0.418 * [backup-simplify]: Simplify re into re 0.418 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.418 * [backup-simplify]: Simplify (+ 1 0) into 1 0.419 * [backup-simplify]: Simplify (sqrt 0) into 0 0.420 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.420 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.420 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.420 * [taylor]: Taking taylor expansion of 2.0 in re 0.420 * [backup-simplify]: Simplify 2.0 into 2.0 0.421 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.422 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.422 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.422 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.422 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.422 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.422 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.422 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.422 * [taylor]: Taking taylor expansion of -1 in re 0.422 * [backup-simplify]: Simplify -1 into -1 0.422 * [taylor]: Taking taylor expansion of re in re 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (/ -1 1) into -1 0.423 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.423 * [taylor]: Taking taylor expansion of -1 in re 0.423 * [backup-simplify]: Simplify -1 into -1 0.423 * [taylor]: Taking taylor expansion of re in re 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (/ -1 1) into -1 0.423 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.423 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.423 * [taylor]: Taking taylor expansion of -1 in re 0.423 * [backup-simplify]: Simplify -1 into -1 0.423 * [taylor]: Taking taylor expansion of im in re 0.423 * [backup-simplify]: Simplify im into im 0.424 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.424 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.424 * [taylor]: Taking taylor expansion of -1 in re 0.424 * [backup-simplify]: Simplify -1 into -1 0.424 * [taylor]: Taking taylor expansion of im in re 0.424 * [backup-simplify]: Simplify im into im 0.424 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.424 * [backup-simplify]: Simplify (* -1 -1) into 1 0.425 * [backup-simplify]: Simplify (+ 1 0) into 1 0.425 * [backup-simplify]: Simplify (sqrt 1) into 1 0.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.428 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.429 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.429 * [taylor]: Taking taylor expansion of re in re 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (/ 1 1) into 1 0.429 * [backup-simplify]: Simplify (- 1) into -1 0.435 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (- 0) into 0 0.437 * [backup-simplify]: Simplify (+ 0 0) into 0 0.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.440 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.440 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.442 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (- 0) into 0 0.444 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.444 * [backup-simplify]: Simplify (sqrt 0) into 0 0.445 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.445 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.445 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.445 * [taylor]: Taking taylor expansion of 2.0 in re 0.445 * [backup-simplify]: Simplify 2.0 into 2.0 0.446 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.447 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.447 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.447 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.447 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.447 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.447 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.447 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.447 * [taylor]: Taking taylor expansion of -1 in re 0.447 * [backup-simplify]: Simplify -1 into -1 0.447 * [taylor]: Taking taylor expansion of re in re 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (/ -1 1) into -1 0.448 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.448 * [taylor]: Taking taylor expansion of -1 in re 0.448 * [backup-simplify]: Simplify -1 into -1 0.448 * [taylor]: Taking taylor expansion of re in re 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (/ -1 1) into -1 0.448 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.448 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.448 * [taylor]: Taking taylor expansion of -1 in re 0.448 * [backup-simplify]: Simplify -1 into -1 0.448 * [taylor]: Taking taylor expansion of im in re 0.448 * [backup-simplify]: Simplify im into im 0.448 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.449 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.449 * [taylor]: Taking taylor expansion of -1 in re 0.449 * [backup-simplify]: Simplify -1 into -1 0.449 * [taylor]: Taking taylor expansion of im in re 0.449 * [backup-simplify]: Simplify im into im 0.449 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.449 * [backup-simplify]: Simplify (* -1 -1) into 1 0.449 * [backup-simplify]: Simplify (+ 1 0) into 1 0.450 * [backup-simplify]: Simplify (sqrt 1) into 1 0.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.453 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.453 * [taylor]: Taking taylor expansion of re in re 0.453 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 1 into 1 0.454 * [backup-simplify]: Simplify (/ 1 1) into 1 0.454 * [backup-simplify]: Simplify (- 1) into -1 0.455 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (- 0) into 0 0.456 * [backup-simplify]: Simplify (+ 0 0) into 0 0.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.459 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.459 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.460 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (- 0) into 0 0.461 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.461 * [backup-simplify]: Simplify (sqrt 0) into 0 0.462 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.462 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.462 * [taylor]: Taking taylor expansion of 0 in im 0.462 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.463 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.463 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.463 * [taylor]: Taking taylor expansion of +nan.0 in im 0.463 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.463 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.463 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.463 * [taylor]: Taking taylor expansion of 2.0 in im 0.463 * [backup-simplify]: Simplify 2.0 into 2.0 0.463 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.464 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.464 * [taylor]: Taking taylor expansion of im in im 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (* 1 1) into 1 0.464 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) 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 0.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.468 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.468 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.468 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.468 * [backup-simplify]: Simplify (+ 0 0) into 0 0.469 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (- 0) into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.470 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.471 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.472 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 0.472 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.472 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.472 * [taylor]: Taking taylor expansion of +nan.0 in im 0.472 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.472 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.472 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.472 * [taylor]: Taking taylor expansion of 2.0 in im 0.472 * [backup-simplify]: Simplify 2.0 into 2.0 0.472 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.473 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.473 * [taylor]: Taking taylor expansion of im in im 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.474 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.474 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.481 * [backup-simplify]: Simplify (- 0) into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.484 * [backup-simplify]: Simplify (- 0) into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.486 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.486 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.487 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (- 0) into 0 0.489 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.489 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) 0.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.491 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 0.491 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.491 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.491 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.491 * [taylor]: Taking taylor expansion of +nan.0 in im 0.491 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.491 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.491 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.491 * [taylor]: Taking taylor expansion of 2.0 in im 0.491 * [backup-simplify]: Simplify 2.0 into 2.0 0.492 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.493 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.493 * [taylor]: Taking taylor expansion of im in im 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (* 1 1) into 1 0.493 * [backup-simplify]: Simplify (* 1 1) into 1 0.494 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.494 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.494 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.495 * [taylor]: Taking taylor expansion of +nan.0 in im 0.495 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.495 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.495 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.495 * [taylor]: Taking taylor expansion of 2.0 in im 0.495 * [backup-simplify]: Simplify 2.0 into 2.0 0.495 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.496 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.496 * [taylor]: Taking taylor expansion of im in im 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [backup-simplify]: Simplify (* 1 1) into 1 0.498 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.499 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.501 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.511 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.514 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.539 * [backup-simplify]: Simplify (- 0) into 0 0.539 * [backup-simplify]: Simplify (+ 0 0) into 0 0.539 * [backup-simplify]: Simplify (- 0) into 0 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 2) 0.540 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.540 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.540 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.540 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.540 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.540 * [taylor]: Taking taylor expansion of (* re re) in im 0.540 * [taylor]: Taking taylor expansion of re in im 0.540 * [backup-simplify]: Simplify re into re 0.540 * [taylor]: Taking taylor expansion of re in im 0.540 * [backup-simplify]: Simplify re into re 0.540 * [taylor]: Taking taylor expansion of (* im im) in im 0.540 * [taylor]: Taking taylor expansion of im in im 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [taylor]: Taking taylor expansion of im in im 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.541 * [backup-simplify]: Simplify (* 0 0) into 0 0.541 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.541 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.541 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.541 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.542 * [backup-simplify]: Simplify (+ 0 0) into 0 0.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.542 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.542 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.542 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.542 * [taylor]: Taking taylor expansion of (* re re) in re 0.542 * [taylor]: Taking taylor expansion of re in re 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 1 into 1 0.542 * [taylor]: Taking taylor expansion of re in re 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 1 into 1 0.542 * [taylor]: Taking taylor expansion of (* im im) in re 0.542 * [taylor]: Taking taylor expansion of im in re 0.542 * [backup-simplify]: Simplify im into im 0.542 * [taylor]: Taking taylor expansion of im in re 0.542 * [backup-simplify]: Simplify im into im 0.543 * [backup-simplify]: Simplify (* 0 0) into 0 0.543 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.543 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.543 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.544 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.544 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.544 * [backup-simplify]: Simplify (+ 0 0) into 0 0.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.544 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.545 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.545 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.545 * [taylor]: Taking taylor expansion of (* re re) in re 0.545 * [taylor]: Taking taylor expansion of re in re 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.545 * [taylor]: Taking taylor expansion of re in re 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.545 * [taylor]: Taking taylor expansion of (* im im) in re 0.545 * [taylor]: Taking taylor expansion of im in re 0.545 * [backup-simplify]: Simplify im into im 0.545 * [taylor]: Taking taylor expansion of im in re 0.545 * [backup-simplify]: Simplify im into im 0.545 * [backup-simplify]: Simplify (* 0 0) into 0 0.545 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.546 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.546 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.546 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.547 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.547 * [backup-simplify]: Simplify (+ 0 0) into 0 0.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.547 * [taylor]: Taking taylor expansion of im in im 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 1 into 1 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [taylor]: Taking taylor expansion of 0 in im 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.548 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.548 * [backup-simplify]: Simplify (+ 1 0) into 1 0.549 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.549 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.549 * [taylor]: Taking taylor expansion of 1/2 in im 0.549 * [backup-simplify]: Simplify 1/2 into 1/2 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 (/ 1/2 1) into 1/2 0.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.551 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.551 * [backup-simplify]: Simplify (+ 0 0) into 0 0.551 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.551 * [taylor]: Taking taylor expansion of 0 in im 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.552 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.552 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.552 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.552 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.552 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.553 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.553 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.553 * [taylor]: Taking taylor expansion of re in im 0.553 * [backup-simplify]: Simplify re into re 0.553 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.553 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.553 * [taylor]: Taking taylor expansion of re in im 0.553 * [backup-simplify]: Simplify re into re 0.553 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.553 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.553 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.553 * [taylor]: Taking taylor expansion of im in im 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 1 into 1 0.553 * [backup-simplify]: Simplify (/ 1 1) into 1 0.553 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.553 * [taylor]: Taking taylor expansion of im in im 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 1 into 1 0.553 * [backup-simplify]: Simplify (/ 1 1) into 1 0.554 * [backup-simplify]: Simplify (* 1 1) into 1 0.554 * [backup-simplify]: Simplify (+ 0 1) into 1 0.554 * [backup-simplify]: Simplify (sqrt 1) into 1 0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.556 * [backup-simplify]: Simplify (+ 0 0) into 0 0.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.556 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.556 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.556 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.556 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.556 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.556 * [taylor]: Taking taylor expansion of re in re 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.560 * [backup-simplify]: Simplify (/ 1 1) into 1 0.560 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.560 * [taylor]: Taking taylor expansion of re in re 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 1 into 1 0.561 * [backup-simplify]: Simplify (/ 1 1) into 1 0.561 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.561 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.561 * [taylor]: Taking taylor expansion of im in re 0.561 * [backup-simplify]: Simplify im into im 0.561 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.561 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.561 * [taylor]: Taking taylor expansion of im in re 0.561 * [backup-simplify]: Simplify im into im 0.561 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.562 * [backup-simplify]: Simplify (* 1 1) into 1 0.562 * [backup-simplify]: Simplify (+ 1 0) into 1 0.562 * [backup-simplify]: Simplify (sqrt 1) into 1 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.564 * [backup-simplify]: Simplify (+ 0 0) into 0 0.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.564 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.564 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.565 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.565 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.565 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.565 * [taylor]: Taking taylor expansion of re in re 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify (/ 1 1) into 1 0.565 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.565 * [taylor]: Taking taylor expansion of re in re 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify (/ 1 1) into 1 0.565 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.565 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.565 * [taylor]: Taking taylor expansion of im in re 0.565 * [backup-simplify]: Simplify im into im 0.565 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.565 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.565 * [taylor]: Taking taylor expansion of im in re 0.565 * [backup-simplify]: Simplify im into im 0.565 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.566 * [backup-simplify]: Simplify (* 1 1) into 1 0.566 * [backup-simplify]: Simplify (+ 1 0) into 1 0.566 * [backup-simplify]: Simplify (sqrt 1) into 1 0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.568 * [backup-simplify]: Simplify (+ 0 0) into 0 0.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.568 * [taylor]: Taking taylor expansion of 1 in im 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [taylor]: Taking taylor expansion of 0 in im 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.570 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.570 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.571 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.571 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.571 * [taylor]: Taking taylor expansion of 1/2 in im 0.571 * [backup-simplify]: Simplify 1/2 into 1/2 0.571 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.571 * [taylor]: Taking taylor expansion of im in im 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.572 * [backup-simplify]: Simplify (* 1 1) into 1 0.572 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.575 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.575 * [backup-simplify]: Simplify (+ 0 0) into 0 0.576 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.576 * [taylor]: Taking taylor expansion of 0 in im 0.576 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.578 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.578 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.578 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.578 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.578 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.578 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.578 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.578 * [taylor]: Taking taylor expansion of -1 in im 0.578 * [backup-simplify]: Simplify -1 into -1 0.578 * [taylor]: Taking taylor expansion of re in im 0.578 * [backup-simplify]: Simplify re into re 0.578 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.578 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.578 * [taylor]: Taking taylor expansion of -1 in im 0.578 * [backup-simplify]: Simplify -1 into -1 0.578 * [taylor]: Taking taylor expansion of re in im 0.578 * [backup-simplify]: Simplify re into re 0.578 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.578 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.578 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.578 * [taylor]: Taking taylor expansion of -1 in im 0.578 * [backup-simplify]: Simplify -1 into -1 0.578 * [taylor]: Taking taylor expansion of im in im 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 1 into 1 0.579 * [backup-simplify]: Simplify (/ -1 1) into -1 0.579 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.579 * [taylor]: Taking taylor expansion of -1 in im 0.579 * [backup-simplify]: Simplify -1 into -1 0.579 * [taylor]: Taking taylor expansion of im in im 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.579 * [backup-simplify]: Simplify (/ -1 1) into -1 0.580 * [backup-simplify]: Simplify (* -1 -1) into 1 0.580 * [backup-simplify]: Simplify (+ 0 1) into 1 0.581 * [backup-simplify]: Simplify (sqrt 1) into 1 0.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.583 * [backup-simplify]: Simplify (+ 0 0) into 0 0.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.583 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.583 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.583 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.583 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.583 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.583 * [taylor]: Taking taylor expansion of -1 in re 0.583 * [backup-simplify]: Simplify -1 into -1 0.583 * [taylor]: Taking taylor expansion of re in re 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 1 into 1 0.584 * [backup-simplify]: Simplify (/ -1 1) into -1 0.584 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.584 * [taylor]: Taking taylor expansion of -1 in re 0.584 * [backup-simplify]: Simplify -1 into -1 0.584 * [taylor]: Taking taylor expansion of re in re 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [backup-simplify]: Simplify (/ -1 1) into -1 0.584 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.584 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.584 * [taylor]: Taking taylor expansion of -1 in re 0.584 * [backup-simplify]: Simplify -1 into -1 0.584 * [taylor]: Taking taylor expansion of im in re 0.584 * [backup-simplify]: Simplify im into im 0.584 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.584 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.584 * [taylor]: Taking taylor expansion of -1 in re 0.584 * [backup-simplify]: Simplify -1 into -1 0.584 * [taylor]: Taking taylor expansion of im in re 0.585 * [backup-simplify]: Simplify im into im 0.585 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.585 * [backup-simplify]: Simplify (* -1 -1) into 1 0.585 * [backup-simplify]: Simplify (+ 1 0) into 1 0.585 * [backup-simplify]: Simplify (sqrt 1) into 1 0.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.587 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.587 * [backup-simplify]: Simplify (+ 0 0) into 0 0.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.588 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.588 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.588 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.588 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.588 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.588 * [taylor]: Taking taylor expansion of -1 in re 0.588 * [backup-simplify]: Simplify -1 into -1 0.588 * [taylor]: Taking taylor expansion of re in re 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 1 into 1 0.589 * [backup-simplify]: Simplify (/ -1 1) into -1 0.589 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.589 * [taylor]: Taking taylor expansion of -1 in re 0.589 * [backup-simplify]: Simplify -1 into -1 0.589 * [taylor]: Taking taylor expansion of re in re 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify 1 into 1 0.590 * [backup-simplify]: Simplify (/ -1 1) into -1 0.590 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.590 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.590 * [taylor]: Taking taylor expansion of -1 in re 0.590 * [backup-simplify]: Simplify -1 into -1 0.590 * [taylor]: Taking taylor expansion of im in re 0.590 * [backup-simplify]: Simplify im into im 0.590 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.590 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.590 * [taylor]: Taking taylor expansion of -1 in re 0.590 * [backup-simplify]: Simplify -1 into -1 0.590 * [taylor]: Taking taylor expansion of im in re 0.590 * [backup-simplify]: Simplify im into im 0.590 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.590 * [backup-simplify]: Simplify (* -1 -1) into 1 0.591 * [backup-simplify]: Simplify (+ 1 0) into 1 0.591 * [backup-simplify]: Simplify (sqrt 1) into 1 0.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.594 * [backup-simplify]: Simplify (+ 0 0) into 0 0.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.595 * [taylor]: Taking taylor expansion of 1 in im 0.595 * [backup-simplify]: Simplify 1 into 1 0.595 * [taylor]: Taking taylor expansion of 0 in im 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 1 into 1 0.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.599 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.599 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.601 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.601 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.601 * [taylor]: Taking taylor expansion of 1/2 in im 0.601 * [backup-simplify]: Simplify 1/2 into 1/2 0.601 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.601 * [taylor]: Taking taylor expansion of im in im 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [backup-simplify]: Simplify (* 1 1) into 1 0.602 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.605 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.605 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.605 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.605 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.605 * [backup-simplify]: Simplify (+ 0 0) into 0 0.606 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.606 * [taylor]: Taking taylor expansion of 0 in im 0.606 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.607 * * * [progress]: simplifying candidates 0.608 * [simplify]: Simplifying: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (sqrt (* (+ re (hypot re im)) 2.0))) (log1p (sqrt (* (+ re (hypot re im)) 2.0))) (log (sqrt (* (+ re (hypot re im)) 2.0))) (exp (sqrt (* (+ re (hypot re im)) 2.0))) (* (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0)))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (* (* (sqrt (* (+ re (hypot re im)) 2.0)) (sqrt (* (+ re (hypot re im)) 2.0))) (sqrt (* (+ re (hypot re im)) 2.0))) (sqrt (+ re (hypot re im))) (sqrt 2.0) (sqrt (* (+ (pow re 3) (pow (hypot re im) 3)) 2.0)) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (* (- (* re re) (* (hypot re im) (hypot re im))) 2.0)) (sqrt (- re (hypot re im))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (+ re (hypot re im)) 2.0))) (sqrt (sqrt (* (+ re (hypot re im)) 2.0))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 im re (* -1 re) 0.609 * * [simplify]: Extracting # 0 : cost 0 0.609 * * [simplify]: Extracting # 1 : cost 0 0.609 * * [simplify]: Extracting # 2 : cost 0 0.609 * * [simplify]: Extracting # 3 : cost 0 0.609 * * [simplify]: Extracting # 4 : cost 0 0.609 * * [simplify]: Extracting # 5 : cost 0 0.609 * * [simplify]: Extracting # 6 : cost 0 0.609 * * [simplify]: Extracting # 7 : cost 0 0.610 * * [simplify]: Extracting # 8 : cost 0 0.610 * * [simplify]: Extracting # 9 : cost 0 0.610 * * [simplify]: Extracting # 10 : cost 0 0.610 * * [simplify]: iteration 0 : 86 enodes (cost 414 ) 0.627 * * [simplify]: Extracting # 0 : cost 0 0.627 * * [simplify]: Extracting # 1 : cost 0 0.627 * * [simplify]: Extracting # 2 : cost 0 0.627 * * [simplify]: Extracting # 3 : cost 0 0.628 * * [simplify]: Extracting # 4 : cost 0 0.628 * * [simplify]: iteration 1 : 187 enodes (cost 377 ) 0.696 * * [simplify]: Extracting # 0 : cost 0 0.697 * * [simplify]: Extracting # 1 : cost 0 0.697 * * [simplify]: Extracting # 2 : cost 0 0.698 * * [simplify]: Extracting # 3 : cost 0 0.698 * * [simplify]: Extracting # 4 : cost 0 0.699 * * [simplify]: iteration 2 : 459 enodes (cost 354 ) 0.971 * * [simplify]: Extracting # 0 : cost 0 0.974 * * [simplify]: Extracting # 1 : cost 0 0.976 * * [simplify]: Extracting # 2 : cost 0 0.979 * * [simplify]: Extracting # 3 : cost 0 0.981 * * [simplify]: iteration 3 : 1219 enodes (cost 345 ) 3.051 * * [simplify]: Extracting # 0 : cost 0 3.059 * * [simplify]: Extracting # 1 : cost 0 3.065 * * [simplify]: Extracting # 2 : cost 0 3.071 * * [simplify]: Extracting # 3 : cost 0 3.077 * * [simplify]: Extracting # 4 : cost 0 3.083 * * [simplify]: iteration 4 : 3260 enodes (cost 344 ) 5.837 * * [simplify]: Extracting # 0 : cost 0 5.842 * * [simplify]: Extracting # 1 : cost 0 5.852 * * [simplify]: Extracting # 2 : cost 0 5.857 * * [simplify]: Extracting # 3 : cost 0 5.862 * * [simplify]: Extracting # 4 : cost 0 5.870 * * [simplify]: iteration done: 5001 enodes (cost 344 ) 5.870 * [simplify]: Simplified to: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma re re (* (hypot re im) (- (hypot re im) re))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (sqrt (* (+ re (hypot re im)) 2.0))) (log1p (sqrt (* (+ re (hypot re im)) 2.0))) (log (sqrt (* (+ re (hypot re im)) 2.0))) (exp (sqrt (* (+ re (hypot re im)) 2.0))) (* (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0)))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (pow (sqrt (* (+ re (hypot re im)) 2.0)) 3) (sqrt (+ re (hypot re im))) (sqrt 2.0) (sqrt (* (+ (pow re 3) (pow (hypot re im) 3)) 2.0)) (sqrt (fma re re (* (hypot re im) (- (hypot re im) re)))) (sqrt (* (- (* re re) (* (hypot re im) (hypot re im))) 2.0)) (sqrt (- re (hypot re im))) 1/2 1/2 (sqrt (sqrt (* (+ re (hypot re im)) 2.0))) (sqrt (sqrt (* (+ re (hypot re im)) 2.0))) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 (* (* (- +nan.0) (sqrt 2.0)) (fma re re (- re im))) (fma (- (sqrt 2.0)) +nan.0 (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0))) 0 im re (- re) 5.871 * * * [progress]: adding candidates to table 6.449 * * [progress]: iteration 2 / 4 6.449 * * * [progress]: picking best candidate 6.472 * * * * [pick]: Picked # 6.472 * * * [progress]: localizing error 6.486 * * * [progress]: generating rewritten candidates 6.486 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 6.493 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 6.545 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 6.546 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 6.560 * * * [progress]: generating series expansions 6.560 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 6.560 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ re (hypot re im)) 6.560 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 6.560 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 6.560 * [taylor]: Taking taylor expansion of re in im 6.560 * [backup-simplify]: Simplify re into re 6.560 * [taylor]: Taking taylor expansion of (hypot re im) in im 6.560 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.560 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 6.560 * [taylor]: Taking taylor expansion of (* re re) in im 6.560 * [taylor]: Taking taylor expansion of re in im 6.560 * [backup-simplify]: Simplify re into re 6.560 * [taylor]: Taking taylor expansion of re in im 6.560 * [backup-simplify]: Simplify re into re 6.560 * [taylor]: Taking taylor expansion of (* im im) in im 6.560 * [taylor]: Taking taylor expansion of im in im 6.560 * [backup-simplify]: Simplify 0 into 0 6.560 * [backup-simplify]: Simplify 1 into 1 6.560 * [taylor]: Taking taylor expansion of im in im 6.561 * [backup-simplify]: Simplify 0 into 0 6.561 * [backup-simplify]: Simplify 1 into 1 6.561 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.561 * [backup-simplify]: Simplify (* 0 0) into 0 6.561 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.561 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.561 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.562 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.562 * [backup-simplify]: Simplify (+ 0 0) into 0 6.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.562 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 6.562 * [taylor]: Taking taylor expansion of re in re 6.562 * [backup-simplify]: Simplify 0 into 0 6.562 * [backup-simplify]: Simplify 1 into 1 6.562 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.562 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.562 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.562 * [taylor]: Taking taylor expansion of (* re re) in re 6.562 * [taylor]: Taking taylor expansion of re in re 6.562 * [backup-simplify]: Simplify 0 into 0 6.562 * [backup-simplify]: Simplify 1 into 1 6.562 * [taylor]: Taking taylor expansion of re in re 6.562 * [backup-simplify]: Simplify 0 into 0 6.562 * [backup-simplify]: Simplify 1 into 1 6.562 * [taylor]: Taking taylor expansion of (* im im) in re 6.562 * [taylor]: Taking taylor expansion of im in re 6.562 * [backup-simplify]: Simplify im into im 6.562 * [taylor]: Taking taylor expansion of im in re 6.562 * [backup-simplify]: Simplify im into im 6.563 * [backup-simplify]: Simplify (* 0 0) into 0 6.563 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.563 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.563 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.563 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.563 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.564 * [backup-simplify]: Simplify (+ 0 0) into 0 6.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.564 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 6.564 * [taylor]: Taking taylor expansion of re in re 6.564 * [backup-simplify]: Simplify 0 into 0 6.564 * [backup-simplify]: Simplify 1 into 1 6.564 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.564 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.564 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.564 * [taylor]: Taking taylor expansion of (* re re) in re 6.564 * [taylor]: Taking taylor expansion of re in re 6.564 * [backup-simplify]: Simplify 0 into 0 6.564 * [backup-simplify]: Simplify 1 into 1 6.564 * [taylor]: Taking taylor expansion of re in re 6.564 * [backup-simplify]: Simplify 0 into 0 6.564 * [backup-simplify]: Simplify 1 into 1 6.564 * [taylor]: Taking taylor expansion of (* im im) in re 6.564 * [taylor]: Taking taylor expansion of im in re 6.564 * [backup-simplify]: Simplify im into im 6.564 * [taylor]: Taking taylor expansion of im in re 6.564 * [backup-simplify]: Simplify im into im 6.564 * [backup-simplify]: Simplify (* 0 0) into 0 6.564 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.564 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.564 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.565 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.565 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.565 * [backup-simplify]: Simplify (+ 0 0) into 0 6.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.565 * [backup-simplify]: Simplify (+ 0 im) into im 6.565 * [taylor]: Taking taylor expansion of im in im 6.565 * [backup-simplify]: Simplify 0 into 0 6.565 * [backup-simplify]: Simplify 1 into 1 6.565 * [backup-simplify]: Simplify 0 into 0 6.566 * [backup-simplify]: Simplify (+ 1 0) into 1 6.566 * [taylor]: Taking taylor expansion of 1 in im 6.566 * [backup-simplify]: Simplify 1 into 1 6.566 * [backup-simplify]: Simplify 1 into 1 6.566 * [backup-simplify]: Simplify 1 into 1 6.566 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.567 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.567 * [backup-simplify]: Simplify (+ 1 0) into 1 6.567 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.567 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 6.567 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 6.567 * [taylor]: Taking taylor expansion of 1/2 in im 6.567 * [backup-simplify]: Simplify 1/2 into 1/2 6.567 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.568 * [taylor]: Taking taylor expansion of im in im 6.568 * [backup-simplify]: Simplify 0 into 0 6.568 * [backup-simplify]: Simplify 1 into 1 6.568 * [backup-simplify]: Simplify (/ 1 1) into 1 6.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.569 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.569 * [backup-simplify]: Simplify 0 into 0 6.569 * [backup-simplify]: Simplify 0 into 0 6.569 * [backup-simplify]: Simplify 0 into 0 6.569 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.570 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.570 * [backup-simplify]: Simplify (+ 0 0) into 0 6.570 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.571 * [backup-simplify]: Simplify (+ 0 0) into 0 6.571 * [taylor]: Taking taylor expansion of 0 in im 6.571 * [backup-simplify]: Simplify 0 into 0 6.571 * [backup-simplify]: Simplify 0 into 0 6.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.572 * [backup-simplify]: Simplify 0 into 0 6.572 * [backup-simplify]: Simplify 0 into 0 6.572 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 6.572 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 6.572 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 6.572 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 6.572 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 6.572 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.572 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 6.572 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 6.572 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.572 * [taylor]: Taking taylor expansion of re in im 6.572 * [backup-simplify]: Simplify re into re 6.572 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.572 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.572 * [taylor]: Taking taylor expansion of re in im 6.572 * [backup-simplify]: Simplify re into re 6.572 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.572 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 6.572 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.572 * [taylor]: Taking taylor expansion of im in im 6.572 * [backup-simplify]: Simplify 0 into 0 6.572 * [backup-simplify]: Simplify 1 into 1 6.573 * [backup-simplify]: Simplify (/ 1 1) into 1 6.573 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.573 * [taylor]: Taking taylor expansion of im in im 6.573 * [backup-simplify]: Simplify 0 into 0 6.573 * [backup-simplify]: Simplify 1 into 1 6.573 * [backup-simplify]: Simplify (/ 1 1) into 1 6.573 * [backup-simplify]: Simplify (* 1 1) into 1 6.573 * [backup-simplify]: Simplify (+ 0 1) into 1 6.574 * [backup-simplify]: Simplify (sqrt 1) into 1 6.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.575 * [backup-simplify]: Simplify (+ 0 0) into 0 6.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.576 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.576 * [taylor]: Taking taylor expansion of re in im 6.576 * [backup-simplify]: Simplify re into re 6.576 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.576 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 6.576 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.576 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.576 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.576 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.576 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.576 * [taylor]: Taking taylor expansion of re in re 6.576 * [backup-simplify]: Simplify 0 into 0 6.576 * [backup-simplify]: Simplify 1 into 1 6.576 * [backup-simplify]: Simplify (/ 1 1) into 1 6.576 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.576 * [taylor]: Taking taylor expansion of re in re 6.576 * [backup-simplify]: Simplify 0 into 0 6.576 * [backup-simplify]: Simplify 1 into 1 6.577 * [backup-simplify]: Simplify (/ 1 1) into 1 6.577 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.577 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.577 * [taylor]: Taking taylor expansion of im in re 6.577 * [backup-simplify]: Simplify im into im 6.577 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.577 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.577 * [taylor]: Taking taylor expansion of im in re 6.577 * [backup-simplify]: Simplify im into im 6.577 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.577 * [backup-simplify]: Simplify (* 1 1) into 1 6.577 * [backup-simplify]: Simplify (+ 1 0) into 1 6.577 * [backup-simplify]: Simplify (sqrt 1) into 1 6.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.579 * [backup-simplify]: Simplify (+ 0 0) into 0 6.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.579 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.579 * [taylor]: Taking taylor expansion of re in re 6.579 * [backup-simplify]: Simplify 0 into 0 6.579 * [backup-simplify]: Simplify 1 into 1 6.580 * [backup-simplify]: Simplify (/ 1 1) into 1 6.580 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 6.580 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.580 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.580 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.580 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.580 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.580 * [taylor]: Taking taylor expansion of re in re 6.580 * [backup-simplify]: Simplify 0 into 0 6.580 * [backup-simplify]: Simplify 1 into 1 6.580 * [backup-simplify]: Simplify (/ 1 1) into 1 6.580 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.580 * [taylor]: Taking taylor expansion of re in re 6.580 * [backup-simplify]: Simplify 0 into 0 6.580 * [backup-simplify]: Simplify 1 into 1 6.580 * [backup-simplify]: Simplify (/ 1 1) into 1 6.580 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.581 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.581 * [taylor]: Taking taylor expansion of im in re 6.581 * [backup-simplify]: Simplify im into im 6.581 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.581 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.581 * [taylor]: Taking taylor expansion of im in re 6.581 * [backup-simplify]: Simplify im into im 6.581 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.581 * [backup-simplify]: Simplify (* 1 1) into 1 6.581 * [backup-simplify]: Simplify (+ 1 0) into 1 6.581 * [backup-simplify]: Simplify (sqrt 1) into 1 6.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.583 * [backup-simplify]: Simplify (+ 0 0) into 0 6.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.584 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.584 * [taylor]: Taking taylor expansion of re in re 6.584 * [backup-simplify]: Simplify 0 into 0 6.584 * [backup-simplify]: Simplify 1 into 1 6.584 * [backup-simplify]: Simplify (/ 1 1) into 1 6.584 * [backup-simplify]: Simplify (+ 1 1) into 2 6.585 * [taylor]: Taking taylor expansion of 2 in im 6.585 * [backup-simplify]: Simplify 2 into 2 6.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.586 * [backup-simplify]: Simplify (+ 0 0) into 0 6.586 * [taylor]: Taking taylor expansion of 0 in im 6.586 * [backup-simplify]: Simplify 0 into 0 6.586 * [backup-simplify]: Simplify 2 into 2 6.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.594 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 6.594 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.596 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.597 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.597 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 6.597 * [taylor]: Taking taylor expansion of 1/2 in im 6.597 * [backup-simplify]: Simplify 1/2 into 1/2 6.597 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.597 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.597 * [taylor]: Taking taylor expansion of im in im 6.597 * [backup-simplify]: Simplify 0 into 0 6.597 * [backup-simplify]: Simplify 1 into 1 6.598 * [backup-simplify]: Simplify (* 1 1) into 1 6.598 * [backup-simplify]: Simplify (/ 1 1) into 1 6.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.601 * [backup-simplify]: Simplify 0 into 0 6.601 * [backup-simplify]: Simplify 0 into 0 6.601 * [backup-simplify]: Simplify 0 into 0 6.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 6.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 6.604 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 6.605 * [backup-simplify]: Simplify (+ 0 0) into 0 6.605 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.607 * [backup-simplify]: Simplify (+ 0 0) into 0 6.607 * [taylor]: Taking taylor expansion of 0 in im 6.607 * [backup-simplify]: Simplify 0 into 0 6.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.610 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.610 * [backup-simplify]: Simplify 0 into 0 6.610 * [backup-simplify]: Simplify 0 into 0 6.610 * [backup-simplify]: Simplify 0 into 0 6.610 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 6.611 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 6.611 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 6.611 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 6.611 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 6.611 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.611 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 6.611 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 6.611 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.611 * [taylor]: Taking taylor expansion of -1 in im 6.611 * [backup-simplify]: Simplify -1 into -1 6.611 * [taylor]: Taking taylor expansion of re in im 6.611 * [backup-simplify]: Simplify re into re 6.611 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 6.611 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.611 * [taylor]: Taking taylor expansion of -1 in im 6.611 * [backup-simplify]: Simplify -1 into -1 6.611 * [taylor]: Taking taylor expansion of re in im 6.611 * [backup-simplify]: Simplify re into re 6.611 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 6.611 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 6.611 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.611 * [taylor]: Taking taylor expansion of -1 in im 6.612 * [backup-simplify]: Simplify -1 into -1 6.612 * [taylor]: Taking taylor expansion of im in im 6.612 * [backup-simplify]: Simplify 0 into 0 6.612 * [backup-simplify]: Simplify 1 into 1 6.612 * [backup-simplify]: Simplify (/ -1 1) into -1 6.612 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.612 * [taylor]: Taking taylor expansion of -1 in im 6.612 * [backup-simplify]: Simplify -1 into -1 6.612 * [taylor]: Taking taylor expansion of im in im 6.612 * [backup-simplify]: Simplify 0 into 0 6.612 * [backup-simplify]: Simplify 1 into 1 6.613 * [backup-simplify]: Simplify (/ -1 1) into -1 6.613 * [backup-simplify]: Simplify (* -1 -1) into 1 6.614 * [backup-simplify]: Simplify (+ 0 1) into 1 6.614 * [backup-simplify]: Simplify (sqrt 1) into 1 6.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.617 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.617 * [backup-simplify]: Simplify (+ 0 0) into 0 6.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.618 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.618 * [taylor]: Taking taylor expansion of re in im 6.618 * [backup-simplify]: Simplify re into re 6.618 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.618 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 6.618 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.619 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.619 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.619 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.619 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.619 * [taylor]: Taking taylor expansion of -1 in re 6.619 * [backup-simplify]: Simplify -1 into -1 6.619 * [taylor]: Taking taylor expansion of re in re 6.619 * [backup-simplify]: Simplify 0 into 0 6.619 * [backup-simplify]: Simplify 1 into 1 6.619 * [backup-simplify]: Simplify (/ -1 1) into -1 6.619 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.619 * [taylor]: Taking taylor expansion of -1 in re 6.619 * [backup-simplify]: Simplify -1 into -1 6.619 * [taylor]: Taking taylor expansion of re in re 6.619 * [backup-simplify]: Simplify 0 into 0 6.619 * [backup-simplify]: Simplify 1 into 1 6.620 * [backup-simplify]: Simplify (/ -1 1) into -1 6.620 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.620 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.620 * [taylor]: Taking taylor expansion of -1 in re 6.620 * [backup-simplify]: Simplify -1 into -1 6.620 * [taylor]: Taking taylor expansion of im in re 6.620 * [backup-simplify]: Simplify im into im 6.621 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.621 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.621 * [taylor]: Taking taylor expansion of -1 in re 6.621 * [backup-simplify]: Simplify -1 into -1 6.621 * [taylor]: Taking taylor expansion of im in re 6.621 * [backup-simplify]: Simplify im into im 6.621 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.621 * [backup-simplify]: Simplify (* -1 -1) into 1 6.622 * [backup-simplify]: Simplify (+ 1 0) into 1 6.622 * [backup-simplify]: Simplify (sqrt 1) into 1 6.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.625 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.626 * [backup-simplify]: Simplify (+ 0 0) into 0 6.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.627 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.627 * [taylor]: Taking taylor expansion of re in re 6.627 * [backup-simplify]: Simplify 0 into 0 6.627 * [backup-simplify]: Simplify 1 into 1 6.627 * [backup-simplify]: Simplify (/ 1 1) into 1 6.627 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 6.628 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.628 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.628 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.628 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.628 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.628 * [taylor]: Taking taylor expansion of -1 in re 6.628 * [backup-simplify]: Simplify -1 into -1 6.628 * [taylor]: Taking taylor expansion of re in re 6.628 * [backup-simplify]: Simplify 0 into 0 6.628 * [backup-simplify]: Simplify 1 into 1 6.629 * [backup-simplify]: Simplify (/ -1 1) into -1 6.629 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.629 * [taylor]: Taking taylor expansion of -1 in re 6.629 * [backup-simplify]: Simplify -1 into -1 6.629 * [taylor]: Taking taylor expansion of re in re 6.629 * [backup-simplify]: Simplify 0 into 0 6.629 * [backup-simplify]: Simplify 1 into 1 6.629 * [backup-simplify]: Simplify (/ -1 1) into -1 6.629 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.629 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.629 * [taylor]: Taking taylor expansion of -1 in re 6.630 * [backup-simplify]: Simplify -1 into -1 6.630 * [taylor]: Taking taylor expansion of im in re 6.630 * [backup-simplify]: Simplify im into im 6.630 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.630 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.630 * [taylor]: Taking taylor expansion of -1 in re 6.630 * [backup-simplify]: Simplify -1 into -1 6.630 * [taylor]: Taking taylor expansion of im in re 6.630 * [backup-simplify]: Simplify im into im 6.630 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.630 * [backup-simplify]: Simplify (* -1 -1) into 1 6.631 * [backup-simplify]: Simplify (+ 1 0) into 1 6.631 * [backup-simplify]: Simplify (sqrt 1) into 1 6.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.633 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.634 * [backup-simplify]: Simplify (+ 0 0) into 0 6.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.634 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.634 * [taylor]: Taking taylor expansion of re in re 6.634 * [backup-simplify]: Simplify 0 into 0 6.634 * [backup-simplify]: Simplify 1 into 1 6.635 * [backup-simplify]: Simplify (/ 1 1) into 1 6.635 * [backup-simplify]: Simplify (- 1) into -1 6.636 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.636 * [taylor]: Taking taylor expansion of 0 in im 6.636 * [backup-simplify]: Simplify 0 into 0 6.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.637 * [backup-simplify]: Simplify (- 0) into 0 6.637 * [backup-simplify]: Simplify (+ 0 0) into 0 6.637 * [taylor]: Taking taylor expansion of 0 in im 6.637 * [backup-simplify]: Simplify 0 into 0 6.637 * [backup-simplify]: Simplify 0 into 0 6.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.639 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 6.640 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 6.640 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.641 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.642 * [backup-simplify]: Simplify (- 0) into 0 6.642 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.642 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 6.642 * [taylor]: Taking taylor expansion of 1/2 in im 6.642 * [backup-simplify]: Simplify 1/2 into 1/2 6.642 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.642 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.642 * [taylor]: Taking taylor expansion of im in im 6.642 * [backup-simplify]: Simplify 0 into 0 6.643 * [backup-simplify]: Simplify 1 into 1 6.643 * [backup-simplify]: Simplify (* 1 1) into 1 6.643 * [backup-simplify]: Simplify (/ 1 1) into 1 6.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.645 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.645 * [backup-simplify]: Simplify 0 into 0 6.645 * [backup-simplify]: Simplify 0 into 0 6.645 * [backup-simplify]: Simplify 0 into 0 6.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.648 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 6.648 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 6.648 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 6.649 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 6.649 * [backup-simplify]: Simplify (+ 0 0) into 0 6.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.652 * [backup-simplify]: Simplify (- 0) into 0 6.652 * [backup-simplify]: Simplify (+ 0 0) into 0 6.652 * [taylor]: Taking taylor expansion of 0 in im 6.652 * [backup-simplify]: Simplify 0 into 0 6.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.655 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify 0 into 0 6.655 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 6.656 * [backup-simplify]: Simplify (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) into (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) 6.656 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 6.656 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 6.656 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 6.656 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 6.656 * [taylor]: Taking taylor expansion of re in im 6.656 * [backup-simplify]: Simplify re into re 6.656 * [taylor]: Taking taylor expansion of (hypot re im) in im 6.656 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.656 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 6.656 * [taylor]: Taking taylor expansion of (* re re) in im 6.656 * [taylor]: Taking taylor expansion of re in im 6.656 * [backup-simplify]: Simplify re into re 6.656 * [taylor]: Taking taylor expansion of re in im 6.657 * [backup-simplify]: Simplify re into re 6.657 * [taylor]: Taking taylor expansion of (* im im) in im 6.657 * [taylor]: Taking taylor expansion of im in im 6.657 * [backup-simplify]: Simplify 0 into 0 6.657 * [backup-simplify]: Simplify 1 into 1 6.657 * [taylor]: Taking taylor expansion of im in im 6.657 * [backup-simplify]: Simplify 0 into 0 6.657 * [backup-simplify]: Simplify 1 into 1 6.657 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.657 * [backup-simplify]: Simplify (* 0 0) into 0 6.657 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.657 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.658 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.658 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.659 * [backup-simplify]: Simplify (+ 0 0) into 0 6.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.659 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 6.659 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 6.659 * [backup-simplify]: Simplify (+ 0 0) into 0 6.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 6.659 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.659 * [taylor]: Taking taylor expansion of 2.0 in im 6.660 * [backup-simplify]: Simplify 2.0 into 2.0 6.660 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.661 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 6.661 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 6.661 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 6.661 * [taylor]: Taking taylor expansion of re in re 6.661 * [backup-simplify]: Simplify 0 into 0 6.661 * [backup-simplify]: Simplify 1 into 1 6.661 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.661 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.661 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.661 * [taylor]: Taking taylor expansion of (* re re) in re 6.661 * [taylor]: Taking taylor expansion of re in re 6.661 * [backup-simplify]: Simplify 0 into 0 6.661 * [backup-simplify]: Simplify 1 into 1 6.661 * [taylor]: Taking taylor expansion of re in re 6.661 * [backup-simplify]: Simplify 0 into 0 6.661 * [backup-simplify]: Simplify 1 into 1 6.661 * [taylor]: Taking taylor expansion of (* im im) in re 6.661 * [taylor]: Taking taylor expansion of im in re 6.661 * [backup-simplify]: Simplify im into im 6.661 * [taylor]: Taking taylor expansion of im in re 6.661 * [backup-simplify]: Simplify im into im 6.662 * [backup-simplify]: Simplify (* 0 0) into 0 6.662 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.662 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.662 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.663 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.663 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.663 * [backup-simplify]: Simplify (+ 0 0) into 0 6.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.664 * [backup-simplify]: Simplify (+ 0 im) into im 6.664 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 6.664 * [backup-simplify]: Simplify (+ 1 0) into 1 6.664 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 6.664 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.664 * [taylor]: Taking taylor expansion of 2.0 in re 6.664 * [backup-simplify]: Simplify 2.0 into 2.0 6.665 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.666 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 6.666 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 6.666 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 6.666 * [taylor]: Taking taylor expansion of re in re 6.666 * [backup-simplify]: Simplify 0 into 0 6.666 * [backup-simplify]: Simplify 1 into 1 6.666 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.666 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.666 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.666 * [taylor]: Taking taylor expansion of (* re re) in re 6.666 * [taylor]: Taking taylor expansion of re in re 6.666 * [backup-simplify]: Simplify 0 into 0 6.666 * [backup-simplify]: Simplify 1 into 1 6.666 * [taylor]: Taking taylor expansion of re in re 6.666 * [backup-simplify]: Simplify 0 into 0 6.666 * [backup-simplify]: Simplify 1 into 1 6.666 * [taylor]: Taking taylor expansion of (* im im) in re 6.666 * [taylor]: Taking taylor expansion of im in re 6.666 * [backup-simplify]: Simplify im into im 6.666 * [taylor]: Taking taylor expansion of im in re 6.666 * [backup-simplify]: Simplify im into im 6.667 * [backup-simplify]: Simplify (* 0 0) into 0 6.667 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.667 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.667 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.668 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.668 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.668 * [backup-simplify]: Simplify (+ 0 0) into 0 6.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.668 * [backup-simplify]: Simplify (+ 0 im) into im 6.668 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 6.669 * [backup-simplify]: Simplify (+ 1 0) into 1 6.669 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 6.669 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.669 * [taylor]: Taking taylor expansion of 2.0 in re 6.669 * [backup-simplify]: Simplify 2.0 into 2.0 6.669 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.670 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im)) 6.670 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 6.670 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.670 * [taylor]: Taking taylor expansion of 2.0 in im 6.671 * [backup-simplify]: Simplify 2.0 into 2.0 6.671 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.672 * [taylor]: Taking taylor expansion of (sqrt im) in im 6.672 * [taylor]: Taking taylor expansion of im in im 6.672 * [backup-simplify]: Simplify 0 into 0 6.672 * [backup-simplify]: Simplify 1 into 1 6.672 * [backup-simplify]: Simplify (sqrt 0) into 0 6.673 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.674 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 6.674 * [backup-simplify]: Simplify 0 into 0 6.675 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 6.675 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 6.675 * [taylor]: Taking taylor expansion of 1/2 in im 6.675 * [backup-simplify]: Simplify 1/2 into 1/2 6.675 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 6.675 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.675 * [taylor]: Taking taylor expansion of 2.0 in im 6.675 * [backup-simplify]: Simplify 2.0 into 2.0 6.675 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.676 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 6.676 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.676 * [taylor]: Taking taylor expansion of im in im 6.676 * [backup-simplify]: Simplify 0 into 0 6.676 * [backup-simplify]: Simplify 1 into 1 6.677 * [backup-simplify]: Simplify (/ 1 1) into 1 6.677 * [backup-simplify]: Simplify (sqrt 0) into 0 6.678 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.680 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 6.681 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 6.685 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 6.687 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.689 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 6.691 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.692 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.693 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.693 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.694 * [backup-simplify]: Simplify (+ 1 0) into 1 6.694 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.694 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 6.695 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3)))) 6.696 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* (* 1/2 (sqrt (/ 1 im))) 0) (* (* 1/8 (sqrt (/ 1 (pow im 3)))) (sqrt 2.0)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) 6.696 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 6.696 * [taylor]: Taking taylor expansion of 1/8 in im 6.696 * [backup-simplify]: Simplify 1/8 into 1/8 6.696 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 6.696 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.696 * [taylor]: Taking taylor expansion of 2.0 in im 6.696 * [backup-simplify]: Simplify 2.0 into 2.0 6.697 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.698 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 6.698 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 6.698 * [taylor]: Taking taylor expansion of (pow im 3) in im 6.698 * [taylor]: Taking taylor expansion of im in im 6.698 * [backup-simplify]: Simplify 0 into 0 6.698 * [backup-simplify]: Simplify 1 into 1 6.698 * [backup-simplify]: Simplify (* 1 1) into 1 6.699 * [backup-simplify]: Simplify (* 1 1) into 1 6.699 * [backup-simplify]: Simplify (/ 1 1) into 1 6.699 * [backup-simplify]: Simplify (sqrt 0) into 0 6.700 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.703 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.704 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.705 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 6.706 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 6.707 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 6.710 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 6.711 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.714 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 6.714 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) into (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) 6.714 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 6.714 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 6.714 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 6.714 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 6.714 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 6.714 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.714 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 6.714 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 6.714 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.714 * [taylor]: Taking taylor expansion of re in im 6.714 * [backup-simplify]: Simplify re into re 6.714 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.714 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.714 * [taylor]: Taking taylor expansion of re in im 6.714 * [backup-simplify]: Simplify re into re 6.714 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.714 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 6.714 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.714 * [taylor]: Taking taylor expansion of im in im 6.714 * [backup-simplify]: Simplify 0 into 0 6.715 * [backup-simplify]: Simplify 1 into 1 6.715 * [backup-simplify]: Simplify (/ 1 1) into 1 6.715 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.715 * [taylor]: Taking taylor expansion of im in im 6.715 * [backup-simplify]: Simplify 0 into 0 6.715 * [backup-simplify]: Simplify 1 into 1 6.715 * [backup-simplify]: Simplify (/ 1 1) into 1 6.715 * [backup-simplify]: Simplify (* 1 1) into 1 6.716 * [backup-simplify]: Simplify (+ 0 1) into 1 6.716 * [backup-simplify]: Simplify (sqrt 1) into 1 6.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.717 * [backup-simplify]: Simplify (+ 0 0) into 0 6.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.718 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.718 * [taylor]: Taking taylor expansion of re in im 6.718 * [backup-simplify]: Simplify re into re 6.718 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.718 * [backup-simplify]: Simplify (+ 1 0) into 1 6.718 * [backup-simplify]: Simplify (sqrt 0) into 0 6.719 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.719 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.719 * [taylor]: Taking taylor expansion of 2.0 in im 6.719 * [backup-simplify]: Simplify 2.0 into 2.0 6.719 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.720 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 6.720 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 6.720 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 6.720 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.720 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.720 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.720 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.720 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.720 * [taylor]: Taking taylor expansion of re in re 6.720 * [backup-simplify]: Simplify 0 into 0 6.720 * [backup-simplify]: Simplify 1 into 1 6.720 * [backup-simplify]: Simplify (/ 1 1) into 1 6.720 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.720 * [taylor]: Taking taylor expansion of re in re 6.720 * [backup-simplify]: Simplify 0 into 0 6.720 * [backup-simplify]: Simplify 1 into 1 6.721 * [backup-simplify]: Simplify (/ 1 1) into 1 6.721 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.721 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.721 * [taylor]: Taking taylor expansion of im in re 6.721 * [backup-simplify]: Simplify im into im 6.721 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.721 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.721 * [taylor]: Taking taylor expansion of im in re 6.721 * [backup-simplify]: Simplify im into im 6.721 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.721 * [backup-simplify]: Simplify (* 1 1) into 1 6.721 * [backup-simplify]: Simplify (+ 1 0) into 1 6.722 * [backup-simplify]: Simplify (sqrt 1) into 1 6.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.723 * [backup-simplify]: Simplify (+ 0 0) into 0 6.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.723 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.723 * [taylor]: Taking taylor expansion of re in re 6.723 * [backup-simplify]: Simplify 0 into 0 6.723 * [backup-simplify]: Simplify 1 into 1 6.724 * [backup-simplify]: Simplify (/ 1 1) into 1 6.724 * [backup-simplify]: Simplify (+ 1 1) into 2 6.724 * [backup-simplify]: Simplify (sqrt 0) into 0 6.725 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 6.725 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.725 * [taylor]: Taking taylor expansion of 2.0 in re 6.725 * [backup-simplify]: Simplify 2.0 into 2.0 6.728 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.729 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 6.729 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 6.729 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 6.729 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.729 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.729 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.729 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.729 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.729 * [taylor]: Taking taylor expansion of re in re 6.729 * [backup-simplify]: Simplify 0 into 0 6.729 * [backup-simplify]: Simplify 1 into 1 6.729 * [backup-simplify]: Simplify (/ 1 1) into 1 6.729 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.729 * [taylor]: Taking taylor expansion of re in re 6.730 * [backup-simplify]: Simplify 0 into 0 6.730 * [backup-simplify]: Simplify 1 into 1 6.730 * [backup-simplify]: Simplify (/ 1 1) into 1 6.730 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.730 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.730 * [taylor]: Taking taylor expansion of im in re 6.730 * [backup-simplify]: Simplify im into im 6.730 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.730 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.730 * [taylor]: Taking taylor expansion of im in re 6.730 * [backup-simplify]: Simplify im into im 6.730 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.730 * [backup-simplify]: Simplify (* 1 1) into 1 6.730 * [backup-simplify]: Simplify (+ 1 0) into 1 6.731 * [backup-simplify]: Simplify (sqrt 1) into 1 6.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.732 * [backup-simplify]: Simplify (+ 0 0) into 0 6.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.733 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.733 * [taylor]: Taking taylor expansion of re in re 6.733 * [backup-simplify]: Simplify 0 into 0 6.733 * [backup-simplify]: Simplify 1 into 1 6.733 * [backup-simplify]: Simplify (/ 1 1) into 1 6.733 * [backup-simplify]: Simplify (+ 1 1) into 2 6.733 * [backup-simplify]: Simplify (sqrt 0) into 0 6.734 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 6.734 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.734 * [taylor]: Taking taylor expansion of 2.0 in re 6.734 * [backup-simplify]: Simplify 2.0 into 2.0 6.735 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.736 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0 6.736 * [taylor]: Taking taylor expansion of 0 in im 6.736 * [backup-simplify]: Simplify 0 into 0 6.738 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.738 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 6.738 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 6.738 * [taylor]: Taking taylor expansion of +nan.0 in im 6.738 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.738 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.738 * [taylor]: Taking taylor expansion of 2.0 in im 6.738 * [backup-simplify]: Simplify 2.0 into 2.0 6.738 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.739 * [backup-simplify]: Simplify 0 into 0 6.740 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.742 * [backup-simplify]: Simplify (+ 0 0) into 0 6.744 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.748 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 6.748 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 6.748 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 6.748 * [taylor]: Taking taylor expansion of +nan.0 in im 6.748 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.748 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.748 * [taylor]: Taking taylor expansion of 2.0 in im 6.748 * [backup-simplify]: Simplify 2.0 into 2.0 6.749 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.750 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 6.752 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.753 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.753 * [backup-simplify]: Simplify 0 into 0 6.755 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.758 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 6.758 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.759 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.760 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.761 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 6.762 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 6.762 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 6.762 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 6.762 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 6.762 * [taylor]: Taking taylor expansion of +nan.0 in im 6.762 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.762 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 6.762 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.762 * [taylor]: Taking taylor expansion of 2.0 in im 6.762 * [backup-simplify]: Simplify 2.0 into 2.0 6.763 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.763 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.763 * [taylor]: Taking taylor expansion of im in im 6.763 * [backup-simplify]: Simplify 0 into 0 6.763 * [backup-simplify]: Simplify 1 into 1 6.763 * [backup-simplify]: Simplify (* 1 1) into 1 6.764 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 6.764 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 6.764 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 6.764 * [taylor]: Taking taylor expansion of +nan.0 in im 6.764 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.764 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.764 * [taylor]: Taking taylor expansion of 2.0 in im 6.764 * [backup-simplify]: Simplify 2.0 into 2.0 6.764 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 6.766 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 6.766 * [backup-simplify]: Simplify (+ 0 0) into 0 6.767 * [backup-simplify]: Simplify (- 0) into 0 6.767 * [backup-simplify]: Simplify 0 into 0 6.767 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 6.768 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.769 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.769 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 6.770 * [backup-simplify]: Simplify (- 0) into 0 6.770 * [backup-simplify]: Simplify 0 into 0 6.770 * [backup-simplify]: Simplify 0 into 0 6.771 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 6.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 6.772 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 6.773 * [backup-simplify]: Simplify (+ 0 0) into 0 6.773 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.774 * [backup-simplify]: Simplify (+ 0 0) into 0 6.775 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 6.776 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (sqrt 2.0)))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 6.776 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 6.776 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 6.776 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 6.776 * [taylor]: Taking taylor expansion of +nan.0 in im 6.776 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.776 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 6.776 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.776 * [taylor]: Taking taylor expansion of 2.0 in im 6.776 * [backup-simplify]: Simplify 2.0 into 2.0 6.777 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.777 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.777 * [taylor]: Taking taylor expansion of im in im 6.777 * [backup-simplify]: Simplify 0 into 0 6.777 * [backup-simplify]: Simplify 1 into 1 6.777 * [backup-simplify]: Simplify (* 1 1) into 1 6.778 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 6.778 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 6.778 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 6.778 * [taylor]: Taking taylor expansion of +nan.0 in im 6.778 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.778 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.778 * [taylor]: Taking taylor expansion of 2.0 in im 6.778 * [backup-simplify]: Simplify 2.0 into 2.0 6.778 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 6.780 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 6.780 * [backup-simplify]: Simplify (+ 0 0) into 0 6.781 * [backup-simplify]: Simplify (- 0) into 0 6.781 * [backup-simplify]: Simplify 0 into 0 6.782 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.784 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 6.784 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 6.785 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.786 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 6.789 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 6.790 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.796 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 6.796 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) 6.796 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 6.796 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 6.796 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.796 * [taylor]: Taking taylor expansion of 2.0 in im 6.797 * [backup-simplify]: Simplify 2.0 into 2.0 6.797 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.798 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 6.798 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 6.798 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 6.798 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.798 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 6.798 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 6.798 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.798 * [taylor]: Taking taylor expansion of -1 in im 6.798 * [backup-simplify]: Simplify -1 into -1 6.798 * [taylor]: Taking taylor expansion of re in im 6.798 * [backup-simplify]: Simplify re into re 6.798 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 6.798 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.798 * [taylor]: Taking taylor expansion of -1 in im 6.798 * [backup-simplify]: Simplify -1 into -1 6.798 * [taylor]: Taking taylor expansion of re in im 6.798 * [backup-simplify]: Simplify re into re 6.798 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 6.798 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 6.798 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.798 * [taylor]: Taking taylor expansion of -1 in im 6.798 * [backup-simplify]: Simplify -1 into -1 6.798 * [taylor]: Taking taylor expansion of im in im 6.798 * [backup-simplify]: Simplify 0 into 0 6.798 * [backup-simplify]: Simplify 1 into 1 6.799 * [backup-simplify]: Simplify (/ -1 1) into -1 6.799 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.799 * [taylor]: Taking taylor expansion of -1 in im 6.799 * [backup-simplify]: Simplify -1 into -1 6.799 * [taylor]: Taking taylor expansion of im in im 6.799 * [backup-simplify]: Simplify 0 into 0 6.799 * [backup-simplify]: Simplify 1 into 1 6.799 * [backup-simplify]: Simplify (/ -1 1) into -1 6.800 * [backup-simplify]: Simplify (* -1 -1) into 1 6.801 * [backup-simplify]: Simplify (+ 0 1) into 1 6.801 * [backup-simplify]: Simplify (sqrt 1) into 1 6.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.803 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.804 * [backup-simplify]: Simplify (+ 0 0) into 0 6.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.804 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.804 * [taylor]: Taking taylor expansion of re in im 6.804 * [backup-simplify]: Simplify re into re 6.805 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.805 * [backup-simplify]: Simplify (+ 1 0) into 1 6.805 * [backup-simplify]: Simplify (sqrt 0) into 0 6.807 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.807 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 6.807 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.807 * [taylor]: Taking taylor expansion of 2.0 in re 6.807 * [backup-simplify]: Simplify 2.0 into 2.0 6.807 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.808 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 6.808 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 6.808 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.808 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.808 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.808 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.808 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.808 * [taylor]: Taking taylor expansion of -1 in re 6.808 * [backup-simplify]: Simplify -1 into -1 6.808 * [taylor]: Taking taylor expansion of re in re 6.808 * [backup-simplify]: Simplify 0 into 0 6.808 * [backup-simplify]: Simplify 1 into 1 6.809 * [backup-simplify]: Simplify (/ -1 1) into -1 6.809 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.809 * [taylor]: Taking taylor expansion of -1 in re 6.809 * [backup-simplify]: Simplify -1 into -1 6.809 * [taylor]: Taking taylor expansion of re in re 6.809 * [backup-simplify]: Simplify 0 into 0 6.809 * [backup-simplify]: Simplify 1 into 1 6.809 * [backup-simplify]: Simplify (/ -1 1) into -1 6.809 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.809 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.809 * [taylor]: Taking taylor expansion of -1 in re 6.809 * [backup-simplify]: Simplify -1 into -1 6.809 * [taylor]: Taking taylor expansion of im in re 6.810 * [backup-simplify]: Simplify im into im 6.810 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.810 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.810 * [taylor]: Taking taylor expansion of -1 in re 6.810 * [backup-simplify]: Simplify -1 into -1 6.810 * [taylor]: Taking taylor expansion of im in re 6.810 * [backup-simplify]: Simplify im into im 6.810 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.810 * [backup-simplify]: Simplify (* -1 -1) into 1 6.810 * [backup-simplify]: Simplify (+ 1 0) into 1 6.811 * [backup-simplify]: Simplify (sqrt 1) into 1 6.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.813 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.813 * [backup-simplify]: Simplify (+ 0 0) into 0 6.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.814 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.814 * [taylor]: Taking taylor expansion of re in re 6.814 * [backup-simplify]: Simplify 0 into 0 6.814 * [backup-simplify]: Simplify 1 into 1 6.814 * [backup-simplify]: Simplify (/ 1 1) into 1 6.815 * [backup-simplify]: Simplify (- 1) into -1 6.815 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.816 * [backup-simplify]: Simplify (- 0) into 0 6.817 * [backup-simplify]: Simplify (+ 0 0) into 0 6.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.820 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 6.821 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 6.821 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.823 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.824 * [backup-simplify]: Simplify (- 0) into 0 6.825 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.825 * [backup-simplify]: Simplify (sqrt 0) into 0 6.826 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 6.826 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 6.826 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.826 * [taylor]: Taking taylor expansion of 2.0 in re 6.826 * [backup-simplify]: Simplify 2.0 into 2.0 6.826 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.827 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 6.827 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 6.827 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.827 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.828 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.828 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.828 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.828 * [taylor]: Taking taylor expansion of -1 in re 6.828 * [backup-simplify]: Simplify -1 into -1 6.828 * [taylor]: Taking taylor expansion of re in re 6.828 * [backup-simplify]: Simplify 0 into 0 6.828 * [backup-simplify]: Simplify 1 into 1 6.828 * [backup-simplify]: Simplify (/ -1 1) into -1 6.828 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.828 * [taylor]: Taking taylor expansion of -1 in re 6.828 * [backup-simplify]: Simplify -1 into -1 6.828 * [taylor]: Taking taylor expansion of re in re 6.828 * [backup-simplify]: Simplify 0 into 0 6.828 * [backup-simplify]: Simplify 1 into 1 6.829 * [backup-simplify]: Simplify (/ -1 1) into -1 6.829 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.829 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.829 * [taylor]: Taking taylor expansion of -1 in re 6.829 * [backup-simplify]: Simplify -1 into -1 6.829 * [taylor]: Taking taylor expansion of im in re 6.829 * [backup-simplify]: Simplify im into im 6.829 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.830 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.830 * [taylor]: Taking taylor expansion of -1 in re 6.830 * [backup-simplify]: Simplify -1 into -1 6.830 * [taylor]: Taking taylor expansion of im in re 6.830 * [backup-simplify]: Simplify im into im 6.830 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.830 * [backup-simplify]: Simplify (* -1 -1) into 1 6.831 * [backup-simplify]: Simplify (+ 1 0) into 1 6.831 * [backup-simplify]: Simplify (sqrt 1) into 1 6.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.834 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.834 * [backup-simplify]: Simplify (+ 0 0) into 0 6.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.835 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.835 * [taylor]: Taking taylor expansion of re in re 6.835 * [backup-simplify]: Simplify 0 into 0 6.835 * [backup-simplify]: Simplify 1 into 1 6.836 * [backup-simplify]: Simplify (/ 1 1) into 1 6.836 * [backup-simplify]: Simplify (- 1) into -1 6.836 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.837 * [backup-simplify]: Simplify (- 0) into 0 6.838 * [backup-simplify]: Simplify (+ 0 0) into 0 6.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.841 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 6.841 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 6.841 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.842 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.844 * [backup-simplify]: Simplify (- 0) into 0 6.844 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.844 * [backup-simplify]: Simplify (sqrt 0) into 0 6.845 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 6.846 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 6.846 * [taylor]: Taking taylor expansion of 0 in im 6.846 * [backup-simplify]: Simplify 0 into 0 6.847 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 6.847 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 6.847 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 6.847 * [taylor]: Taking taylor expansion of +nan.0 in im 6.847 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.847 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 6.847 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.847 * [taylor]: Taking taylor expansion of 2.0 in im 6.847 * [backup-simplify]: Simplify 2.0 into 2.0 6.847 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.848 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.848 * [taylor]: Taking taylor expansion of im in im 6.848 * [backup-simplify]: Simplify 0 into 0 6.848 * [backup-simplify]: Simplify 1 into 1 6.849 * [backup-simplify]: Simplify (* 1 1) into 1 6.849 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 6.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 6.852 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 6.857 * [backup-simplify]: Simplify (- 0) into 0 6.857 * [backup-simplify]: Simplify 0 into 0 6.857 * [backup-simplify]: Simplify 0 into 0 6.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.861 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 6.861 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 6.861 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 6.861 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 6.862 * [backup-simplify]: Simplify (+ 0 0) into 0 6.862 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.864 * [backup-simplify]: Simplify (- 0) into 0 6.864 * [backup-simplify]: Simplify (+ 0 0) into 0 6.865 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 6.866 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.868 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 6.868 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 6.868 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 6.868 * [taylor]: Taking taylor expansion of +nan.0 in im 6.868 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.868 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 6.868 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.868 * [taylor]: Taking taylor expansion of 2.0 in im 6.868 * [backup-simplify]: Simplify 2.0 into 2.0 6.868 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.869 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.869 * [taylor]: Taking taylor expansion of im in im 6.869 * [backup-simplify]: Simplify 0 into 0 6.869 * [backup-simplify]: Simplify 1 into 1 6.869 * [backup-simplify]: Simplify (* 1 1) into 1 6.870 * [backup-simplify]: Simplify (* 1 1) into 1 6.871 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 6.872 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 6.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.883 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 6.884 * [backup-simplify]: Simplify (- 0) into 0 6.884 * [backup-simplify]: Simplify 0 into 0 6.885 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.888 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 6.889 * [backup-simplify]: Simplify (- 0) into 0 6.889 * [backup-simplify]: Simplify 0 into 0 6.889 * [backup-simplify]: Simplify 0 into 0 6.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.892 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 6.893 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 6.893 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 6.893 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 6.894 * [backup-simplify]: Simplify (+ 0 0) into 0 6.895 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 6.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.897 * [backup-simplify]: Simplify (- 0) into 0 6.897 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 6.898 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) 6.899 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.901 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 6.901 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 6.901 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 6.902 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 6.902 * [taylor]: Taking taylor expansion of +nan.0 in im 6.902 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.902 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 6.902 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.902 * [taylor]: Taking taylor expansion of 2.0 in im 6.902 * [backup-simplify]: Simplify 2.0 into 2.0 6.902 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.903 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.903 * [taylor]: Taking taylor expansion of im in im 6.903 * [backup-simplify]: Simplify 0 into 0 6.903 * [backup-simplify]: Simplify 1 into 1 6.904 * [backup-simplify]: Simplify (* 1 1) into 1 6.904 * [backup-simplify]: Simplify (* 1 1) into 1 6.905 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 6.905 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 6.905 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 6.905 * [taylor]: Taking taylor expansion of +nan.0 in im 6.905 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.905 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 6.905 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.905 * [taylor]: Taking taylor expansion of 2.0 in im 6.905 * [backup-simplify]: Simplify 2.0 into 2.0 6.906 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.907 * [taylor]: Taking taylor expansion of (pow im 6) in im 6.907 * [taylor]: Taking taylor expansion of im in im 6.907 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify 1 into 1 6.907 * [backup-simplify]: Simplify (* 1 1) into 1 6.908 * [backup-simplify]: Simplify (* 1 1) into 1 6.908 * [backup-simplify]: Simplify (* 1 1) into 1 6.909 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 6.910 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.911 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 6.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.922 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 6.923 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.924 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.926 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.927 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 6.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.951 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 6.952 * [backup-simplify]: Simplify (- 0) into 0 6.952 * [backup-simplify]: Simplify (+ 0 0) into 0 6.952 * [backup-simplify]: Simplify (- 0) into 0 6.952 * [backup-simplify]: Simplify 0 into 0 6.952 * [backup-simplify]: Simplify 0 into 0 6.953 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 6.953 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 6.953 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 6.953 * [taylor]: Taking taylor expansion of (hypot re im) in im 6.953 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.953 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 6.953 * [taylor]: Taking taylor expansion of (* re re) in im 6.953 * [taylor]: Taking taylor expansion of re in im 6.953 * [backup-simplify]: Simplify re into re 6.953 * [taylor]: Taking taylor expansion of re in im 6.953 * [backup-simplify]: Simplify re into re 6.953 * [taylor]: Taking taylor expansion of (* im im) in im 6.953 * [taylor]: Taking taylor expansion of im in im 6.953 * [backup-simplify]: Simplify 0 into 0 6.953 * [backup-simplify]: Simplify 1 into 1 6.953 * [taylor]: Taking taylor expansion of im in im 6.953 * [backup-simplify]: Simplify 0 into 0 6.953 * [backup-simplify]: Simplify 1 into 1 6.953 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.954 * [backup-simplify]: Simplify (* 0 0) into 0 6.954 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.954 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.954 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.955 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.955 * [backup-simplify]: Simplify (+ 0 0) into 0 6.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.955 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.956 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.956 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.956 * [taylor]: Taking taylor expansion of (* re re) in re 6.956 * [taylor]: Taking taylor expansion of re in re 6.956 * [backup-simplify]: Simplify 0 into 0 6.956 * [backup-simplify]: Simplify 1 into 1 6.956 * [taylor]: Taking taylor expansion of re in re 6.956 * [backup-simplify]: Simplify 0 into 0 6.956 * [backup-simplify]: Simplify 1 into 1 6.956 * [taylor]: Taking taylor expansion of (* im im) in re 6.956 * [taylor]: Taking taylor expansion of im in re 6.956 * [backup-simplify]: Simplify im into im 6.956 * [taylor]: Taking taylor expansion of im in re 6.956 * [backup-simplify]: Simplify im into im 6.956 * [backup-simplify]: Simplify (* 0 0) into 0 6.957 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.957 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.957 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.958 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.958 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.958 * [backup-simplify]: Simplify (+ 0 0) into 0 6.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.958 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.958 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.958 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.958 * [taylor]: Taking taylor expansion of (* re re) in re 6.959 * [taylor]: Taking taylor expansion of re in re 6.959 * [backup-simplify]: Simplify 0 into 0 6.959 * [backup-simplify]: Simplify 1 into 1 6.959 * [taylor]: Taking taylor expansion of re in re 6.959 * [backup-simplify]: Simplify 0 into 0 6.959 * [backup-simplify]: Simplify 1 into 1 6.959 * [taylor]: Taking taylor expansion of (* im im) in re 6.959 * [taylor]: Taking taylor expansion of im in re 6.959 * [backup-simplify]: Simplify im into im 6.959 * [taylor]: Taking taylor expansion of im in re 6.959 * [backup-simplify]: Simplify im into im 6.959 * [backup-simplify]: Simplify (* 0 0) into 0 6.959 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.959 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.960 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.960 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.960 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.961 * [backup-simplify]: Simplify (+ 0 0) into 0 6.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.961 * [taylor]: Taking taylor expansion of im in im 6.961 * [backup-simplify]: Simplify 0 into 0 6.961 * [backup-simplify]: Simplify 1 into 1 6.961 * [backup-simplify]: Simplify 0 into 0 6.961 * [taylor]: Taking taylor expansion of 0 in im 6.961 * [backup-simplify]: Simplify 0 into 0 6.961 * [backup-simplify]: Simplify 0 into 0 6.961 * [backup-simplify]: Simplify 1 into 1 6.962 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.963 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.963 * [backup-simplify]: Simplify (+ 1 0) into 1 6.964 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.964 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.964 * [taylor]: Taking taylor expansion of 1/2 in im 6.964 * [backup-simplify]: Simplify 1/2 into 1/2 6.964 * [taylor]: Taking taylor expansion of im in im 6.964 * [backup-simplify]: Simplify 0 into 0 6.964 * [backup-simplify]: Simplify 1 into 1 6.965 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.966 * [backup-simplify]: Simplify 0 into 0 6.966 * [backup-simplify]: Simplify 0 into 0 6.966 * [backup-simplify]: Simplify 0 into 0 6.967 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.968 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.968 * [backup-simplify]: Simplify (+ 0 0) into 0 6.968 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.968 * [taylor]: Taking taylor expansion of 0 in im 6.968 * [backup-simplify]: Simplify 0 into 0 6.968 * [backup-simplify]: Simplify 0 into 0 6.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.970 * [backup-simplify]: Simplify 0 into 0 6.970 * [backup-simplify]: Simplify 0 into 0 6.970 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.970 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 6.970 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 6.970 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 6.970 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.970 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 6.970 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 6.970 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.970 * [taylor]: Taking taylor expansion of re in im 6.970 * [backup-simplify]: Simplify re into re 6.970 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.970 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.970 * [taylor]: Taking taylor expansion of re in im 6.970 * [backup-simplify]: Simplify re into re 6.971 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.971 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 6.971 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.971 * [taylor]: Taking taylor expansion of im in im 6.971 * [backup-simplify]: Simplify 0 into 0 6.971 * [backup-simplify]: Simplify 1 into 1 6.971 * [backup-simplify]: Simplify (/ 1 1) into 1 6.971 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.971 * [taylor]: Taking taylor expansion of im in im 6.971 * [backup-simplify]: Simplify 0 into 0 6.971 * [backup-simplify]: Simplify 1 into 1 6.972 * [backup-simplify]: Simplify (/ 1 1) into 1 6.972 * [backup-simplify]: Simplify (* 1 1) into 1 6.973 * [backup-simplify]: Simplify (+ 0 1) into 1 6.973 * [backup-simplify]: Simplify (sqrt 1) into 1 6.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.976 * [backup-simplify]: Simplify (+ 0 0) into 0 6.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.977 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.977 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.977 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.977 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.977 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.977 * [taylor]: Taking taylor expansion of re in re 6.977 * [backup-simplify]: Simplify 0 into 0 6.977 * [backup-simplify]: Simplify 1 into 1 6.977 * [backup-simplify]: Simplify (/ 1 1) into 1 6.978 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.978 * [taylor]: Taking taylor expansion of re in re 6.978 * [backup-simplify]: Simplify 0 into 0 6.978 * [backup-simplify]: Simplify 1 into 1 6.978 * [backup-simplify]: Simplify (/ 1 1) into 1 6.978 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.978 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.978 * [taylor]: Taking taylor expansion of im in re 6.978 * [backup-simplify]: Simplify im into im 6.978 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.978 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.978 * [taylor]: Taking taylor expansion of im in re 6.978 * [backup-simplify]: Simplify im into im 6.978 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.979 * [backup-simplify]: Simplify (* 1 1) into 1 6.979 * [backup-simplify]: Simplify (+ 1 0) into 1 6.979 * [backup-simplify]: Simplify (sqrt 1) into 1 6.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.982 * [backup-simplify]: Simplify (+ 0 0) into 0 6.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.982 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.982 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.982 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.982 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.983 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.983 * [taylor]: Taking taylor expansion of re in re 6.983 * [backup-simplify]: Simplify 0 into 0 6.983 * [backup-simplify]: Simplify 1 into 1 6.983 * [backup-simplify]: Simplify (/ 1 1) into 1 6.983 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.983 * [taylor]: Taking taylor expansion of re in re 6.983 * [backup-simplify]: Simplify 0 into 0 6.983 * [backup-simplify]: Simplify 1 into 1 6.983 * [backup-simplify]: Simplify (/ 1 1) into 1 6.983 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.983 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.983 * [taylor]: Taking taylor expansion of im in re 6.984 * [backup-simplify]: Simplify im into im 6.984 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.984 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.984 * [taylor]: Taking taylor expansion of im in re 6.984 * [backup-simplify]: Simplify im into im 6.984 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.984 * [backup-simplify]: Simplify (* 1 1) into 1 6.984 * [backup-simplify]: Simplify (+ 1 0) into 1 6.985 * [backup-simplify]: Simplify (sqrt 1) into 1 6.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.987 * [backup-simplify]: Simplify (+ 0 0) into 0 6.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.988 * [taylor]: Taking taylor expansion of 1 in im 6.988 * [backup-simplify]: Simplify 1 into 1 6.988 * [taylor]: Taking taylor expansion of 0 in im 6.988 * [backup-simplify]: Simplify 0 into 0 6.988 * [backup-simplify]: Simplify 1 into 1 6.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.990 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 6.991 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.992 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.992 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.992 * [taylor]: Taking taylor expansion of 1/2 in im 6.992 * [backup-simplify]: Simplify 1/2 into 1/2 6.992 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.992 * [taylor]: Taking taylor expansion of im in im 6.992 * [backup-simplify]: Simplify 0 into 0 6.992 * [backup-simplify]: Simplify 1 into 1 6.992 * [backup-simplify]: Simplify (* 1 1) into 1 6.993 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.994 * [backup-simplify]: Simplify 0 into 0 6.994 * [backup-simplify]: Simplify 0 into 0 6.994 * [backup-simplify]: Simplify 0 into 0 6.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 6.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 6.997 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 6.997 * [backup-simplify]: Simplify (+ 0 0) into 0 6.998 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.998 * [taylor]: Taking taylor expansion of 0 in im 6.998 * [backup-simplify]: Simplify 0 into 0 6.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.000 * [backup-simplify]: Simplify 0 into 0 7.000 * [backup-simplify]: Simplify 0 into 0 7.000 * [backup-simplify]: Simplify 0 into 0 7.000 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 7.000 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 7.000 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 7.000 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 7.000 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.001 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 7.001 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 7.001 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.001 * [taylor]: Taking taylor expansion of -1 in im 7.001 * [backup-simplify]: Simplify -1 into -1 7.001 * [taylor]: Taking taylor expansion of re in im 7.001 * [backup-simplify]: Simplify re into re 7.001 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 7.001 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.001 * [taylor]: Taking taylor expansion of -1 in im 7.001 * [backup-simplify]: Simplify -1 into -1 7.001 * [taylor]: Taking taylor expansion of re in im 7.001 * [backup-simplify]: Simplify re into re 7.001 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 7.001 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 7.001 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.001 * [taylor]: Taking taylor expansion of -1 in im 7.001 * [backup-simplify]: Simplify -1 into -1 7.001 * [taylor]: Taking taylor expansion of im in im 7.001 * [backup-simplify]: Simplify 0 into 0 7.001 * [backup-simplify]: Simplify 1 into 1 7.001 * [backup-simplify]: Simplify (/ -1 1) into -1 7.002 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.002 * [taylor]: Taking taylor expansion of -1 in im 7.002 * [backup-simplify]: Simplify -1 into -1 7.002 * [taylor]: Taking taylor expansion of im in im 7.002 * [backup-simplify]: Simplify 0 into 0 7.002 * [backup-simplify]: Simplify 1 into 1 7.002 * [backup-simplify]: Simplify (/ -1 1) into -1 7.002 * [backup-simplify]: Simplify (* -1 -1) into 1 7.003 * [backup-simplify]: Simplify (+ 0 1) into 1 7.004 * [backup-simplify]: Simplify (sqrt 1) into 1 7.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.006 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.006 * [backup-simplify]: Simplify (+ 0 0) into 0 7.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.007 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 7.007 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.007 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 7.007 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 7.007 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.007 * [taylor]: Taking taylor expansion of -1 in re 7.007 * [backup-simplify]: Simplify -1 into -1 7.007 * [taylor]: Taking taylor expansion of re in re 7.007 * [backup-simplify]: Simplify 0 into 0 7.007 * [backup-simplify]: Simplify 1 into 1 7.008 * [backup-simplify]: Simplify (/ -1 1) into -1 7.008 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.008 * [taylor]: Taking taylor expansion of -1 in re 7.008 * [backup-simplify]: Simplify -1 into -1 7.008 * [taylor]: Taking taylor expansion of re in re 7.008 * [backup-simplify]: Simplify 0 into 0 7.008 * [backup-simplify]: Simplify 1 into 1 7.008 * [backup-simplify]: Simplify (/ -1 1) into -1 7.008 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 7.008 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.008 * [taylor]: Taking taylor expansion of -1 in re 7.008 * [backup-simplify]: Simplify -1 into -1 7.008 * [taylor]: Taking taylor expansion of im in re 7.008 * [backup-simplify]: Simplify im into im 7.008 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.008 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.008 * [taylor]: Taking taylor expansion of -1 in re 7.008 * [backup-simplify]: Simplify -1 into -1 7.008 * [taylor]: Taking taylor expansion of im in re 7.008 * [backup-simplify]: Simplify im into im 7.008 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.009 * [backup-simplify]: Simplify (* -1 -1) into 1 7.009 * [backup-simplify]: Simplify (+ 1 0) into 1 7.010 * [backup-simplify]: Simplify (sqrt 1) into 1 7.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.017 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.017 * [backup-simplify]: Simplify (+ 0 0) into 0 7.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.018 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 7.018 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.018 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 7.018 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 7.018 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.018 * [taylor]: Taking taylor expansion of -1 in re 7.018 * [backup-simplify]: Simplify -1 into -1 7.018 * [taylor]: Taking taylor expansion of re in re 7.018 * [backup-simplify]: Simplify 0 into 0 7.018 * [backup-simplify]: Simplify 1 into 1 7.019 * [backup-simplify]: Simplify (/ -1 1) into -1 7.019 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.019 * [taylor]: Taking taylor expansion of -1 in re 7.019 * [backup-simplify]: Simplify -1 into -1 7.019 * [taylor]: Taking taylor expansion of re in re 7.019 * [backup-simplify]: Simplify 0 into 0 7.019 * [backup-simplify]: Simplify 1 into 1 7.019 * [backup-simplify]: Simplify (/ -1 1) into -1 7.020 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 7.020 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.020 * [taylor]: Taking taylor expansion of -1 in re 7.020 * [backup-simplify]: Simplify -1 into -1 7.020 * [taylor]: Taking taylor expansion of im in re 7.020 * [backup-simplify]: Simplify im into im 7.020 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.020 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.020 * [taylor]: Taking taylor expansion of -1 in re 7.020 * [backup-simplify]: Simplify -1 into -1 7.020 * [taylor]: Taking taylor expansion of im in re 7.020 * [backup-simplify]: Simplify im into im 7.020 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.020 * [backup-simplify]: Simplify (* -1 -1) into 1 7.021 * [backup-simplify]: Simplify (+ 1 0) into 1 7.021 * [backup-simplify]: Simplify (sqrt 1) into 1 7.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.023 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.024 * [backup-simplify]: Simplify (+ 0 0) into 0 7.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.025 * [taylor]: Taking taylor expansion of 1 in im 7.025 * [backup-simplify]: Simplify 1 into 1 7.025 * [taylor]: Taking taylor expansion of 0 in im 7.025 * [backup-simplify]: Simplify 0 into 0 7.025 * [backup-simplify]: Simplify 1 into 1 7.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.028 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 7.028 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 7.028 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.030 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.030 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.030 * [taylor]: Taking taylor expansion of 1/2 in im 7.030 * [backup-simplify]: Simplify 1/2 into 1/2 7.030 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.030 * [taylor]: Taking taylor expansion of im in im 7.030 * [backup-simplify]: Simplify 0 into 0 7.030 * [backup-simplify]: Simplify 1 into 1 7.030 * [backup-simplify]: Simplify (* 1 1) into 1 7.031 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.032 * [backup-simplify]: Simplify 0 into 0 7.032 * [backup-simplify]: Simplify 0 into 0 7.032 * [backup-simplify]: Simplify 0 into 0 7.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.035 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 7.035 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 7.035 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 7.036 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 7.036 * [backup-simplify]: Simplify (+ 0 0) into 0 7.037 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.037 * [taylor]: Taking taylor expansion of 0 in im 7.037 * [backup-simplify]: Simplify 0 into 0 7.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.038 * [backup-simplify]: Simplify 0 into 0 7.038 * [backup-simplify]: Simplify 0 into 0 7.038 * [backup-simplify]: Simplify 0 into 0 7.039 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 7.039 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 7.039 * [backup-simplify]: Simplify (sqrt (+ re (hypot re im))) into (sqrt (+ re (hypot re im))) 7.039 * [approximate]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in (re im) around 0 7.039 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 7.039 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 7.039 * [taylor]: Taking taylor expansion of re in im 7.039 * [backup-simplify]: Simplify re into re 7.039 * [taylor]: Taking taylor expansion of (hypot re im) in im 7.039 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.039 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 7.039 * [taylor]: Taking taylor expansion of (* re re) in im 7.039 * [taylor]: Taking taylor expansion of re in im 7.039 * [backup-simplify]: Simplify re into re 7.039 * [taylor]: Taking taylor expansion of re in im 7.039 * [backup-simplify]: Simplify re into re 7.039 * [taylor]: Taking taylor expansion of (* im im) in im 7.039 * [taylor]: Taking taylor expansion of im in im 7.039 * [backup-simplify]: Simplify 0 into 0 7.039 * [backup-simplify]: Simplify 1 into 1 7.039 * [taylor]: Taking taylor expansion of im in im 7.039 * [backup-simplify]: Simplify 0 into 0 7.039 * [backup-simplify]: Simplify 1 into 1 7.039 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.040 * [backup-simplify]: Simplify (* 0 0) into 0 7.040 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.040 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.040 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.041 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.041 * [backup-simplify]: Simplify (+ 0 0) into 0 7.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.041 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 7.041 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 7.042 * [backup-simplify]: Simplify (+ 0 0) into 0 7.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 7.042 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 7.042 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 7.042 * [taylor]: Taking taylor expansion of re in re 7.042 * [backup-simplify]: Simplify 0 into 0 7.042 * [backup-simplify]: Simplify 1 into 1 7.042 * [taylor]: Taking taylor expansion of (hypot re im) in re 7.042 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.042 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 7.042 * [taylor]: Taking taylor expansion of (* re re) in re 7.042 * [taylor]: Taking taylor expansion of re in re 7.042 * [backup-simplify]: Simplify 0 into 0 7.042 * [backup-simplify]: Simplify 1 into 1 7.042 * [taylor]: Taking taylor expansion of re in re 7.042 * [backup-simplify]: Simplify 0 into 0 7.042 * [backup-simplify]: Simplify 1 into 1 7.042 * [taylor]: Taking taylor expansion of (* im im) in re 7.042 * [taylor]: Taking taylor expansion of im in re 7.042 * [backup-simplify]: Simplify im into im 7.042 * [taylor]: Taking taylor expansion of im in re 7.042 * [backup-simplify]: Simplify im into im 7.043 * [backup-simplify]: Simplify (* 0 0) into 0 7.043 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.043 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.043 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.044 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.044 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.044 * [backup-simplify]: Simplify (+ 0 0) into 0 7.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.044 * [backup-simplify]: Simplify (+ 0 im) into im 7.044 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 7.045 * [backup-simplify]: Simplify (+ 1 0) into 1 7.045 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 7.045 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 7.045 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 7.045 * [taylor]: Taking taylor expansion of re in re 7.045 * [backup-simplify]: Simplify 0 into 0 7.045 * [backup-simplify]: Simplify 1 into 1 7.045 * [taylor]: Taking taylor expansion of (hypot re im) in re 7.045 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.045 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 7.045 * [taylor]: Taking taylor expansion of (* re re) in re 7.045 * [taylor]: Taking taylor expansion of re in re 7.045 * [backup-simplify]: Simplify 0 into 0 7.045 * [backup-simplify]: Simplify 1 into 1 7.045 * [taylor]: Taking taylor expansion of re in re 7.045 * [backup-simplify]: Simplify 0 into 0 7.045 * [backup-simplify]: Simplify 1 into 1 7.045 * [taylor]: Taking taylor expansion of (* im im) in re 7.045 * [taylor]: Taking taylor expansion of im in re 7.045 * [backup-simplify]: Simplify im into im 7.045 * [taylor]: Taking taylor expansion of im in re 7.045 * [backup-simplify]: Simplify im into im 7.046 * [backup-simplify]: Simplify (* 0 0) into 0 7.046 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.046 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.046 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.047 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.047 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.047 * [backup-simplify]: Simplify (+ 0 0) into 0 7.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.047 * [backup-simplify]: Simplify (+ 0 im) into im 7.047 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 7.048 * [backup-simplify]: Simplify (+ 1 0) into 1 7.048 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 7.048 * [taylor]: Taking taylor expansion of (sqrt im) in im 7.048 * [taylor]: Taking taylor expansion of im in im 7.048 * [backup-simplify]: Simplify 0 into 0 7.048 * [backup-simplify]: Simplify 1 into 1 7.048 * [backup-simplify]: Simplify (sqrt 0) into 0 7.050 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.050 * [backup-simplify]: Simplify 0 into 0 7.050 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im 7.050 * [taylor]: Taking taylor expansion of 1/2 in im 7.050 * [backup-simplify]: Simplify 1/2 into 1/2 7.050 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 7.050 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.050 * [taylor]: Taking taylor expansion of im in im 7.050 * [backup-simplify]: Simplify 0 into 0 7.050 * [backup-simplify]: Simplify 1 into 1 7.050 * [backup-simplify]: Simplify (/ 1 1) into 1 7.051 * [backup-simplify]: Simplify (sqrt 0) into 0 7.052 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.053 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 7.054 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.054 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.055 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.055 * [backup-simplify]: Simplify (+ 1 0) into 1 7.056 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.056 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 7.057 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3)))) 7.057 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im 7.057 * [taylor]: Taking taylor expansion of 1/8 in im 7.057 * [backup-simplify]: Simplify 1/8 into 1/8 7.057 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 7.057 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 7.057 * [taylor]: Taking taylor expansion of (pow im 3) in im 7.057 * [taylor]: Taking taylor expansion of im in im 7.057 * [backup-simplify]: Simplify 0 into 0 7.057 * [backup-simplify]: Simplify 1 into 1 7.057 * [backup-simplify]: Simplify (* 1 1) into 1 7.058 * [backup-simplify]: Simplify (* 1 1) into 1 7.058 * [backup-simplify]: Simplify (/ 1 1) into 1 7.058 * [backup-simplify]: Simplify (sqrt 0) into 0 7.059 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.064 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.066 * [backup-simplify]: Simplify (+ (* 1/8 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 7.066 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.068 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 re) 2)) (+ (* +nan.0 (* im 1)) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 re)))))) 7.068 * [backup-simplify]: Simplify (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) into (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) 7.068 * [approximate]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in (re im) around 0 7.068 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 7.068 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 7.068 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 7.068 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.068 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 7.068 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 7.068 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.068 * [taylor]: Taking taylor expansion of re in im 7.068 * [backup-simplify]: Simplify re into re 7.068 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.068 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.068 * [taylor]: Taking taylor expansion of re in im 7.068 * [backup-simplify]: Simplify re into re 7.068 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.068 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 7.069 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.069 * [taylor]: Taking taylor expansion of im in im 7.069 * [backup-simplify]: Simplify 0 into 0 7.069 * [backup-simplify]: Simplify 1 into 1 7.069 * [backup-simplify]: Simplify (/ 1 1) into 1 7.069 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.069 * [taylor]: Taking taylor expansion of im in im 7.069 * [backup-simplify]: Simplify 0 into 0 7.069 * [backup-simplify]: Simplify 1 into 1 7.069 * [backup-simplify]: Simplify (/ 1 1) into 1 7.070 * [backup-simplify]: Simplify (* 1 1) into 1 7.070 * [backup-simplify]: Simplify (+ 0 1) into 1 7.070 * [backup-simplify]: Simplify (sqrt 1) into 1 7.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.073 * [backup-simplify]: Simplify (+ 0 0) into 0 7.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.073 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.073 * [taylor]: Taking taylor expansion of re in im 7.073 * [backup-simplify]: Simplify re into re 7.074 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.074 * [backup-simplify]: Simplify (+ 1 0) into 1 7.074 * [backup-simplify]: Simplify (sqrt 0) into 0 7.076 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.076 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 7.076 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 7.076 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 7.076 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.076 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 7.076 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 7.076 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.076 * [taylor]: Taking taylor expansion of re in re 7.076 * [backup-simplify]: Simplify 0 into 0 7.076 * [backup-simplify]: Simplify 1 into 1 7.077 * [backup-simplify]: Simplify (/ 1 1) into 1 7.077 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.077 * [taylor]: Taking taylor expansion of re in re 7.077 * [backup-simplify]: Simplify 0 into 0 7.077 * [backup-simplify]: Simplify 1 into 1 7.077 * [backup-simplify]: Simplify (/ 1 1) into 1 7.077 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 7.077 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.077 * [taylor]: Taking taylor expansion of im in re 7.077 * [backup-simplify]: Simplify im into im 7.077 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.077 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.077 * [taylor]: Taking taylor expansion of im in re 7.077 * [backup-simplify]: Simplify im into im 7.078 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.078 * [backup-simplify]: Simplify (* 1 1) into 1 7.078 * [backup-simplify]: Simplify (+ 1 0) into 1 7.079 * [backup-simplify]: Simplify (sqrt 1) into 1 7.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.081 * [backup-simplify]: Simplify (+ 0 0) into 0 7.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.082 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.082 * [taylor]: Taking taylor expansion of re in re 7.082 * [backup-simplify]: Simplify 0 into 0 7.082 * [backup-simplify]: Simplify 1 into 1 7.083 * [backup-simplify]: Simplify (/ 1 1) into 1 7.083 * [backup-simplify]: Simplify (+ 1 1) into 2 7.083 * [backup-simplify]: Simplify (sqrt 0) into 0 7.084 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 7.084 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 7.084 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 7.084 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 7.084 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.084 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 7.084 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 7.084 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.084 * [taylor]: Taking taylor expansion of re in re 7.084 * [backup-simplify]: Simplify 0 into 0 7.084 * [backup-simplify]: Simplify 1 into 1 7.085 * [backup-simplify]: Simplify (/ 1 1) into 1 7.085 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.085 * [taylor]: Taking taylor expansion of re in re 7.085 * [backup-simplify]: Simplify 0 into 0 7.085 * [backup-simplify]: Simplify 1 into 1 7.085 * [backup-simplify]: Simplify (/ 1 1) into 1 7.085 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 7.085 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.085 * [taylor]: Taking taylor expansion of im in re 7.085 * [backup-simplify]: Simplify im into im 7.085 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.085 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.085 * [taylor]: Taking taylor expansion of im in re 7.085 * [backup-simplify]: Simplify im into im 7.085 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.085 * [backup-simplify]: Simplify (* 1 1) into 1 7.086 * [backup-simplify]: Simplify (+ 1 0) into 1 7.086 * [backup-simplify]: Simplify (sqrt 1) into 1 7.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.087 * [backup-simplify]: Simplify (+ 0 0) into 0 7.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.088 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.088 * [taylor]: Taking taylor expansion of re in re 7.088 * [backup-simplify]: Simplify 0 into 0 7.088 * [backup-simplify]: Simplify 1 into 1 7.088 * [backup-simplify]: Simplify (/ 1 1) into 1 7.088 * [backup-simplify]: Simplify (+ 1 1) into 2 7.089 * [backup-simplify]: Simplify (sqrt 0) into 0 7.089 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 7.089 * [taylor]: Taking taylor expansion of 0 in im 7.089 * [backup-simplify]: Simplify 0 into 0 7.089 * [taylor]: Taking taylor expansion of +nan.0 in im 7.089 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.089 * [backup-simplify]: Simplify 0 into 0 7.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.090 * [backup-simplify]: Simplify (+ 0 0) into 0 7.092 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.092 * [taylor]: Taking taylor expansion of +nan.0 in im 7.092 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.092 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.092 * [backup-simplify]: Simplify 0 into 0 7.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.094 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 7.094 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.095 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.095 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 7.097 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 7.097 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 7.097 * [taylor]: Taking taylor expansion of +nan.0 in im 7.097 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.097 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 7.097 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 7.097 * [taylor]: Taking taylor expansion of 1/2 in im 7.097 * [backup-simplify]: Simplify 1/2 into 1/2 7.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.097 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.097 * [taylor]: Taking taylor expansion of im in im 7.097 * [backup-simplify]: Simplify 0 into 0 7.097 * [backup-simplify]: Simplify 1 into 1 7.097 * [backup-simplify]: Simplify (* 1 1) into 1 7.097 * [backup-simplify]: Simplify (/ 1 1) into 1 7.097 * [taylor]: Taking taylor expansion of +nan.0 in im 7.097 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.099 * [backup-simplify]: Simplify (+ 0 0) into 0 7.099 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.099 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 7.100 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 7.100 * [backup-simplify]: Simplify 0 into 0 7.100 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.100 * [backup-simplify]: Simplify 0 into 0 7.100 * [backup-simplify]: Simplify 0 into 0 7.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 7.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 7.102 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 7.102 * [backup-simplify]: Simplify (+ 0 0) into 0 7.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.103 * [backup-simplify]: Simplify (+ 0 0) into 0 7.104 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 7.104 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 7.104 * [taylor]: Taking taylor expansion of +nan.0 in im 7.104 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.104 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 7.104 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 7.104 * [taylor]: Taking taylor expansion of +nan.0 in im 7.104 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.105 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.105 * [taylor]: Taking taylor expansion of im in im 7.105 * [backup-simplify]: Simplify 0 into 0 7.105 * [backup-simplify]: Simplify 1 into 1 7.105 * [backup-simplify]: Simplify (* 1 1) into 1 7.105 * [backup-simplify]: Simplify (/ 1 1) into 1 7.105 * [taylor]: Taking taylor expansion of (- +nan.0) in im 7.105 * [taylor]: Taking taylor expansion of +nan.0 in im 7.105 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.106 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 7.107 * [backup-simplify]: Simplify (+ 0 0) into 0 7.107 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 7.107 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 7.108 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 7.108 * [backup-simplify]: Simplify 0 into 0 7.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.110 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.110 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.112 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 7.112 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.112 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 7.113 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im))))) into (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) 7.113 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0 7.113 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 7.113 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 7.113 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 7.113 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.113 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 7.113 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 7.113 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.113 * [taylor]: Taking taylor expansion of -1 in im 7.113 * [backup-simplify]: Simplify -1 into -1 7.113 * [taylor]: Taking taylor expansion of re in im 7.113 * [backup-simplify]: Simplify re into re 7.113 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 7.113 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.113 * [taylor]: Taking taylor expansion of -1 in im 7.113 * [backup-simplify]: Simplify -1 into -1 7.113 * [taylor]: Taking taylor expansion of re in im 7.113 * [backup-simplify]: Simplify re into re 7.113 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 7.113 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 7.113 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.113 * [taylor]: Taking taylor expansion of -1 in im 7.113 * [backup-simplify]: Simplify -1 into -1 7.113 * [taylor]: Taking taylor expansion of im in im 7.113 * [backup-simplify]: Simplify 0 into 0 7.113 * [backup-simplify]: Simplify 1 into 1 7.114 * [backup-simplify]: Simplify (/ -1 1) into -1 7.114 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.114 * [taylor]: Taking taylor expansion of -1 in im 7.114 * [backup-simplify]: Simplify -1 into -1 7.114 * [taylor]: Taking taylor expansion of im in im 7.114 * [backup-simplify]: Simplify 0 into 0 7.114 * [backup-simplify]: Simplify 1 into 1 7.114 * [backup-simplify]: Simplify (/ -1 1) into -1 7.114 * [backup-simplify]: Simplify (* -1 -1) into 1 7.115 * [backup-simplify]: Simplify (+ 0 1) into 1 7.115 * [backup-simplify]: Simplify (sqrt 1) into 1 7.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.116 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.116 * [backup-simplify]: Simplify (+ 0 0) into 0 7.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.117 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.117 * [taylor]: Taking taylor expansion of re in im 7.117 * [backup-simplify]: Simplify re into re 7.117 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.117 * [backup-simplify]: Simplify (+ 1 0) into 1 7.118 * [backup-simplify]: Simplify (sqrt 0) into 0 7.118 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.118 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 7.118 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 7.118 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 7.119 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.119 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 7.119 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 7.119 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.119 * [taylor]: Taking taylor expansion of -1 in re 7.119 * [backup-simplify]: Simplify -1 into -1 7.119 * [taylor]: Taking taylor expansion of re in re 7.119 * [backup-simplify]: Simplify 0 into 0 7.119 * [backup-simplify]: Simplify 1 into 1 7.119 * [backup-simplify]: Simplify (/ -1 1) into -1 7.119 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.119 * [taylor]: Taking taylor expansion of -1 in re 7.119 * [backup-simplify]: Simplify -1 into -1 7.119 * [taylor]: Taking taylor expansion of re in re 7.119 * [backup-simplify]: Simplify 0 into 0 7.119 * [backup-simplify]: Simplify 1 into 1 7.119 * [backup-simplify]: Simplify (/ -1 1) into -1 7.119 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 7.119 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.120 * [taylor]: Taking taylor expansion of -1 in re 7.120 * [backup-simplify]: Simplify -1 into -1 7.120 * [taylor]: Taking taylor expansion of im in re 7.120 * [backup-simplify]: Simplify im into im 7.120 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.120 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.120 * [taylor]: Taking taylor expansion of -1 in re 7.120 * [backup-simplify]: Simplify -1 into -1 7.120 * [taylor]: Taking taylor expansion of im in re 7.120 * [backup-simplify]: Simplify im into im 7.120 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.120 * [backup-simplify]: Simplify (* -1 -1) into 1 7.120 * [backup-simplify]: Simplify (+ 1 0) into 1 7.120 * [backup-simplify]: Simplify (sqrt 1) into 1 7.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.122 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.122 * [backup-simplify]: Simplify (+ 0 0) into 0 7.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.123 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.123 * [taylor]: Taking taylor expansion of re in re 7.123 * [backup-simplify]: Simplify 0 into 0 7.123 * [backup-simplify]: Simplify 1 into 1 7.123 * [backup-simplify]: Simplify (/ 1 1) into 1 7.123 * [backup-simplify]: Simplify (- 1) into -1 7.123 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.124 * [backup-simplify]: Simplify (- 0) into 0 7.124 * [backup-simplify]: Simplify (+ 0 0) into 0 7.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.126 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 7.126 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 7.126 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.127 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.128 * [backup-simplify]: Simplify (- 0) into 0 7.128 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 7.128 * [backup-simplify]: Simplify (sqrt 0) into 0 7.129 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 7.129 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 7.129 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 7.129 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 7.129 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.129 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 7.129 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 7.129 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.129 * [taylor]: Taking taylor expansion of -1 in re 7.129 * [backup-simplify]: Simplify -1 into -1 7.129 * [taylor]: Taking taylor expansion of re in re 7.129 * [backup-simplify]: Simplify 0 into 0 7.129 * [backup-simplify]: Simplify 1 into 1 7.129 * [backup-simplify]: Simplify (/ -1 1) into -1 7.129 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.129 * [taylor]: Taking taylor expansion of -1 in re 7.129 * [backup-simplify]: Simplify -1 into -1 7.129 * [taylor]: Taking taylor expansion of re in re 7.129 * [backup-simplify]: Simplify 0 into 0 7.129 * [backup-simplify]: Simplify 1 into 1 7.130 * [backup-simplify]: Simplify (/ -1 1) into -1 7.130 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 7.130 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.130 * [taylor]: Taking taylor expansion of -1 in re 7.130 * [backup-simplify]: Simplify -1 into -1 7.130 * [taylor]: Taking taylor expansion of im in re 7.130 * [backup-simplify]: Simplify im into im 7.130 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.130 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.130 * [taylor]: Taking taylor expansion of -1 in re 7.130 * [backup-simplify]: Simplify -1 into -1 7.130 * [taylor]: Taking taylor expansion of im in re 7.130 * [backup-simplify]: Simplify im into im 7.130 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.130 * [backup-simplify]: Simplify (* -1 -1) into 1 7.130 * [backup-simplify]: Simplify (+ 1 0) into 1 7.134 * [backup-simplify]: Simplify (sqrt 1) into 1 7.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.136 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.136 * [backup-simplify]: Simplify (+ 0 0) into 0 7.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.137 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.137 * [taylor]: Taking taylor expansion of re in re 7.137 * [backup-simplify]: Simplify 0 into 0 7.137 * [backup-simplify]: Simplify 1 into 1 7.137 * [backup-simplify]: Simplify (/ 1 1) into 1 7.138 * [backup-simplify]: Simplify (- 1) into -1 7.138 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.139 * [backup-simplify]: Simplify (- 0) into 0 7.139 * [backup-simplify]: Simplify (+ 0 0) into 0 7.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.141 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 7.141 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 7.141 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.142 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.143 * [backup-simplify]: Simplify (- 0) into 0 7.143 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 7.143 * [backup-simplify]: Simplify (sqrt 0) into 0 7.143 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 7.144 * [taylor]: Taking taylor expansion of 0 in im 7.144 * [backup-simplify]: Simplify 0 into 0 7.144 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 7.144 * [taylor]: Taking taylor expansion of +nan.0 in im 7.144 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.144 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.144 * [taylor]: Taking taylor expansion of im in im 7.144 * [backup-simplify]: Simplify 0 into 0 7.144 * [backup-simplify]: Simplify 1 into 1 7.144 * [backup-simplify]: Simplify (* 1 1) into 1 7.144 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 7.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 7.145 * [backup-simplify]: Simplify 0 into 0 7.145 * [backup-simplify]: Simplify 0 into 0 7.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.147 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 7.147 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 7.147 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 7.147 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 7.147 * [backup-simplify]: Simplify (+ 0 0) into 0 7.148 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.149 * [backup-simplify]: Simplify (- 0) into 0 7.149 * [backup-simplify]: Simplify (+ 0 0) into 0 7.150 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 7.150 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 7.150 * [taylor]: Taking taylor expansion of +nan.0 in im 7.150 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.150 * [taylor]: Taking taylor expansion of (pow im 4) in im 7.150 * [taylor]: Taking taylor expansion of im in im 7.150 * [backup-simplify]: Simplify 0 into 0 7.150 * [backup-simplify]: Simplify 1 into 1 7.150 * [backup-simplify]: Simplify (* 1 1) into 1 7.150 * [backup-simplify]: Simplify (* 1 1) into 1 7.151 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 7.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 7.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.155 * [backup-simplify]: Simplify 0 into 0 7.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.156 * [backup-simplify]: Simplify 0 into 0 7.156 * [backup-simplify]: Simplify 0 into 0 7.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.158 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 7.158 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 7.158 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 7.159 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 7.159 * [backup-simplify]: Simplify (+ 0 0) into 0 7.160 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 7.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.161 * [backup-simplify]: Simplify (- 0) into 0 7.161 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 7.162 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) 7.162 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 7.162 * [taylor]: Taking taylor expansion of +nan.0 in im 7.162 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.162 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 7.162 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 7.162 * [taylor]: Taking taylor expansion of 1/8 in im 7.162 * [backup-simplify]: Simplify 1/8 into 1/8 7.162 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 7.162 * [taylor]: Taking taylor expansion of (pow im 4) in im 7.162 * [taylor]: Taking taylor expansion of im in im 7.162 * [backup-simplify]: Simplify 0 into 0 7.162 * [backup-simplify]: Simplify 1 into 1 7.162 * [backup-simplify]: Simplify (* 1 1) into 1 7.162 * [backup-simplify]: Simplify (* 1 1) into 1 7.163 * [backup-simplify]: Simplify (/ 1 1) into 1 7.163 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 7.163 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 7.163 * [taylor]: Taking taylor expansion of +nan.0 in im 7.163 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 7.163 * [taylor]: Taking taylor expansion of (pow im 6) in im 7.163 * [taylor]: Taking taylor expansion of im in im 7.163 * [backup-simplify]: Simplify 0 into 0 7.163 * [backup-simplify]: Simplify 1 into 1 7.163 * [backup-simplify]: Simplify (* 1 1) into 1 7.163 * [backup-simplify]: Simplify (* 1 1) into 1 7.163 * [backup-simplify]: Simplify (* 1 1) into 1 7.164 * [backup-simplify]: Simplify (/ 1 1) into 1 7.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.169 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.181 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.182 * [backup-simplify]: Simplify (- 0) into 0 7.182 * [backup-simplify]: Simplify (+ 0 0) into 0 7.182 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 7.183 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.184 * [backup-simplify]: Simplify (- 0) into 0 7.184 * [backup-simplify]: Simplify (+ 0 0) into 0 7.185 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 7.186 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.186 * [backup-simplify]: Simplify (- 0) into 0 7.186 * [backup-simplify]: Simplify (+ 0 0) into 0 7.187 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 7.188 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 7.188 * [backup-simplify]: Simplify (- 0) into 0 7.188 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 7.189 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 7.190 * [backup-simplify]: Simplify (- 0) into 0 7.190 * [backup-simplify]: Simplify (+ 0 0) into 0 7.190 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 7.191 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.191 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 7.193 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/8) (+ (* 0 0) (* 0 (- +nan.0))))))) into 0 7.193 * [backup-simplify]: Simplify 0 into 0 7.193 * [backup-simplify]: Simplify 0 into 0 7.193 * * * [progress]: simplifying candidates 7.195 * [simplify]: Simplifying: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* (+ re (hypot re im)) 2.0) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (+ re (hypot re im)) 2.0) (+ (log (sqrt (+ re (hypot re im)))) (log (sqrt 2.0))) (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (exp (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* (* (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* (+ re (hypot re im)) 2.0) (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (+ re (hypot re im))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (sqrt (+ re (hypot re im))) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (* (sqrt (+ re (hypot re im))) (sqrt 1)) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (* (sqrt (+ re (hypot re im))) 1) (* (cbrt (sqrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt (cbrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt 2.0)) (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt 2.0)) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (sqrt (+ re (hypot re im)))) (log1p (sqrt (+ re (hypot re im)))) (log (sqrt (+ re (hypot re im)))) (exp (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) (cbrt (sqrt (+ re (hypot re im)))) (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (sqrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))) (sqrt (cbrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt 1) (sqrt (+ re (hypot re im))) (sqrt 1) (sqrt (+ re (hypot re im))) (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (- re (hypot re im))) (/ 1 2) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 im re (* -1 re) (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 re)))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 0 7.198 * * [simplify]: Extracting # 0 : cost 0 7.198 * * [simplify]: Extracting # 1 : cost 0 7.199 * * [simplify]: Extracting # 2 : cost 0 7.199 * * [simplify]: Extracting # 3 : cost 0 7.199 * * [simplify]: Extracting # 4 : cost 0 7.200 * * [simplify]: Extracting # 5 : cost 0 7.200 * * [simplify]: Extracting # 6 : cost 0 7.200 * * [simplify]: Extracting # 7 : cost 0 7.201 * * [simplify]: Extracting # 8 : cost 0 7.201 * * [simplify]: Extracting # 9 : cost 0 7.201 * * [simplify]: Extracting # 10 : cost 0 7.202 * * [simplify]: Extracting # 11 : cost 0 7.202 * * [simplify]: iteration 0 : 135 enodes (cost 898 ) 7.261 * * [simplify]: Extracting # 0 : cost 0 7.262 * * [simplify]: Extracting # 1 : cost 0 7.263 * * [simplify]: Extracting # 2 : cost 0 7.263 * * [simplify]: Extracting # 3 : cost 0 7.264 * * [simplify]: Extracting # 4 : cost 0 7.265 * * [simplify]: iteration 1 : 298 enodes (cost 819 ) 7.439 * * [simplify]: Extracting # 0 : cost 0 7.441 * * [simplify]: Extracting # 1 : cost 0 7.443 * * [simplify]: Extracting # 2 : cost 0 7.445 * * [simplify]: Extracting # 3 : cost 0 7.447 * * [simplify]: Extracting # 4 : cost 0 7.449 * * [simplify]: iteration 2 : 742 enodes (cost 778 ) 8.103 * * [simplify]: Extracting # 0 : cost 0 8.105 * * [simplify]: Extracting # 1 : cost 0 8.107 * * [simplify]: Extracting # 2 : cost 0 8.109 * * [simplify]: Extracting # 3 : cost 0 8.111 * * [simplify]: Extracting # 4 : cost 0 8.119 * * [simplify]: iteration 3 : 1970 enodes (cost 766 ) 11.029 * * [simplify]: Extracting # 0 : cost 0 11.035 * * [simplify]: Extracting # 1 : cost 0 11.040 * * [simplify]: Extracting # 2 : cost 0 11.044 * * [simplify]: Extracting # 3 : cost 0 11.049 * * [simplify]: Extracting # 4 : cost 0 11.057 * * [simplify]: iteration done: 5000 enodes (cost 764 ) 11.058 * [simplify]: Simplified to: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma re re (* (hypot re im) (- (hypot re im) re))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* 2.0 (+ re (hypot re im))) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* 2.0 (+ re (hypot re im))) (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (exp (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (pow (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) 3) (* (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (pow (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) 3) (* 2.0 (+ re (hypot re im))) (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (+ re (hypot re im))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (sqrt (+ re (hypot re im))) (fabs (cbrt 2.0))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im))) (* (cbrt (sqrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt (cbrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (hypot (pow re 3/2) (pow (hypot re im) 3/2)) (sqrt 2.0)) (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt 2.0)) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (sqrt (+ re (hypot re im)))) (log1p (sqrt (+ re (hypot re im)))) (log (sqrt (+ re (hypot re im)))) (exp (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) (cbrt (sqrt (+ re (hypot re im)))) (pow (sqrt (+ re (hypot re im))) 3) (fabs (cbrt (+ re (hypot re im)))) (sqrt (cbrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) 1 (sqrt (+ re (hypot re im))) 1 (sqrt (+ re (hypot re im))) (hypot (pow re 3/2) (pow (hypot re im) 3/2)) (sqrt (fma re re (* (hypot re im) (- (hypot re im) re)))) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (- re (hypot re im))) 1/2 (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (- (- im re) (* re re))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 im re (- re) (- (* +nan.0 (- (fma re re re) im))) (- (- (/ +nan.0 re) +nan.0) (/ +nan.0 (* re re))) 0 11.059 * * * [progress]: adding candidates to table 11.364 * * [progress]: iteration 3 / 4 11.364 * * * [progress]: picking best candidate 11.400 * * * * [pick]: Picked # 11.400 * * * [progress]: localizing error 11.427 * * * [progress]: generating rewritten candidates 11.427 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 11.440 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 11.485 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 11.604 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2) 11.610 * * * [progress]: generating series expansions 11.610 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 11.610 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ re (hypot re im)) 11.610 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 11.610 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 11.610 * [taylor]: Taking taylor expansion of re in im 11.611 * [backup-simplify]: Simplify re into re 11.611 * [taylor]: Taking taylor expansion of (hypot re im) in im 11.611 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 11.611 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 11.611 * [taylor]: Taking taylor expansion of (* re re) in im 11.611 * [taylor]: Taking taylor expansion of re in im 11.611 * [backup-simplify]: Simplify re into re 11.611 * [taylor]: Taking taylor expansion of re in im 11.611 * [backup-simplify]: Simplify re into re 11.611 * [taylor]: Taking taylor expansion of (* im im) in im 11.611 * [taylor]: Taking taylor expansion of im in im 11.611 * [backup-simplify]: Simplify 0 into 0 11.611 * [backup-simplify]: Simplify 1 into 1 11.611 * [taylor]: Taking taylor expansion of im in im 11.611 * [backup-simplify]: Simplify 0 into 0 11.611 * [backup-simplify]: Simplify 1 into 1 11.611 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.612 * [backup-simplify]: Simplify (* 0 0) into 0 11.612 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 11.612 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.612 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.613 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.614 * [backup-simplify]: Simplify (+ 0 0) into 0 11.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.614 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 11.614 * [taylor]: Taking taylor expansion of re in re 11.614 * [backup-simplify]: Simplify 0 into 0 11.614 * [backup-simplify]: Simplify 1 into 1 11.614 * [taylor]: Taking taylor expansion of (hypot re im) in re 11.614 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 11.614 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 11.614 * [taylor]: Taking taylor expansion of (* re re) in re 11.614 * [taylor]: Taking taylor expansion of re in re 11.614 * [backup-simplify]: Simplify 0 into 0 11.614 * [backup-simplify]: Simplify 1 into 1 11.614 * [taylor]: Taking taylor expansion of re in re 11.614 * [backup-simplify]: Simplify 0 into 0 11.614 * [backup-simplify]: Simplify 1 into 1 11.614 * [taylor]: Taking taylor expansion of (* im im) in re 11.614 * [taylor]: Taking taylor expansion of im in re 11.614 * [backup-simplify]: Simplify im into im 11.614 * [taylor]: Taking taylor expansion of im in re 11.614 * [backup-simplify]: Simplify im into im 11.615 * [backup-simplify]: Simplify (* 0 0) into 0 11.615 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.615 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.615 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.616 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.617 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.617 * [backup-simplify]: Simplify (+ 0 0) into 0 11.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.617 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 11.617 * [taylor]: Taking taylor expansion of re in re 11.618 * [backup-simplify]: Simplify 0 into 0 11.618 * [backup-simplify]: Simplify 1 into 1 11.618 * [taylor]: Taking taylor expansion of (hypot re im) in re 11.618 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 11.618 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 11.618 * [taylor]: Taking taylor expansion of (* re re) in re 11.618 * [taylor]: Taking taylor expansion of re in re 11.618 * [backup-simplify]: Simplify 0 into 0 11.618 * [backup-simplify]: Simplify 1 into 1 11.618 * [taylor]: Taking taylor expansion of re in re 11.618 * [backup-simplify]: Simplify 0 into 0 11.618 * [backup-simplify]: Simplify 1 into 1 11.618 * [taylor]: Taking taylor expansion of (* im im) in re 11.618 * [taylor]: Taking taylor expansion of im in re 11.618 * [backup-simplify]: Simplify im into im 11.618 * [taylor]: Taking taylor expansion of im in re 11.618 * [backup-simplify]: Simplify im into im 11.618 * [backup-simplify]: Simplify (* 0 0) into 0 11.619 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.619 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.619 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.619 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.619 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.620 * [backup-simplify]: Simplify (+ 0 0) into 0 11.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.620 * [backup-simplify]: Simplify (+ 0 im) into im 11.620 * [taylor]: Taking taylor expansion of im in im 11.620 * [backup-simplify]: Simplify 0 into 0 11.620 * [backup-simplify]: Simplify 1 into 1 11.620 * [backup-simplify]: Simplify 0 into 0 11.621 * [backup-simplify]: Simplify (+ 1 0) into 1 11.621 * [taylor]: Taking taylor expansion of 1 in im 11.621 * [backup-simplify]: Simplify 1 into 1 11.621 * [backup-simplify]: Simplify 1 into 1 11.621 * [backup-simplify]: Simplify 1 into 1 11.621 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.622 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 11.622 * [backup-simplify]: Simplify (+ 1 0) into 1 11.623 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 11.623 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 11.623 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 11.623 * [taylor]: Taking taylor expansion of 1/2 in im 11.623 * [backup-simplify]: Simplify 1/2 into 1/2 11.623 * [taylor]: Taking taylor expansion of (/ 1 im) in im 11.623 * [taylor]: Taking taylor expansion of im in im 11.623 * [backup-simplify]: Simplify 0 into 0 11.623 * [backup-simplify]: Simplify 1 into 1 11.624 * [backup-simplify]: Simplify (/ 1 1) into 1 11.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.625 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.625 * [backup-simplify]: Simplify 0 into 0 11.625 * [backup-simplify]: Simplify 0 into 0 11.625 * [backup-simplify]: Simplify 0 into 0 11.626 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 11.627 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 11.627 * [backup-simplify]: Simplify (+ 0 0) into 0 11.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 11.628 * [backup-simplify]: Simplify (+ 0 0) into 0 11.628 * [taylor]: Taking taylor expansion of 0 in im 11.628 * [backup-simplify]: Simplify 0 into 0 11.628 * [backup-simplify]: Simplify 0 into 0 11.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.630 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 11.630 * [backup-simplify]: Simplify 0 into 0 11.630 * [backup-simplify]: Simplify 0 into 0 11.630 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 11.630 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 11.630 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 11.630 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 11.630 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 11.631 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.631 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 11.631 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 11.631 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.631 * [taylor]: Taking taylor expansion of re in im 11.631 * [backup-simplify]: Simplify re into re 11.631 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.631 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.631 * [taylor]: Taking taylor expansion of re in im 11.631 * [backup-simplify]: Simplify re into re 11.631 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.631 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 11.631 * [taylor]: Taking taylor expansion of (/ 1 im) in im 11.631 * [taylor]: Taking taylor expansion of im in im 11.631 * [backup-simplify]: Simplify 0 into 0 11.631 * [backup-simplify]: Simplify 1 into 1 11.632 * [backup-simplify]: Simplify (/ 1 1) into 1 11.632 * [taylor]: Taking taylor expansion of (/ 1 im) in im 11.632 * [taylor]: Taking taylor expansion of im in im 11.632 * [backup-simplify]: Simplify 0 into 0 11.632 * [backup-simplify]: Simplify 1 into 1 11.632 * [backup-simplify]: Simplify (/ 1 1) into 1 11.632 * [backup-simplify]: Simplify (* 1 1) into 1 11.633 * [backup-simplify]: Simplify (+ 0 1) into 1 11.633 * [backup-simplify]: Simplify (sqrt 1) into 1 11.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.636 * [backup-simplify]: Simplify (+ 0 0) into 0 11.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.637 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.637 * [taylor]: Taking taylor expansion of re in im 11.637 * [backup-simplify]: Simplify re into re 11.637 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.637 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 11.637 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 11.638 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.638 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 11.638 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 11.638 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.638 * [taylor]: Taking taylor expansion of re in re 11.638 * [backup-simplify]: Simplify 0 into 0 11.638 * [backup-simplify]: Simplify 1 into 1 11.638 * [backup-simplify]: Simplify (/ 1 1) into 1 11.638 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.638 * [taylor]: Taking taylor expansion of re in re 11.638 * [backup-simplify]: Simplify 0 into 0 11.638 * [backup-simplify]: Simplify 1 into 1 11.639 * [backup-simplify]: Simplify (/ 1 1) into 1 11.639 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 11.639 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.639 * [taylor]: Taking taylor expansion of im in re 11.639 * [backup-simplify]: Simplify im into im 11.639 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.639 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.639 * [taylor]: Taking taylor expansion of im in re 11.639 * [backup-simplify]: Simplify im into im 11.639 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.640 * [backup-simplify]: Simplify (* 1 1) into 1 11.640 * [backup-simplify]: Simplify (+ 1 0) into 1 11.640 * [backup-simplify]: Simplify (sqrt 1) into 1 11.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.643 * [backup-simplify]: Simplify (+ 0 0) into 0 11.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.644 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.644 * [taylor]: Taking taylor expansion of re in re 11.644 * [backup-simplify]: Simplify 0 into 0 11.644 * [backup-simplify]: Simplify 1 into 1 11.644 * [backup-simplify]: Simplify (/ 1 1) into 1 11.644 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 11.644 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 11.645 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.645 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 11.645 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 11.645 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.645 * [taylor]: Taking taylor expansion of re in re 11.645 * [backup-simplify]: Simplify 0 into 0 11.645 * [backup-simplify]: Simplify 1 into 1 11.645 * [backup-simplify]: Simplify (/ 1 1) into 1 11.645 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.645 * [taylor]: Taking taylor expansion of re in re 11.645 * [backup-simplify]: Simplify 0 into 0 11.645 * [backup-simplify]: Simplify 1 into 1 11.646 * [backup-simplify]: Simplify (/ 1 1) into 1 11.646 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 11.646 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.646 * [taylor]: Taking taylor expansion of im in re 11.646 * [backup-simplify]: Simplify im into im 11.646 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.646 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.646 * [taylor]: Taking taylor expansion of im in re 11.646 * [backup-simplify]: Simplify im into im 11.646 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.646 * [backup-simplify]: Simplify (* 1 1) into 1 11.647 * [backup-simplify]: Simplify (+ 1 0) into 1 11.647 * [backup-simplify]: Simplify (sqrt 1) into 1 11.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.649 * [backup-simplify]: Simplify (+ 0 0) into 0 11.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.650 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.650 * [taylor]: Taking taylor expansion of re in re 11.650 * [backup-simplify]: Simplify 0 into 0 11.650 * [backup-simplify]: Simplify 1 into 1 11.650 * [backup-simplify]: Simplify (/ 1 1) into 1 11.651 * [backup-simplify]: Simplify (+ 1 1) into 2 11.651 * [taylor]: Taking taylor expansion of 2 in im 11.651 * [backup-simplify]: Simplify 2 into 2 11.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.652 * [backup-simplify]: Simplify (+ 0 0) into 0 11.652 * [taylor]: Taking taylor expansion of 0 in im 11.652 * [backup-simplify]: Simplify 0 into 0 11.652 * [backup-simplify]: Simplify 2 into 2 11.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.654 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 11.654 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.656 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.657 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 11.657 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 11.657 * [taylor]: Taking taylor expansion of 1/2 in im 11.657 * [backup-simplify]: Simplify 1/2 into 1/2 11.657 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.657 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.657 * [taylor]: Taking taylor expansion of im in im 11.657 * [backup-simplify]: Simplify 0 into 0 11.657 * [backup-simplify]: Simplify 1 into 1 11.657 * [backup-simplify]: Simplify (* 1 1) into 1 11.658 * [backup-simplify]: Simplify (/ 1 1) into 1 11.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.659 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.659 * [backup-simplify]: Simplify 0 into 0 11.660 * [backup-simplify]: Simplify 0 into 0 11.660 * [backup-simplify]: Simplify 0 into 0 11.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 11.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 11.662 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 11.663 * [backup-simplify]: Simplify (+ 0 0) into 0 11.663 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.665 * [backup-simplify]: Simplify (+ 0 0) into 0 11.665 * [taylor]: Taking taylor expansion of 0 in im 11.665 * [backup-simplify]: Simplify 0 into 0 11.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.667 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 11.667 * [backup-simplify]: Simplify 0 into 0 11.667 * [backup-simplify]: Simplify 0 into 0 11.667 * [backup-simplify]: Simplify 0 into 0 11.667 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 11.667 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 11.668 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 11.668 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 11.668 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 11.668 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.668 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 11.668 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 11.668 * [taylor]: Taking taylor expansion of (/ -1 re) in im 11.668 * [taylor]: Taking taylor expansion of -1 in im 11.668 * [backup-simplify]: Simplify -1 into -1 11.668 * [taylor]: Taking taylor expansion of re in im 11.668 * [backup-simplify]: Simplify re into re 11.668 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 11.668 * [taylor]: Taking taylor expansion of (/ -1 re) in im 11.668 * [taylor]: Taking taylor expansion of -1 in im 11.668 * [backup-simplify]: Simplify -1 into -1 11.668 * [taylor]: Taking taylor expansion of re in im 11.668 * [backup-simplify]: Simplify re into re 11.668 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 11.668 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 11.668 * [taylor]: Taking taylor expansion of (/ -1 im) in im 11.668 * [taylor]: Taking taylor expansion of -1 in im 11.668 * [backup-simplify]: Simplify -1 into -1 11.668 * [taylor]: Taking taylor expansion of im in im 11.668 * [backup-simplify]: Simplify 0 into 0 11.668 * [backup-simplify]: Simplify 1 into 1 11.669 * [backup-simplify]: Simplify (/ -1 1) into -1 11.669 * [taylor]: Taking taylor expansion of (/ -1 im) in im 11.669 * [taylor]: Taking taylor expansion of -1 in im 11.669 * [backup-simplify]: Simplify -1 into -1 11.669 * [taylor]: Taking taylor expansion of im in im 11.669 * [backup-simplify]: Simplify 0 into 0 11.669 * [backup-simplify]: Simplify 1 into 1 11.669 * [backup-simplify]: Simplify (/ -1 1) into -1 11.670 * [backup-simplify]: Simplify (* -1 -1) into 1 11.670 * [backup-simplify]: Simplify (+ 0 1) into 1 11.670 * [backup-simplify]: Simplify (sqrt 1) into 1 11.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.672 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.673 * [backup-simplify]: Simplify (+ 0 0) into 0 11.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.673 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.673 * [taylor]: Taking taylor expansion of re in im 11.673 * [backup-simplify]: Simplify re into re 11.674 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.674 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 11.674 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 11.674 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.674 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 11.674 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 11.674 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.674 * [taylor]: Taking taylor expansion of -1 in re 11.674 * [backup-simplify]: Simplify -1 into -1 11.674 * [taylor]: Taking taylor expansion of re in re 11.674 * [backup-simplify]: Simplify 0 into 0 11.674 * [backup-simplify]: Simplify 1 into 1 11.674 * [backup-simplify]: Simplify (/ -1 1) into -1 11.674 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.674 * [taylor]: Taking taylor expansion of -1 in re 11.674 * [backup-simplify]: Simplify -1 into -1 11.674 * [taylor]: Taking taylor expansion of re in re 11.674 * [backup-simplify]: Simplify 0 into 0 11.674 * [backup-simplify]: Simplify 1 into 1 11.675 * [backup-simplify]: Simplify (/ -1 1) into -1 11.675 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 11.675 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.675 * [taylor]: Taking taylor expansion of -1 in re 11.675 * [backup-simplify]: Simplify -1 into -1 11.675 * [taylor]: Taking taylor expansion of im in re 11.675 * [backup-simplify]: Simplify im into im 11.675 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.675 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.675 * [taylor]: Taking taylor expansion of -1 in re 11.675 * [backup-simplify]: Simplify -1 into -1 11.675 * [taylor]: Taking taylor expansion of im in re 11.675 * [backup-simplify]: Simplify im into im 11.675 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.676 * [backup-simplify]: Simplify (* -1 -1) into 1 11.676 * [backup-simplify]: Simplify (+ 1 0) into 1 11.676 * [backup-simplify]: Simplify (sqrt 1) into 1 11.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.678 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.679 * [backup-simplify]: Simplify (+ 0 0) into 0 11.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.679 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.679 * [taylor]: Taking taylor expansion of re in re 11.679 * [backup-simplify]: Simplify 0 into 0 11.679 * [backup-simplify]: Simplify 1 into 1 11.680 * [backup-simplify]: Simplify (/ 1 1) into 1 11.680 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 11.680 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 11.680 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.680 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 11.680 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 11.680 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.680 * [taylor]: Taking taylor expansion of -1 in re 11.680 * [backup-simplify]: Simplify -1 into -1 11.680 * [taylor]: Taking taylor expansion of re in re 11.680 * [backup-simplify]: Simplify 0 into 0 11.680 * [backup-simplify]: Simplify 1 into 1 11.681 * [backup-simplify]: Simplify (/ -1 1) into -1 11.681 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.681 * [taylor]: Taking taylor expansion of -1 in re 11.681 * [backup-simplify]: Simplify -1 into -1 11.681 * [taylor]: Taking taylor expansion of re in re 11.681 * [backup-simplify]: Simplify 0 into 0 11.681 * [backup-simplify]: Simplify 1 into 1 11.681 * [backup-simplify]: Simplify (/ -1 1) into -1 11.681 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 11.681 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.681 * [taylor]: Taking taylor expansion of -1 in re 11.681 * [backup-simplify]: Simplify -1 into -1 11.681 * [taylor]: Taking taylor expansion of im in re 11.681 * [backup-simplify]: Simplify im into im 11.681 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.681 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.681 * [taylor]: Taking taylor expansion of -1 in re 11.681 * [backup-simplify]: Simplify -1 into -1 11.681 * [taylor]: Taking taylor expansion of im in re 11.681 * [backup-simplify]: Simplify im into im 11.681 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.682 * [backup-simplify]: Simplify (* -1 -1) into 1 11.682 * [backup-simplify]: Simplify (+ 1 0) into 1 11.683 * [backup-simplify]: Simplify (sqrt 1) into 1 11.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.685 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.689 * [backup-simplify]: Simplify (+ 0 0) into 0 11.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.690 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.690 * [taylor]: Taking taylor expansion of re in re 11.690 * [backup-simplify]: Simplify 0 into 0 11.690 * [backup-simplify]: Simplify 1 into 1 11.691 * [backup-simplify]: Simplify (/ 1 1) into 1 11.691 * [backup-simplify]: Simplify (- 1) into -1 11.691 * [backup-simplify]: Simplify (+ 1 -1) into 0 11.691 * [taylor]: Taking taylor expansion of 0 in im 11.691 * [backup-simplify]: Simplify 0 into 0 11.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.692 * [backup-simplify]: Simplify (- 0) into 0 11.693 * [backup-simplify]: Simplify (+ 0 0) into 0 11.693 * [taylor]: Taking taylor expansion of 0 in im 11.693 * [backup-simplify]: Simplify 0 into 0 11.693 * [backup-simplify]: Simplify 0 into 0 11.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.695 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 11.695 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 11.696 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.696 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.697 * [backup-simplify]: Simplify (- 0) into 0 11.697 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 11.697 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 11.697 * [taylor]: Taking taylor expansion of 1/2 in im 11.697 * [backup-simplify]: Simplify 1/2 into 1/2 11.697 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.697 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.697 * [taylor]: Taking taylor expansion of im in im 11.697 * [backup-simplify]: Simplify 0 into 0 11.697 * [backup-simplify]: Simplify 1 into 1 11.698 * [backup-simplify]: Simplify (* 1 1) into 1 11.698 * [backup-simplify]: Simplify (/ 1 1) into 1 11.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.699 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 11.699 * [backup-simplify]: Simplify 0 into 0 11.699 * [backup-simplify]: Simplify 0 into 0 11.699 * [backup-simplify]: Simplify 0 into 0 11.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.701 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 11.701 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 11.701 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 11.701 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 11.701 * [backup-simplify]: Simplify (+ 0 0) into 0 11.702 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.703 * [backup-simplify]: Simplify (- 0) into 0 11.703 * [backup-simplify]: Simplify (+ 0 0) into 0 11.703 * [taylor]: Taking taylor expansion of 0 in im 11.703 * [backup-simplify]: Simplify 0 into 0 11.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.704 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 11.704 * [backup-simplify]: Simplify 0 into 0 11.704 * [backup-simplify]: Simplify 0 into 0 11.705 * [backup-simplify]: Simplify 0 into 0 11.705 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 11.705 * [backup-simplify]: Simplify (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) into (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) 11.705 * [approximate]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in (re im) around 0 11.705 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in im 11.705 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in im 11.705 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 11.705 * [taylor]: Taking taylor expansion of re in im 11.705 * [backup-simplify]: Simplify re into re 11.705 * [taylor]: Taking taylor expansion of (hypot re im) in im 11.705 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 11.706 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 11.706 * [taylor]: Taking taylor expansion of (* re re) in im 11.706 * [taylor]: Taking taylor expansion of re in im 11.706 * [backup-simplify]: Simplify re into re 11.706 * [taylor]: Taking taylor expansion of re in im 11.706 * [backup-simplify]: Simplify re into re 11.706 * [taylor]: Taking taylor expansion of (* im im) in im 11.706 * [taylor]: Taking taylor expansion of im in im 11.706 * [backup-simplify]: Simplify 0 into 0 11.706 * [backup-simplify]: Simplify 1 into 1 11.706 * [taylor]: Taking taylor expansion of im in im 11.706 * [backup-simplify]: Simplify 0 into 0 11.706 * [backup-simplify]: Simplify 1 into 1 11.706 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.706 * [backup-simplify]: Simplify (* 0 0) into 0 11.706 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 11.706 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.706 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.707 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.707 * [backup-simplify]: Simplify (+ 0 0) into 0 11.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.707 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.707 * [taylor]: Taking taylor expansion of 2.0 in im 11.707 * [backup-simplify]: Simplify 2.0 into 2.0 11.707 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.708 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 11.708 * [backup-simplify]: Simplify (* (* 2 re) (sqrt 2.0)) into (* 2 (* re (sqrt 2.0))) 11.708 * [backup-simplify]: Simplify (sqrt (* 2 (* re (sqrt 2.0)))) into (* (sqrt (* re (sqrt 2.0))) (sqrt 2)) 11.709 * [backup-simplify]: Simplify (+ 0 0) into 0 11.709 * [backup-simplify]: Simplify (+ (* (* 2 re) 0) (* 0 (sqrt 2.0))) into 0 11.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (* re (sqrt 2.0)))))) into 0 11.709 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in re 11.709 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in re 11.709 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 11.709 * [taylor]: Taking taylor expansion of re in re 11.710 * [backup-simplify]: Simplify 0 into 0 11.710 * [backup-simplify]: Simplify 1 into 1 11.710 * [taylor]: Taking taylor expansion of (hypot re im) in re 11.710 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 11.710 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 11.710 * [taylor]: Taking taylor expansion of (* re re) in re 11.710 * [taylor]: Taking taylor expansion of re in re 11.710 * [backup-simplify]: Simplify 0 into 0 11.710 * [backup-simplify]: Simplify 1 into 1 11.710 * [taylor]: Taking taylor expansion of re in re 11.710 * [backup-simplify]: Simplify 0 into 0 11.710 * [backup-simplify]: Simplify 1 into 1 11.710 * [taylor]: Taking taylor expansion of (* im im) in re 11.710 * [taylor]: Taking taylor expansion of im in re 11.710 * [backup-simplify]: Simplify im into im 11.710 * [taylor]: Taking taylor expansion of im in re 11.710 * [backup-simplify]: Simplify im into im 11.710 * [backup-simplify]: Simplify (* 0 0) into 0 11.710 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.710 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.710 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.711 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.711 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.711 * [backup-simplify]: Simplify (+ 0 0) into 0 11.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.711 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.711 * [taylor]: Taking taylor expansion of 2.0 in re 11.711 * [backup-simplify]: Simplify 2.0 into 2.0 11.711 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.712 * [backup-simplify]: Simplify (+ 0 im) into im 11.712 * [backup-simplify]: Simplify (* im (sqrt 2.0)) into (* (sqrt 2.0) im) 11.712 * [backup-simplify]: Simplify (sqrt (* (sqrt 2.0) im)) into (sqrt (* (sqrt 2.0) im)) 11.713 * [backup-simplify]: Simplify (+ 1 0) into 1 11.713 * [backup-simplify]: Simplify (+ (* im 0) (* 1 (sqrt 2.0))) into (sqrt 2.0) 11.714 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt (* (sqrt 2.0) im)))) into (* 1/2 (sqrt (/ (sqrt 2.0) im))) 11.714 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in re 11.714 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in re 11.714 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 11.714 * [taylor]: Taking taylor expansion of re in re 11.714 * [backup-simplify]: Simplify 0 into 0 11.714 * [backup-simplify]: Simplify 1 into 1 11.714 * [taylor]: Taking taylor expansion of (hypot re im) in re 11.714 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 11.714 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 11.714 * [taylor]: Taking taylor expansion of (* re re) in re 11.714 * [taylor]: Taking taylor expansion of re in re 11.714 * [backup-simplify]: Simplify 0 into 0 11.714 * [backup-simplify]: Simplify 1 into 1 11.714 * [taylor]: Taking taylor expansion of re in re 11.714 * [backup-simplify]: Simplify 0 into 0 11.714 * [backup-simplify]: Simplify 1 into 1 11.714 * [taylor]: Taking taylor expansion of (* im im) in re 11.714 * [taylor]: Taking taylor expansion of im in re 11.714 * [backup-simplify]: Simplify im into im 11.714 * [taylor]: Taking taylor expansion of im in re 11.714 * [backup-simplify]: Simplify im into im 11.715 * [backup-simplify]: Simplify (* 0 0) into 0 11.715 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.715 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.715 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.715 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.715 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.715 * [backup-simplify]: Simplify (+ 0 0) into 0 11.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.716 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.716 * [taylor]: Taking taylor expansion of 2.0 in re 11.716 * [backup-simplify]: Simplify 2.0 into 2.0 11.716 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.716 * [backup-simplify]: Simplify (+ 0 im) into im 11.717 * [backup-simplify]: Simplify (* im (sqrt 2.0)) into (* (sqrt 2.0) im) 11.717 * [backup-simplify]: Simplify (sqrt (* (sqrt 2.0) im)) into (sqrt (* (sqrt 2.0) im)) 11.717 * [backup-simplify]: Simplify (+ 1 0) into 1 11.718 * [backup-simplify]: Simplify (+ (* im 0) (* 1 (sqrt 2.0))) into (sqrt 2.0) 11.718 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt (* (sqrt 2.0) im)))) into (* 1/2 (sqrt (/ (sqrt 2.0) im))) 11.718 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) im)) in im 11.718 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 11.718 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.718 * [taylor]: Taking taylor expansion of 2.0 in im 11.718 * [backup-simplify]: Simplify 2.0 into 2.0 11.719 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.719 * [taylor]: Taking taylor expansion of im in im 11.719 * [backup-simplify]: Simplify 0 into 0 11.719 * [backup-simplify]: Simplify 1 into 1 11.719 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 11.721 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 11.721 * [backup-simplify]: Simplify (sqrt 0) into 0 11.722 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0)) 11.722 * [backup-simplify]: Simplify 0 into 0 11.722 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ (sqrt 2.0) im))) in im 11.722 * [taylor]: Taking taylor expansion of 1/2 in im 11.722 * [backup-simplify]: Simplify 1/2 into 1/2 11.722 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) im)) in im 11.722 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 11.722 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.722 * [taylor]: Taking taylor expansion of 2.0 in im 11.722 * [backup-simplify]: Simplify 2.0 into 2.0 11.723 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.723 * [taylor]: Taking taylor expansion of im in im 11.723 * [backup-simplify]: Simplify 0 into 0 11.723 * [backup-simplify]: Simplify 1 into 1 11.724 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 11.724 * [backup-simplify]: Simplify (sqrt 0) into 0 11.725 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0)) 11.727 * [backup-simplify]: Simplify (+ (* 1/2 (* +nan.0 (sqrt 2.0))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 11.728 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 11.729 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 11.731 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 11.731 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.732 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 11.732 * [backup-simplify]: Simplify (+ 1 0) into 1 11.733 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 11.733 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 11.734 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 1 0) (* (* 1/2 (/ 1 im)) (sqrt 2.0)))) into (* 1/2 (/ (sqrt 2.0) im)) 11.736 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ (sqrt 2.0) im)) (pow (* 1/2 (sqrt (/ (sqrt 2.0) im))) 2) (+)) (* 2 (sqrt (* (sqrt 2.0) im)))) into (* 1/8 (sqrt (/ (sqrt 2.0) (pow im 3)))) 11.736 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ (sqrt 2.0) (pow im 3)))) in im 11.736 * [taylor]: Taking taylor expansion of 1/8 in im 11.736 * [backup-simplify]: Simplify 1/8 into 1/8 11.736 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) (pow im 3))) in im 11.736 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 3)) in im 11.736 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.736 * [taylor]: Taking taylor expansion of 2.0 in im 11.736 * [backup-simplify]: Simplify 2.0 into 2.0 11.737 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.738 * [taylor]: Taking taylor expansion of (pow im 3) in im 11.738 * [taylor]: Taking taylor expansion of im in im 11.738 * [backup-simplify]: Simplify 0 into 0 11.738 * [backup-simplify]: Simplify 1 into 1 11.738 * [backup-simplify]: Simplify (* 1 1) into 1 11.738 * [backup-simplify]: Simplify (* 1 1) into 1 11.739 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 11.740 * [backup-simplify]: Simplify (sqrt 0) into 0 11.742 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0)) 11.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 11.749 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (sqrt 2.0)) 2) (+)) (* 2 0)) into (* +nan.0 (pow (sqrt 2.0) 2)) 11.755 * [backup-simplify]: Simplify (+ (* 1/8 (* +nan.0 (pow (sqrt 2.0) 2))) (+ (* 0 (* +nan.0 (sqrt 2.0))) (* 0 0))) into (- (* +nan.0 (pow (sqrt 2.0) 2))) 11.758 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 2))) into (- (* +nan.0 (pow (sqrt 2.0) 2))) 11.763 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 2.0) 2))) (pow (* 1 re) 2)) (+ (* (* +nan.0 (sqrt 2.0)) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (pow (sqrt 2.0) 2) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 11.765 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt (sqrt 2.0))) into (sqrt (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) 11.765 * [approximate]: Taking taylor expansion of (sqrt (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in (re im) around 0 11.765 * [taylor]: Taking taylor expansion of (sqrt (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in im 11.765 * [taylor]: Taking taylor expansion of (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0)) in im 11.765 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 11.765 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 11.765 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.765 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 11.765 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 11.765 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.765 * [taylor]: Taking taylor expansion of re in im 11.765 * [backup-simplify]: Simplify re into re 11.765 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.765 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.765 * [taylor]: Taking taylor expansion of re in im 11.765 * [backup-simplify]: Simplify re into re 11.765 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.765 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 11.765 * [taylor]: Taking taylor expansion of (/ 1 im) in im 11.765 * [taylor]: Taking taylor expansion of im in im 11.765 * [backup-simplify]: Simplify 0 into 0 11.765 * [backup-simplify]: Simplify 1 into 1 11.766 * [backup-simplify]: Simplify (/ 1 1) into 1 11.766 * [taylor]: Taking taylor expansion of (/ 1 im) in im 11.766 * [taylor]: Taking taylor expansion of im in im 11.766 * [backup-simplify]: Simplify 0 into 0 11.766 * [backup-simplify]: Simplify 1 into 1 11.766 * [backup-simplify]: Simplify (/ 1 1) into 1 11.767 * [backup-simplify]: Simplify (* 1 1) into 1 11.767 * [backup-simplify]: Simplify (+ 0 1) into 1 11.768 * [backup-simplify]: Simplify (sqrt 1) into 1 11.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.770 * [backup-simplify]: Simplify (+ 0 0) into 0 11.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.771 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.771 * [taylor]: Taking taylor expansion of re in im 11.771 * [backup-simplify]: Simplify re into re 11.771 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.771 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.771 * [taylor]: Taking taylor expansion of 2.0 in im 11.771 * [backup-simplify]: Simplify 2.0 into 2.0 11.772 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.773 * [backup-simplify]: Simplify (+ 1 0) into 1 11.774 * [backup-simplify]: Simplify (* 1 (sqrt 2.0)) into (sqrt 2.0) 11.774 * [backup-simplify]: Simplify (sqrt 0) into 0 11.776 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0)) 11.776 * [taylor]: Taking taylor expansion of (sqrt (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in re 11.776 * [taylor]: Taking taylor expansion of (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0)) in re 11.776 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 11.777 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 11.777 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.777 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 11.777 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 11.777 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.777 * [taylor]: Taking taylor expansion of re in re 11.777 * [backup-simplify]: Simplify 0 into 0 11.777 * [backup-simplify]: Simplify 1 into 1 11.777 * [backup-simplify]: Simplify (/ 1 1) into 1 11.777 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.777 * [taylor]: Taking taylor expansion of re in re 11.777 * [backup-simplify]: Simplify 0 into 0 11.777 * [backup-simplify]: Simplify 1 into 1 11.778 * [backup-simplify]: Simplify (/ 1 1) into 1 11.778 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 11.778 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.778 * [taylor]: Taking taylor expansion of im in re 11.778 * [backup-simplify]: Simplify im into im 11.778 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.778 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.778 * [taylor]: Taking taylor expansion of im in re 11.778 * [backup-simplify]: Simplify im into im 11.778 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.779 * [backup-simplify]: Simplify (* 1 1) into 1 11.779 * [backup-simplify]: Simplify (+ 1 0) into 1 11.779 * [backup-simplify]: Simplify (sqrt 1) into 1 11.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.782 * [backup-simplify]: Simplify (+ 0 0) into 0 11.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.783 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.783 * [taylor]: Taking taylor expansion of re in re 11.783 * [backup-simplify]: Simplify 0 into 0 11.783 * [backup-simplify]: Simplify 1 into 1 11.783 * [backup-simplify]: Simplify (/ 1 1) into 1 11.783 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.783 * [taylor]: Taking taylor expansion of 2.0 in re 11.783 * [backup-simplify]: Simplify 2.0 into 2.0 11.784 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.785 * [backup-simplify]: Simplify (+ 1 1) into 2 11.786 * [backup-simplify]: Simplify (* 2 (sqrt 2.0)) into (* 2 (sqrt 2.0)) 11.786 * [backup-simplify]: Simplify (sqrt 0) into 0 11.788 * [backup-simplify]: Simplify (/ (* 2 (sqrt 2.0)) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0)) 11.788 * [taylor]: Taking taylor expansion of (sqrt (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in re 11.788 * [taylor]: Taking taylor expansion of (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0)) in re 11.789 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 11.789 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 11.789 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.789 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 11.789 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 11.789 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.789 * [taylor]: Taking taylor expansion of re in re 11.789 * [backup-simplify]: Simplify 0 into 0 11.789 * [backup-simplify]: Simplify 1 into 1 11.789 * [backup-simplify]: Simplify (/ 1 1) into 1 11.789 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.789 * [taylor]: Taking taylor expansion of re in re 11.789 * [backup-simplify]: Simplify 0 into 0 11.789 * [backup-simplify]: Simplify 1 into 1 11.790 * [backup-simplify]: Simplify (/ 1 1) into 1 11.790 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 11.790 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.790 * [taylor]: Taking taylor expansion of im in re 11.790 * [backup-simplify]: Simplify im into im 11.790 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.790 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.790 * [taylor]: Taking taylor expansion of im in re 11.790 * [backup-simplify]: Simplify im into im 11.790 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.791 * [backup-simplify]: Simplify (* 1 1) into 1 11.791 * [backup-simplify]: Simplify (+ 1 0) into 1 11.791 * [backup-simplify]: Simplify (sqrt 1) into 1 11.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.794 * [backup-simplify]: Simplify (+ 0 0) into 0 11.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.794 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.794 * [taylor]: Taking taylor expansion of re in re 11.794 * [backup-simplify]: Simplify 0 into 0 11.794 * [backup-simplify]: Simplify 1 into 1 11.795 * [backup-simplify]: Simplify (/ 1 1) into 1 11.795 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.795 * [taylor]: Taking taylor expansion of 2.0 in re 11.795 * [backup-simplify]: Simplify 2.0 into 2.0 11.795 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.796 * [backup-simplify]: Simplify (+ 1 1) into 2 11.797 * [backup-simplify]: Simplify (* 2 (sqrt 2.0)) into (* 2 (sqrt 2.0)) 11.798 * [backup-simplify]: Simplify (sqrt 0) into 0 11.801 * [backup-simplify]: Simplify (/ (* 2 (sqrt 2.0)) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0)) 11.801 * [taylor]: Taking taylor expansion of 0 in im 11.801 * [backup-simplify]: Simplify 0 into 0 11.801 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 11.801 * [taylor]: Taking taylor expansion of +nan.0 in im 11.802 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.802 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.802 * [taylor]: Taking taylor expansion of 2.0 in im 11.802 * [backup-simplify]: Simplify 2.0 into 2.0 11.802 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.803 * [backup-simplify]: Simplify 0 into 0 11.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.805 * [backup-simplify]: Simplify (+ 0 0) into 0 11.805 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (sqrt 2.0))) into 0 11.810 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (sqrt 2.0)) 2) (+)) (* 2 0)) into (* +nan.0 (pow (sqrt 2.0) 2)) 11.811 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 2)) in im 11.811 * [taylor]: Taking taylor expansion of +nan.0 in im 11.811 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.811 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 11.811 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.811 * [taylor]: Taking taylor expansion of 2.0 in im 11.811 * [backup-simplify]: Simplify 2.0 into 2.0 11.811 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.813 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 11.814 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 11.814 * [backup-simplify]: Simplify 0 into 0 11.815 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 11.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.827 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 11.827 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.829 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.831 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 11.832 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* (* 1/2 (/ 1 (pow im 2))) (sqrt 2.0)))) into (* 1/2 (/ (sqrt 2.0) (pow im 2))) 11.840 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (+ (* 2 (* (* +nan.0 (sqrt 2.0)) (* +nan.0 (pow (sqrt 2.0) 2)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3)))) 11.840 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3)))) in im 11.840 * [taylor]: Taking taylor expansion of +nan.0 in im 11.840 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.840 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3))) in im 11.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) (pow im 2))) in im 11.840 * [taylor]: Taking taylor expansion of 1/2 in im 11.840 * [backup-simplify]: Simplify 1/2 into 1/2 11.840 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 11.841 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.841 * [taylor]: Taking taylor expansion of 2.0 in im 11.841 * [backup-simplify]: Simplify 2.0 into 2.0 11.841 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.842 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.842 * [taylor]: Taking taylor expansion of im in im 11.842 * [backup-simplify]: Simplify 0 into 0 11.842 * [backup-simplify]: Simplify 1 into 1 11.843 * [backup-simplify]: Simplify (* 1 1) into 1 11.844 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 11.844 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 3)) in im 11.844 * [taylor]: Taking taylor expansion of +nan.0 in im 11.844 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.844 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 11.844 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.844 * [taylor]: Taking taylor expansion of 2.0 in im 11.844 * [backup-simplify]: Simplify 2.0 into 2.0 11.844 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 11.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 2.0))) into 0 11.848 * [backup-simplify]: Simplify (+ 0 0) into 0 11.849 * [backup-simplify]: Simplify (* 1/2 (sqrt 2.0)) into (* 1/2 (sqrt 2.0)) 11.851 * [backup-simplify]: Simplify (+ (* 1/2 (sqrt 2.0)) 0) into (* 1/2 (sqrt 2.0)) 11.852 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* 1/2 (sqrt 2.0)))) into 0 11.852 * [backup-simplify]: Simplify 0 into 0 11.854 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2) 11.855 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 2)) into (* +nan.0 (pow (sqrt 2.0) 2)) 11.857 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 2)) into (* +nan.0 (pow (sqrt 2.0) 2)) 11.858 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 11.858 * [backup-simplify]: Simplify 0 into 0 11.858 * [backup-simplify]: Simplify 0 into 0 11.860 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 11.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 11.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 11.863 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 11.864 * [backup-simplify]: Simplify (+ 0 0) into 0 11.864 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.866 * [backup-simplify]: Simplify (+ 0 0) into 0 11.867 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* (* 1/2 (/ 1 (pow im 2))) 0) (* 0 (sqrt 2.0))))) into 0 11.874 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (pow (sqrt 2.0) 2)) 2) (+ (* 2 (* (* +nan.0 (sqrt 2.0)) (* +nan.0 (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3)))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 4))))) 11.875 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 4))))) in im 11.875 * [taylor]: Taking taylor expansion of +nan.0 in im 11.875 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.875 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 4)))) in im 11.875 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) in im 11.875 * [taylor]: Taking taylor expansion of +nan.0 in im 11.875 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.875 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 2)) in im 11.875 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 11.875 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.875 * [taylor]: Taking taylor expansion of 2.0 in im 11.875 * [backup-simplify]: Simplify 2.0 into 2.0 11.875 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.876 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.876 * [taylor]: Taking taylor expansion of im in im 11.876 * [backup-simplify]: Simplify 0 into 0 11.876 * [backup-simplify]: Simplify 1 into 1 11.878 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2) 11.878 * [backup-simplify]: Simplify (* 1 1) into 1 11.880 * [backup-simplify]: Simplify (/ (pow (sqrt 2.0) 2) 1) into (pow (sqrt 2.0) 2) 11.880 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (sqrt 2.0) 4))) in im 11.880 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 4)) in im 11.880 * [taylor]: Taking taylor expansion of +nan.0 in im 11.880 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.880 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 4) in im 11.880 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.880 * [taylor]: Taking taylor expansion of 2.0 in im 11.880 * [backup-simplify]: Simplify 2.0 into 2.0 11.880 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.882 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0 11.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 2) (/ 0 1)))) into 0 11.885 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (sqrt 2.0) 2))) into 0 11.886 * [backup-simplify]: Simplify (+ 0 0) into 0 11.887 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 2)) into (* +nan.0 (pow (sqrt 2.0) 2)) 11.890 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (sqrt 2.0) 2)) 0) into (- (* +nan.0 (pow (sqrt 2.0) 2))) 11.892 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- (* +nan.0 (pow (sqrt 2.0) 2))))) into 0 11.892 * [backup-simplify]: Simplify 0 into 0 11.893 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 11.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.896 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 11.897 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2) 11.899 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3) 11.901 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 3)) into (* +nan.0 (pow (sqrt 2.0) 3)) 11.904 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 11.908 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (pow (sqrt 2.0) 3)))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 11.915 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (pow (sqrt 2.0) 3)))) (+ (* 0 0) (* 0 (* 1/2 (sqrt 2.0))))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 11.918 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 11.924 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 2.0) 3))) (pow (* 1 (/ 1 re)) 2)) (+ (* (* +nan.0 (pow (sqrt 2.0) 2)) (* 1 (/ 1 re))) (* +nan.0 (sqrt 2.0)))) into (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow re 2))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) re)) (- (* +nan.0 (sqrt 2.0))))))) 11.925 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (sqrt 2.0))) into (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) 11.925 * [approximate]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 11.925 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 11.925 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 11.925 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.925 * [taylor]: Taking taylor expansion of 2.0 in im 11.925 * [backup-simplify]: Simplify 2.0 into 2.0 11.926 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.926 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 11.926 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 11.927 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.927 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 11.927 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 11.927 * [taylor]: Taking taylor expansion of (/ -1 re) in im 11.927 * [taylor]: Taking taylor expansion of -1 in im 11.927 * [backup-simplify]: Simplify -1 into -1 11.927 * [taylor]: Taking taylor expansion of re in im 11.927 * [backup-simplify]: Simplify re into re 11.927 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 11.927 * [taylor]: Taking taylor expansion of (/ -1 re) in im 11.927 * [taylor]: Taking taylor expansion of -1 in im 11.927 * [backup-simplify]: Simplify -1 into -1 11.927 * [taylor]: Taking taylor expansion of re in im 11.927 * [backup-simplify]: Simplify re into re 11.927 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 11.927 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 11.927 * [taylor]: Taking taylor expansion of (/ -1 im) in im 11.927 * [taylor]: Taking taylor expansion of -1 in im 11.927 * [backup-simplify]: Simplify -1 into -1 11.927 * [taylor]: Taking taylor expansion of im in im 11.927 * [backup-simplify]: Simplify 0 into 0 11.927 * [backup-simplify]: Simplify 1 into 1 11.928 * [backup-simplify]: Simplify (/ -1 1) into -1 11.928 * [taylor]: Taking taylor expansion of (/ -1 im) in im 11.928 * [taylor]: Taking taylor expansion of -1 in im 11.928 * [backup-simplify]: Simplify -1 into -1 11.928 * [taylor]: Taking taylor expansion of im in im 11.928 * [backup-simplify]: Simplify 0 into 0 11.928 * [backup-simplify]: Simplify 1 into 1 11.929 * [backup-simplify]: Simplify (/ -1 1) into -1 11.929 * [backup-simplify]: Simplify (* -1 -1) into 1 11.929 * [backup-simplify]: Simplify (+ 0 1) into 1 11.930 * [backup-simplify]: Simplify (sqrt 1) into 1 11.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.932 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.932 * [backup-simplify]: Simplify (+ 0 0) into 0 11.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.933 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.933 * [taylor]: Taking taylor expansion of re in im 11.933 * [backup-simplify]: Simplify re into re 11.933 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.934 * [backup-simplify]: Simplify (+ 1 0) into 1 11.935 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0) 11.935 * [backup-simplify]: Simplify (sqrt 0) into 0 11.937 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0)) 11.937 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 11.937 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 11.937 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.937 * [taylor]: Taking taylor expansion of 2.0 in re 11.938 * [backup-simplify]: Simplify 2.0 into 2.0 11.938 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.939 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 11.939 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 11.939 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.939 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 11.939 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 11.939 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.939 * [taylor]: Taking taylor expansion of -1 in re 11.939 * [backup-simplify]: Simplify -1 into -1 11.939 * [taylor]: Taking taylor expansion of re in re 11.939 * [backup-simplify]: Simplify 0 into 0 11.939 * [backup-simplify]: Simplify 1 into 1 11.940 * [backup-simplify]: Simplify (/ -1 1) into -1 11.940 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.940 * [taylor]: Taking taylor expansion of -1 in re 11.940 * [backup-simplify]: Simplify -1 into -1 11.940 * [taylor]: Taking taylor expansion of re in re 11.940 * [backup-simplify]: Simplify 0 into 0 11.940 * [backup-simplify]: Simplify 1 into 1 11.940 * [backup-simplify]: Simplify (/ -1 1) into -1 11.940 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 11.940 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.940 * [taylor]: Taking taylor expansion of -1 in re 11.940 * [backup-simplify]: Simplify -1 into -1 11.940 * [taylor]: Taking taylor expansion of im in re 11.941 * [backup-simplify]: Simplify im into im 11.941 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.941 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.941 * [taylor]: Taking taylor expansion of -1 in re 11.941 * [backup-simplify]: Simplify -1 into -1 11.941 * [taylor]: Taking taylor expansion of im in re 11.941 * [backup-simplify]: Simplify im into im 11.941 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.941 * [backup-simplify]: Simplify (* -1 -1) into 1 11.942 * [backup-simplify]: Simplify (+ 1 0) into 1 11.942 * [backup-simplify]: Simplify (sqrt 1) into 1 11.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.944 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.945 * [backup-simplify]: Simplify (+ 0 0) into 0 11.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.946 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.946 * [taylor]: Taking taylor expansion of re in re 11.946 * [backup-simplify]: Simplify 0 into 0 11.947 * [backup-simplify]: Simplify 1 into 1 11.947 * [backup-simplify]: Simplify (/ 1 1) into 1 11.948 * [backup-simplify]: Simplify (- 1) into -1 11.948 * [backup-simplify]: Simplify (+ 1 -1) into 0 11.948 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 11.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.950 * [backup-simplify]: Simplify (- 0) into 0 11.950 * [backup-simplify]: Simplify (+ 0 0) into 0 11.951 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 0)) into 0 11.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.954 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 11.954 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 11.955 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.956 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.957 * [backup-simplify]: Simplify (- 0) into 0 11.958 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 11.959 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 11.960 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into (* 1/2 (/ (sqrt 2.0) (pow im 2))) 11.961 * [backup-simplify]: Simplify (sqrt 0) into 0 11.962 * [backup-simplify]: Simplify (/ (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* 2 (sqrt 0))) into (* +nan.0 (/ (sqrt 2.0) (pow im 2))) 11.962 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 11.962 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 11.962 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.962 * [taylor]: Taking taylor expansion of 2.0 in re 11.962 * [backup-simplify]: Simplify 2.0 into 2.0 11.962 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.963 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 11.963 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 11.963 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.964 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 11.964 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 11.964 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.964 * [taylor]: Taking taylor expansion of -1 in re 11.964 * [backup-simplify]: Simplify -1 into -1 11.964 * [taylor]: Taking taylor expansion of re in re 11.964 * [backup-simplify]: Simplify 0 into 0 11.964 * [backup-simplify]: Simplify 1 into 1 11.964 * [backup-simplify]: Simplify (/ -1 1) into -1 11.964 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.964 * [taylor]: Taking taylor expansion of -1 in re 11.964 * [backup-simplify]: Simplify -1 into -1 11.964 * [taylor]: Taking taylor expansion of re in re 11.964 * [backup-simplify]: Simplify 0 into 0 11.964 * [backup-simplify]: Simplify 1 into 1 11.965 * [backup-simplify]: Simplify (/ -1 1) into -1 11.965 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 11.965 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.965 * [taylor]: Taking taylor expansion of -1 in re 11.965 * [backup-simplify]: Simplify -1 into -1 11.965 * [taylor]: Taking taylor expansion of im in re 11.965 * [backup-simplify]: Simplify im into im 11.965 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.965 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.965 * [taylor]: Taking taylor expansion of -1 in re 11.965 * [backup-simplify]: Simplify -1 into -1 11.965 * [taylor]: Taking taylor expansion of im in re 11.965 * [backup-simplify]: Simplify im into im 11.965 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.966 * [backup-simplify]: Simplify (* -1 -1) into 1 11.966 * [backup-simplify]: Simplify (+ 1 0) into 1 11.967 * [backup-simplify]: Simplify (sqrt 1) into 1 11.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.969 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.969 * [backup-simplify]: Simplify (+ 0 0) into 0 11.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.970 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.970 * [taylor]: Taking taylor expansion of re in re 11.971 * [backup-simplify]: Simplify 0 into 0 11.971 * [backup-simplify]: Simplify 1 into 1 11.971 * [backup-simplify]: Simplify (/ 1 1) into 1 11.971 * [backup-simplify]: Simplify (- 1) into -1 11.972 * [backup-simplify]: Simplify (+ 1 -1) into 0 11.972 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 11.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.973 * [backup-simplify]: Simplify (- 0) into 0 11.974 * [backup-simplify]: Simplify (+ 0 0) into 0 11.974 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 0)) into 0 11.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.977 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 11.977 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 11.978 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.979 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.980 * [backup-simplify]: Simplify (- 0) into 0 11.980 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 11.984 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 11.985 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into (* 1/2 (/ (sqrt 2.0) (pow im 2))) 11.986 * [backup-simplify]: Simplify (sqrt 0) into 0 11.986 * [backup-simplify]: Simplify (/ (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* 2 (sqrt 0))) into (* +nan.0 (/ (sqrt 2.0) (pow im 2))) 11.986 * [taylor]: Taking taylor expansion of 0 in im 11.986 * [backup-simplify]: Simplify 0 into 0 11.986 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 11.987 * [taylor]: Taking taylor expansion of +nan.0 in im 11.987 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.987 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 11.987 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.987 * [taylor]: Taking taylor expansion of 2.0 in im 11.987 * [backup-simplify]: Simplify 2.0 into 2.0 11.987 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.987 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.987 * [taylor]: Taking taylor expansion of im in im 11.987 * [backup-simplify]: Simplify 0 into 0 11.987 * [backup-simplify]: Simplify 1 into 1 11.988 * [backup-simplify]: Simplify (* 1 1) into 1 11.988 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 11.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 11.990 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 11.990 * [backup-simplify]: Simplify 0 into 0 11.990 * [backup-simplify]: Simplify 0 into 0 11.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.992 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 11.992 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 11.992 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 11.992 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 11.992 * [backup-simplify]: Simplify (+ 0 0) into 0 11.993 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.993 * [backup-simplify]: Simplify (- 0) into 0 11.994 * [backup-simplify]: Simplify (+ 0 0) into 0 11.994 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 11.995 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0)))) into 0 11.996 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (/ (sqrt 2.0) (pow im 2))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) 11.996 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) in im 11.996 * [taylor]: Taking taylor expansion of +nan.0 in im 11.996 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.996 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 4)) in im 11.996 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 11.996 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.996 * [taylor]: Taking taylor expansion of 2.0 in im 11.996 * [backup-simplify]: Simplify 2.0 into 2.0 11.997 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.997 * [taylor]: Taking taylor expansion of (pow im 4) in im 11.997 * [taylor]: Taking taylor expansion of im in im 11.997 * [backup-simplify]: Simplify 0 into 0 11.997 * [backup-simplify]: Simplify 1 into 1 11.998 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2) 11.998 * [backup-simplify]: Simplify (* 1 1) into 1 11.998 * [backup-simplify]: Simplify (* 1 1) into 1 11.999 * [backup-simplify]: Simplify (/ (pow (sqrt 2.0) 2) 1) into (pow (sqrt 2.0) 2) 12.000 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 12.001 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 12.002 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 12.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.004 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0 12.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 2) (/ 0 1)))) into 0 12.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.006 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 12.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.010 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))) into 0 12.010 * [backup-simplify]: Simplify 0 into 0 12.011 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 12.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.014 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 12.014 * [backup-simplify]: Simplify 0 into 0 12.014 * [backup-simplify]: Simplify 0 into 0 12.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.017 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 12.018 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 12.018 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 12.018 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 12.019 * [backup-simplify]: Simplify (+ 0 0) into 0 12.020 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 12.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.021 * [backup-simplify]: Simplify (- 0) into 0 12.022 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 12.023 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 12.025 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (- (* 1/8 (/ 1 (pow im 4))))) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))))) into (- (* 1/8 (/ (sqrt 2.0) (pow im 4)))) 12.029 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ (sqrt 2.0) (pow im 4)))) (+ (* 2 (* (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6)))))) 12.029 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6)))))) in im 12.029 * [taylor]: Taking taylor expansion of +nan.0 in im 12.029 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.029 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))))) in im 12.030 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 2.0) (pow im 4))) in im 12.030 * [taylor]: Taking taylor expansion of 1/8 in im 12.030 * [backup-simplify]: Simplify 1/8 into 1/8 12.030 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 12.030 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.030 * [taylor]: Taking taylor expansion of 2.0 in im 12.030 * [backup-simplify]: Simplify 2.0 into 2.0 12.031 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.032 * [taylor]: Taking taylor expansion of (pow im 4) in im 12.032 * [taylor]: Taking taylor expansion of im in im 12.032 * [backup-simplify]: Simplify 0 into 0 12.032 * [backup-simplify]: Simplify 1 into 1 12.032 * [backup-simplify]: Simplify (* 1 1) into 1 12.033 * [backup-simplify]: Simplify (* 1 1) into 1 12.034 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 12.034 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6)))) in im 12.034 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))) in im 12.034 * [taylor]: Taking taylor expansion of +nan.0 in im 12.034 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.034 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 3) (pow im 6)) in im 12.034 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 12.034 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.034 * [taylor]: Taking taylor expansion of 2.0 in im 12.034 * [backup-simplify]: Simplify 2.0 into 2.0 12.035 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.036 * [taylor]: Taking taylor expansion of (pow im 6) in im 12.036 * [taylor]: Taking taylor expansion of im in im 12.036 * [backup-simplify]: Simplify 0 into 0 12.036 * [backup-simplify]: Simplify 1 into 1 12.037 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2) 12.039 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3) 12.039 * [backup-simplify]: Simplify (* 1 1) into 1 12.040 * [backup-simplify]: Simplify (* 1 1) into 1 12.040 * [backup-simplify]: Simplify (* 1 1) into 1 12.042 * [backup-simplify]: Simplify (/ (pow (sqrt 2.0) 3) 1) into (pow (sqrt 2.0) 3) 12.043 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 12.044 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 12.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 12.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.054 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 12.055 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 12.056 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 12.058 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 12.059 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 12.061 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 12.062 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0 12.063 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 12.064 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 12.065 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0 12.067 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))))) into 0 12.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.081 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow (sqrt 2.0) 2))) into 0 12.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)))) into 0 12.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.085 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))) into 0 12.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.090 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))) into 0 12.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.094 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))) into 0 12.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.100 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3))))))) into 0 12.100 * [backup-simplify]: Simplify (- 0) into 0 12.100 * [backup-simplify]: Simplify (+ 0 0) into 0 12.102 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 12.103 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3)))))) into 0 12.104 * [backup-simplify]: Simplify (- 0) into 0 12.104 * [backup-simplify]: Simplify (+ 0 0) into 0 12.105 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (sqrt 2.0))) into 0 12.107 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3))))) into 0 12.107 * [backup-simplify]: Simplify (- 0) into 0 12.108 * [backup-simplify]: Simplify (+ 0 0) into 0 12.108 * [backup-simplify]: Simplify (* 1/8 (sqrt 2.0)) into (* 1/8 (sqrt 2.0)) 12.110 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3)))) into 0 12.110 * [backup-simplify]: Simplify (- 0) into 0 12.112 * [backup-simplify]: Simplify (+ (* 1/8 (sqrt 2.0)) 0) into (* 1/8 (sqrt 2.0)) 12.113 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (sqrt 2.0) 3))) into 0 12.113 * [backup-simplify]: Simplify (- 0) into 0 12.114 * [backup-simplify]: Simplify (+ 0 0) into 0 12.116 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 3)) into (* +nan.0 (pow (sqrt 2.0) 3)) 12.118 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 12.127 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (pow (sqrt 2.0) 3)))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 12.130 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* 1/8 (sqrt 2.0))) (+ (* 0 0) (* 0 (- (* +nan.0 (pow (sqrt 2.0) 3))))))))) into 0 12.131 * [backup-simplify]: Simplify 0 into 0 12.131 * [backup-simplify]: Simplify 0 into 0 12.131 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 12.133 * [backup-simplify]: Simplify (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) 12.133 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 12.133 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 12.133 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 12.133 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 12.133 * [taylor]: Taking taylor expansion of re in im 12.133 * [backup-simplify]: Simplify re into re 12.133 * [taylor]: Taking taylor expansion of (hypot re im) in im 12.133 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 12.133 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 12.133 * [taylor]: Taking taylor expansion of (* re re) in im 12.133 * [taylor]: Taking taylor expansion of re in im 12.133 * [backup-simplify]: Simplify re into re 12.133 * [taylor]: Taking taylor expansion of re in im 12.133 * [backup-simplify]: Simplify re into re 12.133 * [taylor]: Taking taylor expansion of (* im im) in im 12.133 * [taylor]: Taking taylor expansion of im in im 12.133 * [backup-simplify]: Simplify 0 into 0 12.133 * [backup-simplify]: Simplify 1 into 1 12.133 * [taylor]: Taking taylor expansion of im in im 12.133 * [backup-simplify]: Simplify 0 into 0 12.133 * [backup-simplify]: Simplify 1 into 1 12.134 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.134 * [backup-simplify]: Simplify (* 0 0) into 0 12.134 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 12.134 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.134 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.135 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.135 * [backup-simplify]: Simplify (+ 0 0) into 0 12.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.136 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 12.136 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 12.136 * [backup-simplify]: Simplify (+ 0 0) into 0 12.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 12.136 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.136 * [taylor]: Taking taylor expansion of 2.0 in im 12.136 * [backup-simplify]: Simplify 2.0 into 2.0 12.137 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.137 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 12.138 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 12.138 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 12.138 * [taylor]: Taking taylor expansion of re in re 12.138 * [backup-simplify]: Simplify 0 into 0 12.138 * [backup-simplify]: Simplify 1 into 1 12.138 * [taylor]: Taking taylor expansion of (hypot re im) in re 12.138 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 12.138 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 12.138 * [taylor]: Taking taylor expansion of (* re re) in re 12.138 * [taylor]: Taking taylor expansion of re in re 12.138 * [backup-simplify]: Simplify 0 into 0 12.138 * [backup-simplify]: Simplify 1 into 1 12.138 * [taylor]: Taking taylor expansion of re in re 12.138 * [backup-simplify]: Simplify 0 into 0 12.138 * [backup-simplify]: Simplify 1 into 1 12.138 * [taylor]: Taking taylor expansion of (* im im) in re 12.138 * [taylor]: Taking taylor expansion of im in re 12.138 * [backup-simplify]: Simplify im into im 12.138 * [taylor]: Taking taylor expansion of im in re 12.138 * [backup-simplify]: Simplify im into im 12.139 * [backup-simplify]: Simplify (* 0 0) into 0 12.139 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.139 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 12.139 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.140 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.140 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.140 * [backup-simplify]: Simplify (+ 0 0) into 0 12.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.140 * [backup-simplify]: Simplify (+ 0 im) into im 12.140 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 12.141 * [backup-simplify]: Simplify (+ 1 0) into 1 12.141 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 12.141 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.141 * [taylor]: Taking taylor expansion of 2.0 in re 12.141 * [backup-simplify]: Simplify 2.0 into 2.0 12.141 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.142 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 12.142 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 12.142 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 12.142 * [taylor]: Taking taylor expansion of re in re 12.142 * [backup-simplify]: Simplify 0 into 0 12.142 * [backup-simplify]: Simplify 1 into 1 12.142 * [taylor]: Taking taylor expansion of (hypot re im) in re 12.143 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 12.143 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 12.143 * [taylor]: Taking taylor expansion of (* re re) in re 12.143 * [taylor]: Taking taylor expansion of re in re 12.143 * [backup-simplify]: Simplify 0 into 0 12.143 * [backup-simplify]: Simplify 1 into 1 12.143 * [taylor]: Taking taylor expansion of re in re 12.143 * [backup-simplify]: Simplify 0 into 0 12.143 * [backup-simplify]: Simplify 1 into 1 12.143 * [taylor]: Taking taylor expansion of (* im im) in re 12.143 * [taylor]: Taking taylor expansion of im in re 12.143 * [backup-simplify]: Simplify im into im 12.143 * [taylor]: Taking taylor expansion of im in re 12.143 * [backup-simplify]: Simplify im into im 12.143 * [backup-simplify]: Simplify (* 0 0) into 0 12.143 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.144 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 12.144 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.144 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.145 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.145 * [backup-simplify]: Simplify (+ 0 0) into 0 12.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.145 * [backup-simplify]: Simplify (+ 0 im) into im 12.145 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 12.146 * [backup-simplify]: Simplify (+ 1 0) into 1 12.146 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 12.146 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.146 * [taylor]: Taking taylor expansion of 2.0 in re 12.146 * [backup-simplify]: Simplify 2.0 into 2.0 12.146 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.147 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im)) 12.147 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 12.147 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.147 * [taylor]: Taking taylor expansion of 2.0 in im 12.147 * [backup-simplify]: Simplify 2.0 into 2.0 12.148 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.148 * [taylor]: Taking taylor expansion of (sqrt im) in im 12.148 * [taylor]: Taking taylor expansion of im in im 12.148 * [backup-simplify]: Simplify 0 into 0 12.148 * [backup-simplify]: Simplify 1 into 1 12.148 * [backup-simplify]: Simplify (sqrt 0) into 0 12.149 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.150 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 12.150 * [backup-simplify]: Simplify 0 into 0 12.150 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 12.150 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 12.150 * [taylor]: Taking taylor expansion of 1/2 in im 12.150 * [backup-simplify]: Simplify 1/2 into 1/2 12.150 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 12.150 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.150 * [taylor]: Taking taylor expansion of 2.0 in im 12.150 * [backup-simplify]: Simplify 2.0 into 2.0 12.150 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.151 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 12.151 * [taylor]: Taking taylor expansion of (/ 1 im) in im 12.151 * [taylor]: Taking taylor expansion of im in im 12.151 * [backup-simplify]: Simplify 0 into 0 12.151 * [backup-simplify]: Simplify 1 into 1 12.151 * [backup-simplify]: Simplify (/ 1 1) into 1 12.151 * [backup-simplify]: Simplify (sqrt 0) into 0 12.152 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.153 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 12.154 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 12.156 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 12.157 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 12.158 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 12.159 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 12.160 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 12.160 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 12.160 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 12.161 * [backup-simplify]: Simplify (+ 1 0) into 1 12.161 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 12.161 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 12.162 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3)))) 12.163 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* (* 1/2 (sqrt (/ 1 im))) 0) (* (* 1/8 (sqrt (/ 1 (pow im 3)))) (sqrt 2.0)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) 12.163 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 12.163 * [taylor]: Taking taylor expansion of 1/8 in im 12.163 * [backup-simplify]: Simplify 1/8 into 1/8 12.163 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 12.163 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.163 * [taylor]: Taking taylor expansion of 2.0 in im 12.163 * [backup-simplify]: Simplify 2.0 into 2.0 12.163 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.164 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 12.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 12.164 * [taylor]: Taking taylor expansion of (pow im 3) in im 12.164 * [taylor]: Taking taylor expansion of im in im 12.164 * [backup-simplify]: Simplify 0 into 0 12.164 * [backup-simplify]: Simplify 1 into 1 12.164 * [backup-simplify]: Simplify (* 1 1) into 1 12.164 * [backup-simplify]: Simplify (* 1 1) into 1 12.165 * [backup-simplify]: Simplify (/ 1 1) into 1 12.165 * [backup-simplify]: Simplify (sqrt 0) into 0 12.166 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.169 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.169 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 12.171 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 12.172 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 12.172 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 12.175 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 12.176 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 12.179 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 12.181 * [backup-simplify]: Simplify (* (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) 12.181 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 12.181 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 12.181 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 12.181 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 12.181 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 12.182 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 12.182 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 12.182 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 12.182 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.182 * [taylor]: Taking taylor expansion of re in im 12.182 * [backup-simplify]: Simplify re into re 12.182 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.182 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.182 * [taylor]: Taking taylor expansion of re in im 12.182 * [backup-simplify]: Simplify re into re 12.182 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.182 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 12.182 * [taylor]: Taking taylor expansion of (/ 1 im) in im 12.182 * [taylor]: Taking taylor expansion of im in im 12.182 * [backup-simplify]: Simplify 0 into 0 12.182 * [backup-simplify]: Simplify 1 into 1 12.183 * [backup-simplify]: Simplify (/ 1 1) into 1 12.183 * [taylor]: Taking taylor expansion of (/ 1 im) in im 12.183 * [taylor]: Taking taylor expansion of im in im 12.183 * [backup-simplify]: Simplify 0 into 0 12.183 * [backup-simplify]: Simplify 1 into 1 12.183 * [backup-simplify]: Simplify (/ 1 1) into 1 12.184 * [backup-simplify]: Simplify (* 1 1) into 1 12.184 * [backup-simplify]: Simplify (+ 0 1) into 1 12.185 * [backup-simplify]: Simplify (sqrt 1) into 1 12.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.187 * [backup-simplify]: Simplify (+ 0 0) into 0 12.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.188 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.188 * [taylor]: Taking taylor expansion of re in im 12.188 * [backup-simplify]: Simplify re into re 12.188 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.189 * [backup-simplify]: Simplify (+ 1 0) into 1 12.189 * [backup-simplify]: Simplify (sqrt 0) into 0 12.191 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.191 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.191 * [taylor]: Taking taylor expansion of 2.0 in im 12.191 * [backup-simplify]: Simplify 2.0 into 2.0 12.191 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.192 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 12.192 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 12.192 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 12.192 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 12.192 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 12.192 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 12.192 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 12.192 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.192 * [taylor]: Taking taylor expansion of re in re 12.193 * [backup-simplify]: Simplify 0 into 0 12.193 * [backup-simplify]: Simplify 1 into 1 12.193 * [backup-simplify]: Simplify (/ 1 1) into 1 12.193 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.193 * [taylor]: Taking taylor expansion of re in re 12.193 * [backup-simplify]: Simplify 0 into 0 12.193 * [backup-simplify]: Simplify 1 into 1 12.193 * [backup-simplify]: Simplify (/ 1 1) into 1 12.194 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 12.194 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.194 * [taylor]: Taking taylor expansion of im in re 12.194 * [backup-simplify]: Simplify im into im 12.194 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.194 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.194 * [taylor]: Taking taylor expansion of im in re 12.194 * [backup-simplify]: Simplify im into im 12.194 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.194 * [backup-simplify]: Simplify (* 1 1) into 1 12.195 * [backup-simplify]: Simplify (+ 1 0) into 1 12.195 * [backup-simplify]: Simplify (sqrt 1) into 1 12.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.198 * [backup-simplify]: Simplify (+ 0 0) into 0 12.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.199 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.199 * [taylor]: Taking taylor expansion of re in re 12.199 * [backup-simplify]: Simplify 0 into 0 12.199 * [backup-simplify]: Simplify 1 into 1 12.199 * [backup-simplify]: Simplify (/ 1 1) into 1 12.200 * [backup-simplify]: Simplify (+ 1 1) into 2 12.200 * [backup-simplify]: Simplify (sqrt 0) into 0 12.201 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 12.201 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.201 * [taylor]: Taking taylor expansion of 2.0 in re 12.201 * [backup-simplify]: Simplify 2.0 into 2.0 12.202 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.203 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 12.203 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 12.203 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 12.203 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 12.203 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 12.203 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 12.203 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 12.203 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.203 * [taylor]: Taking taylor expansion of re in re 12.203 * [backup-simplify]: Simplify 0 into 0 12.203 * [backup-simplify]: Simplify 1 into 1 12.203 * [backup-simplify]: Simplify (/ 1 1) into 1 12.203 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.203 * [taylor]: Taking taylor expansion of re in re 12.203 * [backup-simplify]: Simplify 0 into 0 12.203 * [backup-simplify]: Simplify 1 into 1 12.204 * [backup-simplify]: Simplify (/ 1 1) into 1 12.204 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 12.204 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.204 * [taylor]: Taking taylor expansion of im in re 12.204 * [backup-simplify]: Simplify im into im 12.204 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.204 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.204 * [taylor]: Taking taylor expansion of im in re 12.204 * [backup-simplify]: Simplify im into im 12.204 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.204 * [backup-simplify]: Simplify (* 1 1) into 1 12.204 * [backup-simplify]: Simplify (+ 1 0) into 1 12.204 * [backup-simplify]: Simplify (sqrt 1) into 1 12.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.206 * [backup-simplify]: Simplify (+ 0 0) into 0 12.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.206 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.206 * [taylor]: Taking taylor expansion of re in re 12.206 * [backup-simplify]: Simplify 0 into 0 12.206 * [backup-simplify]: Simplify 1 into 1 12.207 * [backup-simplify]: Simplify (/ 1 1) into 1 12.207 * [backup-simplify]: Simplify (+ 1 1) into 2 12.207 * [backup-simplify]: Simplify (sqrt 0) into 0 12.208 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 12.208 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.208 * [taylor]: Taking taylor expansion of 2.0 in re 12.208 * [backup-simplify]: Simplify 2.0 into 2.0 12.208 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.209 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0 12.209 * [taylor]: Taking taylor expansion of 0 in im 12.209 * [backup-simplify]: Simplify 0 into 0 12.210 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 12.210 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 12.210 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 12.210 * [taylor]: Taking taylor expansion of +nan.0 in im 12.210 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.210 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.210 * [taylor]: Taking taylor expansion of 2.0 in im 12.210 * [backup-simplify]: Simplify 2.0 into 2.0 12.211 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.211 * [backup-simplify]: Simplify 0 into 0 12.212 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 12.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.212 * [backup-simplify]: Simplify (+ 0 0) into 0 12.214 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.216 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 12.216 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 12.216 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 12.216 * [taylor]: Taking taylor expansion of +nan.0 in im 12.216 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.216 * [taylor]: Taking taylor expansion of 2.0 in im 12.216 * [backup-simplify]: Simplify 2.0 into 2.0 12.217 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.218 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 12.219 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 12.219 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 12.219 * [backup-simplify]: Simplify 0 into 0 12.220 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 12.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.222 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 12.222 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.223 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.223 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 12.225 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 12.226 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 12.226 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 12.226 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 12.226 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 12.226 * [taylor]: Taking taylor expansion of +nan.0 in im 12.226 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.226 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 12.226 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.226 * [taylor]: Taking taylor expansion of 2.0 in im 12.226 * [backup-simplify]: Simplify 2.0 into 2.0 12.226 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.227 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.227 * [taylor]: Taking taylor expansion of im in im 12.227 * [backup-simplify]: Simplify 0 into 0 12.227 * [backup-simplify]: Simplify 1 into 1 12.227 * [backup-simplify]: Simplify (* 1 1) into 1 12.228 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 12.228 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 12.228 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 12.228 * [taylor]: Taking taylor expansion of +nan.0 in im 12.228 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.228 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.228 * [taylor]: Taking taylor expansion of 2.0 in im 12.228 * [backup-simplify]: Simplify 2.0 into 2.0 12.228 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 12.230 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 12.230 * [backup-simplify]: Simplify (+ 0 0) into 0 12.230 * [backup-simplify]: Simplify (- 0) into 0 12.230 * [backup-simplify]: Simplify 0 into 0 12.231 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 12.235 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 12.237 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 12.238 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 12.239 * [backup-simplify]: Simplify (- 0) into 0 12.239 * [backup-simplify]: Simplify 0 into 0 12.239 * [backup-simplify]: Simplify 0 into 0 12.240 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 12.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 12.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 12.244 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 12.244 * [backup-simplify]: Simplify (+ 0 0) into 0 12.245 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.246 * [backup-simplify]: Simplify (+ 0 0) into 0 12.248 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 12.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (sqrt 2.0)))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 12.250 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 12.250 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 12.251 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 12.251 * [taylor]: Taking taylor expansion of +nan.0 in im 12.251 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.251 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 12.251 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.251 * [taylor]: Taking taylor expansion of 2.0 in im 12.251 * [backup-simplify]: Simplify 2.0 into 2.0 12.251 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.252 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.252 * [taylor]: Taking taylor expansion of im in im 12.252 * [backup-simplify]: Simplify 0 into 0 12.252 * [backup-simplify]: Simplify 1 into 1 12.252 * [backup-simplify]: Simplify (* 1 1) into 1 12.253 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 12.253 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 12.253 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 12.253 * [taylor]: Taking taylor expansion of +nan.0 in im 12.253 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.253 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.254 * [taylor]: Taking taylor expansion of 2.0 in im 12.254 * [backup-simplify]: Simplify 2.0 into 2.0 12.254 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 12.257 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 12.258 * [backup-simplify]: Simplify (+ 0 0) into 0 12.258 * [backup-simplify]: Simplify (- 0) into 0 12.258 * [backup-simplify]: Simplify 0 into 0 12.259 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 12.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.261 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 12.261 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 12.262 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 12.264 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 12.265 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 12.266 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 12.269 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 12.271 * [backup-simplify]: Simplify (* (* (sqrt (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) 12.271 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 12.271 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 12.271 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.271 * [taylor]: Taking taylor expansion of 2.0 in im 12.271 * [backup-simplify]: Simplify 2.0 into 2.0 12.271 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.272 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 12.272 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 12.272 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 12.272 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 12.272 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 12.272 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 12.272 * [taylor]: Taking taylor expansion of (/ -1 re) in im 12.272 * [taylor]: Taking taylor expansion of -1 in im 12.272 * [backup-simplify]: Simplify -1 into -1 12.272 * [taylor]: Taking taylor expansion of re in im 12.272 * [backup-simplify]: Simplify re into re 12.272 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 12.272 * [taylor]: Taking taylor expansion of (/ -1 re) in im 12.272 * [taylor]: Taking taylor expansion of -1 in im 12.272 * [backup-simplify]: Simplify -1 into -1 12.272 * [taylor]: Taking taylor expansion of re in im 12.272 * [backup-simplify]: Simplify re into re 12.272 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 12.272 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 12.272 * [taylor]: Taking taylor expansion of (/ -1 im) in im 12.272 * [taylor]: Taking taylor expansion of -1 in im 12.272 * [backup-simplify]: Simplify -1 into -1 12.272 * [taylor]: Taking taylor expansion of im in im 12.272 * [backup-simplify]: Simplify 0 into 0 12.272 * [backup-simplify]: Simplify 1 into 1 12.273 * [backup-simplify]: Simplify (/ -1 1) into -1 12.273 * [taylor]: Taking taylor expansion of (/ -1 im) in im 12.273 * [taylor]: Taking taylor expansion of -1 in im 12.273 * [backup-simplify]: Simplify -1 into -1 12.273 * [taylor]: Taking taylor expansion of im in im 12.273 * [backup-simplify]: Simplify 0 into 0 12.273 * [backup-simplify]: Simplify 1 into 1 12.273 * [backup-simplify]: Simplify (/ -1 1) into -1 12.273 * [backup-simplify]: Simplify (* -1 -1) into 1 12.274 * [backup-simplify]: Simplify (+ 0 1) into 1 12.274 * [backup-simplify]: Simplify (sqrt 1) into 1 12.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.275 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.276 * [backup-simplify]: Simplify (+ 0 0) into 0 12.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.276 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.276 * [taylor]: Taking taylor expansion of re in im 12.276 * [backup-simplify]: Simplify re into re 12.276 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.276 * [backup-simplify]: Simplify (+ 1 0) into 1 12.277 * [backup-simplify]: Simplify (sqrt 0) into 0 12.277 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.277 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 12.277 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.277 * [taylor]: Taking taylor expansion of 2.0 in re 12.278 * [backup-simplify]: Simplify 2.0 into 2.0 12.278 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.278 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 12.278 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 12.278 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 12.278 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 12.278 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 12.278 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 12.278 * [taylor]: Taking taylor expansion of (/ -1 re) in re 12.278 * [taylor]: Taking taylor expansion of -1 in re 12.278 * [backup-simplify]: Simplify -1 into -1 12.278 * [taylor]: Taking taylor expansion of re in re 12.278 * [backup-simplify]: Simplify 0 into 0 12.279 * [backup-simplify]: Simplify 1 into 1 12.279 * [backup-simplify]: Simplify (/ -1 1) into -1 12.279 * [taylor]: Taking taylor expansion of (/ -1 re) in re 12.279 * [taylor]: Taking taylor expansion of -1 in re 12.279 * [backup-simplify]: Simplify -1 into -1 12.279 * [taylor]: Taking taylor expansion of re in re 12.279 * [backup-simplify]: Simplify 0 into 0 12.279 * [backup-simplify]: Simplify 1 into 1 12.279 * [backup-simplify]: Simplify (/ -1 1) into -1 12.279 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 12.279 * [taylor]: Taking taylor expansion of (/ -1 im) in re 12.279 * [taylor]: Taking taylor expansion of -1 in re 12.279 * [backup-simplify]: Simplify -1 into -1 12.279 * [taylor]: Taking taylor expansion of im in re 12.279 * [backup-simplify]: Simplify im into im 12.279 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 12.279 * [taylor]: Taking taylor expansion of (/ -1 im) in re 12.279 * [taylor]: Taking taylor expansion of -1 in re 12.279 * [backup-simplify]: Simplify -1 into -1 12.279 * [taylor]: Taking taylor expansion of im in re 12.279 * [backup-simplify]: Simplify im into im 12.279 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 12.280 * [backup-simplify]: Simplify (* -1 -1) into 1 12.280 * [backup-simplify]: Simplify (+ 1 0) into 1 12.280 * [backup-simplify]: Simplify (sqrt 1) into 1 12.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.282 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.282 * [backup-simplify]: Simplify (+ 0 0) into 0 12.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.282 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.282 * [taylor]: Taking taylor expansion of re in re 12.282 * [backup-simplify]: Simplify 0 into 0 12.282 * [backup-simplify]: Simplify 1 into 1 12.282 * [backup-simplify]: Simplify (/ 1 1) into 1 12.283 * [backup-simplify]: Simplify (- 1) into -1 12.283 * [backup-simplify]: Simplify (+ 1 -1) into 0 12.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.284 * [backup-simplify]: Simplify (- 0) into 0 12.284 * [backup-simplify]: Simplify (+ 0 0) into 0 12.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.285 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 12.285 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 12.286 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.286 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.287 * [backup-simplify]: Simplify (- 0) into 0 12.287 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 12.288 * [backup-simplify]: Simplify (sqrt 0) into 0 12.288 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 12.288 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 12.288 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.288 * [taylor]: Taking taylor expansion of 2.0 in re 12.288 * [backup-simplify]: Simplify 2.0 into 2.0 12.288 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.289 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 12.289 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 12.289 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 12.289 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 12.289 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 12.289 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 12.289 * [taylor]: Taking taylor expansion of (/ -1 re) in re 12.289 * [taylor]: Taking taylor expansion of -1 in re 12.289 * [backup-simplify]: Simplify -1 into -1 12.289 * [taylor]: Taking taylor expansion of re in re 12.289 * [backup-simplify]: Simplify 0 into 0 12.289 * [backup-simplify]: Simplify 1 into 1 12.289 * [backup-simplify]: Simplify (/ -1 1) into -1 12.289 * [taylor]: Taking taylor expansion of (/ -1 re) in re 12.289 * [taylor]: Taking taylor expansion of -1 in re 12.289 * [backup-simplify]: Simplify -1 into -1 12.289 * [taylor]: Taking taylor expansion of re in re 12.289 * [backup-simplify]: Simplify 0 into 0 12.289 * [backup-simplify]: Simplify 1 into 1 12.290 * [backup-simplify]: Simplify (/ -1 1) into -1 12.290 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 12.290 * [taylor]: Taking taylor expansion of (/ -1 im) in re 12.290 * [taylor]: Taking taylor expansion of -1 in re 12.290 * [backup-simplify]: Simplify -1 into -1 12.290 * [taylor]: Taking taylor expansion of im in re 12.290 * [backup-simplify]: Simplify im into im 12.290 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 12.290 * [taylor]: Taking taylor expansion of (/ -1 im) in re 12.290 * [taylor]: Taking taylor expansion of -1 in re 12.290 * [backup-simplify]: Simplify -1 into -1 12.290 * [taylor]: Taking taylor expansion of im in re 12.290 * [backup-simplify]: Simplify im into im 12.290 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 12.290 * [backup-simplify]: Simplify (* -1 -1) into 1 12.290 * [backup-simplify]: Simplify (+ 1 0) into 1 12.291 * [backup-simplify]: Simplify (sqrt 1) into 1 12.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.292 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.292 * [backup-simplify]: Simplify (+ 0 0) into 0 12.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.293 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.293 * [taylor]: Taking taylor expansion of re in re 12.293 * [backup-simplify]: Simplify 0 into 0 12.293 * [backup-simplify]: Simplify 1 into 1 12.293 * [backup-simplify]: Simplify (/ 1 1) into 1 12.293 * [backup-simplify]: Simplify (- 1) into -1 12.294 * [backup-simplify]: Simplify (+ 1 -1) into 0 12.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.294 * [backup-simplify]: Simplify (- 0) into 0 12.295 * [backup-simplify]: Simplify (+ 0 0) into 0 12.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.296 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 12.296 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 12.296 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.297 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.298 * [backup-simplify]: Simplify (- 0) into 0 12.298 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 12.298 * [backup-simplify]: Simplify (sqrt 0) into 0 12.299 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 12.299 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 12.299 * [taylor]: Taking taylor expansion of 0 in im 12.299 * [backup-simplify]: Simplify 0 into 0 12.300 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 12.300 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 12.300 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 12.300 * [taylor]: Taking taylor expansion of +nan.0 in im 12.300 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.300 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 12.300 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.300 * [taylor]: Taking taylor expansion of 2.0 in im 12.300 * [backup-simplify]: Simplify 2.0 into 2.0 12.300 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.301 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.301 * [taylor]: Taking taylor expansion of im in im 12.301 * [backup-simplify]: Simplify 0 into 0 12.301 * [backup-simplify]: Simplify 1 into 1 12.301 * [backup-simplify]: Simplify (* 1 1) into 1 12.301 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 12.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 12.303 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 12.303 * [backup-simplify]: Simplify (- 0) into 0 12.303 * [backup-simplify]: Simplify 0 into 0 12.303 * [backup-simplify]: Simplify 0 into 0 12.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.305 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 12.305 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 12.305 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 12.305 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 12.306 * [backup-simplify]: Simplify (+ 0 0) into 0 12.306 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.307 * [backup-simplify]: Simplify (- 0) into 0 12.307 * [backup-simplify]: Simplify (+ 0 0) into 0 12.308 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 12.308 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 12.309 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 12.309 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 12.309 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 12.309 * [taylor]: Taking taylor expansion of +nan.0 in im 12.309 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.309 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 12.309 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.309 * [taylor]: Taking taylor expansion of 2.0 in im 12.309 * [backup-simplify]: Simplify 2.0 into 2.0 12.310 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.310 * [taylor]: Taking taylor expansion of (pow im 4) in im 12.310 * [taylor]: Taking taylor expansion of im in im 12.310 * [backup-simplify]: Simplify 0 into 0 12.310 * [backup-simplify]: Simplify 1 into 1 12.310 * [backup-simplify]: Simplify (* 1 1) into 1 12.311 * [backup-simplify]: Simplify (* 1 1) into 1 12.311 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 12.312 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 12.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 12.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 12.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.322 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 12.322 * [backup-simplify]: Simplify (- 0) into 0 12.322 * [backup-simplify]: Simplify 0 into 0 12.323 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 12.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.326 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 12.326 * [backup-simplify]: Simplify (- 0) into 0 12.326 * [backup-simplify]: Simplify 0 into 0 12.326 * [backup-simplify]: Simplify 0 into 0 12.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.329 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 12.329 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 12.330 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 12.330 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 12.330 * [backup-simplify]: Simplify (+ 0 0) into 0 12.332 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 12.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.333 * [backup-simplify]: Simplify (- 0) into 0 12.333 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 12.334 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) 12.335 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 12.336 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 12.337 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 12.337 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 12.337 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 12.337 * [taylor]: Taking taylor expansion of +nan.0 in im 12.337 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.337 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 12.337 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.337 * [taylor]: Taking taylor expansion of 2.0 in im 12.337 * [backup-simplify]: Simplify 2.0 into 2.0 12.337 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.338 * [taylor]: Taking taylor expansion of (pow im 4) in im 12.338 * [taylor]: Taking taylor expansion of im in im 12.338 * [backup-simplify]: Simplify 0 into 0 12.338 * [backup-simplify]: Simplify 1 into 1 12.338 * [backup-simplify]: Simplify (* 1 1) into 1 12.339 * [backup-simplify]: Simplify (* 1 1) into 1 12.339 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 12.339 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 12.339 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 12.339 * [taylor]: Taking taylor expansion of +nan.0 in im 12.339 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.339 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 12.339 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.339 * [taylor]: Taking taylor expansion of 2.0 in im 12.340 * [backup-simplify]: Simplify 2.0 into 2.0 12.340 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.341 * [taylor]: Taking taylor expansion of (pow im 6) in im 12.341 * [taylor]: Taking taylor expansion of im in im 12.341 * [backup-simplify]: Simplify 0 into 0 12.341 * [backup-simplify]: Simplify 1 into 1 12.341 * [backup-simplify]: Simplify (* 1 1) into 1 12.341 * [backup-simplify]: Simplify (* 1 1) into 1 12.342 * [backup-simplify]: Simplify (* 1 1) into 1 12.348 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 12.349 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 12.350 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 12.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 12.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.358 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 12.359 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 12.360 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 12.362 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 12.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 12.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 12.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.376 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 12.376 * [backup-simplify]: Simplify (- 0) into 0 12.376 * [backup-simplify]: Simplify (+ 0 0) into 0 12.376 * [backup-simplify]: Simplify (- 0) into 0 12.376 * [backup-simplify]: Simplify 0 into 0 12.376 * [backup-simplify]: Simplify 0 into 0 12.376 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2) 12.377 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 12.377 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 12.377 * [taylor]: Taking taylor expansion of (hypot re im) in im 12.377 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 12.377 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 12.377 * [taylor]: Taking taylor expansion of (* re re) in im 12.377 * [taylor]: Taking taylor expansion of re in im 12.377 * [backup-simplify]: Simplify re into re 12.377 * [taylor]: Taking taylor expansion of re in im 12.377 * [backup-simplify]: Simplify re into re 12.377 * [taylor]: Taking taylor expansion of (* im im) in im 12.377 * [taylor]: Taking taylor expansion of im in im 12.377 * [backup-simplify]: Simplify 0 into 0 12.377 * [backup-simplify]: Simplify 1 into 1 12.377 * [taylor]: Taking taylor expansion of im in im 12.377 * [backup-simplify]: Simplify 0 into 0 12.377 * [backup-simplify]: Simplify 1 into 1 12.377 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.377 * [backup-simplify]: Simplify (* 0 0) into 0 12.377 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 12.377 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.377 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.378 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.378 * [backup-simplify]: Simplify (+ 0 0) into 0 12.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.378 * [taylor]: Taking taylor expansion of (hypot re im) in re 12.378 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 12.378 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 12.378 * [taylor]: Taking taylor expansion of (* re re) in re 12.378 * [taylor]: Taking taylor expansion of re in re 12.378 * [backup-simplify]: Simplify 0 into 0 12.378 * [backup-simplify]: Simplify 1 into 1 12.378 * [taylor]: Taking taylor expansion of re in re 12.378 * [backup-simplify]: Simplify 0 into 0 12.378 * [backup-simplify]: Simplify 1 into 1 12.378 * [taylor]: Taking taylor expansion of (* im im) in re 12.378 * [taylor]: Taking taylor expansion of im in re 12.378 * [backup-simplify]: Simplify im into im 12.378 * [taylor]: Taking taylor expansion of im in re 12.378 * [backup-simplify]: Simplify im into im 12.379 * [backup-simplify]: Simplify (* 0 0) into 0 12.379 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.379 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 12.379 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.379 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.379 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.380 * [backup-simplify]: Simplify (+ 0 0) into 0 12.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.380 * [taylor]: Taking taylor expansion of (hypot re im) in re 12.380 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 12.380 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 12.380 * [taylor]: Taking taylor expansion of (* re re) in re 12.380 * [taylor]: Taking taylor expansion of re in re 12.380 * [backup-simplify]: Simplify 0 into 0 12.380 * [backup-simplify]: Simplify 1 into 1 12.380 * [taylor]: Taking taylor expansion of re in re 12.380 * [backup-simplify]: Simplify 0 into 0 12.380 * [backup-simplify]: Simplify 1 into 1 12.380 * [taylor]: Taking taylor expansion of (* im im) in re 12.380 * [taylor]: Taking taylor expansion of im in re 12.380 * [backup-simplify]: Simplify im into im 12.380 * [taylor]: Taking taylor expansion of im in re 12.380 * [backup-simplify]: Simplify im into im 12.380 * [backup-simplify]: Simplify (* 0 0) into 0 12.380 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.380 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 12.381 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.381 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.381 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.381 * [backup-simplify]: Simplify (+ 0 0) into 0 12.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.381 * [taylor]: Taking taylor expansion of im in im 12.381 * [backup-simplify]: Simplify 0 into 0 12.381 * [backup-simplify]: Simplify 1 into 1 12.381 * [backup-simplify]: Simplify 0 into 0 12.381 * [taylor]: Taking taylor expansion of 0 in im 12.381 * [backup-simplify]: Simplify 0 into 0 12.381 * [backup-simplify]: Simplify 0 into 0 12.382 * [backup-simplify]: Simplify 1 into 1 12.382 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 12.382 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 12.383 * [backup-simplify]: Simplify (+ 1 0) into 1 12.383 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 12.383 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 12.383 * [taylor]: Taking taylor expansion of 1/2 in im 12.383 * [backup-simplify]: Simplify 1/2 into 1/2 12.383 * [taylor]: Taking taylor expansion of im in im 12.383 * [backup-simplify]: Simplify 0 into 0 12.383 * [backup-simplify]: Simplify 1 into 1 12.383 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.384 * [backup-simplify]: Simplify 0 into 0 12.384 * [backup-simplify]: Simplify 0 into 0 12.384 * [backup-simplify]: Simplify 0 into 0 12.385 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 12.385 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 12.385 * [backup-simplify]: Simplify (+ 0 0) into 0 12.385 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 12.385 * [taylor]: Taking taylor expansion of 0 in im 12.385 * [backup-simplify]: Simplify 0 into 0 12.385 * [backup-simplify]: Simplify 0 into 0 12.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.386 * [backup-simplify]: Simplify 0 into 0 12.386 * [backup-simplify]: Simplify 0 into 0 12.386 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 12.386 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 12.386 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 12.386 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 12.386 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 12.386 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 12.386 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 12.386 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.386 * [taylor]: Taking taylor expansion of re in im 12.386 * [backup-simplify]: Simplify re into re 12.386 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.386 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.387 * [taylor]: Taking taylor expansion of re in im 12.387 * [backup-simplify]: Simplify re into re 12.387 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.387 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 12.387 * [taylor]: Taking taylor expansion of (/ 1 im) in im 12.387 * [taylor]: Taking taylor expansion of im in im 12.387 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify 1 into 1 12.387 * [backup-simplify]: Simplify (/ 1 1) into 1 12.387 * [taylor]: Taking taylor expansion of (/ 1 im) in im 12.387 * [taylor]: Taking taylor expansion of im in im 12.387 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify 1 into 1 12.387 * [backup-simplify]: Simplify (/ 1 1) into 1 12.387 * [backup-simplify]: Simplify (* 1 1) into 1 12.388 * [backup-simplify]: Simplify (+ 0 1) into 1 12.388 * [backup-simplify]: Simplify (sqrt 1) into 1 12.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.389 * [backup-simplify]: Simplify (+ 0 0) into 0 12.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.390 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 12.390 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 12.390 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 12.390 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 12.390 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.390 * [taylor]: Taking taylor expansion of re in re 12.390 * [backup-simplify]: Simplify 0 into 0 12.390 * [backup-simplify]: Simplify 1 into 1 12.390 * [backup-simplify]: Simplify (/ 1 1) into 1 12.390 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.390 * [taylor]: Taking taylor expansion of re in re 12.390 * [backup-simplify]: Simplify 0 into 0 12.390 * [backup-simplify]: Simplify 1 into 1 12.391 * [backup-simplify]: Simplify (/ 1 1) into 1 12.391 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 12.391 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.391 * [taylor]: Taking taylor expansion of im in re 12.391 * [backup-simplify]: Simplify im into im 12.391 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.391 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.391 * [taylor]: Taking taylor expansion of im in re 12.391 * [backup-simplify]: Simplify im into im 12.391 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.391 * [backup-simplify]: Simplify (* 1 1) into 1 12.391 * [backup-simplify]: Simplify (+ 1 0) into 1 12.392 * [backup-simplify]: Simplify (sqrt 1) into 1 12.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.393 * [backup-simplify]: Simplify (+ 0 0) into 0 12.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.393 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 12.394 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 12.394 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 12.394 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 12.394 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.394 * [taylor]: Taking taylor expansion of re in re 12.394 * [backup-simplify]: Simplify 0 into 0 12.394 * [backup-simplify]: Simplify 1 into 1 12.394 * [backup-simplify]: Simplify (/ 1 1) into 1 12.394 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.394 * [taylor]: Taking taylor expansion of re in re 12.394 * [backup-simplify]: Simplify 0 into 0 12.394 * [backup-simplify]: Simplify 1 into 1 12.394 * [backup-simplify]: Simplify (/ 1 1) into 1 12.394 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 12.394 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.394 * [taylor]: Taking taylor expansion of im in re 12.394 * [backup-simplify]: Simplify im into im 12.394 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.394 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.394 * [taylor]: Taking taylor expansion of im in re 12.394 * [backup-simplify]: Simplify im into im 12.394 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.395 * [backup-simplify]: Simplify (* 1 1) into 1 12.395 * [backup-simplify]: Simplify (+ 1 0) into 1 12.396 * [backup-simplify]: Simplify (sqrt 1) into 1 12.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.398 * [backup-simplify]: Simplify (+ 0 0) into 0 12.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.399 * [taylor]: Taking taylor expansion of 1 in im 12.399 * [backup-simplify]: Simplify 1 into 1 12.399 * [taylor]: Taking taylor expansion of 0 in im 12.399 * [backup-simplify]: Simplify 0 into 0 12.399 * [backup-simplify]: Simplify 1 into 1 12.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.402 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 12.402 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.403 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.403 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 12.403 * [taylor]: Taking taylor expansion of 1/2 in im 12.403 * [backup-simplify]: Simplify 1/2 into 1/2 12.403 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.403 * [taylor]: Taking taylor expansion of im in im 12.403 * [backup-simplify]: Simplify 0 into 0 12.403 * [backup-simplify]: Simplify 1 into 1 12.404 * [backup-simplify]: Simplify (* 1 1) into 1 12.404 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.406 * [backup-simplify]: Simplify 0 into 0 12.406 * [backup-simplify]: Simplify 0 into 0 12.406 * [backup-simplify]: Simplify 0 into 0 12.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 12.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 12.409 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 12.409 * [backup-simplify]: Simplify (+ 0 0) into 0 12.410 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.410 * [taylor]: Taking taylor expansion of 0 in im 12.410 * [backup-simplify]: Simplify 0 into 0 12.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.412 * [backup-simplify]: Simplify 0 into 0 12.412 * [backup-simplify]: Simplify 0 into 0 12.412 * [backup-simplify]: Simplify 0 into 0 12.412 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 12.412 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 12.412 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 12.412 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 12.412 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 12.412 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 12.412 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 12.412 * [taylor]: Taking taylor expansion of (/ -1 re) in im 12.412 * [taylor]: Taking taylor expansion of -1 in im 12.412 * [backup-simplify]: Simplify -1 into -1 12.412 * [taylor]: Taking taylor expansion of re in im 12.412 * [backup-simplify]: Simplify re into re 12.412 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 12.412 * [taylor]: Taking taylor expansion of (/ -1 re) in im 12.412 * [taylor]: Taking taylor expansion of -1 in im 12.412 * [backup-simplify]: Simplify -1 into -1 12.412 * [taylor]: Taking taylor expansion of re in im 12.413 * [backup-simplify]: Simplify re into re 12.413 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 12.413 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 12.413 * [taylor]: Taking taylor expansion of (/ -1 im) in im 12.413 * [taylor]: Taking taylor expansion of -1 in im 12.413 * [backup-simplify]: Simplify -1 into -1 12.413 * [taylor]: Taking taylor expansion of im in im 12.413 * [backup-simplify]: Simplify 0 into 0 12.413 * [backup-simplify]: Simplify 1 into 1 12.413 * [backup-simplify]: Simplify (/ -1 1) into -1 12.413 * [taylor]: Taking taylor expansion of (/ -1 im) in im 12.413 * [taylor]: Taking taylor expansion of -1 in im 12.413 * [backup-simplify]: Simplify -1 into -1 12.413 * [taylor]: Taking taylor expansion of im in im 12.413 * [backup-simplify]: Simplify 0 into 0 12.413 * [backup-simplify]: Simplify 1 into 1 12.414 * [backup-simplify]: Simplify (/ -1 1) into -1 12.414 * [backup-simplify]: Simplify (* -1 -1) into 1 12.414 * [backup-simplify]: Simplify (+ 0 1) into 1 12.415 * [backup-simplify]: Simplify (sqrt 1) into 1 12.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.417 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.417 * [backup-simplify]: Simplify (+ 0 0) into 0 12.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.418 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 12.418 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 12.418 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 12.418 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 12.418 * [taylor]: Taking taylor expansion of (/ -1 re) in re 12.418 * [taylor]: Taking taylor expansion of -1 in re 12.418 * [backup-simplify]: Simplify -1 into -1 12.418 * [taylor]: Taking taylor expansion of re in re 12.418 * [backup-simplify]: Simplify 0 into 0 12.418 * [backup-simplify]: Simplify 1 into 1 12.418 * [backup-simplify]: Simplify (/ -1 1) into -1 12.418 * [taylor]: Taking taylor expansion of (/ -1 re) in re 12.418 * [taylor]: Taking taylor expansion of -1 in re 12.418 * [backup-simplify]: Simplify -1 into -1 12.419 * [taylor]: Taking taylor expansion of re in re 12.419 * [backup-simplify]: Simplify 0 into 0 12.419 * [backup-simplify]: Simplify 1 into 1 12.419 * [backup-simplify]: Simplify (/ -1 1) into -1 12.419 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 12.419 * [taylor]: Taking taylor expansion of (/ -1 im) in re 12.419 * [taylor]: Taking taylor expansion of -1 in re 12.419 * [backup-simplify]: Simplify -1 into -1 12.419 * [taylor]: Taking taylor expansion of im in re 12.419 * [backup-simplify]: Simplify im into im 12.419 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 12.419 * [taylor]: Taking taylor expansion of (/ -1 im) in re 12.419 * [taylor]: Taking taylor expansion of -1 in re 12.419 * [backup-simplify]: Simplify -1 into -1 12.419 * [taylor]: Taking taylor expansion of im in re 12.419 * [backup-simplify]: Simplify im into im 12.419 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 12.420 * [backup-simplify]: Simplify (* -1 -1) into 1 12.420 * [backup-simplify]: Simplify (+ 1 0) into 1 12.420 * [backup-simplify]: Simplify (sqrt 1) into 1 12.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.422 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.423 * [backup-simplify]: Simplify (+ 0 0) into 0 12.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.423 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 12.424 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 12.424 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 12.424 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 12.424 * [taylor]: Taking taylor expansion of (/ -1 re) in re 12.424 * [taylor]: Taking taylor expansion of -1 in re 12.424 * [backup-simplify]: Simplify -1 into -1 12.424 * [taylor]: Taking taylor expansion of re in re 12.424 * [backup-simplify]: Simplify 0 into 0 12.424 * [backup-simplify]: Simplify 1 into 1 12.424 * [backup-simplify]: Simplify (/ -1 1) into -1 12.424 * [taylor]: Taking taylor expansion of (/ -1 re) in re 12.424 * [taylor]: Taking taylor expansion of -1 in re 12.424 * [backup-simplify]: Simplify -1 into -1 12.424 * [taylor]: Taking taylor expansion of re in re 12.424 * [backup-simplify]: Simplify 0 into 0 12.424 * [backup-simplify]: Simplify 1 into 1 12.425 * [backup-simplify]: Simplify (/ -1 1) into -1 12.425 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 12.425 * [taylor]: Taking taylor expansion of (/ -1 im) in re 12.425 * [taylor]: Taking taylor expansion of -1 in re 12.425 * [backup-simplify]: Simplify -1 into -1 12.425 * [taylor]: Taking taylor expansion of im in re 12.425 * [backup-simplify]: Simplify im into im 12.425 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 12.425 * [taylor]: Taking taylor expansion of (/ -1 im) in re 12.425 * [taylor]: Taking taylor expansion of -1 in re 12.425 * [backup-simplify]: Simplify -1 into -1 12.425 * [taylor]: Taking taylor expansion of im in re 12.425 * [backup-simplify]: Simplify im into im 12.425 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 12.425 * [backup-simplify]: Simplify (* -1 -1) into 1 12.426 * [backup-simplify]: Simplify (+ 1 0) into 1 12.426 * [backup-simplify]: Simplify (sqrt 1) into 1 12.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.428 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.428 * [backup-simplify]: Simplify (+ 0 0) into 0 12.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.429 * [taylor]: Taking taylor expansion of 1 in im 12.429 * [backup-simplify]: Simplify 1 into 1 12.429 * [taylor]: Taking taylor expansion of 0 in im 12.429 * [backup-simplify]: Simplify 0 into 0 12.429 * [backup-simplify]: Simplify 1 into 1 12.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.432 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 12.432 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 12.432 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.433 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.433 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 12.433 * [taylor]: Taking taylor expansion of 1/2 in im 12.433 * [backup-simplify]: Simplify 1/2 into 1/2 12.433 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.433 * [taylor]: Taking taylor expansion of im in im 12.433 * [backup-simplify]: Simplify 0 into 0 12.434 * [backup-simplify]: Simplify 1 into 1 12.434 * [backup-simplify]: Simplify (* 1 1) into 1 12.434 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.436 * [backup-simplify]: Simplify 0 into 0 12.436 * [backup-simplify]: Simplify 0 into 0 12.436 * [backup-simplify]: Simplify 0 into 0 12.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.439 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 12.439 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 12.439 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 12.439 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 12.440 * [backup-simplify]: Simplify (+ 0 0) into 0 12.441 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.441 * [taylor]: Taking taylor expansion of 0 in im 12.441 * [backup-simplify]: Simplify 0 into 0 12.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.442 * [backup-simplify]: Simplify 0 into 0 12.443 * [backup-simplify]: Simplify 0 into 0 12.443 * [backup-simplify]: Simplify 0 into 0 12.443 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 12.443 * * * [progress]: simplifying candidates 12.445 * [simplify]: Simplifying: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))) (log1p (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))) (* (+ re (hypot re im)) (sqrt 2.0)) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (* (+ re (hypot re im)) (sqrt 2.0)) (+ (log (sqrt (+ re (hypot re im)))) (log (sqrt (sqrt 2.0)))) (log (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))) (exp (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))) (* (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (cbrt (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))) (* (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))) (* (+ re (hypot re im)) (sqrt 2.0)) (sqrt (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))) (sqrt (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (+ re (hypot re im))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (sqrt (+ re (hypot re im))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 1))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (+ re (hypot re im))) (sqrt 1)) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (+ re (hypot re im))) 1) (* (cbrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (cbrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (* (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt (sqrt 2.0))) (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (sqrt 2.0))) (expm1 (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (log1p (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (+ re (hypot re im)) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (+ re (hypot re im)) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (+ (+ (log (sqrt (+ re (hypot re im)))) (log (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0)))) (+ (log (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0)))) (log (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (exp (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (cbrt (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (cbrt (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))) (cbrt (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (+ re (hypot re im)) (sqrt 2.0)) (sqrt 2.0)) (sqrt (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (sqrt (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt 1))) (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt 1)) (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) 1) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (* (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (pow (sqrt 2.0) 2) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow re 2))) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) re)) (- (* +nan.0 (sqrt 2.0))))))) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 im re (* -1 re) 12.449 * * [simplify]: Extracting # 0 : cost 0 12.449 * * [simplify]: Extracting # 1 : cost 0 12.450 * * [simplify]: Extracting # 2 : cost 0 12.450 * * [simplify]: Extracting # 3 : cost 0 12.450 * * [simplify]: Extracting # 4 : cost 0 12.451 * * [simplify]: Extracting # 5 : cost 0 12.451 * * [simplify]: Extracting # 6 : cost 0 12.451 * * [simplify]: Extracting # 7 : cost 0 12.451 * * [simplify]: Extracting # 8 : cost 0 12.452 * * [simplify]: Extracting # 9 : cost 0 12.452 * * [simplify]: Extracting # 10 : cost 0 12.452 * * [simplify]: Extracting # 11 : cost 0 12.453 * * [simplify]: iteration 0 : 157 enodes (cost 1408 ) 12.498 * * [simplify]: Extracting # 0 : cost 0 12.499 * * [simplify]: Extracting # 1 : cost 0 12.499 * * [simplify]: Extracting # 2 : cost 0 12.500 * * [simplify]: Extracting # 3 : cost 0 12.500 * * [simplify]: Extracting # 4 : cost 0 12.501 * * [simplify]: iteration 1 : 375 enodes (cost 1181 ) 12.680 * * [simplify]: Extracting # 0 : cost 0 12.681 * * [simplify]: Extracting # 1 : cost 0 12.683 * * [simplify]: Extracting # 2 : cost 0 12.684 * * [simplify]: Extracting # 3 : cost 0 12.685 * * [simplify]: Extracting # 4 : cost 0 12.686 * * [simplify]: iteration 2 : 1087 enodes (cost 1086 ) 13.908 * * [simplify]: Extracting # 0 : cost 0 13.913 * * [simplify]: Extracting # 1 : cost 0 13.925 * * [simplify]: Extracting # 2 : cost 0 13.929 * * [simplify]: Extracting # 3 : cost 0 13.932 * * [simplify]: Extracting # 4 : cost 0 13.936 * * [simplify]: iteration 3 : 3349 enodes (cost 1074 ) 15.281 * * [simplify]: Extracting # 0 : cost 0 15.291 * * [simplify]: Extracting # 1 : cost 0 15.300 * * [simplify]: Extracting # 2 : cost 0 15.306 * * [simplify]: iteration done: 5000 enodes (cost 1071 ) 15.306 * [simplify]: Simplified to: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma re re (* (hypot re im) (- (hypot re im) re))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))) (log1p (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))) (* (+ re (hypot re im)) (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (+ re (hypot re im)) (sqrt 2.0)) (log (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (log (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (exp (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))) (pow (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) 3) (* (cbrt (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))) (pow (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) 3) (* (+ re (hypot re im)) (sqrt 2.0)) (sqrt (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))) (sqrt (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (+ re (hypot re im))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (sqrt (+ re (hypot re im))) (fabs (cbrt (sqrt 2.0)))) (* (sqrt (fabs (cbrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (+ re (hypot re im))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (+ re (hypot re im))) (* (sqrt (+ re (hypot re im))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (+ re (hypot re im))) (* (cbrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (cbrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (hypot (pow re 3/2) (pow (hypot re im) 3/2))) (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (sqrt 2.0))) (expm1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* (+ re (hypot re im)) 2.0) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (+ re (hypot re im)) 2.0) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (exp (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (pow (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) 3) (pow (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) 3) (* (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (pow (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) 3) (* (+ re (hypot re im)) 2.0) (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (fabs (cbrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (sqrt (fabs (cbrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (sqrt 2.0) (* (sqrt 2.0) (hypot (pow re 3/2) (pow (hypot re im) 3/2))) (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt 2.0)) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 (* +nan.0 (fma (sqrt 2.0) (- im re) (- (* 2.0 (* re re))))) (* +nan.0 (fma (- (/ (sqrt 2.0) re)) (/ 2.0 re) (- (/ 2.0 re) (sqrt 2.0)))) 0 (* (* (sqrt 2.0) +nan.0) (fma (- re) re (- im re))) (fma (- (sqrt 2.0)) +nan.0 (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0))) 0 im re (- re) 15.307 * * * [progress]: adding candidates to table 15.756 * * [progress]: iteration 4 / 4 15.756 * * * [progress]: picking best candidate 15.778 * * * * [pick]: Picked # 15.778 * * * [progress]: localizing error 15.795 * * * [progress]: generating rewritten candidates 15.795 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 15.804 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 15.814 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 2) 15.820 * * * [progress]: generating series expansions 15.820 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 15.821 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ re (hypot re im)) 15.821 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 15.821 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 15.821 * [taylor]: Taking taylor expansion of re in im 15.821 * [backup-simplify]: Simplify re into re 15.821 * [taylor]: Taking taylor expansion of (hypot re im) in im 15.821 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.821 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 15.821 * [taylor]: Taking taylor expansion of (* re re) in im 15.821 * [taylor]: Taking taylor expansion of re in im 15.821 * [backup-simplify]: Simplify re into re 15.821 * [taylor]: Taking taylor expansion of re in im 15.821 * [backup-simplify]: Simplify re into re 15.821 * [taylor]: Taking taylor expansion of (* im im) in im 15.821 * [taylor]: Taking taylor expansion of im in im 15.821 * [backup-simplify]: Simplify 0 into 0 15.821 * [backup-simplify]: Simplify 1 into 1 15.821 * [taylor]: Taking taylor expansion of im in im 15.821 * [backup-simplify]: Simplify 0 into 0 15.821 * [backup-simplify]: Simplify 1 into 1 15.821 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.822 * [backup-simplify]: Simplify (* 0 0) into 0 15.822 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 15.822 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 15.822 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.822 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.822 * [backup-simplify]: Simplify (+ 0 0) into 0 15.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 15.823 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 15.823 * [taylor]: Taking taylor expansion of re in re 15.823 * [backup-simplify]: Simplify 0 into 0 15.823 * [backup-simplify]: Simplify 1 into 1 15.823 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.823 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.823 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.823 * [taylor]: Taking taylor expansion of (* re re) in re 15.823 * [taylor]: Taking taylor expansion of re in re 15.823 * [backup-simplify]: Simplify 0 into 0 15.823 * [backup-simplify]: Simplify 1 into 1 15.823 * [taylor]: Taking taylor expansion of re in re 15.823 * [backup-simplify]: Simplify 0 into 0 15.823 * [backup-simplify]: Simplify 1 into 1 15.823 * [taylor]: Taking taylor expansion of (* im im) in re 15.823 * [taylor]: Taking taylor expansion of im in re 15.823 * [backup-simplify]: Simplify im into im 15.823 * [taylor]: Taking taylor expansion of im in re 15.823 * [backup-simplify]: Simplify im into im 15.823 * [backup-simplify]: Simplify (* 0 0) into 0 15.823 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.823 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.824 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.824 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.824 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.824 * [backup-simplify]: Simplify (+ 0 0) into 0 15.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.824 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 15.824 * [taylor]: Taking taylor expansion of re in re 15.824 * [backup-simplify]: Simplify 0 into 0 15.824 * [backup-simplify]: Simplify 1 into 1 15.824 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.825 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.825 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.825 * [taylor]: Taking taylor expansion of (* re re) in re 15.825 * [taylor]: Taking taylor expansion of re in re 15.825 * [backup-simplify]: Simplify 0 into 0 15.825 * [backup-simplify]: Simplify 1 into 1 15.825 * [taylor]: Taking taylor expansion of re in re 15.825 * [backup-simplify]: Simplify 0 into 0 15.825 * [backup-simplify]: Simplify 1 into 1 15.825 * [taylor]: Taking taylor expansion of (* im im) in re 15.825 * [taylor]: Taking taylor expansion of im in re 15.825 * [backup-simplify]: Simplify im into im 15.825 * [taylor]: Taking taylor expansion of im in re 15.825 * [backup-simplify]: Simplify im into im 15.825 * [backup-simplify]: Simplify (* 0 0) into 0 15.825 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.825 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.825 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.826 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.826 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.826 * [backup-simplify]: Simplify (+ 0 0) into 0 15.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.826 * [backup-simplify]: Simplify (+ 0 im) into im 15.826 * [taylor]: Taking taylor expansion of im in im 15.826 * [backup-simplify]: Simplify 0 into 0 15.826 * [backup-simplify]: Simplify 1 into 1 15.826 * [backup-simplify]: Simplify 0 into 0 15.826 * [backup-simplify]: Simplify (+ 1 0) into 1 15.826 * [taylor]: Taking taylor expansion of 1 in im 15.826 * [backup-simplify]: Simplify 1 into 1 15.826 * [backup-simplify]: Simplify 1 into 1 15.827 * [backup-simplify]: Simplify 1 into 1 15.827 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.827 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 15.828 * [backup-simplify]: Simplify (+ 1 0) into 1 15.828 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 15.828 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 15.828 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 15.828 * [taylor]: Taking taylor expansion of 1/2 in im 15.828 * [backup-simplify]: Simplify 1/2 into 1/2 15.828 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.828 * [taylor]: Taking taylor expansion of im in im 15.828 * [backup-simplify]: Simplify 0 into 0 15.828 * [backup-simplify]: Simplify 1 into 1 15.828 * [backup-simplify]: Simplify (/ 1 1) into 1 15.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.829 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.829 * [backup-simplify]: Simplify 0 into 0 15.829 * [backup-simplify]: Simplify 0 into 0 15.829 * [backup-simplify]: Simplify 0 into 0 15.830 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.830 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 15.831 * [backup-simplify]: Simplify (+ 0 0) into 0 15.831 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 15.831 * [backup-simplify]: Simplify (+ 0 0) into 0 15.831 * [taylor]: Taking taylor expansion of 0 in im 15.831 * [backup-simplify]: Simplify 0 into 0 15.831 * [backup-simplify]: Simplify 0 into 0 15.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.832 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 15.832 * [backup-simplify]: Simplify 0 into 0 15.832 * [backup-simplify]: Simplify 0 into 0 15.832 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 15.832 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 15.832 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 15.833 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 15.833 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 15.833 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.833 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 15.833 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 15.833 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.833 * [taylor]: Taking taylor expansion of re in im 15.833 * [backup-simplify]: Simplify re into re 15.833 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.833 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.833 * [taylor]: Taking taylor expansion of re in im 15.833 * [backup-simplify]: Simplify re into re 15.833 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.833 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 15.833 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.833 * [taylor]: Taking taylor expansion of im in im 15.833 * [backup-simplify]: Simplify 0 into 0 15.833 * [backup-simplify]: Simplify 1 into 1 15.833 * [backup-simplify]: Simplify (/ 1 1) into 1 15.833 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.833 * [taylor]: Taking taylor expansion of im in im 15.833 * [backup-simplify]: Simplify 0 into 0 15.833 * [backup-simplify]: Simplify 1 into 1 15.834 * [backup-simplify]: Simplify (/ 1 1) into 1 15.834 * [backup-simplify]: Simplify (* 1 1) into 1 15.834 * [backup-simplify]: Simplify (+ 0 1) into 1 15.834 * [backup-simplify]: Simplify (sqrt 1) into 1 15.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.836 * [backup-simplify]: Simplify (+ 0 0) into 0 15.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.837 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.837 * [taylor]: Taking taylor expansion of re in im 15.837 * [backup-simplify]: Simplify re into re 15.837 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.837 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 15.837 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.837 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.838 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.838 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.838 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.838 * [taylor]: Taking taylor expansion of re in re 15.838 * [backup-simplify]: Simplify 0 into 0 15.838 * [backup-simplify]: Simplify 1 into 1 15.838 * [backup-simplify]: Simplify (/ 1 1) into 1 15.838 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.838 * [taylor]: Taking taylor expansion of re in re 15.838 * [backup-simplify]: Simplify 0 into 0 15.838 * [backup-simplify]: Simplify 1 into 1 15.838 * [backup-simplify]: Simplify (/ 1 1) into 1 15.839 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.839 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.839 * [taylor]: Taking taylor expansion of im in re 15.839 * [backup-simplify]: Simplify im into im 15.839 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.839 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.839 * [taylor]: Taking taylor expansion of im in re 15.839 * [backup-simplify]: Simplify im into im 15.839 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.839 * [backup-simplify]: Simplify (* 1 1) into 1 15.840 * [backup-simplify]: Simplify (+ 1 0) into 1 15.840 * [backup-simplify]: Simplify (sqrt 1) into 1 15.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.843 * [backup-simplify]: Simplify (+ 0 0) into 0 15.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.846 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.846 * [taylor]: Taking taylor expansion of re in re 15.846 * [backup-simplify]: Simplify 0 into 0 15.846 * [backup-simplify]: Simplify 1 into 1 15.847 * [backup-simplify]: Simplify (/ 1 1) into 1 15.847 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 15.847 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.847 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.847 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.847 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.847 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.847 * [taylor]: Taking taylor expansion of re in re 15.847 * [backup-simplify]: Simplify 0 into 0 15.847 * [backup-simplify]: Simplify 1 into 1 15.847 * [backup-simplify]: Simplify (/ 1 1) into 1 15.847 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.848 * [taylor]: Taking taylor expansion of re in re 15.848 * [backup-simplify]: Simplify 0 into 0 15.848 * [backup-simplify]: Simplify 1 into 1 15.848 * [backup-simplify]: Simplify (/ 1 1) into 1 15.848 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.848 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.848 * [taylor]: Taking taylor expansion of im in re 15.848 * [backup-simplify]: Simplify im into im 15.848 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.848 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.848 * [taylor]: Taking taylor expansion of im in re 15.848 * [backup-simplify]: Simplify im into im 15.848 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.849 * [backup-simplify]: Simplify (* 1 1) into 1 15.849 * [backup-simplify]: Simplify (+ 1 0) into 1 15.850 * [backup-simplify]: Simplify (sqrt 1) into 1 15.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.852 * [backup-simplify]: Simplify (+ 0 0) into 0 15.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.853 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.853 * [taylor]: Taking taylor expansion of re in re 15.853 * [backup-simplify]: Simplify 0 into 0 15.853 * [backup-simplify]: Simplify 1 into 1 15.853 * [backup-simplify]: Simplify (/ 1 1) into 1 15.854 * [backup-simplify]: Simplify (+ 1 1) into 2 15.854 * [taylor]: Taking taylor expansion of 2 in im 15.854 * [backup-simplify]: Simplify 2 into 2 15.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.855 * [backup-simplify]: Simplify (+ 0 0) into 0 15.855 * [taylor]: Taking taylor expansion of 0 in im 15.855 * [backup-simplify]: Simplify 0 into 0 15.855 * [backup-simplify]: Simplify 2 into 2 15.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.858 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 15.858 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.859 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.860 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 15.860 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 15.860 * [taylor]: Taking taylor expansion of 1/2 in im 15.860 * [backup-simplify]: Simplify 1/2 into 1/2 15.860 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.860 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.860 * [taylor]: Taking taylor expansion of im in im 15.860 * [backup-simplify]: Simplify 0 into 0 15.860 * [backup-simplify]: Simplify 1 into 1 15.861 * [backup-simplify]: Simplify (* 1 1) into 1 15.861 * [backup-simplify]: Simplify (/ 1 1) into 1 15.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.863 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.863 * [backup-simplify]: Simplify 0 into 0 15.863 * [backup-simplify]: Simplify 0 into 0 15.863 * [backup-simplify]: Simplify 0 into 0 15.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.867 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 15.867 * [backup-simplify]: Simplify (+ 0 0) into 0 15.868 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.869 * [backup-simplify]: Simplify (+ 0 0) into 0 15.869 * [taylor]: Taking taylor expansion of 0 in im 15.869 * [backup-simplify]: Simplify 0 into 0 15.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 15.872 * [backup-simplify]: Simplify 0 into 0 15.872 * [backup-simplify]: Simplify 0 into 0 15.872 * [backup-simplify]: Simplify 0 into 0 15.872 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 15.873 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 15.873 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 15.873 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 15.873 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 15.873 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.873 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 15.873 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 15.873 * [taylor]: Taking taylor expansion of (/ -1 re) in im 15.873 * [taylor]: Taking taylor expansion of -1 in im 15.873 * [backup-simplify]: Simplify -1 into -1 15.873 * [taylor]: Taking taylor expansion of re in im 15.873 * [backup-simplify]: Simplify re into re 15.873 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 15.873 * [taylor]: Taking taylor expansion of (/ -1 re) in im 15.873 * [taylor]: Taking taylor expansion of -1 in im 15.873 * [backup-simplify]: Simplify -1 into -1 15.873 * [taylor]: Taking taylor expansion of re in im 15.873 * [backup-simplify]: Simplify re into re 15.873 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 15.873 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 15.873 * [taylor]: Taking taylor expansion of (/ -1 im) in im 15.873 * [taylor]: Taking taylor expansion of -1 in im 15.873 * [backup-simplify]: Simplify -1 into -1 15.873 * [taylor]: Taking taylor expansion of im in im 15.873 * [backup-simplify]: Simplify 0 into 0 15.873 * [backup-simplify]: Simplify 1 into 1 15.874 * [backup-simplify]: Simplify (/ -1 1) into -1 15.874 * [taylor]: Taking taylor expansion of (/ -1 im) in im 15.874 * [taylor]: Taking taylor expansion of -1 in im 15.874 * [backup-simplify]: Simplify -1 into -1 15.874 * [taylor]: Taking taylor expansion of im in im 15.874 * [backup-simplify]: Simplify 0 into 0 15.874 * [backup-simplify]: Simplify 1 into 1 15.874 * [backup-simplify]: Simplify (/ -1 1) into -1 15.875 * [backup-simplify]: Simplify (* -1 -1) into 1 15.875 * [backup-simplify]: Simplify (+ 0 1) into 1 15.876 * [backup-simplify]: Simplify (sqrt 1) into 1 15.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.878 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.878 * [backup-simplify]: Simplify (+ 0 0) into 0 15.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.879 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.879 * [taylor]: Taking taylor expansion of re in im 15.879 * [backup-simplify]: Simplify re into re 15.879 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.879 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 15.879 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 15.879 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.879 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 15.879 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 15.879 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.879 * [taylor]: Taking taylor expansion of -1 in re 15.880 * [backup-simplify]: Simplify -1 into -1 15.880 * [taylor]: Taking taylor expansion of re in re 15.880 * [backup-simplify]: Simplify 0 into 0 15.880 * [backup-simplify]: Simplify 1 into 1 15.880 * [backup-simplify]: Simplify (/ -1 1) into -1 15.880 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.880 * [taylor]: Taking taylor expansion of -1 in re 15.880 * [backup-simplify]: Simplify -1 into -1 15.880 * [taylor]: Taking taylor expansion of re in re 15.880 * [backup-simplify]: Simplify 0 into 0 15.880 * [backup-simplify]: Simplify 1 into 1 15.881 * [backup-simplify]: Simplify (/ -1 1) into -1 15.881 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 15.881 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.881 * [taylor]: Taking taylor expansion of -1 in re 15.881 * [backup-simplify]: Simplify -1 into -1 15.881 * [taylor]: Taking taylor expansion of im in re 15.881 * [backup-simplify]: Simplify im into im 15.881 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.881 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.881 * [taylor]: Taking taylor expansion of -1 in re 15.881 * [backup-simplify]: Simplify -1 into -1 15.881 * [taylor]: Taking taylor expansion of im in re 15.881 * [backup-simplify]: Simplify im into im 15.881 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.881 * [backup-simplify]: Simplify (* -1 -1) into 1 15.882 * [backup-simplify]: Simplify (+ 1 0) into 1 15.882 * [backup-simplify]: Simplify (sqrt 1) into 1 15.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.884 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.885 * [backup-simplify]: Simplify (+ 0 0) into 0 15.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.886 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.886 * [taylor]: Taking taylor expansion of re in re 15.886 * [backup-simplify]: Simplify 0 into 0 15.886 * [backup-simplify]: Simplify 1 into 1 15.886 * [backup-simplify]: Simplify (/ 1 1) into 1 15.886 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 15.886 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 15.886 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.886 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 15.886 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 15.886 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.886 * [taylor]: Taking taylor expansion of -1 in re 15.886 * [backup-simplify]: Simplify -1 into -1 15.886 * [taylor]: Taking taylor expansion of re in re 15.886 * [backup-simplify]: Simplify 0 into 0 15.886 * [backup-simplify]: Simplify 1 into 1 15.887 * [backup-simplify]: Simplify (/ -1 1) into -1 15.887 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.887 * [taylor]: Taking taylor expansion of -1 in re 15.887 * [backup-simplify]: Simplify -1 into -1 15.887 * [taylor]: Taking taylor expansion of re in re 15.887 * [backup-simplify]: Simplify 0 into 0 15.887 * [backup-simplify]: Simplify 1 into 1 15.887 * [backup-simplify]: Simplify (/ -1 1) into -1 15.888 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 15.888 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.888 * [taylor]: Taking taylor expansion of -1 in re 15.888 * [backup-simplify]: Simplify -1 into -1 15.888 * [taylor]: Taking taylor expansion of im in re 15.888 * [backup-simplify]: Simplify im into im 15.888 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.888 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.888 * [taylor]: Taking taylor expansion of -1 in re 15.888 * [backup-simplify]: Simplify -1 into -1 15.888 * [taylor]: Taking taylor expansion of im in re 15.888 * [backup-simplify]: Simplify im into im 15.888 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.888 * [backup-simplify]: Simplify (* -1 -1) into 1 15.889 * [backup-simplify]: Simplify (+ 1 0) into 1 15.889 * [backup-simplify]: Simplify (sqrt 1) into 1 15.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.891 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.892 * [backup-simplify]: Simplify (+ 0 0) into 0 15.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.892 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.892 * [taylor]: Taking taylor expansion of re in re 15.892 * [backup-simplify]: Simplify 0 into 0 15.892 * [backup-simplify]: Simplify 1 into 1 15.893 * [backup-simplify]: Simplify (/ 1 1) into 1 15.893 * [backup-simplify]: Simplify (- 1) into -1 15.894 * [backup-simplify]: Simplify (+ 1 -1) into 0 15.894 * [taylor]: Taking taylor expansion of 0 in im 15.894 * [backup-simplify]: Simplify 0 into 0 15.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.895 * [backup-simplify]: Simplify (- 0) into 0 15.895 * [backup-simplify]: Simplify (+ 0 0) into 0 15.895 * [taylor]: Taking taylor expansion of 0 in im 15.895 * [backup-simplify]: Simplify 0 into 0 15.895 * [backup-simplify]: Simplify 0 into 0 15.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.898 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 15.898 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 15.898 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.900 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.901 * [backup-simplify]: Simplify (- 0) into 0 15.901 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 15.901 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 15.901 * [taylor]: Taking taylor expansion of 1/2 in im 15.901 * [backup-simplify]: Simplify 1/2 into 1/2 15.901 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.901 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.901 * [taylor]: Taking taylor expansion of im in im 15.901 * [backup-simplify]: Simplify 0 into 0 15.901 * [backup-simplify]: Simplify 1 into 1 15.902 * [backup-simplify]: Simplify (* 1 1) into 1 15.902 * [backup-simplify]: Simplify (/ 1 1) into 1 15.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.904 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.904 * [backup-simplify]: Simplify 0 into 0 15.904 * [backup-simplify]: Simplify 0 into 0 15.904 * [backup-simplify]: Simplify 0 into 0 15.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.907 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 15.907 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 15.907 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 15.907 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 15.908 * [backup-simplify]: Simplify (+ 0 0) into 0 15.908 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.909 * [backup-simplify]: Simplify (- 0) into 0 15.909 * [backup-simplify]: Simplify (+ 0 0) into 0 15.909 * [taylor]: Taking taylor expansion of 0 in im 15.909 * [backup-simplify]: Simplify 0 into 0 15.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.911 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 15.911 * [backup-simplify]: Simplify 0 into 0 15.911 * [backup-simplify]: Simplify 0 into 0 15.911 * [backup-simplify]: Simplify 0 into 0 15.911 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 15.911 * [backup-simplify]: Simplify (pow (* (+ re (hypot re im)) 2.0) 1/2) into (pow (* 2.0 (+ re (hypot re im))) 1/2) 15.911 * [approximate]: Taking taylor expansion of (pow (* 2.0 (+ re (hypot re im))) 1/2) in (re im) around 0 15.911 * [taylor]: Taking taylor expansion of (pow (* 2.0 (+ re (hypot re im))) 1/2) in im 15.911 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (+ re (hypot re im)))))) in im 15.911 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (+ re (hypot re im))))) in im 15.911 * [taylor]: Taking taylor expansion of 1/2 in im 15.911 * [backup-simplify]: Simplify 1/2 into 1/2 15.911 * [taylor]: Taking taylor expansion of (log (* 2.0 (+ re (hypot re im)))) in im 15.911 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (hypot re im))) in im 15.911 * [taylor]: Taking taylor expansion of 2.0 in im 15.911 * [backup-simplify]: Simplify 2.0 into 2.0 15.911 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 15.911 * [taylor]: Taking taylor expansion of re in im 15.911 * [backup-simplify]: Simplify re into re 15.911 * [taylor]: Taking taylor expansion of (hypot re im) in im 15.911 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.911 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 15.911 * [taylor]: Taking taylor expansion of (* re re) in im 15.911 * [taylor]: Taking taylor expansion of re in im 15.911 * [backup-simplify]: Simplify re into re 15.911 * [taylor]: Taking taylor expansion of re in im 15.911 * [backup-simplify]: Simplify re into re 15.911 * [taylor]: Taking taylor expansion of (* im im) in im 15.911 * [taylor]: Taking taylor expansion of im in im 15.911 * [backup-simplify]: Simplify 0 into 0 15.912 * [backup-simplify]: Simplify 1 into 1 15.912 * [taylor]: Taking taylor expansion of im in im 15.912 * [backup-simplify]: Simplify 0 into 0 15.912 * [backup-simplify]: Simplify 1 into 1 15.912 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.912 * [backup-simplify]: Simplify (* 0 0) into 0 15.912 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 15.912 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 15.912 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.912 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.913 * [backup-simplify]: Simplify (+ 0 0) into 0 15.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 15.913 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 15.913 * [backup-simplify]: Simplify (* 2.0 (* 2 re)) into (* 4.0 re) 15.913 * [backup-simplify]: Simplify (log (* 4.0 re)) into (log (* 4.0 re)) 15.913 * [backup-simplify]: Simplify (* 1/2 (log (* 4.0 re))) into (* 1/2 (log (* 4.0 re))) 15.913 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 4.0 re)))) into (pow (* 4.0 re) 1/2) 15.913 * [taylor]: Taking taylor expansion of (pow (* 2.0 (+ re (hypot re im))) 1/2) in re 15.913 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (+ re (hypot re im)))))) in re 15.913 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (+ re (hypot re im))))) in re 15.913 * [taylor]: Taking taylor expansion of 1/2 in re 15.913 * [backup-simplify]: Simplify 1/2 into 1/2 15.913 * [taylor]: Taking taylor expansion of (log (* 2.0 (+ re (hypot re im)))) in re 15.913 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (hypot re im))) in re 15.913 * [taylor]: Taking taylor expansion of 2.0 in re 15.913 * [backup-simplify]: Simplify 2.0 into 2.0 15.913 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 15.913 * [taylor]: Taking taylor expansion of re in re 15.913 * [backup-simplify]: Simplify 0 into 0 15.913 * [backup-simplify]: Simplify 1 into 1 15.913 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.913 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.913 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.913 * [taylor]: Taking taylor expansion of (* re re) in re 15.913 * [taylor]: Taking taylor expansion of re in re 15.913 * [backup-simplify]: Simplify 0 into 0 15.913 * [backup-simplify]: Simplify 1 into 1 15.913 * [taylor]: Taking taylor expansion of re in re 15.913 * [backup-simplify]: Simplify 0 into 0 15.914 * [backup-simplify]: Simplify 1 into 1 15.914 * [taylor]: Taking taylor expansion of (* im im) in re 15.914 * [taylor]: Taking taylor expansion of im in re 15.914 * [backup-simplify]: Simplify im into im 15.914 * [taylor]: Taking taylor expansion of im in re 15.914 * [backup-simplify]: Simplify im into im 15.914 * [backup-simplify]: Simplify (* 0 0) into 0 15.914 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.914 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.914 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.914 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.914 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.915 * [backup-simplify]: Simplify (+ 0 0) into 0 15.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.915 * [backup-simplify]: Simplify (+ 0 im) into im 15.915 * [backup-simplify]: Simplify (* 2.0 im) into (* 2.0 im) 15.915 * [backup-simplify]: Simplify (log (* 2.0 im)) into (log (* 2.0 im)) 15.915 * [backup-simplify]: Simplify (* 1/2 (log (* 2.0 im))) into (* 1/2 (log (* 2.0 im))) 15.915 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2.0 im)))) into (pow (* 2.0 im) 1/2) 15.915 * [taylor]: Taking taylor expansion of (pow (* 2.0 (+ re (hypot re im))) 1/2) in re 15.915 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (+ re (hypot re im)))))) in re 15.915 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (+ re (hypot re im))))) in re 15.915 * [taylor]: Taking taylor expansion of 1/2 in re 15.915 * [backup-simplify]: Simplify 1/2 into 1/2 15.915 * [taylor]: Taking taylor expansion of (log (* 2.0 (+ re (hypot re im)))) in re 15.915 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (hypot re im))) in re 15.915 * [taylor]: Taking taylor expansion of 2.0 in re 15.915 * [backup-simplify]: Simplify 2.0 into 2.0 15.915 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 15.915 * [taylor]: Taking taylor expansion of re in re 15.915 * [backup-simplify]: Simplify 0 into 0 15.915 * [backup-simplify]: Simplify 1 into 1 15.915 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.915 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.915 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.915 * [taylor]: Taking taylor expansion of (* re re) in re 15.915 * [taylor]: Taking taylor expansion of re in re 15.915 * [backup-simplify]: Simplify 0 into 0 15.916 * [backup-simplify]: Simplify 1 into 1 15.916 * [taylor]: Taking taylor expansion of re in re 15.916 * [backup-simplify]: Simplify 0 into 0 15.916 * [backup-simplify]: Simplify 1 into 1 15.916 * [taylor]: Taking taylor expansion of (* im im) in re 15.916 * [taylor]: Taking taylor expansion of im in re 15.916 * [backup-simplify]: Simplify im into im 15.916 * [taylor]: Taking taylor expansion of im in re 15.916 * [backup-simplify]: Simplify im into im 15.916 * [backup-simplify]: Simplify (* 0 0) into 0 15.916 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.916 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.916 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.916 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.917 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.917 * [backup-simplify]: Simplify (+ 0 0) into 0 15.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.917 * [backup-simplify]: Simplify (+ 0 im) into im 15.917 * [backup-simplify]: Simplify (* 2.0 im) into (* 2.0 im) 15.917 * [backup-simplify]: Simplify (log (* 2.0 im)) into (log (* 2.0 im)) 15.917 * [backup-simplify]: Simplify (* 1/2 (log (* 2.0 im))) into (* 1/2 (log (* 2.0 im))) 15.917 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2.0 im)))) into (pow (* 2.0 im) 1/2) 15.917 * [taylor]: Taking taylor expansion of (pow (* 2.0 im) 1/2) in im 15.917 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 im)))) in im 15.917 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 im))) in im 15.917 * [taylor]: Taking taylor expansion of 1/2 in im 15.917 * [backup-simplify]: Simplify 1/2 into 1/2 15.917 * [taylor]: Taking taylor expansion of (log (* 2.0 im)) in im 15.917 * [taylor]: Taking taylor expansion of (* 2.0 im) in im 15.917 * [taylor]: Taking taylor expansion of 2.0 in im 15.917 * [backup-simplify]: Simplify 2.0 into 2.0 15.917 * [taylor]: Taking taylor expansion of im in im 15.917 * [backup-simplify]: Simplify 0 into 0 15.917 * [backup-simplify]: Simplify 1 into 1 15.918 * [backup-simplify]: Simplify (* 2.0 0) into 0 15.918 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 15.919 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.919 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) (log 2.0)) into (+ (log 2.0) (log im)) 15.920 * [backup-simplify]: Simplify (* 1/2 (+ (log 2.0) (log im))) into (* 1/2 (+ (log 2.0) (log im))) 15.920 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2.0) (log im)))) into (exp (* 1/2 (+ (log 2.0) (log im)))) 15.920 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2.0) (log im)))) into (exp (* 1/2 (+ (log 2.0) (log im)))) 15.921 * [backup-simplify]: Simplify (+ 1 0) into 1 15.921 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 im)) into 2.0 15.922 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow (* 2.0 im) 1)))) 1) into (/ 1.0 im) 15.922 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1.0 im)) (* 0 (log (* 2.0 im)))) into (* 0.5 (/ 1 im)) 15.922 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2.0 im)))) (+ (* (/ (pow (* 0.5 (/ 1 im)) 1) 1)))) into (* 0.5 (sqrt (/ 2.0 im))) 15.922 * [taylor]: Taking taylor expansion of (* 0.5 (sqrt (/ 2.0 im))) in im 15.922 * [taylor]: Taking taylor expansion of 0.5 in im 15.922 * [backup-simplify]: Simplify 0.5 into 0.5 15.922 * [taylor]: Taking taylor expansion of (sqrt (/ 2.0 im)) in im 15.922 * [taylor]: Taking taylor expansion of (/ 2.0 im) in im 15.922 * [taylor]: Taking taylor expansion of 2.0 in im 15.922 * [backup-simplify]: Simplify 2.0 into 2.0 15.922 * [taylor]: Taking taylor expansion of im in im 15.922 * [backup-simplify]: Simplify 0 into 0 15.922 * [backup-simplify]: Simplify 1 into 1 15.923 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 15.923 * [backup-simplify]: Simplify (sqrt 0) into 0 15.924 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt 0))) into +nan.0 15.925 * [backup-simplify]: Simplify (+ (* 0.5 +nan.0) (* 0 0)) into (- +nan.0) 15.925 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 15.926 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 15.927 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 15.927 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) (log 2.0)) into (+ (log 2.0) (log im)) 15.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (log 2.0) (log im)))) into 0 15.928 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2.0) (log im)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.928 * [backup-simplify]: Simplify 0 into 0 15.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.929 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 15.929 * [backup-simplify]: Simplify (+ 1 0) into 1 15.930 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 15.930 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 15.930 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 im))) (+ (* 0 1) (* 0 im))) into (* 1.0 (/ 1 im)) 15.932 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow (* 2.0 im) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1.0 (/ 1 im))) 1)) (pow (* 2.0 im) 1)))) 2) into 0 15.932 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1.0 im)) (* 0 (log (* 2.0 im))))) into 0 15.933 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2.0 im)))) (+ (* (/ (pow (* 0.5 (/ 1 im)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (sqrt (/ 2.0 (pow im 3)))) 15.933 * [taylor]: Taking taylor expansion of (* 0.125 (sqrt (/ 2.0 (pow im 3)))) in im 15.933 * [taylor]: Taking taylor expansion of 0.125 in im 15.933 * [backup-simplify]: Simplify 0.125 into 0.125 15.933 * [taylor]: Taking taylor expansion of (sqrt (/ 2.0 (pow im 3))) in im 15.933 * [taylor]: Taking taylor expansion of (/ 2.0 (pow im 3)) in im 15.933 * [taylor]: Taking taylor expansion of 2.0 in im 15.933 * [backup-simplify]: Simplify 2.0 into 2.0 15.933 * [taylor]: Taking taylor expansion of (pow im 3) in im 15.933 * [taylor]: Taking taylor expansion of im in im 15.933 * [backup-simplify]: Simplify 0 into 0 15.933 * [backup-simplify]: Simplify 1 into 1 15.933 * [backup-simplify]: Simplify (* 1 1) into 1 15.933 * [backup-simplify]: Simplify (* 1 1) into 1 15.934 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 15.934 * [backup-simplify]: Simplify (sqrt 0) into 0 15.935 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt 0))) into +nan.0 15.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0 15.940 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 15.942 * [backup-simplify]: Simplify (+ (* 0.125 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 15.950 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 15.952 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 re) 2)) (+ (* (- +nan.0) (* 1 re)) (exp (* 1/2 (+ (log 2.0) (log im)))))) into (- (exp (* 1/2 (+ (log 2.0) (log im)))) (+ (* +nan.0 (pow re 2)) (- (* +nan.0 re)))) 15.952 * [backup-simplify]: Simplify (pow (* (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 2.0) 1/2) into (pow (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) 1/2) 15.952 * [approximate]: Taking taylor expansion of (pow (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) 1/2) in (re im) around 0 15.952 * [taylor]: Taking taylor expansion of (pow (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) 1/2) in im 15.952 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))))) in im 15.952 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in im 15.952 * [taylor]: Taking taylor expansion of 1/2 in im 15.952 * [backup-simplify]: Simplify 1/2 into 1/2 15.952 * [taylor]: Taking taylor expansion of (log (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im 15.952 * [taylor]: Taking taylor expansion of (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 15.953 * [taylor]: Taking taylor expansion of 2.0 in im 15.953 * [backup-simplify]: Simplify 2.0 into 2.0 15.953 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 15.953 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 15.953 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.953 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 15.953 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 15.953 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.953 * [taylor]: Taking taylor expansion of re in im 15.953 * [backup-simplify]: Simplify re into re 15.953 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.953 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.953 * [taylor]: Taking taylor expansion of re in im 15.953 * [backup-simplify]: Simplify re into re 15.953 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.953 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 15.953 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.953 * [taylor]: Taking taylor expansion of im in im 15.953 * [backup-simplify]: Simplify 0 into 0 15.953 * [backup-simplify]: Simplify 1 into 1 15.954 * [backup-simplify]: Simplify (/ 1 1) into 1 15.954 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.954 * [taylor]: Taking taylor expansion of im in im 15.954 * [backup-simplify]: Simplify 0 into 0 15.954 * [backup-simplify]: Simplify 1 into 1 15.954 * [backup-simplify]: Simplify (/ 1 1) into 1 15.954 * [backup-simplify]: Simplify (* 1 1) into 1 15.955 * [backup-simplify]: Simplify (+ 0 1) into 1 15.955 * [backup-simplify]: Simplify (sqrt 1) into 1 15.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.958 * [backup-simplify]: Simplify (+ 0 0) into 0 15.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.958 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.958 * [taylor]: Taking taylor expansion of re in im 15.958 * [backup-simplify]: Simplify re into re 15.958 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.959 * [backup-simplify]: Simplify (+ 1 0) into 1 15.959 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 15.960 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.961 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) (log 2.0)) into (- (log 2.0) (log im)) 15.961 * [backup-simplify]: Simplify (* 1/2 (- (log 2.0) (log im))) into (* 1/2 (- (log 2.0) (log im))) 15.962 * [backup-simplify]: Simplify (exp (* 1/2 (- (log 2.0) (log im)))) into (exp (* 1/2 (- (log 2.0) (log im)))) 15.962 * [taylor]: Taking taylor expansion of (pow (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) 1/2) in re 15.962 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))))) in re 15.962 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 15.962 * [taylor]: Taking taylor expansion of 1/2 in re 15.962 * [backup-simplify]: Simplify 1/2 into 1/2 15.962 * [taylor]: Taking taylor expansion of (log (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 15.962 * [taylor]: Taking taylor expansion of (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 15.962 * [taylor]: Taking taylor expansion of 2.0 in re 15.962 * [backup-simplify]: Simplify 2.0 into 2.0 15.962 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 15.962 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.962 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.962 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.962 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.962 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.962 * [taylor]: Taking taylor expansion of re in re 15.962 * [backup-simplify]: Simplify 0 into 0 15.962 * [backup-simplify]: Simplify 1 into 1 15.963 * [backup-simplify]: Simplify (/ 1 1) into 1 15.963 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.963 * [taylor]: Taking taylor expansion of re in re 15.963 * [backup-simplify]: Simplify 0 into 0 15.963 * [backup-simplify]: Simplify 1 into 1 15.963 * [backup-simplify]: Simplify (/ 1 1) into 1 15.963 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.963 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.963 * [taylor]: Taking taylor expansion of im in re 15.963 * [backup-simplify]: Simplify im into im 15.963 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.963 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.963 * [taylor]: Taking taylor expansion of im in re 15.963 * [backup-simplify]: Simplify im into im 15.963 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.964 * [backup-simplify]: Simplify (* 1 1) into 1 15.964 * [backup-simplify]: Simplify (+ 1 0) into 1 15.965 * [backup-simplify]: Simplify (sqrt 1) into 1 15.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.967 * [backup-simplify]: Simplify (+ 0 0) into 0 15.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.968 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.968 * [taylor]: Taking taylor expansion of re in re 15.968 * [backup-simplify]: Simplify 0 into 0 15.968 * [backup-simplify]: Simplify 1 into 1 15.968 * [backup-simplify]: Simplify (/ 1 1) into 1 15.969 * [backup-simplify]: Simplify (+ 1 1) into 2 15.969 * [backup-simplify]: Simplify (* 2.0 2) into 4.0 15.970 * [backup-simplify]: Simplify (log 4.0) into (log 4.0) 15.970 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 4.0)) into (- (log 4.0) (log re)) 15.971 * [backup-simplify]: Simplify (* 1/2 (- (log 4.0) (log re))) into (* 1/2 (- (log 4.0) (log re))) 15.971 * [backup-simplify]: Simplify (exp (* 1/2 (- (log 4.0) (log re)))) into (exp (* 1/2 (- (log 4.0) (log re)))) 15.972 * [taylor]: Taking taylor expansion of (pow (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) 1/2) in re 15.972 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))))) in re 15.972 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 15.972 * [taylor]: Taking taylor expansion of 1/2 in re 15.972 * [backup-simplify]: Simplify 1/2 into 1/2 15.972 * [taylor]: Taking taylor expansion of (log (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 15.972 * [taylor]: Taking taylor expansion of (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 15.972 * [taylor]: Taking taylor expansion of 2.0 in re 15.972 * [backup-simplify]: Simplify 2.0 into 2.0 15.972 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 15.972 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.972 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.972 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.972 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.972 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.972 * [taylor]: Taking taylor expansion of re in re 15.972 * [backup-simplify]: Simplify 0 into 0 15.972 * [backup-simplify]: Simplify 1 into 1 15.973 * [backup-simplify]: Simplify (/ 1 1) into 1 15.973 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.973 * [taylor]: Taking taylor expansion of re in re 15.973 * [backup-simplify]: Simplify 0 into 0 15.973 * [backup-simplify]: Simplify 1 into 1 15.973 * [backup-simplify]: Simplify (/ 1 1) into 1 15.973 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.973 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.973 * [taylor]: Taking taylor expansion of im in re 15.973 * [backup-simplify]: Simplify im into im 15.973 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.973 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.973 * [taylor]: Taking taylor expansion of im in re 15.973 * [backup-simplify]: Simplify im into im 15.974 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.974 * [backup-simplify]: Simplify (* 1 1) into 1 15.975 * [backup-simplify]: Simplify (+ 1 0) into 1 15.975 * [backup-simplify]: Simplify (sqrt 1) into 1 15.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.978 * [backup-simplify]: Simplify (+ 0 0) into 0 15.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.978 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.978 * [taylor]: Taking taylor expansion of re in re 15.979 * [backup-simplify]: Simplify 0 into 0 15.979 * [backup-simplify]: Simplify 1 into 1 15.979 * [backup-simplify]: Simplify (/ 1 1) into 1 15.979 * [backup-simplify]: Simplify (+ 1 1) into 2 15.980 * [backup-simplify]: Simplify (* 2.0 2) into 4.0 15.980 * [backup-simplify]: Simplify (log 4.0) into (log 4.0) 15.981 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 4.0)) into (- (log 4.0) (log re)) 15.981 * [backup-simplify]: Simplify (* 1/2 (- (log 4.0) (log re))) into (* 1/2 (- (log 4.0) (log re))) 15.982 * [backup-simplify]: Simplify (exp (* 1/2 (- (log 4.0) (log re)))) into (exp (* 1/2 (- (log 4.0) (log re)))) 15.982 * [taylor]: Taking taylor expansion of (exp (* 1/2 (- (log 4.0) (log re)))) in im 15.982 * [taylor]: Taking taylor expansion of (* 1/2 (- (log 4.0) (log re))) in im 15.982 * [taylor]: Taking taylor expansion of 1/2 in im 15.982 * [backup-simplify]: Simplify 1/2 into 1/2 15.982 * [taylor]: Taking taylor expansion of (- (log 4.0) (log re)) in im 15.982 * [taylor]: Taking taylor expansion of (log 4.0) in im 15.982 * [taylor]: Taking taylor expansion of 4.0 in im 15.982 * [backup-simplify]: Simplify 4.0 into 4.0 15.983 * [backup-simplify]: Simplify (log 4.0) into (log 4.0) 15.983 * [taylor]: Taking taylor expansion of (log re) in im 15.983 * [taylor]: Taking taylor expansion of re in im 15.983 * [backup-simplify]: Simplify re into re 15.983 * [backup-simplify]: Simplify (log re) into (log re) 15.983 * [backup-simplify]: Simplify (- (log re)) into (- (log re)) 15.984 * [backup-simplify]: Simplify (+ (log 4.0) (- (log re))) into (- (log 4.0) (log re)) 15.984 * [backup-simplify]: Simplify (* 1/2 (- (log 4.0) (log re))) into (* 1/2 (- (log 4.0) (log re))) 15.985 * [backup-simplify]: Simplify (exp (* 1/2 (- (log 4.0) (log re)))) into (exp (* 1/2 (- (log 4.0) (log re)))) 15.985 * [backup-simplify]: Simplify (exp (* 1/2 (- (log 4.0) (log re)))) into (exp (* 1/2 (- (log 4.0) (log re)))) 15.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.986 * [backup-simplify]: Simplify (+ 0 0) into 0 15.987 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 2)) into 0 15.989 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4.0 1)))) 1) into 0 15.991 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 4.0)) into (- (log 4.0) (log re)) 15.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (log 4.0) (log re)))) into 0 15.993 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (log 4.0) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.993 * [taylor]: Taking taylor expansion of 0 in im 15.993 * [backup-simplify]: Simplify 0 into 0 15.993 * [backup-simplify]: Simplify 0 into 0 15.994 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4.0 1)))) 1) into 0 15.995 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 15.996 * [backup-simplify]: Simplify (- 0) into 0 15.996 * [backup-simplify]: Simplify (+ 0 0) into 0 15.997 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (log 4.0) (log re)))) into 0 15.998 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (log 4.0) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.998 * [backup-simplify]: Simplify 0 into 0 15.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.001 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 16.002 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 16.003 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 16.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.004 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 16.005 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 2))) into (* 1.0 (/ 1 (pow im 2))) 16.007 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4.0 2))) (* 1 (/ (* 1 (pow (* 2 (* 1.0 (/ 1 (pow im 2)))) 1)) (pow 4.0 1)))) 2) into (/ 0.25 (pow im 2)) 16.008 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 4.0)) into (- (log 4.0) (log re)) 16.009 * [backup-simplify]: Simplify (+ (* 1/2 (/ 0.25 (pow im 2))) (+ (* 0 0) (* 0 (- (log 4.0) (log re))))) into (* 0.125 (/ 1 (pow im 2))) 16.011 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (log 4.0) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 0.125 (/ 1 (pow im 2))) 1) 1)))) into (* 0.125 (/ (exp (* 1/2 (- (log 4.0) (log re)))) (pow im 2))) 16.011 * [taylor]: Taking taylor expansion of (* 0.125 (/ (exp (* 1/2 (- (log 4.0) (log re)))) (pow im 2))) in im 16.011 * [taylor]: Taking taylor expansion of 0.125 in im 16.011 * [backup-simplify]: Simplify 0.125 into 0.125 16.011 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (- (log 4.0) (log re)))) (pow im 2)) in im 16.011 * [taylor]: Taking taylor expansion of (exp (* 1/2 (- (log 4.0) (log re)))) in im 16.011 * [taylor]: Taking taylor expansion of (* 1/2 (- (log 4.0) (log re))) in im 16.011 * [taylor]: Taking taylor expansion of 1/2 in im 16.011 * [backup-simplify]: Simplify 1/2 into 1/2 16.011 * [taylor]: Taking taylor expansion of (- (log 4.0) (log re)) in im 16.011 * [taylor]: Taking taylor expansion of (log 4.0) in im 16.011 * [taylor]: Taking taylor expansion of 4.0 in im 16.011 * [backup-simplify]: Simplify 4.0 into 4.0 16.012 * [backup-simplify]: Simplify (log 4.0) into (log 4.0) 16.012 * [taylor]: Taking taylor expansion of (log re) in im 16.012 * [taylor]: Taking taylor expansion of re in im 16.012 * [backup-simplify]: Simplify re into re 16.012 * [backup-simplify]: Simplify (log re) into (log re) 16.012 * [backup-simplify]: Simplify (- (log re)) into (- (log re)) 16.012 * [backup-simplify]: Simplify (+ (log 4.0) (- (log re))) into (- (log 4.0) (log re)) 16.013 * [backup-simplify]: Simplify (* 1/2 (- (log 4.0) (log re))) into (* 1/2 (- (log 4.0) (log re))) 16.013 * [backup-simplify]: Simplify (exp (* 1/2 (- (log 4.0) (log re)))) into (exp (* 1/2 (- (log 4.0) (log re)))) 16.013 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.013 * [taylor]: Taking taylor expansion of im in im 16.013 * [backup-simplify]: Simplify 0 into 0 16.014 * [backup-simplify]: Simplify 1 into 1 16.014 * [backup-simplify]: Simplify (* 1 1) into 1 16.014 * [backup-simplify]: Simplify (/ (exp (* 1/2 (- (log 4.0) (log re)))) 1) into (exp (* 1/2 (- (log 4.0) (log re)))) 16.016 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4.0 1)))) 1) into 0 16.017 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 16.017 * [backup-simplify]: Simplify (- 0) into 0 16.018 * [backup-simplify]: Simplify (+ 0 0) into 0 16.019 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (log 4.0) (log re)))) into 0 16.022 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 4.0 1)))) 2) into 0 16.024 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 16.024 * [backup-simplify]: Simplify (- 0) into 0 16.024 * [backup-simplify]: Simplify (+ 0 0) into 0 16.026 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log 4.0) (log re))))) into 0 16.028 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (log 4.0) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.030 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (log 4.0) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/2 (- (log 4.0) (log re)))) (/ 0 1)))) into 0 16.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/2 (- (log 4.0) (log re)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.035 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 (exp (* 1/2 (- (log 4.0) (log re))))))) into 0 16.035 * [backup-simplify]: Simplify 0 into 0 16.035 * [backup-simplify]: Simplify 0 into 0 16.038 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 4.0 1)))) 2) into 0 16.040 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 16.041 * [backup-simplify]: Simplify (- 0) into 0 16.041 * [backup-simplify]: Simplify (+ 0 0) into 0 16.042 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log 4.0) (log re))))) into 0 16.044 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (log 4.0) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.044 * [backup-simplify]: Simplify 0 into 0 16.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 16.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 16.048 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 16.048 * [backup-simplify]: Simplify (+ 0 0) into 0 16.049 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 16.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.050 * [backup-simplify]: Simplify (+ 0 0) into 0 16.051 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 2)))) into 0 16.056 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 4.0 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1.0 (/ 1 (pow im 2)))) 1)) (pow 4.0 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 4.0 1)))) 6) into 0 16.056 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 4.0)) into (- (log 4.0) (log re)) 16.058 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 0.25 (pow im 2))) (+ (* 0 0) (* 0 (- (log 4.0) (log re)))))) into 0 16.061 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (log 4.0) (log re)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 0.125 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.061 * [taylor]: Taking taylor expansion of 0 in im 16.061 * [backup-simplify]: Simplify 0 into 0 16.061 * [backup-simplify]: Simplify 0 into 0 16.061 * [backup-simplify]: Simplify (exp (* 1/2 (- (log 4.0) (log (/ 1 re))))) into (exp (* 1/2 (- (log 4.0) (log (/ 1 re))))) 16.062 * [backup-simplify]: Simplify (pow (* (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) 2.0) 1/2) into (pow (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) 1/2) 16.062 * [approximate]: Taking taylor expansion of (pow (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) 1/2) in (re im) around 0 16.062 * [taylor]: Taking taylor expansion of (pow (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) 1/2) in im 16.062 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in im 16.062 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 16.062 * [taylor]: Taking taylor expansion of 1/2 in im 16.062 * [backup-simplify]: Simplify 1/2 into 1/2 16.062 * [taylor]: Taking taylor expansion of (log (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 16.062 * [taylor]: Taking taylor expansion of (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 16.062 * [taylor]: Taking taylor expansion of 2.0 in im 16.062 * [backup-simplify]: Simplify 2.0 into 2.0 16.062 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 16.062 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 16.062 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 16.062 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 16.062 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 16.062 * [taylor]: Taking taylor expansion of (/ -1 re) in im 16.062 * [taylor]: Taking taylor expansion of -1 in im 16.062 * [backup-simplify]: Simplify -1 into -1 16.062 * [taylor]: Taking taylor expansion of re in im 16.062 * [backup-simplify]: Simplify re into re 16.063 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 16.063 * [taylor]: Taking taylor expansion of (/ -1 re) in im 16.063 * [taylor]: Taking taylor expansion of -1 in im 16.063 * [backup-simplify]: Simplify -1 into -1 16.063 * [taylor]: Taking taylor expansion of re in im 16.063 * [backup-simplify]: Simplify re into re 16.063 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 16.063 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 16.063 * [taylor]: Taking taylor expansion of (/ -1 im) in im 16.063 * [taylor]: Taking taylor expansion of -1 in im 16.063 * [backup-simplify]: Simplify -1 into -1 16.063 * [taylor]: Taking taylor expansion of im in im 16.063 * [backup-simplify]: Simplify 0 into 0 16.063 * [backup-simplify]: Simplify 1 into 1 16.063 * [backup-simplify]: Simplify (/ -1 1) into -1 16.063 * [taylor]: Taking taylor expansion of (/ -1 im) in im 16.063 * [taylor]: Taking taylor expansion of -1 in im 16.064 * [backup-simplify]: Simplify -1 into -1 16.064 * [taylor]: Taking taylor expansion of im in im 16.064 * [backup-simplify]: Simplify 0 into 0 16.064 * [backup-simplify]: Simplify 1 into 1 16.064 * [backup-simplify]: Simplify (/ -1 1) into -1 16.065 * [backup-simplify]: Simplify (* -1 -1) into 1 16.065 * [backup-simplify]: Simplify (+ 0 1) into 1 16.065 * [backup-simplify]: Simplify (sqrt 1) into 1 16.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.068 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 16.068 * [backup-simplify]: Simplify (+ 0 0) into 0 16.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.069 * [taylor]: Taking taylor expansion of (/ 1 re) in im 16.069 * [taylor]: Taking taylor expansion of re in im 16.069 * [backup-simplify]: Simplify re into re 16.069 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 16.069 * [backup-simplify]: Simplify (+ 1 0) into 1 16.070 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 16.070 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.071 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) (log 2.0)) into (- (log 2.0) (log im)) 16.072 * [backup-simplify]: Simplify (* 1/2 (- (log 2.0) (log im))) into (* 1/2 (- (log 2.0) (log im))) 16.072 * [backup-simplify]: Simplify (exp (* 1/2 (- (log 2.0) (log im)))) into (exp (* 1/2 (- (log 2.0) (log im)))) 16.072 * [taylor]: Taking taylor expansion of (pow (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) 1/2) in re 16.072 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in re 16.072 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 16.072 * [taylor]: Taking taylor expansion of 1/2 in re 16.072 * [backup-simplify]: Simplify 1/2 into 1/2 16.072 * [taylor]: Taking taylor expansion of (log (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 16.072 * [taylor]: Taking taylor expansion of (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 16.072 * [taylor]: Taking taylor expansion of 2.0 in re 16.072 * [backup-simplify]: Simplify 2.0 into 2.0 16.073 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 16.073 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 16.073 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 16.073 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 16.073 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 16.073 * [taylor]: Taking taylor expansion of (/ -1 re) in re 16.073 * [taylor]: Taking taylor expansion of -1 in re 16.073 * [backup-simplify]: Simplify -1 into -1 16.073 * [taylor]: Taking taylor expansion of re in re 16.073 * [backup-simplify]: Simplify 0 into 0 16.073 * [backup-simplify]: Simplify 1 into 1 16.073 * [backup-simplify]: Simplify (/ -1 1) into -1 16.073 * [taylor]: Taking taylor expansion of (/ -1 re) in re 16.073 * [taylor]: Taking taylor expansion of -1 in re 16.074 * [backup-simplify]: Simplify -1 into -1 16.074 * [taylor]: Taking taylor expansion of re in re 16.074 * [backup-simplify]: Simplify 0 into 0 16.074 * [backup-simplify]: Simplify 1 into 1 16.074 * [backup-simplify]: Simplify (/ -1 1) into -1 16.074 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 16.074 * [taylor]: Taking taylor expansion of (/ -1 im) in re 16.074 * [taylor]: Taking taylor expansion of -1 in re 16.074 * [backup-simplify]: Simplify -1 into -1 16.074 * [taylor]: Taking taylor expansion of im in re 16.074 * [backup-simplify]: Simplify im into im 16.074 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 16.074 * [taylor]: Taking taylor expansion of (/ -1 im) in re 16.074 * [taylor]: Taking taylor expansion of -1 in re 16.074 * [backup-simplify]: Simplify -1 into -1 16.074 * [taylor]: Taking taylor expansion of im in re 16.074 * [backup-simplify]: Simplify im into im 16.074 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 16.075 * [backup-simplify]: Simplify (* -1 -1) into 1 16.075 * [backup-simplify]: Simplify (+ 1 0) into 1 16.076 * [backup-simplify]: Simplify (sqrt 1) into 1 16.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.078 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 16.079 * [backup-simplify]: Simplify (+ 0 0) into 0 16.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.079 * [taylor]: Taking taylor expansion of (/ 1 re) in re 16.079 * [taylor]: Taking taylor expansion of re in re 16.079 * [backup-simplify]: Simplify 0 into 0 16.079 * [backup-simplify]: Simplify 1 into 1 16.080 * [backup-simplify]: Simplify (/ 1 1) into 1 16.080 * [backup-simplify]: Simplify (- 1) into -1 16.081 * [backup-simplify]: Simplify (+ 1 -1) into 0 16.081 * [backup-simplify]: Simplify (* 2.0 0) into 0 16.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.082 * [backup-simplify]: Simplify (- 0) into 0 16.082 * [backup-simplify]: Simplify (+ 0 0) into 0 16.083 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 0)) into 0 16.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.086 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 16.086 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 16.086 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 16.088 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 16.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.089 * [backup-simplify]: Simplify (- 0) into 0 16.090 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 16.090 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into (* 1.0 (/ 1 (pow im 2))) 16.091 * [backup-simplify]: Simplify (log (* 1.0 (/ 1 (pow im 2)))) into (log (/ 1.0 (pow im 2))) 16.091 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1.0 (pow im 2)))) into (+ (log re) (log (/ 1.0 (pow im 2)))) 16.091 * [backup-simplify]: Simplify (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2))))) into (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2))))) 16.092 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) into (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) 16.092 * [taylor]: Taking taylor expansion of (pow (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) 1/2) in re 16.092 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in re 16.092 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 16.092 * [taylor]: Taking taylor expansion of 1/2 in re 16.092 * [backup-simplify]: Simplify 1/2 into 1/2 16.092 * [taylor]: Taking taylor expansion of (log (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 16.092 * [taylor]: Taking taylor expansion of (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 16.092 * [taylor]: Taking taylor expansion of 2.0 in re 16.092 * [backup-simplify]: Simplify 2.0 into 2.0 16.092 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 16.092 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 16.092 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 16.092 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 16.092 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 16.092 * [taylor]: Taking taylor expansion of (/ -1 re) in re 16.092 * [taylor]: Taking taylor expansion of -1 in re 16.092 * [backup-simplify]: Simplify -1 into -1 16.092 * [taylor]: Taking taylor expansion of re in re 16.092 * [backup-simplify]: Simplify 0 into 0 16.092 * [backup-simplify]: Simplify 1 into 1 16.093 * [backup-simplify]: Simplify (/ -1 1) into -1 16.093 * [taylor]: Taking taylor expansion of (/ -1 re) in re 16.093 * [taylor]: Taking taylor expansion of -1 in re 16.093 * [backup-simplify]: Simplify -1 into -1 16.093 * [taylor]: Taking taylor expansion of re in re 16.093 * [backup-simplify]: Simplify 0 into 0 16.093 * [backup-simplify]: Simplify 1 into 1 16.094 * [backup-simplify]: Simplify (/ -1 1) into -1 16.094 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 16.094 * [taylor]: Taking taylor expansion of (/ -1 im) in re 16.094 * [taylor]: Taking taylor expansion of -1 in re 16.094 * [backup-simplify]: Simplify -1 into -1 16.094 * [taylor]: Taking taylor expansion of im in re 16.094 * [backup-simplify]: Simplify im into im 16.094 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 16.094 * [taylor]: Taking taylor expansion of (/ -1 im) in re 16.094 * [taylor]: Taking taylor expansion of -1 in re 16.094 * [backup-simplify]: Simplify -1 into -1 16.094 * [taylor]: Taking taylor expansion of im in re 16.094 * [backup-simplify]: Simplify im into im 16.094 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 16.094 * [backup-simplify]: Simplify (* -1 -1) into 1 16.095 * [backup-simplify]: Simplify (+ 1 0) into 1 16.096 * [backup-simplify]: Simplify (sqrt 1) into 1 16.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.098 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 16.098 * [backup-simplify]: Simplify (+ 0 0) into 0 16.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.099 * [taylor]: Taking taylor expansion of (/ 1 re) in re 16.099 * [taylor]: Taking taylor expansion of re in re 16.099 * [backup-simplify]: Simplify 0 into 0 16.099 * [backup-simplify]: Simplify 1 into 1 16.100 * [backup-simplify]: Simplify (/ 1 1) into 1 16.100 * [backup-simplify]: Simplify (- 1) into -1 16.100 * [backup-simplify]: Simplify (+ 1 -1) into 0 16.101 * [backup-simplify]: Simplify (* 2.0 0) into 0 16.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.102 * [backup-simplify]: Simplify (- 0) into 0 16.102 * [backup-simplify]: Simplify (+ 0 0) into 0 16.103 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 0)) into 0 16.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.114 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 16.114 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 16.114 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 16.116 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 16.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.117 * [backup-simplify]: Simplify (- 0) into 0 16.117 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 16.118 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into (* 1.0 (/ 1 (pow im 2))) 16.118 * [backup-simplify]: Simplify (log (* 1.0 (/ 1 (pow im 2)))) into (log (/ 1.0 (pow im 2))) 16.119 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1.0 (pow im 2)))) into (+ (log re) (log (/ 1.0 (pow im 2)))) 16.119 * [backup-simplify]: Simplify (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2))))) into (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2))))) 16.119 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) into (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) 16.119 * [taylor]: Taking taylor expansion of (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) in im 16.119 * [taylor]: Taking taylor expansion of (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2))))) in im 16.120 * [taylor]: Taking taylor expansion of 1/2 in im 16.120 * [backup-simplify]: Simplify 1/2 into 1/2 16.120 * [taylor]: Taking taylor expansion of (+ (log re) (log (/ 1.0 (pow im 2)))) in im 16.120 * [taylor]: Taking taylor expansion of (log re) in im 16.120 * [taylor]: Taking taylor expansion of re in im 16.120 * [backup-simplify]: Simplify re into re 16.120 * [backup-simplify]: Simplify (log re) into (log re) 16.120 * [taylor]: Taking taylor expansion of (log (/ 1.0 (pow im 2))) in im 16.120 * [taylor]: Taking taylor expansion of (/ 1.0 (pow im 2)) in im 16.120 * [taylor]: Taking taylor expansion of 1.0 in im 16.120 * [backup-simplify]: Simplify 1.0 into 1.0 16.120 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.120 * [taylor]: Taking taylor expansion of im in im 16.120 * [backup-simplify]: Simplify 0 into 0 16.120 * [backup-simplify]: Simplify 1 into 1 16.120 * [backup-simplify]: Simplify (* 1 1) into 1 16.121 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 16.121 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 16.122 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) (log 1.0)) into (- (log 1.0) (* 2 (log im))) 16.123 * [backup-simplify]: Simplify (+ (log re) (- (log 1.0) (* 2 (log im)))) into (- (+ (log 1.0) (log re)) (* 2 (log im))) 16.123 * [backup-simplify]: Simplify (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im)))) into (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im)))) 16.124 * [backup-simplify]: Simplify (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) into (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) 16.124 * [backup-simplify]: Simplify (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) into (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) 16.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.128 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 16.128 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 16.128 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 16.128 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 16.129 * [backup-simplify]: Simplify (+ 0 0) into 0 16.129 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 16.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.131 * [backup-simplify]: Simplify (- 0) into 0 16.131 * [backup-simplify]: Simplify (+ 0 0) into 0 16.133 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0)))) into 0 16.134 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1.0 (/ 1 (pow im 2))) 1)))) 1) into 0 16.135 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1.0 (pow im 2)))) into (+ (log re) (log (/ 1.0 (pow im 2)))) 16.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (log re) (log (/ 1.0 (pow im 2)))))) into 0 16.137 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.137 * [taylor]: Taking taylor expansion of 0 in im 16.137 * [backup-simplify]: Simplify 0 into 0 16.137 * [backup-simplify]: Simplify 0 into 0 16.138 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 16.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 16.140 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1.0 1)))) 1) into 0 16.140 * [backup-simplify]: Simplify (+ 0 0) into 0 16.141 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (+ (log 1.0) (log re)) (* 2 (log im))))) into 0 16.142 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.142 * [backup-simplify]: Simplify 0 into 0 16.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.144 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 16.144 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 16.144 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 16.144 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 16.144 * [backup-simplify]: Simplify (+ 0 0) into 0 16.145 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 16.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.146 * [backup-simplify]: Simplify (- 0) into 0 16.146 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 16.147 * [backup-simplify]: Simplify (+ (* 2.0 (- (* 1/8 (/ 1 (pow im 4))))) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))))) into (- (* 0.25 (/ 1 (pow im 4)))) 16.148 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1.0 (/ 1 (pow im 2))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.25 (/ 1 (pow im 4))))) 1)) (pow (* 1.0 (/ 1 (pow im 2))) 1)))) 2) into (/ -0.25 (pow im 2)) 16.148 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1.0 (pow im 2)))) into (+ (log re) (log (/ 1.0 (pow im 2)))) 16.149 * [backup-simplify]: Simplify (+ (* 1/2 (/ -0.25 (pow im 2))) (+ (* 0 0) (* 0 (+ (log re) (log (/ 1.0 (pow im 2))))))) into (- (* 0.125 (/ 1 (pow im 2)))) 16.149 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 0.125 (/ 1 (pow im 2)))) 1) 1)))) into (* -0.125 (/ (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) (pow im 2))) 16.150 * [taylor]: Taking taylor expansion of (* -0.125 (/ (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) (pow im 2))) in im 16.150 * [taylor]: Taking taylor expansion of -0.125 in im 16.150 * [backup-simplify]: Simplify -0.125 into -0.125 16.150 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) (pow im 2)) in im 16.150 * [taylor]: Taking taylor expansion of (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) in im 16.150 * [taylor]: Taking taylor expansion of (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2))))) in im 16.150 * [taylor]: Taking taylor expansion of 1/2 in im 16.150 * [backup-simplify]: Simplify 1/2 into 1/2 16.150 * [taylor]: Taking taylor expansion of (+ (log re) (log (/ 1.0 (pow im 2)))) in im 16.150 * [taylor]: Taking taylor expansion of (log re) in im 16.150 * [taylor]: Taking taylor expansion of re in im 16.150 * [backup-simplify]: Simplify re into re 16.150 * [backup-simplify]: Simplify (log re) into (log re) 16.150 * [taylor]: Taking taylor expansion of (log (/ 1.0 (pow im 2))) in im 16.150 * [taylor]: Taking taylor expansion of (/ 1.0 (pow im 2)) in im 16.150 * [taylor]: Taking taylor expansion of 1.0 in im 16.150 * [backup-simplify]: Simplify 1.0 into 1.0 16.150 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.150 * [taylor]: Taking taylor expansion of im in im 16.150 * [backup-simplify]: Simplify 0 into 0 16.150 * [backup-simplify]: Simplify 1 into 1 16.150 * [backup-simplify]: Simplify (* 1 1) into 1 16.150 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 16.151 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 16.151 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) (log 1.0)) into (- (log 1.0) (* 2 (log im))) 16.152 * [backup-simplify]: Simplify (+ (log re) (- (log 1.0) (* 2 (log im)))) into (- (+ (log 1.0) (log re)) (* 2 (log im))) 16.152 * [backup-simplify]: Simplify (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im)))) into (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im)))) 16.152 * [backup-simplify]: Simplify (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) into (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) 16.152 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.152 * [taylor]: Taking taylor expansion of im in im 16.152 * [backup-simplify]: Simplify 0 into 0 16.152 * [backup-simplify]: Simplify 1 into 1 16.153 * [backup-simplify]: Simplify (* 1 1) into 1 16.153 * [backup-simplify]: Simplify (/ (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) 1) into (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) 16.153 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 16.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 16.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1.0 1)))) 1) into 0 16.156 * [backup-simplify]: Simplify (+ 0 0) into 0 16.156 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (+ (log 1.0) (log re)) (* 2 (log im))))) into 0 16.157 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 16.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.160 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into 0 16.160 * [backup-simplify]: Simplify (+ 0 0) into 0 16.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (+ (log 1.0) (log re)) (* 2 (log im)))))) into 0 16.163 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.164 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) (/ 0 1)))) into 0 16.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.167 * [backup-simplify]: Simplify (+ (* -0.125 0) (+ (* 0 0) (* 0 (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im)))))))) into 0 16.167 * [backup-simplify]: Simplify 0 into 0 16.167 * [backup-simplify]: Simplify 0 into 0 16.168 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 16.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.171 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into 0 16.172 * [backup-simplify]: Simplify (+ 0 0) into 0 16.173 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (+ (log 1.0) (log re)) (* 2 (log im)))))) into 0 16.174 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.174 * [backup-simplify]: Simplify 0 into 0 16.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.176 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 16.176 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 16.176 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 16.177 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 im))))) into 0 16.177 * [backup-simplify]: Simplify (+ 0 0) into 0 16.177 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow im 4)))) (* 2 (* (/ 1/2 (pow im 2)) 0)))) (* 2 1)) into 0 16.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.178 * [backup-simplify]: Simplify (- 0) into 0 16.178 * [backup-simplify]: Simplify (+ 0 0) into 0 16.179 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (- (* 1/8 (/ 1 (pow im 4))))) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0)))))) into 0 16.181 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1.0 (/ 1 (pow im 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 0.25 (/ 1 (pow im 4))))) 1)) (pow (* 1.0 (/ 1 (pow im 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1.0 (/ 1 (pow im 2))) 1)))) 6) into 0 16.182 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1.0 (pow im 2)))) into (+ (log re) (log (/ 1.0 (pow im 2)))) 16.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ -0.25 (pow im 2))) (+ (* 0 0) (* 0 (+ (log re) (log (/ 1.0 (pow im 2)))))))) into 0 16.185 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 0.125 (/ 1 (pow im 2)))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.185 * [taylor]: Taking taylor expansion of 0 in im 16.185 * [backup-simplify]: Simplify 0 into 0 16.185 * [backup-simplify]: Simplify 0 into 0 16.186 * [backup-simplify]: Simplify (exp (* 1/2 (- (+ (log 1.0) (log (/ 1 (- re)))) (* 2 (log (/ 1 (- im))))))) into (exp (* 1/2 (- (+ (log (/ -1 re)) (log 1.0)) (* 2 (log (/ -1 im)))))) 16.186 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 2) 16.186 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 16.186 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 16.186 * [taylor]: Taking taylor expansion of (hypot re im) in im 16.186 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 16.186 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 16.186 * [taylor]: Taking taylor expansion of (* re re) in im 16.186 * [taylor]: Taking taylor expansion of re in im 16.186 * [backup-simplify]: Simplify re into re 16.186 * [taylor]: Taking taylor expansion of re in im 16.186 * [backup-simplify]: Simplify re into re 16.186 * [taylor]: Taking taylor expansion of (* im im) in im 16.186 * [taylor]: Taking taylor expansion of im in im 16.186 * [backup-simplify]: Simplify 0 into 0 16.186 * [backup-simplify]: Simplify 1 into 1 16.186 * [taylor]: Taking taylor expansion of im in im 16.186 * [backup-simplify]: Simplify 0 into 0 16.186 * [backup-simplify]: Simplify 1 into 1 16.186 * [backup-simplify]: Simplify (* re re) into (pow re 2) 16.187 * [backup-simplify]: Simplify (* 0 0) into 0 16.187 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 16.187 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 16.187 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 16.188 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 16.188 * [backup-simplify]: Simplify (+ 0 0) into 0 16.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 16.188 * [taylor]: Taking taylor expansion of (hypot re im) in re 16.189 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 16.189 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 16.189 * [taylor]: Taking taylor expansion of (* re re) in re 16.189 * [taylor]: Taking taylor expansion of re in re 16.189 * [backup-simplify]: Simplify 0 into 0 16.189 * [backup-simplify]: Simplify 1 into 1 16.189 * [taylor]: Taking taylor expansion of re in re 16.189 * [backup-simplify]: Simplify 0 into 0 16.189 * [backup-simplify]: Simplify 1 into 1 16.189 * [taylor]: Taking taylor expansion of (* im im) in re 16.189 * [taylor]: Taking taylor expansion of im in re 16.189 * [backup-simplify]: Simplify im into im 16.189 * [taylor]: Taking taylor expansion of im in re 16.189 * [backup-simplify]: Simplify im into im 16.189 * [backup-simplify]: Simplify (* 0 0) into 0 16.189 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.190 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 16.190 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 16.190 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 16.190 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.191 * [backup-simplify]: Simplify (+ 0 0) into 0 16.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 16.191 * [taylor]: Taking taylor expansion of (hypot re im) in re 16.191 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 16.191 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 16.191 * [taylor]: Taking taylor expansion of (* re re) in re 16.191 * [taylor]: Taking taylor expansion of re in re 16.191 * [backup-simplify]: Simplify 0 into 0 16.191 * [backup-simplify]: Simplify 1 into 1 16.191 * [taylor]: Taking taylor expansion of re in re 16.191 * [backup-simplify]: Simplify 0 into 0 16.191 * [backup-simplify]: Simplify 1 into 1 16.191 * [taylor]: Taking taylor expansion of (* im im) in re 16.191 * [taylor]: Taking taylor expansion of im in re 16.192 * [backup-simplify]: Simplify im into im 16.192 * [taylor]: Taking taylor expansion of im in re 16.192 * [backup-simplify]: Simplify im into im 16.192 * [backup-simplify]: Simplify (* 0 0) into 0 16.192 * [backup-simplify]: Simplify (* im im) into (pow im 2) 16.192 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 16.192 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 16.193 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 16.193 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 16.193 * [backup-simplify]: Simplify (+ 0 0) into 0 16.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 16.194 * [taylor]: Taking taylor expansion of im in im 16.194 * [backup-simplify]: Simplify 0 into 0 16.194 * [backup-simplify]: Simplify 1 into 1 16.194 * [backup-simplify]: Simplify 0 into 0 16.194 * [taylor]: Taking taylor expansion of 0 in im 16.194 * [backup-simplify]: Simplify 0 into 0 16.194 * [backup-simplify]: Simplify 0 into 0 16.194 * [backup-simplify]: Simplify 1 into 1 16.195 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 16.195 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 16.196 * [backup-simplify]: Simplify (+ 1 0) into 1 16.196 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 16.196 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 16.196 * [taylor]: Taking taylor expansion of 1/2 in im 16.196 * [backup-simplify]: Simplify 1/2 into 1/2 16.196 * [taylor]: Taking taylor expansion of im in im 16.197 * [backup-simplify]: Simplify 0 into 0 16.197 * [backup-simplify]: Simplify 1 into 1 16.197 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.198 * [backup-simplify]: Simplify 0 into 0 16.198 * [backup-simplify]: Simplify 0 into 0 16.198 * [backup-simplify]: Simplify 0 into 0 16.199 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 16.200 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 16.200 * [backup-simplify]: Simplify (+ 0 0) into 0 16.200 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 16.200 * [taylor]: Taking taylor expansion of 0 in im 16.200 * [backup-simplify]: Simplify 0 into 0 16.200 * [backup-simplify]: Simplify 0 into 0 16.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.201 * [backup-simplify]: Simplify 0 into 0 16.201 * [backup-simplify]: Simplify 0 into 0 16.202 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 16.202 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 16.202 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 16.202 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 16.202 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 16.202 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 16.202 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 16.202 * [taylor]: Taking taylor expansion of (/ 1 re) in im 16.202 * [taylor]: Taking taylor expansion of re in im 16.202 * [backup-simplify]: Simplify re into re 16.202 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 16.202 * [taylor]: Taking taylor expansion of (/ 1 re) in im 16.202 * [taylor]: Taking taylor expansion of re in im 16.202 * [backup-simplify]: Simplify re into re 16.202 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 16.202 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 16.202 * [taylor]: Taking taylor expansion of (/ 1 im) in im 16.202 * [taylor]: Taking taylor expansion of im in im 16.202 * [backup-simplify]: Simplify 0 into 0 16.202 * [backup-simplify]: Simplify 1 into 1 16.203 * [backup-simplify]: Simplify (/ 1 1) into 1 16.203 * [taylor]: Taking taylor expansion of (/ 1 im) in im 16.203 * [taylor]: Taking taylor expansion of im in im 16.203 * [backup-simplify]: Simplify 0 into 0 16.203 * [backup-simplify]: Simplify 1 into 1 16.203 * [backup-simplify]: Simplify (/ 1 1) into 1 16.204 * [backup-simplify]: Simplify (* 1 1) into 1 16.204 * [backup-simplify]: Simplify (+ 0 1) into 1 16.204 * [backup-simplify]: Simplify (sqrt 1) into 1 16.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.207 * [backup-simplify]: Simplify (+ 0 0) into 0 16.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.208 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 16.208 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 16.208 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 16.208 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 16.208 * [taylor]: Taking taylor expansion of (/ 1 re) in re 16.208 * [taylor]: Taking taylor expansion of re in re 16.208 * [backup-simplify]: Simplify 0 into 0 16.208 * [backup-simplify]: Simplify 1 into 1 16.209 * [backup-simplify]: Simplify (/ 1 1) into 1 16.209 * [taylor]: Taking taylor expansion of (/ 1 re) in re 16.209 * [taylor]: Taking taylor expansion of re in re 16.209 * [backup-simplify]: Simplify 0 into 0 16.209 * [backup-simplify]: Simplify 1 into 1 16.209 * [backup-simplify]: Simplify (/ 1 1) into 1 16.209 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 16.209 * [taylor]: Taking taylor expansion of (/ 1 im) in re 16.209 * [taylor]: Taking taylor expansion of im in re 16.209 * [backup-simplify]: Simplify im into im 16.209 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 16.209 * [taylor]: Taking taylor expansion of (/ 1 im) in re 16.209 * [taylor]: Taking taylor expansion of im in re 16.209 * [backup-simplify]: Simplify im into im 16.210 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 16.210 * [backup-simplify]: Simplify (* 1 1) into 1 16.210 * [backup-simplify]: Simplify (+ 1 0) into 1 16.211 * [backup-simplify]: Simplify (sqrt 1) into 1 16.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.213 * [backup-simplify]: Simplify (+ 0 0) into 0 16.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.214 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 16.214 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 16.214 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 16.214 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 16.214 * [taylor]: Taking taylor expansion of (/ 1 re) in re 16.214 * [taylor]: Taking taylor expansion of re in re 16.214 * [backup-simplify]: Simplify 0 into 0 16.214 * [backup-simplify]: Simplify 1 into 1 16.215 * [backup-simplify]: Simplify (/ 1 1) into 1 16.215 * [taylor]: Taking taylor expansion of (/ 1 re) in re 16.215 * [taylor]: Taking taylor expansion of re in re 16.215 * [backup-simplify]: Simplify 0 into 0 16.215 * [backup-simplify]: Simplify 1 into 1 16.215 * [backup-simplify]: Simplify (/ 1 1) into 1 16.215 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 16.215 * [taylor]: Taking taylor expansion of (/ 1 im) in re 16.215 * [taylor]: Taking taylor expansion of im in re 16.215 * [backup-simplify]: Simplify im into im 16.215 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 16.215 * [taylor]: Taking taylor expansion of (/ 1 im) in re 16.216 * [taylor]: Taking taylor expansion of im in re 16.216 * [backup-simplify]: Simplify im into im 16.216 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 16.216 * [backup-simplify]: Simplify (* 1 1) into 1 16.216 * [backup-simplify]: Simplify (+ 1 0) into 1 16.217 * [backup-simplify]: Simplify (sqrt 1) into 1 16.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.219 * [backup-simplify]: Simplify (+ 0 0) into 0 16.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.220 * [taylor]: Taking taylor expansion of 1 in im 16.220 * [backup-simplify]: Simplify 1 into 1 16.220 * [taylor]: Taking taylor expansion of 0 in im 16.220 * [backup-simplify]: Simplify 0 into 0 16.220 * [backup-simplify]: Simplify 1 into 1 16.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.223 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 16.223 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 16.225 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 16.225 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 16.225 * [taylor]: Taking taylor expansion of 1/2 in im 16.225 * [backup-simplify]: Simplify 1/2 into 1/2 16.225 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.225 * [taylor]: Taking taylor expansion of im in im 16.225 * [backup-simplify]: Simplify 0 into 0 16.225 * [backup-simplify]: Simplify 1 into 1 16.225 * [backup-simplify]: Simplify (* 1 1) into 1 16.225 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.227 * [backup-simplify]: Simplify 0 into 0 16.227 * [backup-simplify]: Simplify 0 into 0 16.227 * [backup-simplify]: Simplify 0 into 0 16.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 16.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 16.230 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 16.231 * [backup-simplify]: Simplify (+ 0 0) into 0 16.231 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 16.231 * [taylor]: Taking taylor expansion of 0 in im 16.231 * [backup-simplify]: Simplify 0 into 0 16.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.233 * [backup-simplify]: Simplify 0 into 0 16.233 * [backup-simplify]: Simplify 0 into 0 16.233 * [backup-simplify]: Simplify 0 into 0 16.233 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 16.234 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 16.234 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 16.234 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 16.234 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 16.234 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 16.234 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 16.234 * [taylor]: Taking taylor expansion of (/ -1 re) in im 16.234 * [taylor]: Taking taylor expansion of -1 in im 16.234 * [backup-simplify]: Simplify -1 into -1 16.234 * [taylor]: Taking taylor expansion of re in im 16.234 * [backup-simplify]: Simplify re into re 16.234 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 16.234 * [taylor]: Taking taylor expansion of (/ -1 re) in im 16.234 * [taylor]: Taking taylor expansion of -1 in im 16.234 * [backup-simplify]: Simplify -1 into -1 16.234 * [taylor]: Taking taylor expansion of re in im 16.234 * [backup-simplify]: Simplify re into re 16.234 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 16.234 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 16.234 * [taylor]: Taking taylor expansion of (/ -1 im) in im 16.234 * [taylor]: Taking taylor expansion of -1 in im 16.234 * [backup-simplify]: Simplify -1 into -1 16.234 * [taylor]: Taking taylor expansion of im in im 16.235 * [backup-simplify]: Simplify 0 into 0 16.235 * [backup-simplify]: Simplify 1 into 1 16.243 * [backup-simplify]: Simplify (/ -1 1) into -1 16.243 * [taylor]: Taking taylor expansion of (/ -1 im) in im 16.243 * [taylor]: Taking taylor expansion of -1 in im 16.243 * [backup-simplify]: Simplify -1 into -1 16.243 * [taylor]: Taking taylor expansion of im in im 16.243 * [backup-simplify]: Simplify 0 into 0 16.243 * [backup-simplify]: Simplify 1 into 1 16.244 * [backup-simplify]: Simplify (/ -1 1) into -1 16.244 * [backup-simplify]: Simplify (* -1 -1) into 1 16.245 * [backup-simplify]: Simplify (+ 0 1) into 1 16.245 * [backup-simplify]: Simplify (sqrt 1) into 1 16.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.247 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 16.248 * [backup-simplify]: Simplify (+ 0 0) into 0 16.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.248 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 16.249 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 16.249 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 16.249 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 16.249 * [taylor]: Taking taylor expansion of (/ -1 re) in re 16.249 * [taylor]: Taking taylor expansion of -1 in re 16.249 * [backup-simplify]: Simplify -1 into -1 16.249 * [taylor]: Taking taylor expansion of re in re 16.249 * [backup-simplify]: Simplify 0 into 0 16.249 * [backup-simplify]: Simplify 1 into 1 16.249 * [backup-simplify]: Simplify (/ -1 1) into -1 16.249 * [taylor]: Taking taylor expansion of (/ -1 re) in re 16.249 * [taylor]: Taking taylor expansion of -1 in re 16.249 * [backup-simplify]: Simplify -1 into -1 16.249 * [taylor]: Taking taylor expansion of re in re 16.249 * [backup-simplify]: Simplify 0 into 0 16.249 * [backup-simplify]: Simplify 1 into 1 16.250 * [backup-simplify]: Simplify (/ -1 1) into -1 16.250 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 16.250 * [taylor]: Taking taylor expansion of (/ -1 im) in re 16.250 * [taylor]: Taking taylor expansion of -1 in re 16.250 * [backup-simplify]: Simplify -1 into -1 16.250 * [taylor]: Taking taylor expansion of im in re 16.250 * [backup-simplify]: Simplify im into im 16.250 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 16.250 * [taylor]: Taking taylor expansion of (/ -1 im) in re 16.250 * [taylor]: Taking taylor expansion of -1 in re 16.250 * [backup-simplify]: Simplify -1 into -1 16.250 * [taylor]: Taking taylor expansion of im in re 16.250 * [backup-simplify]: Simplify im into im 16.250 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 16.251 * [backup-simplify]: Simplify (* -1 -1) into 1 16.251 * [backup-simplify]: Simplify (+ 1 0) into 1 16.251 * [backup-simplify]: Simplify (sqrt 1) into 1 16.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.254 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 16.254 * [backup-simplify]: Simplify (+ 0 0) into 0 16.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.255 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 16.255 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 16.255 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 16.255 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 16.255 * [taylor]: Taking taylor expansion of (/ -1 re) in re 16.255 * [taylor]: Taking taylor expansion of -1 in re 16.255 * [backup-simplify]: Simplify -1 into -1 16.255 * [taylor]: Taking taylor expansion of re in re 16.255 * [backup-simplify]: Simplify 0 into 0 16.255 * [backup-simplify]: Simplify 1 into 1 16.256 * [backup-simplify]: Simplify (/ -1 1) into -1 16.256 * [taylor]: Taking taylor expansion of (/ -1 re) in re 16.256 * [taylor]: Taking taylor expansion of -1 in re 16.256 * [backup-simplify]: Simplify -1 into -1 16.256 * [taylor]: Taking taylor expansion of re in re 16.256 * [backup-simplify]: Simplify 0 into 0 16.256 * [backup-simplify]: Simplify 1 into 1 16.256 * [backup-simplify]: Simplify (/ -1 1) into -1 16.256 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 16.257 * [taylor]: Taking taylor expansion of (/ -1 im) in re 16.257 * [taylor]: Taking taylor expansion of -1 in re 16.257 * [backup-simplify]: Simplify -1 into -1 16.257 * [taylor]: Taking taylor expansion of im in re 16.257 * [backup-simplify]: Simplify im into im 16.257 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 16.257 * [taylor]: Taking taylor expansion of (/ -1 im) in re 16.257 * [taylor]: Taking taylor expansion of -1 in re 16.257 * [backup-simplify]: Simplify -1 into -1 16.257 * [taylor]: Taking taylor expansion of im in re 16.257 * [backup-simplify]: Simplify im into im 16.257 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 16.257 * [backup-simplify]: Simplify (* -1 -1) into 1 16.258 * [backup-simplify]: Simplify (+ 1 0) into 1 16.258 * [backup-simplify]: Simplify (sqrt 1) into 1 16.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.260 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 16.261 * [backup-simplify]: Simplify (+ 0 0) into 0 16.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 16.261 * [taylor]: Taking taylor expansion of 1 in im 16.261 * [backup-simplify]: Simplify 1 into 1 16.262 * [taylor]: Taking taylor expansion of 0 in im 16.262 * [backup-simplify]: Simplify 0 into 0 16.262 * [backup-simplify]: Simplify 1 into 1 16.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.264 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 16.265 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 16.265 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 16.266 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 16.266 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 16.266 * [taylor]: Taking taylor expansion of 1/2 in im 16.266 * [backup-simplify]: Simplify 1/2 into 1/2 16.267 * [taylor]: Taking taylor expansion of (pow im 2) in im 16.267 * [taylor]: Taking taylor expansion of im in im 16.267 * [backup-simplify]: Simplify 0 into 0 16.267 * [backup-simplify]: Simplify 1 into 1 16.267 * [backup-simplify]: Simplify (* 1 1) into 1 16.267 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 16.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 16.269 * [backup-simplify]: Simplify 0 into 0 16.269 * [backup-simplify]: Simplify 0 into 0 16.269 * [backup-simplify]: Simplify 0 into 0 16.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.272 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 16.272 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 16.272 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 16.272 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 16.273 * [backup-simplify]: Simplify (+ 0 0) into 0 16.273 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 16.273 * [taylor]: Taking taylor expansion of 0 in im 16.274 * [backup-simplify]: Simplify 0 into 0 16.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.275 * [backup-simplify]: Simplify 0 into 0 16.275 * [backup-simplify]: Simplify 0 into 0 16.276 * [backup-simplify]: Simplify 0 into 0 16.276 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 16.276 * * * [progress]: simplifying candidates 16.277 * [simplify]: Simplifying: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (pow (* (+ re (hypot re im)) 2.0) 1/2)) (log1p (pow (* (+ re (hypot re im)) 2.0) 1/2)) (* (+ (log (+ re (hypot re im))) (log 2.0)) 1/2) (* (log (* (+ re (hypot re im)) 2.0)) 1/2) (* (log (* (+ re (hypot re im)) 2.0)) 1/2) (* 1 1/2) (* 1 1/2) (pow (* (+ re (hypot re im)) 2.0) (* (cbrt 1/2) (cbrt 1/2))) (pow (* (+ re (hypot re im)) 2.0) (sqrt 1/2)) (pow (* (+ re (hypot re im)) 2.0) 1) (pow (+ re (hypot re im)) 1/2) (pow 2.0 1/2) (log (pow (* (+ re (hypot re im)) 2.0) 1/2)) (exp (pow (* (+ re (hypot re im)) 2.0) 1/2)) (* (cbrt (pow (* (+ re (hypot re im)) 2.0) 1/2)) (cbrt (pow (* (+ re (hypot re im)) 2.0) 1/2))) (cbrt (pow (* (+ re (hypot re im)) 2.0) 1/2)) (* (* (pow (* (+ re (hypot re im)) 2.0) 1/2) (pow (* (+ re (hypot re im)) 2.0) 1/2)) (pow (* (+ re (hypot re im)) 2.0) 1/2)) (sqrt (pow (* (+ re (hypot re im)) 2.0) 1/2)) (sqrt (pow (* (+ re (hypot re im)) 2.0) 1/2)) (pow (* (+ re (hypot re im)) 2.0) (/ 1/2 2)) (pow (* (+ re (hypot re im)) 2.0) (/ 1/2 2)) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 (- (exp (* 1/2 (+ (log 2.0) (log im)))) (+ (* +nan.0 (pow re 2)) (- (* +nan.0 re)))) (exp (* 1/2 (- (log 4.0) (log (/ 1 re))))) (exp (* 1/2 (- (+ (log (/ -1 re)) (log 1.0)) (* 2 (log (/ -1 im)))))) im re (* -1 re) 16.279 * * [simplify]: Extracting # 0 : cost 0 16.279 * * [simplify]: Extracting # 1 : cost 0 16.279 * * [simplify]: Extracting # 2 : cost 0 16.279 * * [simplify]: Extracting # 3 : cost 0 16.280 * * [simplify]: Extracting # 4 : cost 0 16.280 * * [simplify]: Extracting # 5 : cost 0 16.280 * * [simplify]: Extracting # 6 : cost 0 16.280 * * [simplify]: Extracting # 7 : cost 0 16.281 * * [simplify]: Extracting # 8 : cost 0 16.281 * * [simplify]: Extracting # 9 : cost 0 16.281 * * [simplify]: iteration 0 : 101 enodes (cost 460 ) 16.330 * * [simplify]: Extracting # 0 : cost 0 16.330 * * [simplify]: Extracting # 1 : cost 0 16.331 * * [simplify]: Extracting # 2 : cost 0 16.331 * * [simplify]: Extracting # 3 : cost 0 16.331 * * [simplify]: Extracting # 4 : cost 0 16.332 * * [simplify]: iteration 1 : 221 enodes (cost 406 ) 16.443 * * [simplify]: Extracting # 0 : cost 0 16.443 * * [simplify]: Extracting # 1 : cost 0 16.444 * * [simplify]: Extracting # 2 : cost 0 16.445 * * [simplify]: Extracting # 3 : cost 0 16.446 * * [simplify]: Extracting # 4 : cost 0 16.447 * * [simplify]: iteration 2 : 488 enodes (cost 387 ) 16.637 * * [simplify]: Extracting # 0 : cost 0 16.638 * * [simplify]: Extracting # 1 : cost 0 16.641 * * [simplify]: Extracting # 2 : cost 0 16.642 * * [simplify]: Extracting # 3 : cost 0 16.644 * * [simplify]: Extracting # 4 : cost 0 16.645 * * [simplify]: iteration 3 : 1233 enodes (cost 381 ) 18.315 * * [simplify]: Extracting # 0 : cost 0 18.323 * * [simplify]: Extracting # 1 : cost 0 18.327 * * [simplify]: Extracting # 2 : cost 0 18.335 * * [simplify]: Extracting # 3 : cost 0 18.339 * * [simplify]: Extracting # 4 : cost 0 18.343 * * [simplify]: iteration 4 : 3993 enodes (cost 373 ) 19.562 * * [simplify]: Extracting # 0 : cost 0 19.573 * * [simplify]: Extracting # 1 : cost 0 19.591 * * [simplify]: Extracting # 2 : cost 0 19.602 * * [simplify]: iteration done: 5000 enodes (cost 372 ) 19.602 * [simplify]: Simplified to: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (pow (+ re (hypot re im)) 3) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (fma re re (* (hypot re im) (- (hypot re im) re))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (sqrt (* (+ re (hypot re im)) 2.0))) (log1p (sqrt (* (+ re (hypot re im)) 2.0))) (log (sqrt (* (+ re (hypot re im)) 2.0))) (log (sqrt (* (+ re (hypot re im)) 2.0))) (log (sqrt (* (+ re (hypot re im)) 2.0))) 1/2 1/2 (pow (* (+ re (hypot re im)) 2.0) (* (cbrt 1/2) (cbrt 1/2))) (pow (* (+ re (hypot re im)) 2.0) (sqrt 1/2)) (* (+ re (hypot re im)) 2.0) (sqrt (+ re (hypot re im))) (sqrt 2.0) (log (sqrt (* (+ re (hypot re im)) 2.0))) (exp (sqrt (* (+ re (hypot re im)) 2.0))) (* (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0)))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (pow (* (+ re (hypot re im)) 2.0) 3/2) (sqrt (sqrt (* (+ re (hypot re im)) 2.0))) (sqrt (sqrt (* (+ re (hypot re im)) 2.0))) (pow (* (+ re (hypot re im)) 2.0) 1/4) (pow (* (+ re (hypot re im)) 2.0) 1/4) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 (fma +nan.0 (- re (* re re)) (sqrt (* 2.0 im))) (sqrt (* re 4.0)) (sqrt (* (/ -1 re) (/ 1.0 (pow (/ -1 im) 2)))) im re (- re) 19.603 * * * [progress]: adding candidates to table 19.769 * [progress]: [Phase 3 of 3] Extracting. 19.769 * * [regime]: Finding splitpoints for: (# # # # # #) 19.770 * * * [regime-changes]: Trying 2 branch expressions: (im re) 19.770 * * * * [regimes]: Trying to branch on im from (# # # # # #) 19.800 * * * * [regimes]: Trying to branch on re from (# # # # # #) 19.863 * * * [regime]: Found split indices: #