72.209 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.043 * * * [progress]: [2/2] Setting up program. 0.048 * [progress]: [Phase 2 of 3] Improving. 0.049 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.049 * * [simplify]: Extracting # 0 : cost 0 0.049 * * [simplify]: Extracting # 1 : cost 0 0.049 * * [simplify]: Extracting # 2 : cost 0 0.049 * * [simplify]: Extracting # 3 : cost 0 0.049 * * [simplify]: Extracting # 4 : cost 0 0.049 * * [simplify]: Extracting # 5 : cost 0 0.049 * * [simplify]: Extracting # 6 : cost 0 0.049 * * [simplify]: Extracting # 7 : cost 0 0.049 * * [simplify]: Extracting # 8 : cost 0 0.049 * * [simplify]: iteration 0 : 12 enodes (cost 15 ) 0.053 * * [simplify]: Extracting # 0 : cost 0 0.053 * * [simplify]: Extracting # 1 : cost 0 0.053 * * [simplify]: Extracting # 2 : cost 0 0.053 * * [simplify]: iteration 1 : 24 enodes (cost 10 ) 0.060 * * [simplify]: Extracting # 0 : cost 0 0.060 * * [simplify]: iteration 2 : 30 enodes (cost 10 ) 0.064 * * [simplify]: Extracting # 0 : cost 0 0.065 * * [simplify]: iteration 3 : 32 enodes (cost 10 ) 0.069 * * [simplify]: Extracting # 0 : cost 0 0.069 * * [simplify]: iteration done: 32 enodes (cost 10 ) 0.069 * [simplify]: Simplified to: (* 0.5 (sqrt (* (+ re (hypot re im)) 2.0))) 0.073 * * [progress]: iteration 1 / 4 0.073 * * * [progress]: picking best candidate 0.077 * * * * [pick]: Picked # 0.077 * * * [progress]: localizing error 0.087 * * * [progress]: generating rewritten candidates 0.087 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.094 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.110 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 2) 0.112 * * * [progress]: generating series expansions 0.113 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.113 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ re (hypot re im)) 0.113 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.113 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.113 * [taylor]: Taking taylor expansion of re in im 0.113 * [backup-simplify]: Simplify re into re 0.113 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.113 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.113 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.113 * [taylor]: Taking taylor expansion of (* re re) in im 0.113 * [taylor]: Taking taylor expansion of re in im 0.113 * [backup-simplify]: Simplify re into re 0.113 * [taylor]: Taking taylor expansion of re in im 0.113 * [backup-simplify]: Simplify re into re 0.113 * [taylor]: Taking taylor expansion of (* im im) in im 0.113 * [taylor]: Taking taylor expansion of im in im 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [taylor]: Taking taylor expansion of im in im 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.114 * [backup-simplify]: Simplify (* 0 0) into 0 0.114 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.114 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.114 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.115 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.116 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.116 * [taylor]: Taking taylor expansion of re in re 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.116 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.116 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.116 * [taylor]: Taking taylor expansion of (* re re) in re 0.116 * [taylor]: Taking taylor expansion of re in re 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [taylor]: Taking taylor expansion of re in re 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [taylor]: Taking taylor expansion of (* im im) in re 0.116 * [taylor]: Taking taylor expansion of im in re 0.116 * [backup-simplify]: Simplify im into im 0.116 * [taylor]: Taking taylor expansion of im in re 0.116 * [backup-simplify]: Simplify im into im 0.117 * [backup-simplify]: Simplify (* 0 0) into 0 0.117 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.117 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.117 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.118 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.118 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.118 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.119 * [taylor]: Taking taylor expansion of re in re 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.119 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.119 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.119 * [taylor]: Taking taylor expansion of (* re re) in re 0.119 * [taylor]: Taking taylor expansion of re in re 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [taylor]: Taking taylor expansion of re in re 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [taylor]: Taking taylor expansion of (* im im) in re 0.119 * [taylor]: Taking taylor expansion of im in re 0.119 * [backup-simplify]: Simplify im into im 0.119 * [taylor]: Taking taylor expansion of im in re 0.119 * [backup-simplify]: Simplify im into im 0.137 * [backup-simplify]: Simplify (* 0 0) into 0 0.137 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.138 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.138 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.139 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.139 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.140 * [backup-simplify]: Simplify (+ 0 im) into im 0.140 * [taylor]: Taking taylor expansion of im in im 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ 1 0) into 1 0.140 * [taylor]: Taking taylor expansion of 1 in im 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.142 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.142 * [backup-simplify]: Simplify (+ 1 0) into 1 0.143 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.143 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.143 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.143 * [taylor]: Taking taylor expansion of 1/2 in im 0.143 * [backup-simplify]: Simplify 1/2 into 1/2 0.143 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.143 * [taylor]: Taking taylor expansion of im in im 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.147 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [taylor]: Taking taylor expansion of 0 in im 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.152 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 0.152 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.152 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.152 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.152 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.152 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.152 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.152 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.152 * [taylor]: Taking taylor expansion of re in im 0.152 * [backup-simplify]: Simplify re into re 0.152 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.152 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.152 * [taylor]: Taking taylor expansion of re in im 0.152 * [backup-simplify]: Simplify re into re 0.152 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.153 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.153 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.153 * [taylor]: Taking taylor expansion of im in im 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.153 * [taylor]: Taking taylor expansion of im in im 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.154 * [backup-simplify]: Simplify (* 1 1) into 1 0.154 * [backup-simplify]: Simplify (+ 0 1) into 1 0.155 * [backup-simplify]: Simplify (sqrt 1) into 1 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.158 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.158 * [taylor]: Taking taylor expansion of re in im 0.158 * [backup-simplify]: Simplify re into re 0.158 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.158 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.158 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.158 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.159 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.159 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.159 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.159 * [taylor]: Taking taylor expansion of re in re 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (/ 1 1) into 1 0.159 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.159 * [taylor]: Taking taylor expansion of re in re 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (/ 1 1) into 1 0.160 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.160 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.160 * [taylor]: Taking taylor expansion of im in re 0.160 * [backup-simplify]: Simplify im into im 0.160 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.160 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.160 * [taylor]: Taking taylor expansion of im in re 0.160 * [backup-simplify]: Simplify im into im 0.160 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.160 * [backup-simplify]: Simplify (* 1 1) into 1 0.161 * [backup-simplify]: Simplify (+ 1 0) into 1 0.161 * [backup-simplify]: Simplify (sqrt 1) into 1 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.164 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.164 * [taylor]: Taking taylor expansion of re in re 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.165 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.165 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.165 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.165 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.165 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.165 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.165 * [taylor]: Taking taylor expansion of re in re 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.166 * [taylor]: Taking taylor expansion of re in re 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.166 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.166 * [taylor]: Taking taylor expansion of im in re 0.166 * [backup-simplify]: Simplify im into im 0.166 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.166 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.166 * [taylor]: Taking taylor expansion of im in re 0.166 * [backup-simplify]: Simplify im into im 0.166 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.167 * [backup-simplify]: Simplify (* 1 1) into 1 0.167 * [backup-simplify]: Simplify (+ 1 0) into 1 0.168 * [backup-simplify]: Simplify (sqrt 1) into 1 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.171 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.171 * [taylor]: Taking taylor expansion of re in re 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (/ 1 1) into 1 0.172 * [backup-simplify]: Simplify (+ 1 1) into 2 0.172 * [taylor]: Taking taylor expansion of 2 in im 0.172 * [backup-simplify]: Simplify 2 into 2 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.173 * [taylor]: Taking taylor expansion of 0 in im 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 2 into 2 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.176 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.176 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.178 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.179 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.179 * [taylor]: Taking taylor expansion of 1/2 in im 0.179 * [backup-simplify]: Simplify 1/2 into 1/2 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.179 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.179 * [taylor]: Taking taylor expansion of im in im 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (* 1 1) into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.186 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [taylor]: Taking taylor expansion of 0 in im 0.188 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.192 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 0.192 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.192 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.192 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.192 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.192 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.192 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.192 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.192 * [taylor]: Taking taylor expansion of -1 in im 0.192 * [backup-simplify]: Simplify -1 into -1 0.192 * [taylor]: Taking taylor expansion of re in im 0.192 * [backup-simplify]: Simplify re into re 0.192 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.192 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.192 * [taylor]: Taking taylor expansion of -1 in im 0.192 * [backup-simplify]: Simplify -1 into -1 0.192 * [taylor]: Taking taylor expansion of re in im 0.192 * [backup-simplify]: Simplify re into re 0.193 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.193 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.193 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.193 * [taylor]: Taking taylor expansion of -1 in im 0.193 * [backup-simplify]: Simplify -1 into -1 0.193 * [taylor]: Taking taylor expansion of im in im 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (/ -1 1) into -1 0.193 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.193 * [taylor]: Taking taylor expansion of -1 in im 0.193 * [backup-simplify]: Simplify -1 into -1 0.193 * [taylor]: Taking taylor expansion of im in im 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (/ -1 1) into -1 0.194 * [backup-simplify]: Simplify (* -1 -1) into 1 0.195 * [backup-simplify]: Simplify (+ 0 1) into 1 0.195 * [backup-simplify]: Simplify (sqrt 1) into 1 0.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.199 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.199 * [taylor]: Taking taylor expansion of re in im 0.199 * [backup-simplify]: Simplify re into re 0.199 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.199 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.199 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.199 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.199 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.199 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.199 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.199 * [taylor]: Taking taylor expansion of -1 in re 0.199 * [backup-simplify]: Simplify -1 into -1 0.199 * [taylor]: Taking taylor expansion of re in re 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (/ -1 1) into -1 0.200 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.200 * [taylor]: Taking taylor expansion of -1 in re 0.200 * [backup-simplify]: Simplify -1 into -1 0.200 * [taylor]: Taking taylor expansion of re in re 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (/ -1 1) into -1 0.200 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.201 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.201 * [taylor]: Taking taylor expansion of -1 in re 0.201 * [backup-simplify]: Simplify -1 into -1 0.201 * [taylor]: Taking taylor expansion of im in re 0.201 * [backup-simplify]: Simplify im into im 0.201 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.201 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.201 * [taylor]: Taking taylor expansion of -1 in re 0.201 * [backup-simplify]: Simplify -1 into -1 0.201 * [taylor]: Taking taylor expansion of im in re 0.201 * [backup-simplify]: Simplify im into im 0.201 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.201 * [backup-simplify]: Simplify (* -1 -1) into 1 0.202 * [backup-simplify]: Simplify (+ 1 0) into 1 0.202 * [backup-simplify]: Simplify (sqrt 1) into 1 0.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.206 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.206 * [taylor]: Taking taylor expansion of re in re 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.206 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.206 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.207 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.207 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.207 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.207 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.207 * [taylor]: Taking taylor expansion of -1 in re 0.207 * [backup-simplify]: Simplify -1 into -1 0.207 * [taylor]: Taking taylor expansion of re in re 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (/ -1 1) into -1 0.207 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.207 * [taylor]: Taking taylor expansion of -1 in re 0.207 * [backup-simplify]: Simplify -1 into -1 0.207 * [taylor]: Taking taylor expansion of re in re 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (/ -1 1) into -1 0.208 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.208 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.208 * [taylor]: Taking taylor expansion of -1 in re 0.208 * [backup-simplify]: Simplify -1 into -1 0.208 * [taylor]: Taking taylor expansion of im in re 0.208 * [backup-simplify]: Simplify im into im 0.208 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.208 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.208 * [taylor]: Taking taylor expansion of -1 in re 0.208 * [backup-simplify]: Simplify -1 into -1 0.208 * [taylor]: Taking taylor expansion of im in re 0.208 * [backup-simplify]: Simplify im into im 0.208 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.209 * [backup-simplify]: Simplify (* -1 -1) into 1 0.209 * [backup-simplify]: Simplify (+ 1 0) into 1 0.210 * [backup-simplify]: Simplify (sqrt 1) into 1 0.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.213 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.213 * [taylor]: Taking taylor expansion of re in re 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [backup-simplify]: Simplify (- 1) into -1 0.215 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.215 * [taylor]: Taking taylor expansion of 0 in im 0.215 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (- 0) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [taylor]: Taking taylor expansion of 0 in im 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.220 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.220 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.221 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (- 0) into 0 0.223 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.223 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.223 * [taylor]: Taking taylor expansion of 1/2 in im 0.223 * [backup-simplify]: Simplify 1/2 into 1/2 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.223 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.223 * [taylor]: Taking taylor expansion of im in im 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (* 1 1) into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.227 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.227 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.227 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [taylor]: Taking taylor expansion of 0 in im 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.231 * [backup-simplify]: Simplify (sqrt (* (+ re (hypot re im)) 2.0)) into (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) 0.231 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 0.231 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 0.231 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 0.231 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.231 * [taylor]: Taking taylor expansion of re in im 0.231 * [backup-simplify]: Simplify re into re 0.231 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.231 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.231 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.231 * [taylor]: Taking taylor expansion of (* re re) in im 0.231 * [taylor]: Taking taylor expansion of re in im 0.231 * [backup-simplify]: Simplify re into re 0.231 * [taylor]: Taking taylor expansion of re in im 0.231 * [backup-simplify]: Simplify re into re 0.231 * [taylor]: Taking taylor expansion of (* im im) in im 0.231 * [taylor]: Taking taylor expansion of im in im 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [taylor]: Taking taylor expansion of im in im 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.231 * [backup-simplify]: Simplify (* 0 0) into 0 0.231 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.232 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.232 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.232 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.232 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.232 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.233 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.233 * [taylor]: Taking taylor expansion of 2.0 in im 0.233 * [backup-simplify]: Simplify 2.0 into 2.0 0.233 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.234 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.234 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.234 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.234 * [taylor]: Taking taylor expansion of re in re 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.234 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.234 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.234 * [taylor]: Taking taylor expansion of (* re re) in re 0.234 * [taylor]: Taking taylor expansion of re in re 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [taylor]: Taking taylor expansion of re in re 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [taylor]: Taking taylor expansion of (* im im) in re 0.234 * [taylor]: Taking taylor expansion of im in re 0.234 * [backup-simplify]: Simplify im into im 0.234 * [taylor]: Taking taylor expansion of im in re 0.234 * [backup-simplify]: Simplify im into im 0.234 * [backup-simplify]: Simplify (* 0 0) into 0 0.234 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.234 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.234 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.235 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.235 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.235 * [backup-simplify]: Simplify (+ 0 im) into im 0.235 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.236 * [backup-simplify]: Simplify (+ 1 0) into 1 0.236 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.236 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.236 * [taylor]: Taking taylor expansion of 2.0 in re 0.236 * [backup-simplify]: Simplify 2.0 into 2.0 0.236 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.236 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.236 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.236 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.237 * [taylor]: Taking taylor expansion of re in re 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.237 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.237 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.237 * [taylor]: Taking taylor expansion of (* re re) in re 0.237 * [taylor]: Taking taylor expansion of re in re 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [taylor]: Taking taylor expansion of re in re 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [taylor]: Taking taylor expansion of (* im im) in re 0.237 * [taylor]: Taking taylor expansion of im in re 0.237 * [backup-simplify]: Simplify im into im 0.237 * [taylor]: Taking taylor expansion of im in re 0.237 * [backup-simplify]: Simplify im into im 0.237 * [backup-simplify]: Simplify (* 0 0) into 0 0.237 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.237 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.237 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.238 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.238 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.238 * [backup-simplify]: Simplify (+ 0 im) into im 0.238 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.239 * [backup-simplify]: Simplify (+ 1 0) into 1 0.239 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.239 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.239 * [taylor]: Taking taylor expansion of 2.0 in re 0.239 * [backup-simplify]: Simplify 2.0 into 2.0 0.239 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.240 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im)) 0.240 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.240 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.240 * [taylor]: Taking taylor expansion of 2.0 in im 0.240 * [backup-simplify]: Simplify 2.0 into 2.0 0.240 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.241 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.241 * [taylor]: Taking taylor expansion of im in im 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (sqrt 0) into 0 0.242 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.242 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.243 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.243 * [taylor]: Taking taylor expansion of 1/2 in im 0.243 * [backup-simplify]: Simplify 1/2 into 1/2 0.243 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.243 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.243 * [taylor]: Taking taylor expansion of 2.0 in im 0.243 * [backup-simplify]: Simplify 2.0 into 2.0 0.243 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.243 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.244 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.244 * [taylor]: Taking taylor expansion of im in im 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (/ 1 1) into 1 0.244 * [backup-simplify]: Simplify (sqrt 0) into 0 0.245 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.246 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.246 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.249 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.250 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.251 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.252 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.253 * [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 0.253 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.254 * [backup-simplify]: Simplify (+ 1 0) into 1 0.254 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.254 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.255 * [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)))) 0.255 * [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))))) 0.255 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.255 * [taylor]: Taking taylor expansion of 1/8 in im 0.256 * [backup-simplify]: Simplify 1/8 into 1/8 0.256 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.256 * [taylor]: Taking taylor expansion of 2.0 in im 0.256 * [backup-simplify]: Simplify 2.0 into 2.0 0.256 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.256 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.256 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.256 * [taylor]: Taking taylor expansion of im in im 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (* 1 1) into 1 0.257 * [backup-simplify]: Simplify (* 1 1) into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [backup-simplify]: Simplify (sqrt 0) into 0 0.258 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.262 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.270 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.271 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.272 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.274 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.275 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.278 * [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))))))) 0.279 * [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)) 0.279 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.279 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.279 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.279 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.279 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.279 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.279 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.279 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.279 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.279 * [taylor]: Taking taylor expansion of re in im 0.279 * [backup-simplify]: Simplify re into re 0.279 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.279 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.279 * [taylor]: Taking taylor expansion of re in im 0.279 * [backup-simplify]: Simplify re into re 0.279 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.279 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.279 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.279 * [taylor]: Taking taylor expansion of im in im 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.280 * [taylor]: Taking taylor expansion of im in im 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [backup-simplify]: Simplify (* 1 1) into 1 0.280 * [backup-simplify]: Simplify (+ 0 1) into 1 0.281 * [backup-simplify]: Simplify (sqrt 1) into 1 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.282 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.283 * [taylor]: Taking taylor expansion of re in im 0.283 * [backup-simplify]: Simplify re into re 0.283 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.283 * [backup-simplify]: Simplify (+ 1 0) into 1 0.283 * [backup-simplify]: Simplify (sqrt 0) into 0 0.284 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.284 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.284 * [taylor]: Taking taylor expansion of 2.0 in im 0.284 * [backup-simplify]: Simplify 2.0 into 2.0 0.284 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.285 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.285 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.285 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.285 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.285 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.285 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.285 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.285 * [taylor]: Taking taylor expansion of re in re 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.285 * [taylor]: Taking taylor expansion of re in re 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.286 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.286 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.286 * [taylor]: Taking taylor expansion of im in re 0.286 * [backup-simplify]: Simplify im into im 0.286 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.286 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.286 * [taylor]: Taking taylor expansion of im in re 0.286 * [backup-simplify]: Simplify im into im 0.286 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.286 * [backup-simplify]: Simplify (* 1 1) into 1 0.286 * [backup-simplify]: Simplify (+ 1 0) into 1 0.286 * [backup-simplify]: Simplify (sqrt 1) into 1 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.289 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.289 * [taylor]: Taking taylor expansion of re in re 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (/ 1 1) into 1 0.289 * [backup-simplify]: Simplify (+ 1 1) into 2 0.289 * [backup-simplify]: Simplify (sqrt 0) into 0 0.290 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.290 * [taylor]: Taking taylor expansion of 2.0 in re 0.290 * [backup-simplify]: Simplify 2.0 into 2.0 0.290 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.291 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.291 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.291 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.291 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.291 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.291 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.291 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.291 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.291 * [taylor]: Taking taylor expansion of re in re 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.292 * [taylor]: Taking taylor expansion of re in re 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.292 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.292 * [taylor]: Taking taylor expansion of im in re 0.292 * [backup-simplify]: Simplify im into im 0.292 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.292 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.292 * [taylor]: Taking taylor expansion of im in re 0.292 * [backup-simplify]: Simplify im into im 0.292 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.292 * [backup-simplify]: Simplify (* 1 1) into 1 0.293 * [backup-simplify]: Simplify (+ 1 0) into 1 0.293 * [backup-simplify]: Simplify (sqrt 1) into 1 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.295 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.295 * [taylor]: Taking taylor expansion of re in re 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (/ 1 1) into 1 0.295 * [backup-simplify]: Simplify (+ 1 1) into 2 0.295 * [backup-simplify]: Simplify (sqrt 0) into 0 0.296 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.296 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.296 * [taylor]: Taking taylor expansion of 2.0 in re 0.296 * [backup-simplify]: Simplify 2.0 into 2.0 0.297 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.297 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0 0.297 * [taylor]: Taking taylor expansion of 0 in im 0.297 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.299 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.299 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.299 * [taylor]: Taking taylor expansion of +nan.0 in im 0.299 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.299 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.299 * [taylor]: Taking taylor expansion of 2.0 in im 0.299 * [backup-simplify]: Simplify 2.0 into 2.0 0.299 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.305 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.305 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.305 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.305 * [taylor]: Taking taylor expansion of +nan.0 in im 0.305 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.305 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.305 * [taylor]: Taking taylor expansion of 2.0 in im 0.305 * [backup-simplify]: Simplify 2.0 into 2.0 0.305 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.306 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.307 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.308 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.309 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.313 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.313 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.314 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.317 * [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)) 0.320 * [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))))) 0.320 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.320 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.320 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.320 * [taylor]: Taking taylor expansion of +nan.0 in im 0.320 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.320 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.320 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.320 * [taylor]: Taking taylor expansion of 2.0 in im 0.320 * [backup-simplify]: Simplify 2.0 into 2.0 0.320 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.321 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.321 * [taylor]: Taking taylor expansion of im in im 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (* 1 1) into 1 0.323 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.323 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.323 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.323 * [taylor]: Taking taylor expansion of +nan.0 in im 0.323 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.323 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.323 * [taylor]: Taking taylor expansion of 2.0 in im 0.323 * [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 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.327 * [backup-simplify]: Simplify (- 0) into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.330 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.332 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.333 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.333 * [backup-simplify]: Simplify (- 0) into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.339 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [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))) 0.346 * [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))))) 0.346 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.346 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.346 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.346 * [taylor]: Taking taylor expansion of +nan.0 in im 0.346 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.346 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.346 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.346 * [taylor]: Taking taylor expansion of 2.0 in im 0.346 * [backup-simplify]: Simplify 2.0 into 2.0 0.346 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.347 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.347 * [taylor]: Taking taylor expansion of im in im 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (* 1 1) into 1 0.349 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.349 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.349 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.349 * [taylor]: Taking taylor expansion of +nan.0 in im 0.349 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.349 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.349 * [taylor]: Taking taylor expansion of 2.0 in im 0.349 * [backup-simplify]: Simplify 2.0 into 2.0 0.349 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify (- 0) into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.359 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.360 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.363 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.365 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.367 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.372 * [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))))))) 0.372 * [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)))) 0.372 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.372 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.372 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.372 * [taylor]: Taking taylor expansion of 2.0 in im 0.372 * [backup-simplify]: Simplify 2.0 into 2.0 0.373 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.373 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.373 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.373 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.374 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.374 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.374 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.374 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.374 * [taylor]: Taking taylor expansion of -1 in im 0.374 * [backup-simplify]: Simplify -1 into -1 0.374 * [taylor]: Taking taylor expansion of re in im 0.374 * [backup-simplify]: Simplify re into re 0.374 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.374 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.374 * [taylor]: Taking taylor expansion of -1 in im 0.374 * [backup-simplify]: Simplify -1 into -1 0.374 * [taylor]: Taking taylor expansion of re in im 0.374 * [backup-simplify]: Simplify re into re 0.374 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.374 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.374 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.374 * [taylor]: Taking taylor expansion of -1 in im 0.374 * [backup-simplify]: Simplify -1 into -1 0.374 * [taylor]: Taking taylor expansion of im in im 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (/ -1 1) into -1 0.375 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.375 * [taylor]: Taking taylor expansion of -1 in im 0.375 * [backup-simplify]: Simplify -1 into -1 0.375 * [taylor]: Taking taylor expansion of im in im 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (/ -1 1) into -1 0.376 * [backup-simplify]: Simplify (* -1 -1) into 1 0.376 * [backup-simplify]: Simplify (+ 0 1) into 1 0.376 * [backup-simplify]: Simplify (sqrt 1) into 1 0.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.380 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.380 * [taylor]: Taking taylor expansion of re in im 0.380 * [backup-simplify]: Simplify re into re 0.380 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.380 * [backup-simplify]: Simplify (+ 1 0) into 1 0.381 * [backup-simplify]: Simplify (sqrt 0) into 0 0.382 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.382 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.382 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.382 * [taylor]: Taking taylor expansion of 2.0 in re 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 0.383 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.383 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.383 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.384 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.384 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.384 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.384 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.384 * [taylor]: Taking taylor expansion of -1 in re 0.384 * [backup-simplify]: Simplify -1 into -1 0.384 * [taylor]: Taking taylor expansion of re in re 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (/ -1 1) into -1 0.384 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.384 * [taylor]: Taking taylor expansion of -1 in re 0.384 * [backup-simplify]: Simplify -1 into -1 0.384 * [taylor]: Taking taylor expansion of re in re 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (/ -1 1) into -1 0.385 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.385 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.385 * [taylor]: Taking taylor expansion of -1 in re 0.385 * [backup-simplify]: Simplify -1 into -1 0.385 * [taylor]: Taking taylor expansion of im in re 0.385 * [backup-simplify]: Simplify im into im 0.385 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.385 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.385 * [taylor]: Taking taylor expansion of -1 in re 0.385 * [backup-simplify]: Simplify -1 into -1 0.385 * [taylor]: Taking taylor expansion of im in re 0.385 * [backup-simplify]: Simplify im into im 0.385 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.386 * [backup-simplify]: Simplify (* -1 -1) into 1 0.386 * [backup-simplify]: Simplify (+ 1 0) into 1 0.386 * [backup-simplify]: Simplify (sqrt 1) into 1 0.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.390 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.390 * [taylor]: Taking taylor expansion of re in re 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (/ 1 1) into 1 0.391 * [backup-simplify]: Simplify (- 1) into -1 0.391 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (- 0) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.402 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.402 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.403 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify (- 0) into 0 0.404 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.404 * [backup-simplify]: Simplify (sqrt 0) into 0 0.405 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.405 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.405 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.405 * [taylor]: Taking taylor expansion of 2.0 in re 0.405 * [backup-simplify]: Simplify 2.0 into 2.0 0.405 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.406 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.406 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.406 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.406 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.406 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.406 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.406 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.406 * [taylor]: Taking taylor expansion of -1 in re 0.406 * [backup-simplify]: Simplify -1 into -1 0.406 * [taylor]: Taking taylor expansion of re in re 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (/ -1 1) into -1 0.406 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.406 * [taylor]: Taking taylor expansion of -1 in re 0.406 * [backup-simplify]: Simplify -1 into -1 0.406 * [taylor]: Taking taylor expansion of re in re 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (/ -1 1) into -1 0.407 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.407 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.407 * [taylor]: Taking taylor expansion of -1 in re 0.407 * [backup-simplify]: Simplify -1 into -1 0.407 * [taylor]: Taking taylor expansion of im in re 0.407 * [backup-simplify]: Simplify im into im 0.407 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.407 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.407 * [taylor]: Taking taylor expansion of -1 in re 0.407 * [backup-simplify]: Simplify -1 into -1 0.407 * [taylor]: Taking taylor expansion of im in re 0.407 * [backup-simplify]: Simplify im into im 0.407 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.407 * [backup-simplify]: Simplify (* -1 -1) into 1 0.407 * [backup-simplify]: Simplify (+ 1 0) into 1 0.408 * [backup-simplify]: Simplify (sqrt 1) into 1 0.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.410 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.410 * [taylor]: Taking taylor expansion of re in re 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (/ 1 1) into 1 0.410 * [backup-simplify]: Simplify (- 1) into -1 0.411 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.411 * [backup-simplify]: Simplify (- 0) into 0 0.412 * [backup-simplify]: Simplify (+ 0 0) into 0 0.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.413 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.414 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.414 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (- 0) into 0 0.415 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.416 * [backup-simplify]: Simplify (sqrt 0) into 0 0.416 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.416 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.416 * [taylor]: Taking taylor expansion of 0 in im 0.416 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.417 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.417 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.417 * [taylor]: Taking taylor expansion of +nan.0 in im 0.417 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.417 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.417 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.417 * [taylor]: Taking taylor expansion of 2.0 in im 0.417 * [backup-simplify]: Simplify 2.0 into 2.0 0.417 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.418 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.418 * [taylor]: Taking taylor expansion of im in im 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (* 1 1) into 1 0.419 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.420 * [backup-simplify]: Simplify (- 0) into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.422 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.422 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.423 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (- 0) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.426 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.426 * [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)))) 0.426 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.426 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.426 * [taylor]: Taking taylor expansion of +nan.0 in im 0.426 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.426 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.426 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.426 * [taylor]: Taking taylor expansion of 2.0 in im 0.426 * [backup-simplify]: Simplify 2.0 into 2.0 0.427 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.427 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.427 * [taylor]: Taking taylor expansion of im in im 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.429 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.430 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.435 * [backup-simplify]: Simplify (- 0) into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.440 * [backup-simplify]: Simplify (- 0) into 0 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.444 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.444 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.445 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.447 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (- 0) into 0 0.448 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.449 * [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)))))) 0.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.453 * [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)))))) 0.453 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.453 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.453 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.453 * [taylor]: Taking taylor expansion of +nan.0 in im 0.453 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.453 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.453 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.453 * [taylor]: Taking taylor expansion of 2.0 in im 0.453 * [backup-simplify]: Simplify 2.0 into 2.0 0.453 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.454 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.454 * [taylor]: Taking taylor expansion of im in im 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 1 into 1 0.455 * [backup-simplify]: Simplify (* 1 1) into 1 0.455 * [backup-simplify]: Simplify (* 1 1) into 1 0.456 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.456 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.456 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.456 * [taylor]: Taking taylor expansion of +nan.0 in im 0.456 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.456 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.456 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.456 * [taylor]: Taking taylor expansion of 2.0 in im 0.456 * [backup-simplify]: Simplify 2.0 into 2.0 0.457 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.457 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.457 * [taylor]: Taking taylor expansion of im in im 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify (* 1 1) into 1 0.458 * [backup-simplify]: Simplify (* 1 1) into 1 0.459 * [backup-simplify]: Simplify (* 1 1) into 1 0.460 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.461 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.462 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.473 * [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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.478 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.502 * [backup-simplify]: Simplify (- 0) into 0 0.503 * [backup-simplify]: Simplify (+ 0 0) into 0 0.503 * [backup-simplify]: Simplify (- 0) into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 2) 0.503 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.503 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.503 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.504 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.504 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.504 * [taylor]: Taking taylor expansion of (* re re) in im 0.504 * [taylor]: Taking taylor expansion of re in im 0.504 * [backup-simplify]: Simplify re into re 0.504 * [taylor]: Taking taylor expansion of re in im 0.504 * [backup-simplify]: Simplify re into re 0.504 * [taylor]: Taking taylor expansion of (* im im) in im 0.504 * [taylor]: Taking taylor expansion of im in im 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [taylor]: Taking taylor expansion of im in im 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.504 * [backup-simplify]: Simplify (* 0 0) into 0 0.505 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.505 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.505 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.505 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.506 * [backup-simplify]: Simplify (+ 0 0) into 0 0.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.506 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.506 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.506 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.506 * [taylor]: Taking taylor expansion of (* re re) in re 0.506 * [taylor]: Taking taylor expansion of re in re 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [taylor]: Taking taylor expansion of re in re 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [taylor]: Taking taylor expansion of (* im im) in re 0.507 * [taylor]: Taking taylor expansion of im in re 0.507 * [backup-simplify]: Simplify im into im 0.507 * [taylor]: Taking taylor expansion of im in re 0.507 * [backup-simplify]: Simplify im into im 0.507 * [backup-simplify]: Simplify (* 0 0) into 0 0.507 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.507 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.507 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.508 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.508 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.509 * [backup-simplify]: Simplify (+ 0 0) into 0 0.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.509 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.509 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.509 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.509 * [taylor]: Taking taylor expansion of (* re re) in re 0.509 * [taylor]: Taking taylor expansion of re in re 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [taylor]: Taking taylor expansion of re in re 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [taylor]: Taking taylor expansion of (* im im) in re 0.509 * [taylor]: Taking taylor expansion of im in re 0.509 * [backup-simplify]: Simplify im into im 0.509 * [taylor]: Taking taylor expansion of im in re 0.509 * [backup-simplify]: Simplify im into im 0.510 * [backup-simplify]: Simplify (* 0 0) into 0 0.510 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.510 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.510 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.511 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.511 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.511 * [backup-simplify]: Simplify (+ 0 0) into 0 0.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.511 * [taylor]: Taking taylor expansion of im in im 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [taylor]: Taking taylor expansion of 0 in im 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 1 into 1 0.513 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.513 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.513 * [backup-simplify]: Simplify (+ 1 0) into 1 0.514 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.514 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.514 * [taylor]: Taking taylor expansion of 1/2 in im 0.514 * [backup-simplify]: Simplify 1/2 into 1/2 0.514 * [taylor]: Taking taylor expansion of im in im 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.518 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.518 * [backup-simplify]: Simplify (+ 0 0) into 0 0.518 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.518 * [taylor]: Taking taylor expansion of 0 in im 0.518 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.520 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.520 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.520 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.520 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.520 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.520 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.520 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.520 * [taylor]: Taking taylor expansion of re in im 0.520 * [backup-simplify]: Simplify re into re 0.520 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.521 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.521 * [taylor]: Taking taylor expansion of re in im 0.521 * [backup-simplify]: Simplify re into re 0.521 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.521 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.521 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.521 * [taylor]: Taking taylor expansion of im in im 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [backup-simplify]: Simplify (/ 1 1) into 1 0.521 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.521 * [taylor]: Taking taylor expansion of im in im 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.522 * [backup-simplify]: Simplify (/ 1 1) into 1 0.522 * [backup-simplify]: Simplify (* 1 1) into 1 0.522 * [backup-simplify]: Simplify (+ 0 1) into 1 0.523 * [backup-simplify]: Simplify (sqrt 1) into 1 0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.525 * [backup-simplify]: Simplify (+ 0 0) into 0 0.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.526 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.526 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.526 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.527 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.527 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.527 * [taylor]: Taking taylor expansion of re in re 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (/ 1 1) into 1 0.527 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.527 * [taylor]: Taking taylor expansion of re in re 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (/ 1 1) into 1 0.528 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.528 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.528 * [taylor]: Taking taylor expansion of im in re 0.528 * [backup-simplify]: Simplify im into im 0.528 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.528 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.528 * [taylor]: Taking taylor expansion of im in re 0.528 * [backup-simplify]: Simplify im into im 0.528 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.536 * [backup-simplify]: Simplify (* 1 1) into 1 0.537 * [backup-simplify]: Simplify (+ 1 0) into 1 0.537 * [backup-simplify]: Simplify (sqrt 1) into 1 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.540 * [backup-simplify]: Simplify (+ 0 0) into 0 0.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.541 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.541 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.541 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.541 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.541 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.541 * [taylor]: Taking taylor expansion of re in re 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.542 * [backup-simplify]: Simplify (/ 1 1) into 1 0.542 * [taylor]: Taking taylor expansion of (/ 1 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.542 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.542 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.542 * [taylor]: Taking taylor expansion of im in re 0.542 * [backup-simplify]: Simplify im into im 0.542 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.542 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.543 * [taylor]: Taking taylor expansion of im in re 0.543 * [backup-simplify]: Simplify im into im 0.543 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.543 * [backup-simplify]: Simplify (* 1 1) into 1 0.543 * [backup-simplify]: Simplify (+ 1 0) into 1 0.544 * [backup-simplify]: Simplify (sqrt 1) into 1 0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.546 * [backup-simplify]: Simplify (+ 0 0) into 0 0.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.547 * [taylor]: Taking taylor expansion of 1 in im 0.547 * [backup-simplify]: Simplify 1 into 1 0.547 * [taylor]: Taking taylor expansion of 0 in im 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.549 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.549 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.550 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.550 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.550 * [taylor]: Taking taylor expansion of 1/2 in im 0.550 * [backup-simplify]: Simplify 1/2 into 1/2 0.550 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.550 * [taylor]: Taking taylor expansion of im in im 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 1 into 1 0.550 * [backup-simplify]: Simplify (* 1 1) into 1 0.551 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 0 into 0 0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.554 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.554 * [backup-simplify]: Simplify (+ 0 0) into 0 0.554 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.554 * [taylor]: Taking taylor expansion of 0 in im 0.554 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.556 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.556 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.556 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 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 im 0.556 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.556 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.556 * [taylor]: Taking taylor expansion of -1 in im 0.556 * [backup-simplify]: Simplify -1 into -1 0.556 * [taylor]: Taking taylor expansion of re in im 0.556 * [backup-simplify]: Simplify re into re 0.556 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.556 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.556 * [taylor]: Taking taylor expansion of -1 in im 0.556 * [backup-simplify]: Simplify -1 into -1 0.556 * [taylor]: Taking taylor expansion of re in im 0.556 * [backup-simplify]: Simplify re into re 0.556 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.556 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.556 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.556 * [taylor]: Taking taylor expansion of -1 in im 0.556 * [backup-simplify]: Simplify -1 into -1 0.556 * [taylor]: Taking taylor expansion of im in im 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (/ -1 1) into -1 0.556 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.556 * [taylor]: Taking taylor expansion of -1 in im 0.556 * [backup-simplify]: Simplify -1 into -1 0.556 * [taylor]: Taking taylor expansion of im in im 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.557 * [backup-simplify]: Simplify (/ -1 1) into -1 0.557 * [backup-simplify]: Simplify (* -1 -1) into 1 0.557 * [backup-simplify]: Simplify (+ 0 1) into 1 0.557 * [backup-simplify]: Simplify (sqrt 1) into 1 0.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.559 * [backup-simplify]: Simplify (+ 0 0) into 0 0.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.560 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.560 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.560 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.560 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.560 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.560 * [taylor]: Taking taylor expansion of -1 in re 0.560 * [backup-simplify]: Simplify -1 into -1 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 0.560 * [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 -1 in re 0.560 * [backup-simplify]: Simplify -1 into -1 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 0.560 * [backup-simplify]: Simplify (/ -1 1) into -1 0.560 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.560 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.560 * [taylor]: Taking taylor expansion of -1 in re 0.561 * [backup-simplify]: Simplify -1 into -1 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 -1 in re 0.561 * [backup-simplify]: Simplify -1 into -1 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 * [backup-simplify]: Simplify (* -1 -1) into 1 0.561 * [backup-simplify]: Simplify (+ 1 0) into 1 0.561 * [backup-simplify]: Simplify (sqrt 1) into 1 0.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.563 * [backup-simplify]: Simplify (+ 0 0) into 0 0.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.563 * [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)))) 0.564 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.564 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.564 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.564 * [taylor]: Taking taylor expansion of -1 in re 0.564 * [backup-simplify]: Simplify -1 into -1 0.564 * [taylor]: Taking taylor expansion of re in re 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 1 into 1 0.564 * [backup-simplify]: Simplify (/ -1 1) into -1 0.564 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.564 * [taylor]: Taking taylor expansion of -1 in re 0.564 * [backup-simplify]: Simplify -1 into -1 0.564 * [taylor]: Taking taylor expansion of re in re 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 1 into 1 0.564 * [backup-simplify]: Simplify (/ -1 1) into -1 0.564 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.564 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.564 * [taylor]: Taking taylor expansion of -1 in re 0.564 * [backup-simplify]: Simplify -1 into -1 0.564 * [taylor]: Taking taylor expansion of im in re 0.564 * [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 -1 in re 0.565 * [backup-simplify]: Simplify -1 into -1 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 * [backup-simplify]: Simplify (* -1 -1) into 1 0.565 * [backup-simplify]: Simplify (+ 1 0) into 1 0.565 * [backup-simplify]: Simplify (sqrt 1) into 1 0.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.567 * [backup-simplify]: Simplify (+ 0 0) into 0 0.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.567 * [taylor]: Taking taylor expansion of 1 in im 0.567 * [backup-simplify]: Simplify 1 into 1 0.567 * [taylor]: Taking taylor expansion of 0 in im 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.569 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.569 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.569 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.570 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.570 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.570 * [taylor]: Taking taylor expansion of 1/2 in im 0.570 * [backup-simplify]: Simplify 1/2 into 1/2 0.570 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.570 * [taylor]: Taking taylor expansion of im in im 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.571 * [backup-simplify]: Simplify (* 1 1) into 1 0.571 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.574 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.574 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.574 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.574 * [backup-simplify]: Simplify (+ 0 0) into 0 0.574 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.575 * [taylor]: Taking taylor expansion of 0 in im 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.576 * * * [progress]: simplifying candidates 0.577 * [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) 0.577 * * [simplify]: Extracting # 0 : cost 0 0.577 * * [simplify]: Extracting # 1 : cost 0 0.577 * * [simplify]: Extracting # 2 : cost 0 0.577 * * [simplify]: Extracting # 3 : cost 0 0.578 * * [simplify]: Extracting # 4 : cost 0 0.578 * * [simplify]: Extracting # 5 : cost 0 0.578 * * [simplify]: Extracting # 6 : cost 0 0.578 * * [simplify]: Extracting # 7 : cost 0 0.578 * * [simplify]: Extracting # 8 : cost 0 0.578 * * [simplify]: Extracting # 9 : cost 0 0.578 * * [simplify]: Extracting # 10 : cost 0 0.578 * * [simplify]: iteration 0 : 86 enodes (cost 414 ) 0.612 * * [simplify]: Extracting # 0 : cost 0 0.613 * * [simplify]: Extracting # 1 : cost 0 0.613 * * [simplify]: Extracting # 2 : cost 0 0.613 * * [simplify]: Extracting # 3 : cost 0 0.614 * * [simplify]: Extracting # 4 : cost 0 0.614 * * [simplify]: iteration 1 : 187 enodes (cost 377 ) 0.679 * * [simplify]: Extracting # 0 : cost 0 0.679 * * [simplify]: Extracting # 1 : cost 0 0.680 * * [simplify]: Extracting # 2 : cost 0 0.680 * * [simplify]: Extracting # 3 : cost 0 0.681 * * [simplify]: Extracting # 4 : cost 0 0.681 * * [simplify]: iteration 2 : 459 enodes (cost 354 ) 0.945 * * [simplify]: Extracting # 0 : cost 0 0.946 * * [simplify]: Extracting # 1 : cost 0 0.947 * * [simplify]: Extracting # 2 : cost 0 0.948 * * [simplify]: Extracting # 3 : cost 0 0.949 * * [simplify]: iteration 3 : 1219 enodes (cost 345 ) 2.786 * * [simplify]: Extracting # 0 : cost 0 2.794 * * [simplify]: Extracting # 1 : cost 0 2.799 * * [simplify]: Extracting # 2 : cost 0 2.805 * * [simplify]: Extracting # 3 : cost 0 2.810 * * [simplify]: Extracting # 4 : cost 0 2.816 * * [simplify]: iteration 4 : 3260 enodes (cost 344 ) 5.290 * * [simplify]: Extracting # 0 : cost 0 5.296 * * [simplify]: Extracting # 1 : cost 0 5.300 * * [simplify]: Extracting # 2 : cost 0 5.315 * * [simplify]: Extracting # 3 : cost 0 5.323 * * [simplify]: Extracting # 4 : cost 0 5.330 * * [simplify]: iteration done: 5001 enodes (cost 344 ) 5.330 * [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) 5.330 * * * [progress]: adding candidates to table 5.532 * * [progress]: iteration 2 / 4 5.532 * * * [progress]: picking best candidate 5.554 * * * * [pick]: Picked # 5.554 * * * [progress]: localizing error 5.582 * * * [progress]: generating rewritten candidates 5.583 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 5.594 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 5.645 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 5.645 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 5.665 * * * [progress]: generating series expansions 5.665 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 5.665 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ re (hypot re im)) 5.665 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 5.665 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 5.665 * [taylor]: Taking taylor expansion of re in im 5.665 * [backup-simplify]: Simplify re into re 5.665 * [taylor]: Taking taylor expansion of (hypot re im) in im 5.665 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.665 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 5.665 * [taylor]: Taking taylor expansion of (* re re) in im 5.665 * [taylor]: Taking taylor expansion of re in im 5.665 * [backup-simplify]: Simplify re into re 5.665 * [taylor]: Taking taylor expansion of re in im 5.665 * [backup-simplify]: Simplify re into re 5.665 * [taylor]: Taking taylor expansion of (* im im) in im 5.665 * [taylor]: Taking taylor expansion of im in im 5.665 * [backup-simplify]: Simplify 0 into 0 5.666 * [backup-simplify]: Simplify 1 into 1 5.666 * [taylor]: Taking taylor expansion of im in im 5.666 * [backup-simplify]: Simplify 0 into 0 5.666 * [backup-simplify]: Simplify 1 into 1 5.666 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.666 * [backup-simplify]: Simplify (* 0 0) into 0 5.667 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.667 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.667 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.668 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.668 * [backup-simplify]: Simplify (+ 0 0) into 0 5.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.668 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 5.668 * [taylor]: Taking taylor expansion of re in re 5.668 * [backup-simplify]: Simplify 0 into 0 5.668 * [backup-simplify]: Simplify 1 into 1 5.668 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.668 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.668 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.668 * [taylor]: Taking taylor expansion of (* re re) in re 5.669 * [taylor]: Taking taylor expansion of re in re 5.669 * [backup-simplify]: Simplify 0 into 0 5.669 * [backup-simplify]: Simplify 1 into 1 5.669 * [taylor]: Taking taylor expansion of re in re 5.669 * [backup-simplify]: Simplify 0 into 0 5.669 * [backup-simplify]: Simplify 1 into 1 5.669 * [taylor]: Taking taylor expansion of (* im im) in re 5.669 * [taylor]: Taking taylor expansion of im in re 5.669 * [backup-simplify]: Simplify im into im 5.669 * [taylor]: Taking taylor expansion of im in re 5.669 * [backup-simplify]: Simplify im into im 5.670 * [backup-simplify]: Simplify (* 0 0) into 0 5.670 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.670 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.670 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.671 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.671 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.671 * [backup-simplify]: Simplify (+ 0 0) into 0 5.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.672 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 5.672 * [taylor]: Taking taylor expansion of re in re 5.672 * [backup-simplify]: Simplify 0 into 0 5.672 * [backup-simplify]: Simplify 1 into 1 5.672 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.672 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.672 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.672 * [taylor]: Taking taylor expansion of (* re re) in re 5.672 * [taylor]: Taking taylor expansion of re in re 5.672 * [backup-simplify]: Simplify 0 into 0 5.672 * [backup-simplify]: Simplify 1 into 1 5.672 * [taylor]: Taking taylor expansion of re in re 5.672 * [backup-simplify]: Simplify 0 into 0 5.672 * [backup-simplify]: Simplify 1 into 1 5.672 * [taylor]: Taking taylor expansion of (* im im) in re 5.672 * [taylor]: Taking taylor expansion of im in re 5.672 * [backup-simplify]: Simplify im into im 5.672 * [taylor]: Taking taylor expansion of im in re 5.672 * [backup-simplify]: Simplify im into im 5.672 * [backup-simplify]: Simplify (* 0 0) into 0 5.672 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.672 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.672 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.674 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.674 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.675 * [backup-simplify]: Simplify (+ 0 0) into 0 5.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.675 * [backup-simplify]: Simplify (+ 0 im) into im 5.675 * [taylor]: Taking taylor expansion of im in im 5.675 * [backup-simplify]: Simplify 0 into 0 5.675 * [backup-simplify]: Simplify 1 into 1 5.675 * [backup-simplify]: Simplify 0 into 0 5.675 * [backup-simplify]: Simplify (+ 1 0) into 1 5.675 * [taylor]: Taking taylor expansion of 1 in im 5.675 * [backup-simplify]: Simplify 1 into 1 5.675 * [backup-simplify]: Simplify 1 into 1 5.675 * [backup-simplify]: Simplify 1 into 1 5.676 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.676 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.676 * [backup-simplify]: Simplify (+ 1 0) into 1 5.677 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.677 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 5.677 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 5.677 * [taylor]: Taking taylor expansion of 1/2 in im 5.677 * [backup-simplify]: Simplify 1/2 into 1/2 5.677 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.677 * [taylor]: Taking taylor expansion of im in im 5.677 * [backup-simplify]: Simplify 0 into 0 5.677 * [backup-simplify]: Simplify 1 into 1 5.677 * [backup-simplify]: Simplify (/ 1 1) into 1 5.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.678 * [backup-simplify]: Simplify 0 into 0 5.678 * [backup-simplify]: Simplify 0 into 0 5.678 * [backup-simplify]: Simplify 0 into 0 5.679 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.679 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.679 * [backup-simplify]: Simplify (+ 0 0) into 0 5.680 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.680 * [backup-simplify]: Simplify (+ 0 0) into 0 5.680 * [taylor]: Taking taylor expansion of 0 in im 5.680 * [backup-simplify]: Simplify 0 into 0 5.680 * [backup-simplify]: Simplify 0 into 0 5.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.681 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.681 * [backup-simplify]: Simplify 0 into 0 5.681 * [backup-simplify]: Simplify 0 into 0 5.681 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 5.681 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 5.681 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 5.681 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 5.681 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 5.681 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.681 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 5.681 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 5.681 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.681 * [taylor]: Taking taylor expansion of re in im 5.682 * [backup-simplify]: Simplify re into re 5.682 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.682 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.682 * [taylor]: Taking taylor expansion of re in im 5.682 * [backup-simplify]: Simplify re into re 5.682 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.682 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 5.682 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.682 * [taylor]: Taking taylor expansion of im in im 5.682 * [backup-simplify]: Simplify 0 into 0 5.682 * [backup-simplify]: Simplify 1 into 1 5.682 * [backup-simplify]: Simplify (/ 1 1) into 1 5.682 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.682 * [taylor]: Taking taylor expansion of im in im 5.682 * [backup-simplify]: Simplify 0 into 0 5.682 * [backup-simplify]: Simplify 1 into 1 5.682 * [backup-simplify]: Simplify (/ 1 1) into 1 5.682 * [backup-simplify]: Simplify (* 1 1) into 1 5.683 * [backup-simplify]: Simplify (+ 0 1) into 1 5.683 * [backup-simplify]: Simplify (sqrt 1) into 1 5.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.685 * [backup-simplify]: Simplify (+ 0 0) into 0 5.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.685 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.685 * [taylor]: Taking taylor expansion of re in im 5.685 * [backup-simplify]: Simplify re into re 5.685 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.685 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 5.685 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.685 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.685 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.685 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.685 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.685 * [taylor]: Taking taylor expansion of re in re 5.685 * [backup-simplify]: Simplify 0 into 0 5.685 * [backup-simplify]: Simplify 1 into 1 5.686 * [backup-simplify]: Simplify (/ 1 1) into 1 5.686 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.686 * [taylor]: Taking taylor expansion of re in re 5.686 * [backup-simplify]: Simplify 0 into 0 5.686 * [backup-simplify]: Simplify 1 into 1 5.686 * [backup-simplify]: Simplify (/ 1 1) into 1 5.686 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.686 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.686 * [taylor]: Taking taylor expansion of im in re 5.686 * [backup-simplify]: Simplify im into im 5.686 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.686 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.686 * [taylor]: Taking taylor expansion of im in re 5.686 * [backup-simplify]: Simplify im into im 5.686 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.686 * [backup-simplify]: Simplify (* 1 1) into 1 5.687 * [backup-simplify]: Simplify (+ 1 0) into 1 5.687 * [backup-simplify]: Simplify (sqrt 1) into 1 5.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.688 * [backup-simplify]: Simplify (+ 0 0) into 0 5.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.689 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.689 * [taylor]: Taking taylor expansion of re in re 5.689 * [backup-simplify]: Simplify 0 into 0 5.689 * [backup-simplify]: Simplify 1 into 1 5.689 * [backup-simplify]: Simplify (/ 1 1) into 1 5.689 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 5.689 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.689 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.689 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.689 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.689 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.689 * [taylor]: Taking taylor expansion of re in re 5.689 * [backup-simplify]: Simplify 0 into 0 5.689 * [backup-simplify]: Simplify 1 into 1 5.690 * [backup-simplify]: Simplify (/ 1 1) into 1 5.690 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.690 * [taylor]: Taking taylor expansion of re in re 5.690 * [backup-simplify]: Simplify 0 into 0 5.690 * [backup-simplify]: Simplify 1 into 1 5.690 * [backup-simplify]: Simplify (/ 1 1) into 1 5.690 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.690 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.690 * [taylor]: Taking taylor expansion of im in re 5.690 * [backup-simplify]: Simplify im into im 5.690 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.690 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.690 * [taylor]: Taking taylor expansion of im in re 5.690 * [backup-simplify]: Simplify im into im 5.690 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.690 * [backup-simplify]: Simplify (* 1 1) into 1 5.691 * [backup-simplify]: Simplify (+ 1 0) into 1 5.691 * [backup-simplify]: Simplify (sqrt 1) into 1 5.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.692 * [backup-simplify]: Simplify (+ 0 0) into 0 5.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.693 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.693 * [taylor]: Taking taylor expansion of re in re 5.693 * [backup-simplify]: Simplify 0 into 0 5.693 * [backup-simplify]: Simplify 1 into 1 5.693 * [backup-simplify]: Simplify (/ 1 1) into 1 5.694 * [backup-simplify]: Simplify (+ 1 1) into 2 5.694 * [taylor]: Taking taylor expansion of 2 in im 5.694 * [backup-simplify]: Simplify 2 into 2 5.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.694 * [backup-simplify]: Simplify (+ 0 0) into 0 5.694 * [taylor]: Taking taylor expansion of 0 in im 5.694 * [backup-simplify]: Simplify 0 into 0 5.694 * [backup-simplify]: Simplify 2 into 2 5.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.701 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 5.701 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.702 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.703 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 5.703 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.703 * [taylor]: Taking taylor expansion of 1/2 in im 5.703 * [backup-simplify]: Simplify 1/2 into 1/2 5.703 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.703 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.703 * [taylor]: Taking taylor expansion of im in im 5.703 * [backup-simplify]: Simplify 0 into 0 5.703 * [backup-simplify]: Simplify 1 into 1 5.703 * [backup-simplify]: Simplify (* 1 1) into 1 5.703 * [backup-simplify]: Simplify (/ 1 1) into 1 5.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.705 * [backup-simplify]: Simplify 0 into 0 5.705 * [backup-simplify]: Simplify 0 into 0 5.705 * [backup-simplify]: Simplify 0 into 0 5.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 5.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 5.709 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 5.709 * [backup-simplify]: Simplify (+ 0 0) into 0 5.710 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.711 * [backup-simplify]: Simplify (+ 0 0) into 0 5.711 * [taylor]: Taking taylor expansion of 0 in im 5.711 * [backup-simplify]: Simplify 0 into 0 5.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.714 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.714 * [backup-simplify]: Simplify 0 into 0 5.714 * [backup-simplify]: Simplify 0 into 0 5.714 * [backup-simplify]: Simplify 0 into 0 5.714 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 5.715 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 5.715 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 5.715 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 5.715 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 5.715 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.715 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 5.715 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 5.715 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.715 * [taylor]: Taking taylor expansion of -1 in im 5.715 * [backup-simplify]: Simplify -1 into -1 5.715 * [taylor]: Taking taylor expansion of re in im 5.715 * [backup-simplify]: Simplify re into re 5.715 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 5.715 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.715 * [taylor]: Taking taylor expansion of -1 in im 5.715 * [backup-simplify]: Simplify -1 into -1 5.715 * [taylor]: Taking taylor expansion of re in im 5.715 * [backup-simplify]: Simplify re into re 5.715 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 5.715 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 5.716 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.716 * [taylor]: Taking taylor expansion of -1 in im 5.716 * [backup-simplify]: Simplify -1 into -1 5.716 * [taylor]: Taking taylor expansion of im in im 5.716 * [backup-simplify]: Simplify 0 into 0 5.716 * [backup-simplify]: Simplify 1 into 1 5.716 * [backup-simplify]: Simplify (/ -1 1) into -1 5.716 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.716 * [taylor]: Taking taylor expansion of -1 in im 5.716 * [backup-simplify]: Simplify -1 into -1 5.716 * [taylor]: Taking taylor expansion of im in im 5.716 * [backup-simplify]: Simplify 0 into 0 5.716 * [backup-simplify]: Simplify 1 into 1 5.717 * [backup-simplify]: Simplify (/ -1 1) into -1 5.717 * [backup-simplify]: Simplify (* -1 -1) into 1 5.718 * [backup-simplify]: Simplify (+ 0 1) into 1 5.718 * [backup-simplify]: Simplify (sqrt 1) into 1 5.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.721 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.721 * [backup-simplify]: Simplify (+ 0 0) into 0 5.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.722 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.722 * [taylor]: Taking taylor expansion of re in im 5.722 * [backup-simplify]: Simplify re into re 5.722 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.722 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 5.722 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.722 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.722 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.722 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.722 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.722 * [taylor]: Taking taylor expansion of -1 in re 5.722 * [backup-simplify]: Simplify -1 into -1 5.722 * [taylor]: Taking taylor expansion of re in re 5.722 * [backup-simplify]: Simplify 0 into 0 5.722 * [backup-simplify]: Simplify 1 into 1 5.723 * [backup-simplify]: Simplify (/ -1 1) into -1 5.723 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.723 * [taylor]: Taking taylor expansion of -1 in re 5.723 * [backup-simplify]: Simplify -1 into -1 5.723 * [taylor]: Taking taylor expansion of re in re 5.723 * [backup-simplify]: Simplify 0 into 0 5.723 * [backup-simplify]: Simplify 1 into 1 5.723 * [backup-simplify]: Simplify (/ -1 1) into -1 5.723 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.723 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.723 * [taylor]: Taking taylor expansion of -1 in re 5.723 * [backup-simplify]: Simplify -1 into -1 5.723 * [taylor]: Taking taylor expansion of im in re 5.724 * [backup-simplify]: Simplify im into im 5.724 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.724 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.724 * [taylor]: Taking taylor expansion of -1 in re 5.724 * [backup-simplify]: Simplify -1 into -1 5.724 * [taylor]: Taking taylor expansion of im in re 5.724 * [backup-simplify]: Simplify im into im 5.724 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.724 * [backup-simplify]: Simplify (* -1 -1) into 1 5.725 * [backup-simplify]: Simplify (+ 1 0) into 1 5.725 * [backup-simplify]: Simplify (sqrt 1) into 1 5.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.727 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.728 * [backup-simplify]: Simplify (+ 0 0) into 0 5.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.728 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.729 * [taylor]: Taking taylor expansion of re in re 5.729 * [backup-simplify]: Simplify 0 into 0 5.729 * [backup-simplify]: Simplify 1 into 1 5.729 * [backup-simplify]: Simplify (/ 1 1) into 1 5.729 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 5.729 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.729 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.729 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.729 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.729 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.729 * [taylor]: Taking taylor expansion of -1 in re 5.729 * [backup-simplify]: Simplify -1 into -1 5.729 * [taylor]: Taking taylor expansion of re in re 5.729 * [backup-simplify]: Simplify 0 into 0 5.729 * [backup-simplify]: Simplify 1 into 1 5.730 * [backup-simplify]: Simplify (/ -1 1) into -1 5.730 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.730 * [taylor]: Taking taylor expansion of -1 in re 5.730 * [backup-simplify]: Simplify -1 into -1 5.730 * [taylor]: Taking taylor expansion of re in re 5.730 * [backup-simplify]: Simplify 0 into 0 5.730 * [backup-simplify]: Simplify 1 into 1 5.731 * [backup-simplify]: Simplify (/ -1 1) into -1 5.731 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.731 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.731 * [taylor]: Taking taylor expansion of -1 in re 5.731 * [backup-simplify]: Simplify -1 into -1 5.731 * [taylor]: Taking taylor expansion of im in re 5.731 * [backup-simplify]: Simplify im into im 5.731 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.731 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.731 * [taylor]: Taking taylor expansion of -1 in re 5.731 * [backup-simplify]: Simplify -1 into -1 5.731 * [taylor]: Taking taylor expansion of im in re 5.731 * [backup-simplify]: Simplify im into im 5.731 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.731 * [backup-simplify]: Simplify (* -1 -1) into 1 5.732 * [backup-simplify]: Simplify (+ 1 0) into 1 5.732 * [backup-simplify]: Simplify (sqrt 1) into 1 5.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.735 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.735 * [backup-simplify]: Simplify (+ 0 0) into 0 5.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.736 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.736 * [taylor]: Taking taylor expansion of re in re 5.736 * [backup-simplify]: Simplify 0 into 0 5.736 * [backup-simplify]: Simplify 1 into 1 5.736 * [backup-simplify]: Simplify (/ 1 1) into 1 5.737 * [backup-simplify]: Simplify (- 1) into -1 5.737 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.737 * [taylor]: Taking taylor expansion of 0 in im 5.737 * [backup-simplify]: Simplify 0 into 0 5.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.738 * [backup-simplify]: Simplify (- 0) into 0 5.739 * [backup-simplify]: Simplify (+ 0 0) into 0 5.739 * [taylor]: Taking taylor expansion of 0 in im 5.739 * [backup-simplify]: Simplify 0 into 0 5.739 * [backup-simplify]: Simplify 0 into 0 5.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.741 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.742 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 5.742 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.743 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.744 * [backup-simplify]: Simplify (- 0) into 0 5.745 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 5.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.745 * [taylor]: Taking taylor expansion of 1/2 in im 5.745 * [backup-simplify]: Simplify 1/2 into 1/2 5.745 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.745 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.745 * [taylor]: Taking taylor expansion of im in im 5.745 * [backup-simplify]: Simplify 0 into 0 5.745 * [backup-simplify]: Simplify 1 into 1 5.745 * [backup-simplify]: Simplify (* 1 1) into 1 5.746 * [backup-simplify]: Simplify (/ 1 1) into 1 5.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.748 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.748 * [backup-simplify]: Simplify 0 into 0 5.748 * [backup-simplify]: Simplify 0 into 0 5.748 * [backup-simplify]: Simplify 0 into 0 5.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.751 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 5.751 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 5.751 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 5.751 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 5.752 * [backup-simplify]: Simplify (+ 0 0) into 0 5.752 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.754 * [backup-simplify]: Simplify (- 0) into 0 5.754 * [backup-simplify]: Simplify (+ 0 0) into 0 5.754 * [taylor]: Taking taylor expansion of 0 in im 5.754 * [backup-simplify]: Simplify 0 into 0 5.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.757 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 5.758 * [backup-simplify]: Simplify (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) into (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) 5.758 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 5.758 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 5.758 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 5.758 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 5.758 * [taylor]: Taking taylor expansion of re in im 5.758 * [backup-simplify]: Simplify re into re 5.758 * [taylor]: Taking taylor expansion of (hypot re im) in im 5.758 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.758 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 5.758 * [taylor]: Taking taylor expansion of (* re re) in im 5.758 * [taylor]: Taking taylor expansion of re in im 5.758 * [backup-simplify]: Simplify re into re 5.758 * [taylor]: Taking taylor expansion of re in im 5.758 * [backup-simplify]: Simplify re into re 5.758 * [taylor]: Taking taylor expansion of (* im im) in im 5.758 * [taylor]: Taking taylor expansion of im in im 5.758 * [backup-simplify]: Simplify 0 into 0 5.758 * [backup-simplify]: Simplify 1 into 1 5.758 * [taylor]: Taking taylor expansion of im in im 5.758 * [backup-simplify]: Simplify 0 into 0 5.758 * [backup-simplify]: Simplify 1 into 1 5.758 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.759 * [backup-simplify]: Simplify (* 0 0) into 0 5.759 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.759 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.759 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.760 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.760 * [backup-simplify]: Simplify (+ 0 0) into 0 5.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.761 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 5.761 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 5.761 * [backup-simplify]: Simplify (+ 0 0) into 0 5.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 5.761 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.761 * [taylor]: Taking taylor expansion of 2.0 in im 5.761 * [backup-simplify]: Simplify 2.0 into 2.0 5.762 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.762 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 5.762 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 5.762 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 5.762 * [taylor]: Taking taylor expansion of re in re 5.762 * [backup-simplify]: Simplify 0 into 0 5.762 * [backup-simplify]: Simplify 1 into 1 5.762 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.763 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.763 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.763 * [taylor]: Taking taylor expansion of (* re re) in re 5.763 * [taylor]: Taking taylor expansion of re in re 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify 1 into 1 5.763 * [taylor]: Taking taylor expansion of re in re 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify 1 into 1 5.763 * [taylor]: Taking taylor expansion of (* im im) in re 5.763 * [taylor]: Taking taylor expansion of im in re 5.763 * [backup-simplify]: Simplify im into im 5.763 * [taylor]: Taking taylor expansion of im in re 5.763 * [backup-simplify]: Simplify im into im 5.763 * [backup-simplify]: Simplify (* 0 0) into 0 5.763 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.764 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.764 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.764 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.764 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.765 * [backup-simplify]: Simplify (+ 0 0) into 0 5.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.765 * [backup-simplify]: Simplify (+ 0 im) into im 5.765 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 5.766 * [backup-simplify]: Simplify (+ 1 0) into 1 5.766 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 5.766 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.766 * [taylor]: Taking taylor expansion of 2.0 in re 5.766 * [backup-simplify]: Simplify 2.0 into 2.0 5.766 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.767 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 5.767 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 5.767 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 5.767 * [taylor]: Taking taylor expansion of re in re 5.767 * [backup-simplify]: Simplify 0 into 0 5.767 * [backup-simplify]: Simplify 1 into 1 5.767 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.767 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.767 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.767 * [taylor]: Taking taylor expansion of (* re re) in re 5.767 * [taylor]: Taking taylor expansion of re in re 5.767 * [backup-simplify]: Simplify 0 into 0 5.767 * [backup-simplify]: Simplify 1 into 1 5.767 * [taylor]: Taking taylor expansion of re in re 5.767 * [backup-simplify]: Simplify 0 into 0 5.767 * [backup-simplify]: Simplify 1 into 1 5.767 * [taylor]: Taking taylor expansion of (* im im) in re 5.767 * [taylor]: Taking taylor expansion of im in re 5.767 * [backup-simplify]: Simplify im into im 5.768 * [taylor]: Taking taylor expansion of im in re 5.768 * [backup-simplify]: Simplify im into im 5.768 * [backup-simplify]: Simplify (* 0 0) into 0 5.768 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.768 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.768 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.769 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.769 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.769 * [backup-simplify]: Simplify (+ 0 0) into 0 5.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.770 * [backup-simplify]: Simplify (+ 0 im) into im 5.770 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 5.770 * [backup-simplify]: Simplify (+ 1 0) into 1 5.770 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 5.771 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.771 * [taylor]: Taking taylor expansion of 2.0 in re 5.771 * [backup-simplify]: Simplify 2.0 into 2.0 5.771 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.772 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im)) 5.772 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 5.772 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.772 * [taylor]: Taking taylor expansion of 2.0 in im 5.772 * [backup-simplify]: Simplify 2.0 into 2.0 5.773 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.774 * [taylor]: Taking taylor expansion of (sqrt im) in im 5.774 * [taylor]: Taking taylor expansion of im in im 5.774 * [backup-simplify]: Simplify 0 into 0 5.774 * [backup-simplify]: Simplify 1 into 1 5.774 * [backup-simplify]: Simplify (sqrt 0) into 0 5.776 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.776 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 5.776 * [backup-simplify]: Simplify 0 into 0 5.777 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 5.777 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 5.777 * [taylor]: Taking taylor expansion of 1/2 in im 5.777 * [backup-simplify]: Simplify 1/2 into 1/2 5.777 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 5.777 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.777 * [taylor]: Taking taylor expansion of 2.0 in im 5.777 * [backup-simplify]: Simplify 2.0 into 2.0 5.777 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.778 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 5.778 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.778 * [taylor]: Taking taylor expansion of im in im 5.778 * [backup-simplify]: Simplify 0 into 0 5.778 * [backup-simplify]: Simplify 1 into 1 5.779 * [backup-simplify]: Simplify (/ 1 1) into 1 5.779 * [backup-simplify]: Simplify (sqrt 0) into 0 5.780 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.783 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 5.783 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 5.787 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 5.789 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.791 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 5.792 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.794 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.794 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.795 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.795 * [backup-simplify]: Simplify (+ 1 0) into 1 5.796 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.796 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 5.797 * [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)))) 5.798 * [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))))) 5.798 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 5.798 * [taylor]: Taking taylor expansion of 1/8 in im 5.798 * [backup-simplify]: Simplify 1/8 into 1/8 5.798 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 5.798 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.798 * [taylor]: Taking taylor expansion of 2.0 in im 5.798 * [backup-simplify]: Simplify 2.0 into 2.0 5.799 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.799 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 5.799 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 5.799 * [taylor]: Taking taylor expansion of (pow im 3) in im 5.799 * [taylor]: Taking taylor expansion of im in im 5.799 * [backup-simplify]: Simplify 0 into 0 5.799 * [backup-simplify]: Simplify 1 into 1 5.800 * [backup-simplify]: Simplify (* 1 1) into 1 5.800 * [backup-simplify]: Simplify (* 1 1) into 1 5.801 * [backup-simplify]: Simplify (/ 1 1) into 1 5.801 * [backup-simplify]: Simplify (sqrt 0) into 0 5.802 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.807 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.808 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.811 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 5.813 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 5.813 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 5.816 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 5.817 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.820 * [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))))))) 5.820 * [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)) 5.820 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 5.820 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 5.820 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 5.821 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 5.821 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 5.821 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.821 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 5.821 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 5.821 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.821 * [taylor]: Taking taylor expansion of re in im 5.821 * [backup-simplify]: Simplify re into re 5.821 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.821 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.821 * [taylor]: Taking taylor expansion of re in im 5.821 * [backup-simplify]: Simplify re into re 5.821 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.821 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 5.821 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.821 * [taylor]: Taking taylor expansion of im in im 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify 1 into 1 5.821 * [backup-simplify]: Simplify (/ 1 1) into 1 5.821 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.821 * [taylor]: Taking taylor expansion of im in im 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify 1 into 1 5.822 * [backup-simplify]: Simplify (/ 1 1) into 1 5.822 * [backup-simplify]: Simplify (* 1 1) into 1 5.822 * [backup-simplify]: Simplify (+ 0 1) into 1 5.822 * [backup-simplify]: Simplify (sqrt 1) into 1 5.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.824 * [backup-simplify]: Simplify (+ 0 0) into 0 5.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.824 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.824 * [taylor]: Taking taylor expansion of re in im 5.824 * [backup-simplify]: Simplify re into re 5.824 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.824 * [backup-simplify]: Simplify (+ 1 0) into 1 5.825 * [backup-simplify]: Simplify (sqrt 0) into 0 5.826 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.826 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.826 * [taylor]: Taking taylor expansion of 2.0 in im 5.826 * [backup-simplify]: Simplify 2.0 into 2.0 5.826 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.826 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 5.826 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 5.826 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 5.826 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.827 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.827 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.827 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.827 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.827 * [taylor]: Taking taylor expansion of re in re 5.827 * [backup-simplify]: Simplify 0 into 0 5.827 * [backup-simplify]: Simplify 1 into 1 5.827 * [backup-simplify]: Simplify (/ 1 1) into 1 5.827 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.827 * [taylor]: Taking taylor expansion of re in re 5.827 * [backup-simplify]: Simplify 0 into 0 5.827 * [backup-simplify]: Simplify 1 into 1 5.827 * [backup-simplify]: Simplify (/ 1 1) into 1 5.827 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.827 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.827 * [taylor]: Taking taylor expansion of im in re 5.827 * [backup-simplify]: Simplify im into im 5.827 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.827 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.827 * [taylor]: Taking taylor expansion of im in re 5.827 * [backup-simplify]: Simplify im into im 5.827 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.828 * [backup-simplify]: Simplify (* 1 1) into 1 5.828 * [backup-simplify]: Simplify (+ 1 0) into 1 5.828 * [backup-simplify]: Simplify (sqrt 1) into 1 5.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.830 * [backup-simplify]: Simplify (+ 0 0) into 0 5.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.830 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.830 * [taylor]: Taking taylor expansion of re in re 5.830 * [backup-simplify]: Simplify 0 into 0 5.830 * [backup-simplify]: Simplify 1 into 1 5.830 * [backup-simplify]: Simplify (/ 1 1) into 1 5.831 * [backup-simplify]: Simplify (+ 1 1) into 2 5.831 * [backup-simplify]: Simplify (sqrt 0) into 0 5.832 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 5.832 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.832 * [taylor]: Taking taylor expansion of 2.0 in re 5.832 * [backup-simplify]: Simplify 2.0 into 2.0 5.832 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.838 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 5.838 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 5.838 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 5.838 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.838 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.838 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.838 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.838 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.838 * [taylor]: Taking taylor expansion of re in re 5.838 * [backup-simplify]: Simplify 0 into 0 5.838 * [backup-simplify]: Simplify 1 into 1 5.839 * [backup-simplify]: Simplify (/ 1 1) into 1 5.839 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.839 * [taylor]: Taking taylor expansion of re in re 5.839 * [backup-simplify]: Simplify 0 into 0 5.839 * [backup-simplify]: Simplify 1 into 1 5.839 * [backup-simplify]: Simplify (/ 1 1) into 1 5.839 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.839 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.839 * [taylor]: Taking taylor expansion of im in re 5.839 * [backup-simplify]: Simplify im into im 5.839 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.839 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.839 * [taylor]: Taking taylor expansion of im in re 5.839 * [backup-simplify]: Simplify im into im 5.839 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.840 * [backup-simplify]: Simplify (* 1 1) into 1 5.840 * [backup-simplify]: Simplify (+ 1 0) into 1 5.840 * [backup-simplify]: Simplify (sqrt 1) into 1 5.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.842 * [backup-simplify]: Simplify (+ 0 0) into 0 5.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.842 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.842 * [taylor]: Taking taylor expansion of re in re 5.842 * [backup-simplify]: Simplify 0 into 0 5.842 * [backup-simplify]: Simplify 1 into 1 5.842 * [backup-simplify]: Simplify (/ 1 1) into 1 5.843 * [backup-simplify]: Simplify (+ 1 1) into 2 5.843 * [backup-simplify]: Simplify (sqrt 0) into 0 5.844 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 5.844 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.844 * [taylor]: Taking taylor expansion of 2.0 in re 5.844 * [backup-simplify]: Simplify 2.0 into 2.0 5.844 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.845 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0 5.845 * [taylor]: Taking taylor expansion of 0 in im 5.845 * [backup-simplify]: Simplify 0 into 0 5.848 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.848 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 5.848 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.848 * [taylor]: Taking taylor expansion of +nan.0 in im 5.848 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.848 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.848 * [taylor]: Taking taylor expansion of 2.0 in im 5.848 * [backup-simplify]: Simplify 2.0 into 2.0 5.848 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.849 * [backup-simplify]: Simplify 0 into 0 5.850 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.851 * [backup-simplify]: Simplify (+ 0 0) into 0 5.854 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.858 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 5.858 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 5.858 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.858 * [taylor]: Taking taylor expansion of +nan.0 in im 5.858 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.858 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.858 * [taylor]: Taking taylor expansion of 2.0 in im 5.858 * [backup-simplify]: Simplify 2.0 into 2.0 5.859 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.860 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.862 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.863 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.863 * [backup-simplify]: Simplify 0 into 0 5.865 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.868 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 5.868 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.869 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.870 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 5.873 * [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)) 5.875 * [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))))) 5.875 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 5.875 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 5.875 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 5.875 * [taylor]: Taking taylor expansion of +nan.0 in im 5.875 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.875 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 5.875 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.875 * [taylor]: Taking taylor expansion of 2.0 in im 5.875 * [backup-simplify]: Simplify 2.0 into 2.0 5.876 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.876 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.876 * [taylor]: Taking taylor expansion of im in im 5.876 * [backup-simplify]: Simplify 0 into 0 5.876 * [backup-simplify]: Simplify 1 into 1 5.877 * [backup-simplify]: Simplify (* 1 1) into 1 5.878 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.878 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 5.878 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.878 * [taylor]: Taking taylor expansion of +nan.0 in im 5.878 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.878 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.878 * [taylor]: Taking taylor expansion of 2.0 in im 5.878 * [backup-simplify]: Simplify 2.0 into 2.0 5.878 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.881 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 5.882 * [backup-simplify]: Simplify (+ 0 0) into 0 5.882 * [backup-simplify]: Simplify (- 0) into 0 5.882 * [backup-simplify]: Simplify 0 into 0 5.883 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.884 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.885 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.886 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 5.886 * [backup-simplify]: Simplify (- 0) into 0 5.886 * [backup-simplify]: Simplify 0 into 0 5.886 * [backup-simplify]: Simplify 0 into 0 5.887 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 5.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 5.889 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 5.889 * [backup-simplify]: Simplify (+ 0 0) into 0 5.889 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.890 * [backup-simplify]: Simplify (+ 0 0) into 0 5.891 * [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))) 5.893 * [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))))) 5.893 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 5.893 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 5.893 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 5.893 * [taylor]: Taking taylor expansion of +nan.0 in im 5.893 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.893 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 5.893 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.893 * [taylor]: Taking taylor expansion of 2.0 in im 5.893 * [backup-simplify]: Simplify 2.0 into 2.0 5.893 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.894 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.894 * [taylor]: Taking taylor expansion of im in im 5.894 * [backup-simplify]: Simplify 0 into 0 5.894 * [backup-simplify]: Simplify 1 into 1 5.894 * [backup-simplify]: Simplify (* 1 1) into 1 5.895 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.895 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 5.895 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.895 * [taylor]: Taking taylor expansion of +nan.0 in im 5.895 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.895 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.895 * [taylor]: Taking taylor expansion of 2.0 in im 5.895 * [backup-simplify]: Simplify 2.0 into 2.0 5.895 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.897 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 5.897 * [backup-simplify]: Simplify (+ 0 0) into 0 5.898 * [backup-simplify]: Simplify (- 0) into 0 5.898 * [backup-simplify]: Simplify 0 into 0 5.898 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.900 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 5.901 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.902 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.903 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 5.904 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 5.905 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.908 * [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))))))) 5.909 * [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)))) 5.909 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 5.909 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 5.909 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.909 * [taylor]: Taking taylor expansion of 2.0 in im 5.909 * [backup-simplify]: Simplify 2.0 into 2.0 5.909 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.910 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 5.910 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 5.910 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 5.910 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.910 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 5.910 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 5.910 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.910 * [taylor]: Taking taylor expansion of -1 in im 5.910 * [backup-simplify]: Simplify -1 into -1 5.910 * [taylor]: Taking taylor expansion of re in im 5.910 * [backup-simplify]: Simplify re into re 5.910 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 5.910 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.910 * [taylor]: Taking taylor expansion of -1 in im 5.910 * [backup-simplify]: Simplify -1 into -1 5.910 * [taylor]: Taking taylor expansion of re in im 5.910 * [backup-simplify]: Simplify re into re 5.910 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 5.910 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 5.910 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.910 * [taylor]: Taking taylor expansion of -1 in im 5.910 * [backup-simplify]: Simplify -1 into -1 5.910 * [taylor]: Taking taylor expansion of im in im 5.910 * [backup-simplify]: Simplify 0 into 0 5.910 * [backup-simplify]: Simplify 1 into 1 5.911 * [backup-simplify]: Simplify (/ -1 1) into -1 5.911 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.911 * [taylor]: Taking taylor expansion of -1 in im 5.911 * [backup-simplify]: Simplify -1 into -1 5.911 * [taylor]: Taking taylor expansion of im in im 5.911 * [backup-simplify]: Simplify 0 into 0 5.911 * [backup-simplify]: Simplify 1 into 1 5.911 * [backup-simplify]: Simplify (/ -1 1) into -1 5.911 * [backup-simplify]: Simplify (* -1 -1) into 1 5.911 * [backup-simplify]: Simplify (+ 0 1) into 1 5.912 * [backup-simplify]: Simplify (sqrt 1) into 1 5.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.913 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.913 * [backup-simplify]: Simplify (+ 0 0) into 0 5.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.914 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.914 * [taylor]: Taking taylor expansion of re in im 5.914 * [backup-simplify]: Simplify re into re 5.914 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.914 * [backup-simplify]: Simplify (+ 1 0) into 1 5.914 * [backup-simplify]: Simplify (sqrt 0) into 0 5.915 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.915 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 5.915 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.915 * [taylor]: Taking taylor expansion of 2.0 in re 5.915 * [backup-simplify]: Simplify 2.0 into 2.0 5.915 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.916 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 5.916 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 5.916 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.916 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.916 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.916 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.916 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.916 * [taylor]: Taking taylor expansion of -1 in re 5.916 * [backup-simplify]: Simplify -1 into -1 5.916 * [taylor]: Taking taylor expansion of re in re 5.916 * [backup-simplify]: Simplify 0 into 0 5.916 * [backup-simplify]: Simplify 1 into 1 5.916 * [backup-simplify]: Simplify (/ -1 1) into -1 5.917 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.917 * [taylor]: Taking taylor expansion of -1 in re 5.917 * [backup-simplify]: Simplify -1 into -1 5.917 * [taylor]: Taking taylor expansion of re in re 5.917 * [backup-simplify]: Simplify 0 into 0 5.917 * [backup-simplify]: Simplify 1 into 1 5.917 * [backup-simplify]: Simplify (/ -1 1) into -1 5.917 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.917 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.917 * [taylor]: Taking taylor expansion of -1 in re 5.917 * [backup-simplify]: Simplify -1 into -1 5.917 * [taylor]: Taking taylor expansion of im in re 5.917 * [backup-simplify]: Simplify im into im 5.917 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.917 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.917 * [taylor]: Taking taylor expansion of -1 in re 5.917 * [backup-simplify]: Simplify -1 into -1 5.917 * [taylor]: Taking taylor expansion of im in re 5.917 * [backup-simplify]: Simplify im into im 5.917 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.917 * [backup-simplify]: Simplify (* -1 -1) into 1 5.918 * [backup-simplify]: Simplify (+ 1 0) into 1 5.918 * [backup-simplify]: Simplify (sqrt 1) into 1 5.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.919 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.919 * [backup-simplify]: Simplify (+ 0 0) into 0 5.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.920 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.920 * [taylor]: Taking taylor expansion of re in re 5.920 * [backup-simplify]: Simplify 0 into 0 5.920 * [backup-simplify]: Simplify 1 into 1 5.920 * [backup-simplify]: Simplify (/ 1 1) into 1 5.920 * [backup-simplify]: Simplify (- 1) into -1 5.921 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.921 * [backup-simplify]: Simplify (- 0) into 0 5.922 * [backup-simplify]: Simplify (+ 0 0) into 0 5.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.923 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.923 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 5.923 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.924 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.925 * [backup-simplify]: Simplify (- 0) into 0 5.925 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 5.925 * [backup-simplify]: Simplify (sqrt 0) into 0 5.926 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 5.926 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 5.926 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.926 * [taylor]: Taking taylor expansion of 2.0 in re 5.926 * [backup-simplify]: Simplify 2.0 into 2.0 5.926 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.927 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 5.927 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 5.927 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.927 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.927 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.927 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.927 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.927 * [taylor]: Taking taylor expansion of -1 in re 5.927 * [backup-simplify]: Simplify -1 into -1 5.927 * [taylor]: Taking taylor expansion of re in re 5.927 * [backup-simplify]: Simplify 0 into 0 5.927 * [backup-simplify]: Simplify 1 into 1 5.927 * [backup-simplify]: Simplify (/ -1 1) into -1 5.927 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.927 * [taylor]: Taking taylor expansion of -1 in re 5.927 * [backup-simplify]: Simplify -1 into -1 5.927 * [taylor]: Taking taylor expansion of re in re 5.927 * [backup-simplify]: Simplify 0 into 0 5.927 * [backup-simplify]: Simplify 1 into 1 5.927 * [backup-simplify]: Simplify (/ -1 1) into -1 5.928 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.928 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.928 * [taylor]: Taking taylor expansion of -1 in re 5.928 * [backup-simplify]: Simplify -1 into -1 5.928 * [taylor]: Taking taylor expansion of im in re 5.928 * [backup-simplify]: Simplify im into im 5.928 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.928 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.928 * [taylor]: Taking taylor expansion of -1 in re 5.928 * [backup-simplify]: Simplify -1 into -1 5.928 * [taylor]: Taking taylor expansion of im in re 5.928 * [backup-simplify]: Simplify im into im 5.928 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.928 * [backup-simplify]: Simplify (* -1 -1) into 1 5.928 * [backup-simplify]: Simplify (+ 1 0) into 1 5.928 * [backup-simplify]: Simplify (sqrt 1) into 1 5.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.930 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.930 * [backup-simplify]: Simplify (+ 0 0) into 0 5.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.931 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.931 * [taylor]: Taking taylor expansion of re in re 5.931 * [backup-simplify]: Simplify 0 into 0 5.931 * [backup-simplify]: Simplify 1 into 1 5.931 * [backup-simplify]: Simplify (/ 1 1) into 1 5.931 * [backup-simplify]: Simplify (- 1) into -1 5.931 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.932 * [backup-simplify]: Simplify (- 0) into 0 5.932 * [backup-simplify]: Simplify (+ 0 0) into 0 5.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.934 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.934 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 5.934 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.935 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.936 * [backup-simplify]: Simplify (- 0) into 0 5.936 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 5.936 * [backup-simplify]: Simplify (sqrt 0) into 0 5.937 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 5.937 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 5.937 * [taylor]: Taking taylor expansion of 0 in im 5.937 * [backup-simplify]: Simplify 0 into 0 5.938 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 5.938 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 5.938 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 5.938 * [taylor]: Taking taylor expansion of +nan.0 in im 5.938 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.938 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 5.938 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.938 * [taylor]: Taking taylor expansion of 2.0 in im 5.938 * [backup-simplify]: Simplify 2.0 into 2.0 5.938 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.938 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.939 * [taylor]: Taking taylor expansion of im in im 5.939 * [backup-simplify]: Simplify 0 into 0 5.939 * [backup-simplify]: Simplify 1 into 1 5.939 * [backup-simplify]: Simplify (* 1 1) into 1 5.939 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.941 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 5.941 * [backup-simplify]: Simplify (- 0) into 0 5.941 * [backup-simplify]: Simplify 0 into 0 5.941 * [backup-simplify]: Simplify 0 into 0 5.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.949 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 5.949 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 5.949 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 5.949 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 5.949 * [backup-simplify]: Simplify (+ 0 0) into 0 5.950 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.951 * [backup-simplify]: Simplify (- 0) into 0 5.951 * [backup-simplify]: Simplify (+ 0 0) into 0 5.951 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 5.952 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.953 * [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)))) 5.953 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 5.953 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 5.953 * [taylor]: Taking taylor expansion of +nan.0 in im 5.953 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.953 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 5.953 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.953 * [taylor]: Taking taylor expansion of 2.0 in im 5.953 * [backup-simplify]: Simplify 2.0 into 2.0 5.953 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.954 * [taylor]: Taking taylor expansion of (pow im 4) in im 5.954 * [taylor]: Taking taylor expansion of im in im 5.954 * [backup-simplify]: Simplify 0 into 0 5.954 * [backup-simplify]: Simplify 1 into 1 5.954 * [backup-simplify]: Simplify (* 1 1) into 1 5.954 * [backup-simplify]: Simplify (* 1 1) into 1 5.955 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.955 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.956 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.962 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 5.962 * [backup-simplify]: Simplify (- 0) into 0 5.962 * [backup-simplify]: Simplify 0 into 0 5.963 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.964 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 5.965 * [backup-simplify]: Simplify (- 0) into 0 5.965 * [backup-simplify]: Simplify 0 into 0 5.965 * [backup-simplify]: Simplify 0 into 0 5.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.966 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 5.967 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 5.967 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 5.967 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 5.967 * [backup-simplify]: Simplify (+ 0 0) into 0 5.968 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 5.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.970 * [backup-simplify]: Simplify (- 0) into 0 5.970 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 5.971 * [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)))))) 5.972 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.974 * [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)))))) 5.974 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 5.974 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 5.974 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 5.974 * [taylor]: Taking taylor expansion of +nan.0 in im 5.974 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.974 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 5.974 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.974 * [taylor]: Taking taylor expansion of 2.0 in im 5.974 * [backup-simplify]: Simplify 2.0 into 2.0 5.975 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.975 * [taylor]: Taking taylor expansion of (pow im 4) in im 5.975 * [taylor]: Taking taylor expansion of im in im 5.975 * [backup-simplify]: Simplify 0 into 0 5.975 * [backup-simplify]: Simplify 1 into 1 5.976 * [backup-simplify]: Simplify (* 1 1) into 1 5.976 * [backup-simplify]: Simplify (* 1 1) into 1 5.977 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.977 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 5.977 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 5.977 * [taylor]: Taking taylor expansion of +nan.0 in im 5.977 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.977 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 5.977 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.977 * [taylor]: Taking taylor expansion of 2.0 in im 5.977 * [backup-simplify]: Simplify 2.0 into 2.0 5.978 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.978 * [taylor]: Taking taylor expansion of (pow im 6) in im 5.978 * [taylor]: Taking taylor expansion of im in im 5.978 * [backup-simplify]: Simplify 0 into 0 5.978 * [backup-simplify]: Simplify 1 into 1 5.979 * [backup-simplify]: Simplify (* 1 1) into 1 5.979 * [backup-simplify]: Simplify (* 1 1) into 1 5.980 * [backup-simplify]: Simplify (* 1 1) into 1 5.980 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.982 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.983 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.993 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 5.994 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.997 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.998 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 6.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.021 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 6.022 * [backup-simplify]: Simplify (- 0) into 0 6.022 * [backup-simplify]: Simplify (+ 0 0) into 0 6.022 * [backup-simplify]: Simplify (- 0) into 0 6.022 * [backup-simplify]: Simplify 0 into 0 6.022 * [backup-simplify]: Simplify 0 into 0 6.023 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 6.023 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 6.023 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 6.023 * [taylor]: Taking taylor expansion of (hypot re im) in im 6.023 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.023 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 6.023 * [taylor]: Taking taylor expansion of (* re re) in im 6.023 * [taylor]: Taking taylor expansion of re in im 6.023 * [backup-simplify]: Simplify re into re 6.023 * [taylor]: Taking taylor expansion of re in im 6.023 * [backup-simplify]: Simplify re into re 6.023 * [taylor]: Taking taylor expansion of (* im im) in im 6.023 * [taylor]: Taking taylor expansion of im in im 6.023 * [backup-simplify]: Simplify 0 into 0 6.023 * [backup-simplify]: Simplify 1 into 1 6.023 * [taylor]: Taking taylor expansion of im in im 6.023 * [backup-simplify]: Simplify 0 into 0 6.023 * [backup-simplify]: Simplify 1 into 1 6.023 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.024 * [backup-simplify]: Simplify (* 0 0) into 0 6.024 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.024 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.024 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.025 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.025 * [backup-simplify]: Simplify (+ 0 0) into 0 6.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.025 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.026 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.026 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.026 * [taylor]: Taking taylor expansion of (* re re) in re 6.026 * [taylor]: Taking taylor expansion of re in re 6.026 * [backup-simplify]: Simplify 0 into 0 6.026 * [backup-simplify]: Simplify 1 into 1 6.026 * [taylor]: Taking taylor expansion of re in re 6.026 * [backup-simplify]: Simplify 0 into 0 6.026 * [backup-simplify]: Simplify 1 into 1 6.026 * [taylor]: Taking taylor expansion of (* im im) in re 6.026 * [taylor]: Taking taylor expansion of im in re 6.026 * [backup-simplify]: Simplify im into im 6.026 * [taylor]: Taking taylor expansion of im in re 6.026 * [backup-simplify]: Simplify im into im 6.026 * [backup-simplify]: Simplify (* 0 0) into 0 6.026 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.027 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.027 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.027 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.027 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.028 * [backup-simplify]: Simplify (+ 0 0) into 0 6.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.028 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.028 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.028 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.028 * [taylor]: Taking taylor expansion of (* re re) in re 6.028 * [taylor]: Taking taylor expansion of re in re 6.028 * [backup-simplify]: Simplify 0 into 0 6.028 * [backup-simplify]: Simplify 1 into 1 6.028 * [taylor]: Taking taylor expansion of re in re 6.028 * [backup-simplify]: Simplify 0 into 0 6.028 * [backup-simplify]: Simplify 1 into 1 6.028 * [taylor]: Taking taylor expansion of (* im im) in re 6.028 * [taylor]: Taking taylor expansion of im in re 6.028 * [backup-simplify]: Simplify im into im 6.028 * [taylor]: Taking taylor expansion of im in re 6.028 * [backup-simplify]: Simplify im into im 6.029 * [backup-simplify]: Simplify (* 0 0) into 0 6.029 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.029 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.029 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.030 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.030 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.030 * [backup-simplify]: Simplify (+ 0 0) into 0 6.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.031 * [taylor]: Taking taylor expansion of im in im 6.031 * [backup-simplify]: Simplify 0 into 0 6.031 * [backup-simplify]: Simplify 1 into 1 6.031 * [backup-simplify]: Simplify 0 into 0 6.031 * [taylor]: Taking taylor expansion of 0 in im 6.031 * [backup-simplify]: Simplify 0 into 0 6.031 * [backup-simplify]: Simplify 0 into 0 6.031 * [backup-simplify]: Simplify 1 into 1 6.032 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.032 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.033 * [backup-simplify]: Simplify (+ 1 0) into 1 6.033 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.033 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.033 * [taylor]: Taking taylor expansion of 1/2 in im 6.033 * [backup-simplify]: Simplify 1/2 into 1/2 6.033 * [taylor]: Taking taylor expansion of im in im 6.033 * [backup-simplify]: Simplify 0 into 0 6.033 * [backup-simplify]: Simplify 1 into 1 6.034 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.035 * [backup-simplify]: Simplify 0 into 0 6.035 * [backup-simplify]: Simplify 0 into 0 6.035 * [backup-simplify]: Simplify 0 into 0 6.036 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.037 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.037 * [backup-simplify]: Simplify (+ 0 0) into 0 6.037 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.037 * [taylor]: Taking taylor expansion of 0 in im 6.037 * [backup-simplify]: Simplify 0 into 0 6.037 * [backup-simplify]: Simplify 0 into 0 6.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.038 * [backup-simplify]: Simplify 0 into 0 6.038 * [backup-simplify]: Simplify 0 into 0 6.039 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.039 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 6.039 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 6.039 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 6.039 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.039 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 6.039 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 6.039 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.039 * [taylor]: Taking taylor expansion of re in im 6.039 * [backup-simplify]: Simplify re into re 6.039 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.039 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.039 * [taylor]: Taking taylor expansion of re in im 6.039 * [backup-simplify]: Simplify re into re 6.039 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.039 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 6.039 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.039 * [taylor]: Taking taylor expansion of im in im 6.039 * [backup-simplify]: Simplify 0 into 0 6.039 * [backup-simplify]: Simplify 1 into 1 6.040 * [backup-simplify]: Simplify (/ 1 1) into 1 6.040 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.040 * [taylor]: Taking taylor expansion of im in im 6.040 * [backup-simplify]: Simplify 0 into 0 6.040 * [backup-simplify]: Simplify 1 into 1 6.040 * [backup-simplify]: Simplify (/ 1 1) into 1 6.041 * [backup-simplify]: Simplify (* 1 1) into 1 6.041 * [backup-simplify]: Simplify (+ 0 1) into 1 6.041 * [backup-simplify]: Simplify (sqrt 1) into 1 6.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.044 * [backup-simplify]: Simplify (+ 0 0) into 0 6.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.045 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.045 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.045 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.045 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.045 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.045 * [taylor]: Taking taylor expansion of re in re 6.045 * [backup-simplify]: Simplify 0 into 0 6.045 * [backup-simplify]: Simplify 1 into 1 6.046 * [backup-simplify]: Simplify (/ 1 1) into 1 6.046 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.046 * [taylor]: Taking taylor expansion of re in re 6.046 * [backup-simplify]: Simplify 0 into 0 6.046 * [backup-simplify]: Simplify 1 into 1 6.046 * [backup-simplify]: Simplify (/ 1 1) into 1 6.046 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.046 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.046 * [taylor]: Taking taylor expansion of im in re 6.046 * [backup-simplify]: Simplify im into im 6.046 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.046 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.047 * [taylor]: Taking taylor expansion of im in re 6.047 * [backup-simplify]: Simplify im into im 6.047 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.047 * [backup-simplify]: Simplify (* 1 1) into 1 6.047 * [backup-simplify]: Simplify (+ 1 0) into 1 6.048 * [backup-simplify]: Simplify (sqrt 1) into 1 6.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.050 * [backup-simplify]: Simplify (+ 0 0) into 0 6.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.051 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.051 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.051 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.051 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.051 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.051 * [taylor]: Taking taylor expansion of re in re 6.051 * [backup-simplify]: Simplify 0 into 0 6.051 * [backup-simplify]: Simplify 1 into 1 6.052 * [backup-simplify]: Simplify (/ 1 1) into 1 6.052 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.052 * [taylor]: Taking taylor expansion of re in re 6.052 * [backup-simplify]: Simplify 0 into 0 6.052 * [backup-simplify]: Simplify 1 into 1 6.052 * [backup-simplify]: Simplify (/ 1 1) into 1 6.052 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.052 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.052 * [taylor]: Taking taylor expansion of im in re 6.052 * [backup-simplify]: Simplify im into im 6.052 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.052 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.052 * [taylor]: Taking taylor expansion of im in re 6.052 * [backup-simplify]: Simplify im into im 6.052 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.053 * [backup-simplify]: Simplify (* 1 1) into 1 6.053 * [backup-simplify]: Simplify (+ 1 0) into 1 6.054 * [backup-simplify]: Simplify (sqrt 1) into 1 6.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.056 * [backup-simplify]: Simplify (+ 0 0) into 0 6.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.057 * [taylor]: Taking taylor expansion of 1 in im 6.057 * [backup-simplify]: Simplify 1 into 1 6.057 * [taylor]: Taking taylor expansion of 0 in im 6.057 * [backup-simplify]: Simplify 0 into 0 6.057 * [backup-simplify]: Simplify 1 into 1 6.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.060 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 6.060 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.061 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.061 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.061 * [taylor]: Taking taylor expansion of 1/2 in im 6.061 * [backup-simplify]: Simplify 1/2 into 1/2 6.061 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.062 * [taylor]: Taking taylor expansion of im in im 6.062 * [backup-simplify]: Simplify 0 into 0 6.062 * [backup-simplify]: Simplify 1 into 1 6.062 * [backup-simplify]: Simplify (* 1 1) into 1 6.062 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.064 * [backup-simplify]: Simplify 0 into 0 6.064 * [backup-simplify]: Simplify 0 into 0 6.064 * [backup-simplify]: Simplify 0 into 0 6.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 6.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 6.067 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 6.068 * [backup-simplify]: Simplify (+ 0 0) into 0 6.068 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.068 * [taylor]: Taking taylor expansion of 0 in im 6.068 * [backup-simplify]: Simplify 0 into 0 6.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.070 * [backup-simplify]: Simplify 0 into 0 6.070 * [backup-simplify]: Simplify 0 into 0 6.071 * [backup-simplify]: Simplify 0 into 0 6.071 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.071 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 6.071 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 6.071 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 6.071 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.071 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 6.071 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 6.071 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.071 * [taylor]: Taking taylor expansion of -1 in im 6.071 * [backup-simplify]: Simplify -1 into -1 6.071 * [taylor]: Taking taylor expansion of re in im 6.071 * [backup-simplify]: Simplify re into re 6.071 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 6.071 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.071 * [taylor]: Taking taylor expansion of -1 in im 6.071 * [backup-simplify]: Simplify -1 into -1 6.071 * [taylor]: Taking taylor expansion of re in im 6.071 * [backup-simplify]: Simplify re into re 6.072 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 6.072 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 6.072 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.072 * [taylor]: Taking taylor expansion of -1 in im 6.072 * [backup-simplify]: Simplify -1 into -1 6.072 * [taylor]: Taking taylor expansion of im in im 6.072 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify 1 into 1 6.072 * [backup-simplify]: Simplify (/ -1 1) into -1 6.072 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.072 * [taylor]: Taking taylor expansion of -1 in im 6.072 * [backup-simplify]: Simplify -1 into -1 6.072 * [taylor]: Taking taylor expansion of im in im 6.072 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify 1 into 1 6.073 * [backup-simplify]: Simplify (/ -1 1) into -1 6.073 * [backup-simplify]: Simplify (* -1 -1) into 1 6.074 * [backup-simplify]: Simplify (+ 0 1) into 1 6.074 * [backup-simplify]: Simplify (sqrt 1) into 1 6.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.076 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.077 * [backup-simplify]: Simplify (+ 0 0) into 0 6.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.078 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.078 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.078 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.078 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.078 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.078 * [taylor]: Taking taylor expansion of -1 in re 6.078 * [backup-simplify]: Simplify -1 into -1 6.078 * [taylor]: Taking taylor expansion of re in re 6.078 * [backup-simplify]: Simplify 0 into 0 6.078 * [backup-simplify]: Simplify 1 into 1 6.078 * [backup-simplify]: Simplify (/ -1 1) into -1 6.078 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.078 * [taylor]: Taking taylor expansion of -1 in re 6.079 * [backup-simplify]: Simplify -1 into -1 6.079 * [taylor]: Taking taylor expansion of re in re 6.079 * [backup-simplify]: Simplify 0 into 0 6.079 * [backup-simplify]: Simplify 1 into 1 6.079 * [backup-simplify]: Simplify (/ -1 1) into -1 6.079 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.079 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.079 * [taylor]: Taking taylor expansion of -1 in re 6.079 * [backup-simplify]: Simplify -1 into -1 6.079 * [taylor]: Taking taylor expansion of im in re 6.079 * [backup-simplify]: Simplify im into im 6.079 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.079 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.079 * [taylor]: Taking taylor expansion of -1 in re 6.079 * [backup-simplify]: Simplify -1 into -1 6.079 * [taylor]: Taking taylor expansion of im in re 6.080 * [backup-simplify]: Simplify im into im 6.080 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.080 * [backup-simplify]: Simplify (* -1 -1) into 1 6.080 * [backup-simplify]: Simplify (+ 1 0) into 1 6.081 * [backup-simplify]: Simplify (sqrt 1) into 1 6.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.083 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.084 * [backup-simplify]: Simplify (+ 0 0) into 0 6.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.093 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.093 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.093 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.093 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.093 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.093 * [taylor]: Taking taylor expansion of -1 in re 6.093 * [backup-simplify]: Simplify -1 into -1 6.093 * [taylor]: Taking taylor expansion of re in re 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify 1 into 1 6.094 * [backup-simplify]: Simplify (/ -1 1) into -1 6.094 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.094 * [taylor]: Taking taylor expansion of -1 in re 6.094 * [backup-simplify]: Simplify -1 into -1 6.094 * [taylor]: Taking taylor expansion of re in re 6.094 * [backup-simplify]: Simplify 0 into 0 6.094 * [backup-simplify]: Simplify 1 into 1 6.095 * [backup-simplify]: Simplify (/ -1 1) into -1 6.095 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.095 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.095 * [taylor]: Taking taylor expansion of -1 in re 6.095 * [backup-simplify]: Simplify -1 into -1 6.095 * [taylor]: Taking taylor expansion of im in re 6.095 * [backup-simplify]: Simplify im into im 6.095 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.095 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.095 * [taylor]: Taking taylor expansion of -1 in re 6.095 * [backup-simplify]: Simplify -1 into -1 6.095 * [taylor]: Taking taylor expansion of im in re 6.095 * [backup-simplify]: Simplify im into im 6.095 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.096 * [backup-simplify]: Simplify (* -1 -1) into 1 6.096 * [backup-simplify]: Simplify (+ 1 0) into 1 6.096 * [backup-simplify]: Simplify (sqrt 1) into 1 6.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.099 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.099 * [backup-simplify]: Simplify (+ 0 0) into 0 6.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.100 * [taylor]: Taking taylor expansion of 1 in im 6.100 * [backup-simplify]: Simplify 1 into 1 6.100 * [taylor]: Taking taylor expansion of 0 in im 6.100 * [backup-simplify]: Simplify 0 into 0 6.100 * [backup-simplify]: Simplify 1 into 1 6.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.103 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 6.103 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 6.104 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.105 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.105 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.105 * [taylor]: Taking taylor expansion of 1/2 in im 6.105 * [backup-simplify]: Simplify 1/2 into 1/2 6.105 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.105 * [taylor]: Taking taylor expansion of im in im 6.105 * [backup-simplify]: Simplify 0 into 0 6.105 * [backup-simplify]: Simplify 1 into 1 6.106 * [backup-simplify]: Simplify (* 1 1) into 1 6.106 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.108 * [backup-simplify]: Simplify 0 into 0 6.108 * [backup-simplify]: Simplify 0 into 0 6.108 * [backup-simplify]: Simplify 0 into 0 6.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.111 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 6.111 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 6.111 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 6.111 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 6.112 * [backup-simplify]: Simplify (+ 0 0) into 0 6.112 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.113 * [taylor]: Taking taylor expansion of 0 in im 6.113 * [backup-simplify]: Simplify 0 into 0 6.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.115 * [backup-simplify]: Simplify 0 into 0 6.115 * [backup-simplify]: Simplify 0 into 0 6.115 * [backup-simplify]: Simplify 0 into 0 6.115 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.115 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 6.115 * [backup-simplify]: Simplify (sqrt (+ re (hypot re im))) into (sqrt (+ re (hypot re im))) 6.115 * [approximate]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in (re im) around 0 6.115 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 6.115 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 6.115 * [taylor]: Taking taylor expansion of re in im 6.115 * [backup-simplify]: Simplify re into re 6.115 * [taylor]: Taking taylor expansion of (hypot re im) in im 6.115 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.115 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 6.116 * [taylor]: Taking taylor expansion of (* re re) in im 6.116 * [taylor]: Taking taylor expansion of re in im 6.116 * [backup-simplify]: Simplify re into re 6.116 * [taylor]: Taking taylor expansion of re in im 6.116 * [backup-simplify]: Simplify re into re 6.116 * [taylor]: Taking taylor expansion of (* im im) in im 6.116 * [taylor]: Taking taylor expansion of im in im 6.116 * [backup-simplify]: Simplify 0 into 0 6.116 * [backup-simplify]: Simplify 1 into 1 6.116 * [taylor]: Taking taylor expansion of im in im 6.116 * [backup-simplify]: Simplify 0 into 0 6.116 * [backup-simplify]: Simplify 1 into 1 6.116 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.116 * [backup-simplify]: Simplify (* 0 0) into 0 6.117 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.117 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.117 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.118 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.118 * [backup-simplify]: Simplify (+ 0 0) into 0 6.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.118 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 6.118 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 6.119 * [backup-simplify]: Simplify (+ 0 0) into 0 6.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 6.119 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 6.119 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 6.119 * [taylor]: Taking taylor expansion of re in re 6.119 * [backup-simplify]: Simplify 0 into 0 6.119 * [backup-simplify]: Simplify 1 into 1 6.119 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.119 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.119 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.119 * [taylor]: Taking taylor expansion of (* re re) in re 6.119 * [taylor]: Taking taylor expansion of re in re 6.119 * [backup-simplify]: Simplify 0 into 0 6.119 * [backup-simplify]: Simplify 1 into 1 6.119 * [taylor]: Taking taylor expansion of re in re 6.119 * [backup-simplify]: Simplify 0 into 0 6.119 * [backup-simplify]: Simplify 1 into 1 6.119 * [taylor]: Taking taylor expansion of (* im im) in re 6.119 * [taylor]: Taking taylor expansion of im in re 6.120 * [backup-simplify]: Simplify im into im 6.120 * [taylor]: Taking taylor expansion of im in re 6.120 * [backup-simplify]: Simplify im into im 6.120 * [backup-simplify]: Simplify (* 0 0) into 0 6.120 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.120 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.120 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.121 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.121 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.121 * [backup-simplify]: Simplify (+ 0 0) into 0 6.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.122 * [backup-simplify]: Simplify (+ 0 im) into im 6.122 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 6.122 * [backup-simplify]: Simplify (+ 1 0) into 1 6.122 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 6.122 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 6.122 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 6.122 * [taylor]: Taking taylor expansion of re in re 6.122 * [backup-simplify]: Simplify 0 into 0 6.122 * [backup-simplify]: Simplify 1 into 1 6.122 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.123 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.123 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.123 * [taylor]: Taking taylor expansion of (* re re) in re 6.123 * [taylor]: Taking taylor expansion of re in re 6.123 * [backup-simplify]: Simplify 0 into 0 6.123 * [backup-simplify]: Simplify 1 into 1 6.123 * [taylor]: Taking taylor expansion of re in re 6.123 * [backup-simplify]: Simplify 0 into 0 6.123 * [backup-simplify]: Simplify 1 into 1 6.123 * [taylor]: Taking taylor expansion of (* im im) in re 6.123 * [taylor]: Taking taylor expansion of im in re 6.123 * [backup-simplify]: Simplify im into im 6.123 * [taylor]: Taking taylor expansion of im in re 6.123 * [backup-simplify]: Simplify im into im 6.123 * [backup-simplify]: Simplify (* 0 0) into 0 6.123 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.124 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.124 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.124 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.124 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.125 * [backup-simplify]: Simplify (+ 0 0) into 0 6.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.125 * [backup-simplify]: Simplify (+ 0 im) into im 6.125 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 6.126 * [backup-simplify]: Simplify (+ 1 0) into 1 6.126 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 6.126 * [taylor]: Taking taylor expansion of (sqrt im) in im 6.126 * [taylor]: Taking taylor expansion of im in im 6.126 * [backup-simplify]: Simplify 0 into 0 6.126 * [backup-simplify]: Simplify 1 into 1 6.126 * [backup-simplify]: Simplify (sqrt 0) into 0 6.128 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.128 * [backup-simplify]: Simplify 0 into 0 6.128 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im 6.128 * [taylor]: Taking taylor expansion of 1/2 in im 6.128 * [backup-simplify]: Simplify 1/2 into 1/2 6.128 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 6.128 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.128 * [taylor]: Taking taylor expansion of im in im 6.128 * [backup-simplify]: Simplify 0 into 0 6.128 * [backup-simplify]: Simplify 1 into 1 6.128 * [backup-simplify]: Simplify (/ 1 1) into 1 6.129 * [backup-simplify]: Simplify (sqrt 0) into 0 6.130 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.132 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 6.132 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.132 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.132 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.133 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.133 * [backup-simplify]: Simplify (+ 1 0) into 1 6.133 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.134 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 6.134 * [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)))) 6.134 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im 6.134 * [taylor]: Taking taylor expansion of 1/8 in im 6.134 * [backup-simplify]: Simplify 1/8 into 1/8 6.134 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 6.134 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 6.134 * [taylor]: Taking taylor expansion of (pow im 3) in im 6.134 * [taylor]: Taking taylor expansion of im in im 6.134 * [backup-simplify]: Simplify 0 into 0 6.134 * [backup-simplify]: Simplify 1 into 1 6.134 * [backup-simplify]: Simplify (* 1 1) into 1 6.135 * [backup-simplify]: Simplify (* 1 1) into 1 6.135 * [backup-simplify]: Simplify (/ 1 1) into 1 6.135 * [backup-simplify]: Simplify (sqrt 0) into 0 6.136 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.139 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.140 * [backup-simplify]: Simplify (+ (* 1/8 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 6.140 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.141 * [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)))))) 6.141 * [backup-simplify]: Simplify (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) into (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) 6.141 * [approximate]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in (re im) around 0 6.141 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 6.141 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 6.141 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 6.141 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.141 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 6.141 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 6.141 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.141 * [taylor]: Taking taylor expansion of re in im 6.141 * [backup-simplify]: Simplify re into re 6.141 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.141 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.141 * [taylor]: Taking taylor expansion of re in im 6.141 * [backup-simplify]: Simplify re into re 6.141 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.142 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 6.142 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.142 * [taylor]: Taking taylor expansion of im in im 6.142 * [backup-simplify]: Simplify 0 into 0 6.142 * [backup-simplify]: Simplify 1 into 1 6.142 * [backup-simplify]: Simplify (/ 1 1) into 1 6.142 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.142 * [taylor]: Taking taylor expansion of im in im 6.142 * [backup-simplify]: Simplify 0 into 0 6.142 * [backup-simplify]: Simplify 1 into 1 6.142 * [backup-simplify]: Simplify (/ 1 1) into 1 6.142 * [backup-simplify]: Simplify (* 1 1) into 1 6.143 * [backup-simplify]: Simplify (+ 0 1) into 1 6.143 * [backup-simplify]: Simplify (sqrt 1) into 1 6.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.144 * [backup-simplify]: Simplify (+ 0 0) into 0 6.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.145 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.145 * [taylor]: Taking taylor expansion of re in im 6.145 * [backup-simplify]: Simplify re into re 6.145 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.145 * [backup-simplify]: Simplify (+ 1 0) into 1 6.145 * [backup-simplify]: Simplify (sqrt 0) into 0 6.146 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.146 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 6.146 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 6.146 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.147 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.147 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.147 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.147 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.147 * [taylor]: Taking taylor expansion of re in re 6.147 * [backup-simplify]: Simplify 0 into 0 6.147 * [backup-simplify]: Simplify 1 into 1 6.147 * [backup-simplify]: Simplify (/ 1 1) into 1 6.147 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.147 * [taylor]: Taking taylor expansion of re in re 6.147 * [backup-simplify]: Simplify 0 into 0 6.147 * [backup-simplify]: Simplify 1 into 1 6.147 * [backup-simplify]: Simplify (/ 1 1) into 1 6.147 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.147 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.147 * [taylor]: Taking taylor expansion of im in re 6.147 * [backup-simplify]: Simplify im into im 6.147 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.147 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.147 * [taylor]: Taking taylor expansion of im in re 6.147 * [backup-simplify]: Simplify im into im 6.147 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.148 * [backup-simplify]: Simplify (* 1 1) into 1 6.148 * [backup-simplify]: Simplify (+ 1 0) into 1 6.148 * [backup-simplify]: Simplify (sqrt 1) into 1 6.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.150 * [backup-simplify]: Simplify (+ 0 0) into 0 6.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.150 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.150 * [taylor]: Taking taylor expansion of re in re 6.150 * [backup-simplify]: Simplify 0 into 0 6.150 * [backup-simplify]: Simplify 1 into 1 6.150 * [backup-simplify]: Simplify (/ 1 1) into 1 6.151 * [backup-simplify]: Simplify (+ 1 1) into 2 6.151 * [backup-simplify]: Simplify (sqrt 0) into 0 6.152 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 6.152 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 6.152 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 6.152 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.152 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.152 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.152 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.152 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.152 * [taylor]: Taking taylor expansion of re in re 6.152 * [backup-simplify]: Simplify 0 into 0 6.152 * [backup-simplify]: Simplify 1 into 1 6.152 * [backup-simplify]: Simplify (/ 1 1) into 1 6.152 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.152 * [taylor]: Taking taylor expansion of re in re 6.152 * [backup-simplify]: Simplify 0 into 0 6.152 * [backup-simplify]: Simplify 1 into 1 6.153 * [backup-simplify]: Simplify (/ 1 1) into 1 6.153 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.153 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.153 * [taylor]: Taking taylor expansion of im in re 6.153 * [backup-simplify]: Simplify im into im 6.153 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.153 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.153 * [taylor]: Taking taylor expansion of im in re 6.153 * [backup-simplify]: Simplify im into im 6.153 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.153 * [backup-simplify]: Simplify (* 1 1) into 1 6.153 * [backup-simplify]: Simplify (+ 1 0) into 1 6.154 * [backup-simplify]: Simplify (sqrt 1) into 1 6.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.155 * [backup-simplify]: Simplify (+ 0 0) into 0 6.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.155 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.155 * [taylor]: Taking taylor expansion of re in re 6.155 * [backup-simplify]: Simplify 0 into 0 6.155 * [backup-simplify]: Simplify 1 into 1 6.156 * [backup-simplify]: Simplify (/ 1 1) into 1 6.156 * [backup-simplify]: Simplify (+ 1 1) into 2 6.156 * [backup-simplify]: Simplify (sqrt 0) into 0 6.157 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 6.157 * [taylor]: Taking taylor expansion of 0 in im 6.157 * [backup-simplify]: Simplify 0 into 0 6.157 * [taylor]: Taking taylor expansion of +nan.0 in im 6.157 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.157 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.158 * [backup-simplify]: Simplify (+ 0 0) into 0 6.160 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.160 * [taylor]: Taking taylor expansion of +nan.0 in im 6.160 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.160 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.160 * [backup-simplify]: Simplify 0 into 0 6.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.162 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 6.162 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.163 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.163 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.164 * [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)) 6.164 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 6.164 * [taylor]: Taking taylor expansion of +nan.0 in im 6.165 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.165 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 6.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 6.165 * [taylor]: Taking taylor expansion of 1/2 in im 6.165 * [backup-simplify]: Simplify 1/2 into 1/2 6.165 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.165 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.165 * [taylor]: Taking taylor expansion of im in im 6.165 * [backup-simplify]: Simplify 0 into 0 6.165 * [backup-simplify]: Simplify 1 into 1 6.165 * [backup-simplify]: Simplify (* 1 1) into 1 6.165 * [backup-simplify]: Simplify (/ 1 1) into 1 6.165 * [taylor]: Taking taylor expansion of +nan.0 in im 6.165 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.167 * [backup-simplify]: Simplify (+ 0 0) into 0 6.167 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.167 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 6.168 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 6.168 * [backup-simplify]: Simplify 0 into 0 6.168 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.168 * [backup-simplify]: Simplify 0 into 0 6.168 * [backup-simplify]: Simplify 0 into 0 6.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 6.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 6.171 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 6.171 * [backup-simplify]: Simplify (+ 0 0) into 0 6.172 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.173 * [backup-simplify]: Simplify (+ 0 0) into 0 6.175 * [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))) 6.175 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 6.175 * [taylor]: Taking taylor expansion of +nan.0 in im 6.175 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.175 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 6.175 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 6.175 * [taylor]: Taking taylor expansion of +nan.0 in im 6.175 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.175 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.175 * [taylor]: Taking taylor expansion of im in im 6.175 * [backup-simplify]: Simplify 0 into 0 6.175 * [backup-simplify]: Simplify 1 into 1 6.175 * [backup-simplify]: Simplify (* 1 1) into 1 6.176 * [backup-simplify]: Simplify (/ 1 1) into 1 6.176 * [taylor]: Taking taylor expansion of (- +nan.0) in im 6.176 * [taylor]: Taking taylor expansion of +nan.0 in im 6.176 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.178 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 6.178 * [backup-simplify]: Simplify (+ 0 0) into 0 6.179 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 6.179 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 6.180 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 6.180 * [backup-simplify]: Simplify 0 into 0 6.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.182 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.182 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 6.184 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 6.184 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.184 * [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))))) 6.185 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im))))) into (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) 6.185 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0 6.185 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 6.185 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 6.185 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 6.185 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.185 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 6.185 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 6.185 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.185 * [taylor]: Taking taylor expansion of -1 in im 6.185 * [backup-simplify]: Simplify -1 into -1 6.185 * [taylor]: Taking taylor expansion of re in im 6.185 * [backup-simplify]: Simplify re into re 6.185 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 6.185 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.185 * [taylor]: Taking taylor expansion of -1 in im 6.185 * [backup-simplify]: Simplify -1 into -1 6.185 * [taylor]: Taking taylor expansion of re in im 6.185 * [backup-simplify]: Simplify re into re 6.185 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 6.185 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 6.185 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.185 * [taylor]: Taking taylor expansion of -1 in im 6.185 * [backup-simplify]: Simplify -1 into -1 6.185 * [taylor]: Taking taylor expansion of im in im 6.185 * [backup-simplify]: Simplify 0 into 0 6.185 * [backup-simplify]: Simplify 1 into 1 6.186 * [backup-simplify]: Simplify (/ -1 1) into -1 6.186 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.186 * [taylor]: Taking taylor expansion of -1 in im 6.186 * [backup-simplify]: Simplify -1 into -1 6.186 * [taylor]: Taking taylor expansion of im in im 6.186 * [backup-simplify]: Simplify 0 into 0 6.186 * [backup-simplify]: Simplify 1 into 1 6.186 * [backup-simplify]: Simplify (/ -1 1) into -1 6.186 * [backup-simplify]: Simplify (* -1 -1) into 1 6.186 * [backup-simplify]: Simplify (+ 0 1) into 1 6.187 * [backup-simplify]: Simplify (sqrt 1) into 1 6.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.188 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.188 * [backup-simplify]: Simplify (+ 0 0) into 0 6.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.189 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.189 * [taylor]: Taking taylor expansion of re in im 6.189 * [backup-simplify]: Simplify re into re 6.189 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.189 * [backup-simplify]: Simplify (+ 1 0) into 1 6.189 * [backup-simplify]: Simplify (sqrt 0) into 0 6.190 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.190 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 6.190 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 6.190 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.190 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.190 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.190 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.190 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.190 * [taylor]: Taking taylor expansion of -1 in re 6.190 * [backup-simplify]: Simplify -1 into -1 6.190 * [taylor]: Taking taylor expansion of re in re 6.191 * [backup-simplify]: Simplify 0 into 0 6.191 * [backup-simplify]: Simplify 1 into 1 6.191 * [backup-simplify]: Simplify (/ -1 1) into -1 6.191 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.191 * [taylor]: Taking taylor expansion of -1 in re 6.191 * [backup-simplify]: Simplify -1 into -1 6.191 * [taylor]: Taking taylor expansion of re in re 6.191 * [backup-simplify]: Simplify 0 into 0 6.191 * [backup-simplify]: Simplify 1 into 1 6.191 * [backup-simplify]: Simplify (/ -1 1) into -1 6.191 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.191 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.191 * [taylor]: Taking taylor expansion of -1 in re 6.191 * [backup-simplify]: Simplify -1 into -1 6.191 * [taylor]: Taking taylor expansion of im in re 6.191 * [backup-simplify]: Simplify im into im 6.191 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.191 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.191 * [taylor]: Taking taylor expansion of -1 in re 6.191 * [backup-simplify]: Simplify -1 into -1 6.191 * [taylor]: Taking taylor expansion of im in re 6.191 * [backup-simplify]: Simplify im into im 6.191 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.192 * [backup-simplify]: Simplify (* -1 -1) into 1 6.192 * [backup-simplify]: Simplify (+ 1 0) into 1 6.192 * [backup-simplify]: Simplify (sqrt 1) into 1 6.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.194 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.194 * [backup-simplify]: Simplify (+ 0 0) into 0 6.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.194 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.194 * [taylor]: Taking taylor expansion of re in re 6.194 * [backup-simplify]: Simplify 0 into 0 6.194 * [backup-simplify]: Simplify 1 into 1 6.195 * [backup-simplify]: Simplify (/ 1 1) into 1 6.195 * [backup-simplify]: Simplify (- 1) into -1 6.195 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.196 * [backup-simplify]: Simplify (- 0) into 0 6.196 * [backup-simplify]: Simplify (+ 0 0) into 0 6.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.198 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 6.198 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 6.198 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.199 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.199 * [backup-simplify]: Simplify (- 0) into 0 6.200 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.200 * [backup-simplify]: Simplify (sqrt 0) into 0 6.200 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 6.200 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 6.200 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 6.200 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.200 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.201 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.201 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.201 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.201 * [taylor]: Taking taylor expansion of -1 in re 6.201 * [backup-simplify]: Simplify -1 into -1 6.201 * [taylor]: Taking taylor expansion of re in re 6.201 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify 1 into 1 6.201 * [backup-simplify]: Simplify (/ -1 1) into -1 6.201 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.201 * [taylor]: Taking taylor expansion of -1 in re 6.201 * [backup-simplify]: Simplify -1 into -1 6.201 * [taylor]: Taking taylor expansion of re in re 6.201 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify 1 into 1 6.201 * [backup-simplify]: Simplify (/ -1 1) into -1 6.201 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.201 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.201 * [taylor]: Taking taylor expansion of -1 in re 6.201 * [backup-simplify]: Simplify -1 into -1 6.201 * [taylor]: Taking taylor expansion of im in re 6.201 * [backup-simplify]: Simplify im into im 6.201 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.201 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.201 * [taylor]: Taking taylor expansion of -1 in re 6.201 * [backup-simplify]: Simplify -1 into -1 6.201 * [taylor]: Taking taylor expansion of im in re 6.202 * [backup-simplify]: Simplify im into im 6.202 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.202 * [backup-simplify]: Simplify (* -1 -1) into 1 6.202 * [backup-simplify]: Simplify (+ 1 0) into 1 6.202 * [backup-simplify]: Simplify (sqrt 1) into 1 6.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.204 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.209 * [backup-simplify]: Simplify (+ 0 0) into 0 6.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.210 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.210 * [taylor]: Taking taylor expansion of re in re 6.210 * [backup-simplify]: Simplify 0 into 0 6.210 * [backup-simplify]: Simplify 1 into 1 6.210 * [backup-simplify]: Simplify (/ 1 1) into 1 6.211 * [backup-simplify]: Simplify (- 1) into -1 6.211 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.211 * [backup-simplify]: Simplify (- 0) into 0 6.212 * [backup-simplify]: Simplify (+ 0 0) into 0 6.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.215 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 6.215 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 6.215 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.216 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.217 * [backup-simplify]: Simplify (- 0) into 0 6.218 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.218 * [backup-simplify]: Simplify (sqrt 0) into 0 6.219 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 6.219 * [taylor]: Taking taylor expansion of 0 in im 6.219 * [backup-simplify]: Simplify 0 into 0 6.219 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 6.219 * [taylor]: Taking taylor expansion of +nan.0 in im 6.219 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.219 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.219 * [taylor]: Taking taylor expansion of im in im 6.219 * [backup-simplify]: Simplify 0 into 0 6.219 * [backup-simplify]: Simplify 1 into 1 6.219 * [backup-simplify]: Simplify (* 1 1) into 1 6.220 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 6.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 6.221 * [backup-simplify]: Simplify 0 into 0 6.221 * [backup-simplify]: Simplify 0 into 0 6.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.225 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 6.225 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 6.225 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 6.225 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 6.226 * [backup-simplify]: Simplify (+ 0 0) into 0 6.226 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.228 * [backup-simplify]: Simplify (- 0) into 0 6.228 * [backup-simplify]: Simplify (+ 0 0) into 0 6.229 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 6.229 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 6.229 * [taylor]: Taking taylor expansion of +nan.0 in im 6.229 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.229 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.229 * [taylor]: Taking taylor expansion of im in im 6.229 * [backup-simplify]: Simplify 0 into 0 6.229 * [backup-simplify]: Simplify 1 into 1 6.230 * [backup-simplify]: Simplify (* 1 1) into 1 6.230 * [backup-simplify]: Simplify (* 1 1) into 1 6.231 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 6.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 6.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.238 * [backup-simplify]: Simplify 0 into 0 6.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.240 * [backup-simplify]: Simplify 0 into 0 6.240 * [backup-simplify]: Simplify 0 into 0 6.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.244 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 6.244 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 6.244 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 6.245 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 6.245 * [backup-simplify]: Simplify (+ 0 0) into 0 6.247 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 6.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.248 * [backup-simplify]: Simplify (- 0) into 0 6.248 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 6.249 * [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)))))) 6.250 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) in im 6.250 * [taylor]: Taking taylor expansion of +nan.0 in im 6.250 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.250 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))) in im 6.250 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 6.250 * [taylor]: Taking taylor expansion of 1/8 in im 6.250 * [backup-simplify]: Simplify 1/8 into 1/8 6.250 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 6.250 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.250 * [taylor]: Taking taylor expansion of im in im 6.250 * [backup-simplify]: Simplify 0 into 0 6.250 * [backup-simplify]: Simplify 1 into 1 6.250 * [backup-simplify]: Simplify (* 1 1) into 1 6.251 * [backup-simplify]: Simplify (* 1 1) into 1 6.251 * [backup-simplify]: Simplify (/ 1 1) into 1 6.251 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow im 6)))) in im 6.251 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 6.251 * [taylor]: Taking taylor expansion of +nan.0 in im 6.251 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.251 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 6.251 * [taylor]: Taking taylor expansion of (pow im 6) in im 6.251 * [taylor]: Taking taylor expansion of im in im 6.251 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify 1 into 1 6.252 * [backup-simplify]: Simplify (* 1 1) into 1 6.252 * [backup-simplify]: Simplify (* 1 1) into 1 6.252 * [backup-simplify]: Simplify (* 1 1) into 1 6.253 * [backup-simplify]: Simplify (/ 1 1) into 1 6.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.262 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.282 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.283 * [backup-simplify]: Simplify (- 0) into 0 6.283 * [backup-simplify]: Simplify (+ 0 0) into 0 6.284 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 6.285 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.286 * [backup-simplify]: Simplify (- 0) into 0 6.286 * [backup-simplify]: Simplify (+ 0 0) into 0 6.287 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 6.288 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.288 * [backup-simplify]: Simplify (- 0) into 0 6.289 * [backup-simplify]: Simplify (+ 0 0) into 0 6.289 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 6.290 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 6.290 * [backup-simplify]: Simplify (- 0) into 0 6.291 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8 6.291 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 6.292 * [backup-simplify]: Simplify (- 0) into 0 6.292 * [backup-simplify]: Simplify (+ 0 0) into 0 6.292 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 6.293 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.294 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 6.295 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/8) (+ (* 0 0) (* 0 (- +nan.0))))))) into 0 6.295 * [backup-simplify]: Simplify 0 into 0 6.295 * [backup-simplify]: Simplify 0 into 0 6.296 * * * [progress]: simplifying candidates 6.297 * [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 6.300 * * [simplify]: Extracting # 0 : cost 0 6.300 * * [simplify]: Extracting # 1 : cost 0 6.300 * * [simplify]: Extracting # 2 : cost 0 6.301 * * [simplify]: Extracting # 3 : cost 0 6.301 * * [simplify]: Extracting # 4 : cost 0 6.301 * * [simplify]: Extracting # 5 : cost 0 6.302 * * [simplify]: Extracting # 6 : cost 0 6.302 * * [simplify]: Extracting # 7 : cost 0 6.302 * * [simplify]: Extracting # 8 : cost 0 6.302 * * [simplify]: Extracting # 9 : cost 0 6.303 * * [simplify]: Extracting # 10 : cost 0 6.303 * * [simplify]: Extracting # 11 : cost 0 6.303 * * [simplify]: iteration 0 : 135 enodes (cost 898 ) 6.342 * * [simplify]: Extracting # 0 : cost 0 6.342 * * [simplify]: Extracting # 1 : cost 0 6.342 * * [simplify]: Extracting # 2 : cost 0 6.343 * * [simplify]: Extracting # 3 : cost 0 6.343 * * [simplify]: Extracting # 4 : cost 0 6.343 * * [simplify]: iteration 1 : 298 enodes (cost 819 ) 6.455 * * [simplify]: Extracting # 0 : cost 0 6.456 * * [simplify]: Extracting # 1 : cost 0 6.457 * * [simplify]: Extracting # 2 : cost 0 6.457 * * [simplify]: Extracting # 3 : cost 0 6.458 * * [simplify]: Extracting # 4 : cost 0 6.459 * * [simplify]: iteration 2 : 742 enodes (cost 778 ) 7.127 * * [simplify]: Extracting # 0 : cost 0 7.132 * * [simplify]: Extracting # 1 : cost 0 7.135 * * [simplify]: Extracting # 2 : cost 0 7.139 * * [simplify]: Extracting # 3 : cost 0 7.142 * * [simplify]: Extracting # 4 : cost 0 7.150 * * [simplify]: iteration 3 : 1970 enodes (cost 766 ) 9.961 * * [simplify]: Extracting # 0 : cost 0 9.973 * * [simplify]: Extracting # 1 : cost 0 9.981 * * [simplify]: Extracting # 2 : cost 0 9.989 * * [simplify]: Extracting # 3 : cost 0 9.997 * * [simplify]: Extracting # 4 : cost 0 10.005 * * [simplify]: iteration done: 5000 enodes (cost 764 ) 10.006 * [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 10.007 * * * [progress]: adding candidates to table 10.346 * * [progress]: iteration 3 / 4 10.346 * * * [progress]: picking best candidate 10.364 * * * * [pick]: Picked # 10.364 * * * [progress]: localizing error 10.379 * * * [progress]: generating rewritten candidates 10.379 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 10.385 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 10.428 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 10.519 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2) 10.522 * * * [progress]: generating series expansions 10.522 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 10.523 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ re (hypot re im)) 10.523 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 10.523 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 10.523 * [taylor]: Taking taylor expansion of re in im 10.523 * [backup-simplify]: Simplify re into re 10.523 * [taylor]: Taking taylor expansion of (hypot re im) in im 10.523 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 10.523 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 10.523 * [taylor]: Taking taylor expansion of (* re re) in im 10.523 * [taylor]: Taking taylor expansion of re in im 10.523 * [backup-simplify]: Simplify re into re 10.523 * [taylor]: Taking taylor expansion of re in im 10.523 * [backup-simplify]: Simplify re into re 10.523 * [taylor]: Taking taylor expansion of (* im im) in im 10.523 * [taylor]: Taking taylor expansion of im in im 10.523 * [backup-simplify]: Simplify 0 into 0 10.523 * [backup-simplify]: Simplify 1 into 1 10.523 * [taylor]: Taking taylor expansion of im in im 10.523 * [backup-simplify]: Simplify 0 into 0 10.523 * [backup-simplify]: Simplify 1 into 1 10.523 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.524 * [backup-simplify]: Simplify (* 0 0) into 0 10.524 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 10.524 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.524 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.524 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.525 * [backup-simplify]: Simplify (+ 0 0) into 0 10.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.525 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 10.525 * [taylor]: Taking taylor expansion of re in re 10.525 * [backup-simplify]: Simplify 0 into 0 10.525 * [backup-simplify]: Simplify 1 into 1 10.525 * [taylor]: Taking taylor expansion of (hypot re im) in re 10.525 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 10.525 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 10.525 * [taylor]: Taking taylor expansion of (* re re) in re 10.525 * [taylor]: Taking taylor expansion of re in re 10.525 * [backup-simplify]: Simplify 0 into 0 10.525 * [backup-simplify]: Simplify 1 into 1 10.525 * [taylor]: Taking taylor expansion of re in re 10.525 * [backup-simplify]: Simplify 0 into 0 10.525 * [backup-simplify]: Simplify 1 into 1 10.525 * [taylor]: Taking taylor expansion of (* im im) in re 10.525 * [taylor]: Taking taylor expansion of im in re 10.525 * [backup-simplify]: Simplify im into im 10.525 * [taylor]: Taking taylor expansion of im in re 10.525 * [backup-simplify]: Simplify im into im 10.525 * [backup-simplify]: Simplify (* 0 0) into 0 10.525 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.525 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.525 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.526 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.526 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.526 * [backup-simplify]: Simplify (+ 0 0) into 0 10.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.526 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 10.526 * [taylor]: Taking taylor expansion of re in re 10.526 * [backup-simplify]: Simplify 0 into 0 10.526 * [backup-simplify]: Simplify 1 into 1 10.526 * [taylor]: Taking taylor expansion of (hypot re im) in re 10.526 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 10.526 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 10.527 * [taylor]: Taking taylor expansion of (* re re) in re 10.527 * [taylor]: Taking taylor expansion of re in re 10.527 * [backup-simplify]: Simplify 0 into 0 10.527 * [backup-simplify]: Simplify 1 into 1 10.527 * [taylor]: Taking taylor expansion of re in re 10.527 * [backup-simplify]: Simplify 0 into 0 10.527 * [backup-simplify]: Simplify 1 into 1 10.527 * [taylor]: Taking taylor expansion of (* im im) in re 10.527 * [taylor]: Taking taylor expansion of im in re 10.527 * [backup-simplify]: Simplify im into im 10.527 * [taylor]: Taking taylor expansion of im in re 10.527 * [backup-simplify]: Simplify im into im 10.527 * [backup-simplify]: Simplify (* 0 0) into 0 10.527 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.527 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.527 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.528 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.528 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.528 * [backup-simplify]: Simplify (+ 0 0) into 0 10.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.528 * [backup-simplify]: Simplify (+ 0 im) into im 10.528 * [taylor]: Taking taylor expansion of im in im 10.528 * [backup-simplify]: Simplify 0 into 0 10.528 * [backup-simplify]: Simplify 1 into 1 10.528 * [backup-simplify]: Simplify 0 into 0 10.528 * [backup-simplify]: Simplify (+ 1 0) into 1 10.528 * [taylor]: Taking taylor expansion of 1 in im 10.528 * [backup-simplify]: Simplify 1 into 1 10.528 * [backup-simplify]: Simplify 1 into 1 10.528 * [backup-simplify]: Simplify 1 into 1 10.529 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 10.529 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.529 * [backup-simplify]: Simplify (+ 1 0) into 1 10.530 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.530 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 10.530 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 10.530 * [taylor]: Taking taylor expansion of 1/2 in im 10.530 * [backup-simplify]: Simplify 1/2 into 1/2 10.530 * [taylor]: Taking taylor expansion of (/ 1 im) in im 10.530 * [taylor]: Taking taylor expansion of im in im 10.530 * [backup-simplify]: Simplify 0 into 0 10.530 * [backup-simplify]: Simplify 1 into 1 10.530 * [backup-simplify]: Simplify (/ 1 1) into 1 10.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.531 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.531 * [backup-simplify]: Simplify 0 into 0 10.531 * [backup-simplify]: Simplify 0 into 0 10.531 * [backup-simplify]: Simplify 0 into 0 10.532 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 10.533 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.533 * [backup-simplify]: Simplify (+ 0 0) into 0 10.534 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.534 * [backup-simplify]: Simplify (+ 0 0) into 0 10.534 * [taylor]: Taking taylor expansion of 0 in im 10.534 * [backup-simplify]: Simplify 0 into 0 10.534 * [backup-simplify]: Simplify 0 into 0 10.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.536 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.536 * [backup-simplify]: Simplify 0 into 0 10.536 * [backup-simplify]: Simplify 0 into 0 10.536 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 10.537 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 10.537 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 10.537 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 10.537 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 10.537 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 10.537 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 10.537 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 10.537 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.537 * [taylor]: Taking taylor expansion of re in im 10.537 * [backup-simplify]: Simplify re into re 10.537 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.537 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.537 * [taylor]: Taking taylor expansion of re in im 10.537 * [backup-simplify]: Simplify re into re 10.537 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.537 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 10.537 * [taylor]: Taking taylor expansion of (/ 1 im) in im 10.537 * [taylor]: Taking taylor expansion of im in im 10.537 * [backup-simplify]: Simplify 0 into 0 10.537 * [backup-simplify]: Simplify 1 into 1 10.538 * [backup-simplify]: Simplify (/ 1 1) into 1 10.538 * [taylor]: Taking taylor expansion of (/ 1 im) in im 10.538 * [taylor]: Taking taylor expansion of im in im 10.538 * [backup-simplify]: Simplify 0 into 0 10.538 * [backup-simplify]: Simplify 1 into 1 10.538 * [backup-simplify]: Simplify (/ 1 1) into 1 10.539 * [backup-simplify]: Simplify (* 1 1) into 1 10.539 * [backup-simplify]: Simplify (+ 0 1) into 1 10.540 * [backup-simplify]: Simplify (sqrt 1) into 1 10.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.543 * [backup-simplify]: Simplify (+ 0 0) into 0 10.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.544 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.544 * [taylor]: Taking taylor expansion of re in im 10.544 * [backup-simplify]: Simplify re into re 10.544 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.544 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 10.544 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 10.545 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 10.545 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 10.545 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 10.545 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.545 * [taylor]: Taking taylor expansion of re in re 10.545 * [backup-simplify]: Simplify 0 into 0 10.545 * [backup-simplify]: Simplify 1 into 1 10.545 * [backup-simplify]: Simplify (/ 1 1) into 1 10.545 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.545 * [taylor]: Taking taylor expansion of re in re 10.545 * [backup-simplify]: Simplify 0 into 0 10.545 * [backup-simplify]: Simplify 1 into 1 10.546 * [backup-simplify]: Simplify (/ 1 1) into 1 10.546 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 10.546 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.546 * [taylor]: Taking taylor expansion of im in re 10.546 * [backup-simplify]: Simplify im into im 10.546 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.546 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.546 * [taylor]: Taking taylor expansion of im in re 10.546 * [backup-simplify]: Simplify im into im 10.546 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.546 * [backup-simplify]: Simplify (* 1 1) into 1 10.547 * [backup-simplify]: Simplify (+ 1 0) into 1 10.547 * [backup-simplify]: Simplify (sqrt 1) into 1 10.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.550 * [backup-simplify]: Simplify (+ 0 0) into 0 10.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.550 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.550 * [taylor]: Taking taylor expansion of re in re 10.550 * [backup-simplify]: Simplify 0 into 0 10.550 * [backup-simplify]: Simplify 1 into 1 10.551 * [backup-simplify]: Simplify (/ 1 1) into 1 10.551 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 10.551 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 10.551 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 10.551 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 10.551 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 10.551 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.551 * [taylor]: Taking taylor expansion of re in re 10.551 * [backup-simplify]: Simplify 0 into 0 10.551 * [backup-simplify]: Simplify 1 into 1 10.552 * [backup-simplify]: Simplify (/ 1 1) into 1 10.552 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.552 * [taylor]: Taking taylor expansion of re in re 10.552 * [backup-simplify]: Simplify 0 into 0 10.552 * [backup-simplify]: Simplify 1 into 1 10.552 * [backup-simplify]: Simplify (/ 1 1) into 1 10.552 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 10.552 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.552 * [taylor]: Taking taylor expansion of im in re 10.552 * [backup-simplify]: Simplify im into im 10.552 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.552 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.552 * [taylor]: Taking taylor expansion of im in re 10.552 * [backup-simplify]: Simplify im into im 10.552 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.553 * [backup-simplify]: Simplify (* 1 1) into 1 10.553 * [backup-simplify]: Simplify (+ 1 0) into 1 10.554 * [backup-simplify]: Simplify (sqrt 1) into 1 10.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.556 * [backup-simplify]: Simplify (+ 0 0) into 0 10.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.557 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.557 * [taylor]: Taking taylor expansion of re in re 10.557 * [backup-simplify]: Simplify 0 into 0 10.557 * [backup-simplify]: Simplify 1 into 1 10.557 * [backup-simplify]: Simplify (/ 1 1) into 1 10.558 * [backup-simplify]: Simplify (+ 1 1) into 2 10.558 * [taylor]: Taking taylor expansion of 2 in im 10.558 * [backup-simplify]: Simplify 2 into 2 10.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.559 * [backup-simplify]: Simplify (+ 0 0) into 0 10.559 * [taylor]: Taking taylor expansion of 0 in im 10.559 * [backup-simplify]: Simplify 0 into 0 10.559 * [backup-simplify]: Simplify 2 into 2 10.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.562 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 10.562 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.564 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.565 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 10.565 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 10.565 * [taylor]: Taking taylor expansion of 1/2 in im 10.565 * [backup-simplify]: Simplify 1/2 into 1/2 10.565 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.565 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.565 * [taylor]: Taking taylor expansion of im in im 10.565 * [backup-simplify]: Simplify 0 into 0 10.565 * [backup-simplify]: Simplify 1 into 1 10.565 * [backup-simplify]: Simplify (* 1 1) into 1 10.566 * [backup-simplify]: Simplify (/ 1 1) into 1 10.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.568 * [backup-simplify]: Simplify 0 into 0 10.568 * [backup-simplify]: Simplify 0 into 0 10.568 * [backup-simplify]: Simplify 0 into 0 10.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 10.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 10.572 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 10.572 * [backup-simplify]: Simplify (+ 0 0) into 0 10.573 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.574 * [backup-simplify]: Simplify (+ 0 0) into 0 10.574 * [taylor]: Taking taylor expansion of 0 in im 10.574 * [backup-simplify]: Simplify 0 into 0 10.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.577 * [backup-simplify]: Simplify 0 into 0 10.577 * [backup-simplify]: Simplify 0 into 0 10.577 * [backup-simplify]: Simplify 0 into 0 10.577 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 10.577 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 10.577 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 10.578 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 10.578 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 10.578 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 10.578 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 10.578 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 10.578 * [taylor]: Taking taylor expansion of (/ -1 re) in im 10.578 * [taylor]: Taking taylor expansion of -1 in im 10.578 * [backup-simplify]: Simplify -1 into -1 10.578 * [taylor]: Taking taylor expansion of re in im 10.578 * [backup-simplify]: Simplify re into re 10.578 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 10.578 * [taylor]: Taking taylor expansion of (/ -1 re) in im 10.578 * [taylor]: Taking taylor expansion of -1 in im 10.578 * [backup-simplify]: Simplify -1 into -1 10.578 * [taylor]: Taking taylor expansion of re in im 10.578 * [backup-simplify]: Simplify re into re 10.578 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 10.578 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 10.578 * [taylor]: Taking taylor expansion of (/ -1 im) in im 10.578 * [taylor]: Taking taylor expansion of -1 in im 10.578 * [backup-simplify]: Simplify -1 into -1 10.579 * [taylor]: Taking taylor expansion of im in im 10.579 * [backup-simplify]: Simplify 0 into 0 10.579 * [backup-simplify]: Simplify 1 into 1 10.579 * [backup-simplify]: Simplify (/ -1 1) into -1 10.579 * [taylor]: Taking taylor expansion of (/ -1 im) in im 10.579 * [taylor]: Taking taylor expansion of -1 in im 10.579 * [backup-simplify]: Simplify -1 into -1 10.579 * [taylor]: Taking taylor expansion of im in im 10.579 * [backup-simplify]: Simplify 0 into 0 10.579 * [backup-simplify]: Simplify 1 into 1 10.580 * [backup-simplify]: Simplify (/ -1 1) into -1 10.580 * [backup-simplify]: Simplify (* -1 -1) into 1 10.580 * [backup-simplify]: Simplify (+ 0 1) into 1 10.581 * [backup-simplify]: Simplify (sqrt 1) into 1 10.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.583 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.584 * [backup-simplify]: Simplify (+ 0 0) into 0 10.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.584 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.584 * [taylor]: Taking taylor expansion of re in im 10.585 * [backup-simplify]: Simplify re into re 10.585 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.585 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 10.585 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 10.585 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 10.585 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 10.585 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 10.585 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.585 * [taylor]: Taking taylor expansion of -1 in re 10.585 * [backup-simplify]: Simplify -1 into -1 10.585 * [taylor]: Taking taylor expansion of re in re 10.585 * [backup-simplify]: Simplify 0 into 0 10.585 * [backup-simplify]: Simplify 1 into 1 10.586 * [backup-simplify]: Simplify (/ -1 1) into -1 10.586 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.586 * [taylor]: Taking taylor expansion of -1 in re 10.586 * [backup-simplify]: Simplify -1 into -1 10.586 * [taylor]: Taking taylor expansion of re in re 10.586 * [backup-simplify]: Simplify 0 into 0 10.586 * [backup-simplify]: Simplify 1 into 1 10.586 * [backup-simplify]: Simplify (/ -1 1) into -1 10.586 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 10.586 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.586 * [taylor]: Taking taylor expansion of -1 in re 10.586 * [backup-simplify]: Simplify -1 into -1 10.586 * [taylor]: Taking taylor expansion of im in re 10.586 * [backup-simplify]: Simplify im into im 10.586 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.586 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.586 * [taylor]: Taking taylor expansion of -1 in re 10.586 * [backup-simplify]: Simplify -1 into -1 10.586 * [taylor]: Taking taylor expansion of im in re 10.587 * [backup-simplify]: Simplify im into im 10.587 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.587 * [backup-simplify]: Simplify (* -1 -1) into 1 10.587 * [backup-simplify]: Simplify (+ 1 0) into 1 10.588 * [backup-simplify]: Simplify (sqrt 1) into 1 10.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.590 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.590 * [backup-simplify]: Simplify (+ 0 0) into 0 10.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.591 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.591 * [taylor]: Taking taylor expansion of re in re 10.591 * [backup-simplify]: Simplify 0 into 0 10.591 * [backup-simplify]: Simplify 1 into 1 10.592 * [backup-simplify]: Simplify (/ 1 1) into 1 10.592 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 10.592 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 10.592 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 10.592 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 10.592 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 10.592 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.592 * [taylor]: Taking taylor expansion of -1 in re 10.592 * [backup-simplify]: Simplify -1 into -1 10.592 * [taylor]: Taking taylor expansion of re in re 10.592 * [backup-simplify]: Simplify 0 into 0 10.592 * [backup-simplify]: Simplify 1 into 1 10.593 * [backup-simplify]: Simplify (/ -1 1) into -1 10.593 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.593 * [taylor]: Taking taylor expansion of -1 in re 10.593 * [backup-simplify]: Simplify -1 into -1 10.593 * [taylor]: Taking taylor expansion of re in re 10.593 * [backup-simplify]: Simplify 0 into 0 10.593 * [backup-simplify]: Simplify 1 into 1 10.593 * [backup-simplify]: Simplify (/ -1 1) into -1 10.593 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 10.593 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.593 * [taylor]: Taking taylor expansion of -1 in re 10.593 * [backup-simplify]: Simplify -1 into -1 10.593 * [taylor]: Taking taylor expansion of im in re 10.593 * [backup-simplify]: Simplify im into im 10.594 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.594 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.594 * [taylor]: Taking taylor expansion of -1 in re 10.594 * [backup-simplify]: Simplify -1 into -1 10.594 * [taylor]: Taking taylor expansion of im in re 10.594 * [backup-simplify]: Simplify im into im 10.594 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.594 * [backup-simplify]: Simplify (* -1 -1) into 1 10.595 * [backup-simplify]: Simplify (+ 1 0) into 1 10.595 * [backup-simplify]: Simplify (sqrt 1) into 1 10.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.597 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.604 * [backup-simplify]: Simplify (+ 0 0) into 0 10.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.605 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.605 * [taylor]: Taking taylor expansion of re in re 10.605 * [backup-simplify]: Simplify 0 into 0 10.605 * [backup-simplify]: Simplify 1 into 1 10.606 * [backup-simplify]: Simplify (/ 1 1) into 1 10.606 * [backup-simplify]: Simplify (- 1) into -1 10.607 * [backup-simplify]: Simplify (+ 1 -1) into 0 10.607 * [taylor]: Taking taylor expansion of 0 in im 10.607 * [backup-simplify]: Simplify 0 into 0 10.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.608 * [backup-simplify]: Simplify (- 0) into 0 10.608 * [backup-simplify]: Simplify (+ 0 0) into 0 10.608 * [taylor]: Taking taylor expansion of 0 in im 10.608 * [backup-simplify]: Simplify 0 into 0 10.608 * [backup-simplify]: Simplify 0 into 0 10.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.611 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 10.611 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 10.611 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.612 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.613 * [backup-simplify]: Simplify (- 0) into 0 10.613 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 10.613 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 10.613 * [taylor]: Taking taylor expansion of 1/2 in im 10.613 * [backup-simplify]: Simplify 1/2 into 1/2 10.613 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.613 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.613 * [taylor]: Taking taylor expansion of im in im 10.613 * [backup-simplify]: Simplify 0 into 0 10.613 * [backup-simplify]: Simplify 1 into 1 10.614 * [backup-simplify]: Simplify (* 1 1) into 1 10.614 * [backup-simplify]: Simplify (/ 1 1) into 1 10.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.615 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.615 * [backup-simplify]: Simplify 0 into 0 10.615 * [backup-simplify]: Simplify 0 into 0 10.615 * [backup-simplify]: Simplify 0 into 0 10.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.617 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 10.617 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 10.617 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 10.618 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 10.618 * [backup-simplify]: Simplify (+ 0 0) into 0 10.618 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.619 * [backup-simplify]: Simplify (- 0) into 0 10.619 * [backup-simplify]: Simplify (+ 0 0) into 0 10.619 * [taylor]: Taking taylor expansion of 0 in im 10.619 * [backup-simplify]: Simplify 0 into 0 10.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.621 * [backup-simplify]: Simplify 0 into 0 10.621 * [backup-simplify]: Simplify 0 into 0 10.621 * [backup-simplify]: Simplify 0 into 0 10.621 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 10.622 * [backup-simplify]: Simplify (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) into (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) 10.622 * [approximate]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in (re im) around 0 10.622 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in im 10.622 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in im 10.622 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 10.622 * [taylor]: Taking taylor expansion of re in im 10.622 * [backup-simplify]: Simplify re into re 10.622 * [taylor]: Taking taylor expansion of (hypot re im) in im 10.622 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 10.622 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 10.622 * [taylor]: Taking taylor expansion of (* re re) in im 10.622 * [taylor]: Taking taylor expansion of re in im 10.622 * [backup-simplify]: Simplify re into re 10.622 * [taylor]: Taking taylor expansion of re in im 10.622 * [backup-simplify]: Simplify re into re 10.622 * [taylor]: Taking taylor expansion of (* im im) in im 10.622 * [taylor]: Taking taylor expansion of im in im 10.622 * [backup-simplify]: Simplify 0 into 0 10.622 * [backup-simplify]: Simplify 1 into 1 10.622 * [taylor]: Taking taylor expansion of im in im 10.622 * [backup-simplify]: Simplify 0 into 0 10.622 * [backup-simplify]: Simplify 1 into 1 10.622 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.623 * [backup-simplify]: Simplify (* 0 0) into 0 10.623 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 10.623 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.623 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.623 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.623 * [backup-simplify]: Simplify (+ 0 0) into 0 10.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.624 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.624 * [taylor]: Taking taylor expansion of 2.0 in im 10.624 * [backup-simplify]: Simplify 2.0 into 2.0 10.624 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.624 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 10.625 * [backup-simplify]: Simplify (* (* 2 re) (sqrt 2.0)) into (* 2 (* re (sqrt 2.0))) 10.625 * [backup-simplify]: Simplify (sqrt (* 2 (* re (sqrt 2.0)))) into (* (sqrt (* re (sqrt 2.0))) (sqrt 2)) 10.625 * [backup-simplify]: Simplify (+ 0 0) into 0 10.626 * [backup-simplify]: Simplify (+ (* (* 2 re) 0) (* 0 (sqrt 2.0))) into 0 10.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (* re (sqrt 2.0)))))) into 0 10.626 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in re 10.626 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in re 10.626 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 10.626 * [taylor]: Taking taylor expansion of re in re 10.626 * [backup-simplify]: Simplify 0 into 0 10.626 * [backup-simplify]: Simplify 1 into 1 10.626 * [taylor]: Taking taylor expansion of (hypot re im) in re 10.626 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 10.626 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 10.626 * [taylor]: Taking taylor expansion of (* re re) in re 10.626 * [taylor]: Taking taylor expansion of re in re 10.626 * [backup-simplify]: Simplify 0 into 0 10.626 * [backup-simplify]: Simplify 1 into 1 10.626 * [taylor]: Taking taylor expansion of re in re 10.626 * [backup-simplify]: Simplify 0 into 0 10.626 * [backup-simplify]: Simplify 1 into 1 10.626 * [taylor]: Taking taylor expansion of (* im im) in re 10.626 * [taylor]: Taking taylor expansion of im in re 10.626 * [backup-simplify]: Simplify im into im 10.626 * [taylor]: Taking taylor expansion of im in re 10.626 * [backup-simplify]: Simplify im into im 10.627 * [backup-simplify]: Simplify (* 0 0) into 0 10.627 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.627 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.627 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.627 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.627 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.628 * [backup-simplify]: Simplify (+ 0 0) into 0 10.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.628 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.628 * [taylor]: Taking taylor expansion of 2.0 in re 10.628 * [backup-simplify]: Simplify 2.0 into 2.0 10.628 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.629 * [backup-simplify]: Simplify (+ 0 im) into im 10.629 * [backup-simplify]: Simplify (* im (sqrt 2.0)) into (* (sqrt 2.0) im) 10.629 * [backup-simplify]: Simplify (sqrt (* (sqrt 2.0) im)) into (sqrt (* (sqrt 2.0) im)) 10.629 * [backup-simplify]: Simplify (+ 1 0) into 1 10.630 * [backup-simplify]: Simplify (+ (* im 0) (* 1 (sqrt 2.0))) into (sqrt 2.0) 10.631 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt (* (sqrt 2.0) im)))) into (* 1/2 (sqrt (/ (sqrt 2.0) im))) 10.631 * [taylor]: Taking taylor expansion of (sqrt (* (+ re (hypot re im)) (sqrt 2.0))) in re 10.631 * [taylor]: Taking taylor expansion of (* (+ re (hypot re im)) (sqrt 2.0)) in re 10.631 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 10.631 * [taylor]: Taking taylor expansion of re in re 10.631 * [backup-simplify]: Simplify 0 into 0 10.631 * [backup-simplify]: Simplify 1 into 1 10.631 * [taylor]: Taking taylor expansion of (hypot re im) in re 10.631 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 10.631 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 10.631 * [taylor]: Taking taylor expansion of (* re re) in re 10.631 * [taylor]: Taking taylor expansion of re in re 10.631 * [backup-simplify]: Simplify 0 into 0 10.631 * [backup-simplify]: Simplify 1 into 1 10.631 * [taylor]: Taking taylor expansion of re in re 10.631 * [backup-simplify]: Simplify 0 into 0 10.631 * [backup-simplify]: Simplify 1 into 1 10.631 * [taylor]: Taking taylor expansion of (* im im) in re 10.631 * [taylor]: Taking taylor expansion of im in re 10.631 * [backup-simplify]: Simplify im into im 10.631 * [taylor]: Taking taylor expansion of im in re 10.631 * [backup-simplify]: Simplify im into im 10.631 * [backup-simplify]: Simplify (* 0 0) into 0 10.631 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.631 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.631 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.632 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.632 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.632 * [backup-simplify]: Simplify (+ 0 0) into 0 10.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.632 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.632 * [taylor]: Taking taylor expansion of 2.0 in re 10.632 * [backup-simplify]: Simplify 2.0 into 2.0 10.633 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.633 * [backup-simplify]: Simplify (+ 0 im) into im 10.633 * [backup-simplify]: Simplify (* im (sqrt 2.0)) into (* (sqrt 2.0) im) 10.634 * [backup-simplify]: Simplify (sqrt (* (sqrt 2.0) im)) into (sqrt (* (sqrt 2.0) im)) 10.634 * [backup-simplify]: Simplify (+ 1 0) into 1 10.634 * [backup-simplify]: Simplify (+ (* im 0) (* 1 (sqrt 2.0))) into (sqrt 2.0) 10.635 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt (* (sqrt 2.0) im)))) into (* 1/2 (sqrt (/ (sqrt 2.0) im))) 10.635 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) im)) in im 10.635 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 10.635 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.635 * [taylor]: Taking taylor expansion of 2.0 in im 10.635 * [backup-simplify]: Simplify 2.0 into 2.0 10.635 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.636 * [taylor]: Taking taylor expansion of im in im 10.636 * [backup-simplify]: Simplify 0 into 0 10.636 * [backup-simplify]: Simplify 1 into 1 10.636 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 10.638 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 10.638 * [backup-simplify]: Simplify (sqrt 0) into 0 10.639 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0)) 10.639 * [backup-simplify]: Simplify 0 into 0 10.639 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ (sqrt 2.0) im))) in im 10.639 * [taylor]: Taking taylor expansion of 1/2 in im 10.639 * [backup-simplify]: Simplify 1/2 into 1/2 10.639 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) im)) in im 10.639 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 10.639 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.639 * [taylor]: Taking taylor expansion of 2.0 in im 10.639 * [backup-simplify]: Simplify 2.0 into 2.0 10.640 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.640 * [taylor]: Taking taylor expansion of im in im 10.640 * [backup-simplify]: Simplify 0 into 0 10.640 * [backup-simplify]: Simplify 1 into 1 10.641 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.641 * [backup-simplify]: Simplify (sqrt 0) into 0 10.642 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0)) 10.645 * [backup-simplify]: Simplify (+ (* 1/2 (* +nan.0 (sqrt 2.0))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 10.646 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.646 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 10.647 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.648 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 10.648 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.648 * [backup-simplify]: Simplify (+ 1 0) into 1 10.649 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.649 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 10.649 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 1 0) (* (* 1/2 (/ 1 im)) (sqrt 2.0)))) into (* 1/2 (/ (sqrt 2.0) im)) 10.651 * [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)))) 10.651 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ (sqrt 2.0) (pow im 3)))) in im 10.651 * [taylor]: Taking taylor expansion of 1/8 in im 10.651 * [backup-simplify]: Simplify 1/8 into 1/8 10.651 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) (pow im 3))) in im 10.651 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 3)) in im 10.651 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.651 * [taylor]: Taking taylor expansion of 2.0 in im 10.651 * [backup-simplify]: Simplify 2.0 into 2.0 10.651 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.652 * [taylor]: Taking taylor expansion of (pow im 3) in im 10.652 * [taylor]: Taking taylor expansion of im in im 10.652 * [backup-simplify]: Simplify 0 into 0 10.652 * [backup-simplify]: Simplify 1 into 1 10.652 * [backup-simplify]: Simplify (* 1 1) into 1 10.653 * [backup-simplify]: Simplify (* 1 1) into 1 10.654 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.654 * [backup-simplify]: Simplify (sqrt 0) into 0 10.656 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0)) 10.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 10.663 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (sqrt 2.0)) 2) (+)) (* 2 0)) into (* +nan.0 (pow (sqrt 2.0) 2)) 10.669 * [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))) 10.672 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 2))) into (- (* +nan.0 (pow (sqrt 2.0) 2))) 10.678 * [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))))))) 10.679 * [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))) 10.680 * [approximate]: Taking taylor expansion of (sqrt (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in (re im) around 0 10.680 * [taylor]: Taking taylor expansion of (sqrt (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in im 10.680 * [taylor]: Taking taylor expansion of (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0)) in im 10.680 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 10.680 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 10.680 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 10.680 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 10.680 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 10.680 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.680 * [taylor]: Taking taylor expansion of re in im 10.680 * [backup-simplify]: Simplify re into re 10.680 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.680 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.680 * [taylor]: Taking taylor expansion of re in im 10.680 * [backup-simplify]: Simplify re into re 10.680 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.680 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 10.680 * [taylor]: Taking taylor expansion of (/ 1 im) in im 10.680 * [taylor]: Taking taylor expansion of im in im 10.680 * [backup-simplify]: Simplify 0 into 0 10.680 * [backup-simplify]: Simplify 1 into 1 10.681 * [backup-simplify]: Simplify (/ 1 1) into 1 10.681 * [taylor]: Taking taylor expansion of (/ 1 im) in im 10.681 * [taylor]: Taking taylor expansion of im in im 10.681 * [backup-simplify]: Simplify 0 into 0 10.681 * [backup-simplify]: Simplify 1 into 1 10.681 * [backup-simplify]: Simplify (/ 1 1) into 1 10.682 * [backup-simplify]: Simplify (* 1 1) into 1 10.682 * [backup-simplify]: Simplify (+ 0 1) into 1 10.683 * [backup-simplify]: Simplify (sqrt 1) into 1 10.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.685 * [backup-simplify]: Simplify (+ 0 0) into 0 10.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.686 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.686 * [taylor]: Taking taylor expansion of re in im 10.686 * [backup-simplify]: Simplify re into re 10.686 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.686 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.686 * [taylor]: Taking taylor expansion of 2.0 in im 10.686 * [backup-simplify]: Simplify 2.0 into 2.0 10.686 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.688 * [backup-simplify]: Simplify (+ 1 0) into 1 10.689 * [backup-simplify]: Simplify (* 1 (sqrt 2.0)) into (sqrt 2.0) 10.689 * [backup-simplify]: Simplify (sqrt 0) into 0 10.691 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0)) 10.691 * [taylor]: Taking taylor expansion of (sqrt (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in re 10.691 * [taylor]: Taking taylor expansion of (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0)) in re 10.691 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 10.691 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 10.691 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 10.691 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 10.691 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 10.691 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.691 * [taylor]: Taking taylor expansion of re in re 10.691 * [backup-simplify]: Simplify 0 into 0 10.691 * [backup-simplify]: Simplify 1 into 1 10.692 * [backup-simplify]: Simplify (/ 1 1) into 1 10.692 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.692 * [taylor]: Taking taylor expansion of re in re 10.692 * [backup-simplify]: Simplify 0 into 0 10.692 * [backup-simplify]: Simplify 1 into 1 10.692 * [backup-simplify]: Simplify (/ 1 1) into 1 10.692 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 10.692 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.692 * [taylor]: Taking taylor expansion of im in re 10.692 * [backup-simplify]: Simplify im into im 10.693 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.693 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.693 * [taylor]: Taking taylor expansion of im in re 10.693 * [backup-simplify]: Simplify im into im 10.693 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.693 * [backup-simplify]: Simplify (* 1 1) into 1 10.693 * [backup-simplify]: Simplify (+ 1 0) into 1 10.694 * [backup-simplify]: Simplify (sqrt 1) into 1 10.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.696 * [backup-simplify]: Simplify (+ 0 0) into 0 10.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.697 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.697 * [taylor]: Taking taylor expansion of re in re 10.697 * [backup-simplify]: Simplify 0 into 0 10.697 * [backup-simplify]: Simplify 1 into 1 10.698 * [backup-simplify]: Simplify (/ 1 1) into 1 10.698 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.698 * [taylor]: Taking taylor expansion of 2.0 in re 10.698 * [backup-simplify]: Simplify 2.0 into 2.0 10.698 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.699 * [backup-simplify]: Simplify (+ 1 1) into 2 10.700 * [backup-simplify]: Simplify (* 2 (sqrt 2.0)) into (* 2 (sqrt 2.0)) 10.701 * [backup-simplify]: Simplify (sqrt 0) into 0 10.703 * [backup-simplify]: Simplify (/ (* 2 (sqrt 2.0)) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0)) 10.703 * [taylor]: Taking taylor expansion of (sqrt (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0))) in re 10.703 * [taylor]: Taking taylor expansion of (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) (sqrt 2.0)) in re 10.703 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 10.703 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 10.703 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 10.703 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 10.704 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 10.704 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.704 * [taylor]: Taking taylor expansion of re in re 10.704 * [backup-simplify]: Simplify 0 into 0 10.704 * [backup-simplify]: Simplify 1 into 1 10.704 * [backup-simplify]: Simplify (/ 1 1) into 1 10.704 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.704 * [taylor]: Taking taylor expansion of re in re 10.704 * [backup-simplify]: Simplify 0 into 0 10.704 * [backup-simplify]: Simplify 1 into 1 10.704 * [backup-simplify]: Simplify (/ 1 1) into 1 10.705 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 10.705 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.705 * [taylor]: Taking taylor expansion of im in re 10.705 * [backup-simplify]: Simplify im into im 10.705 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.705 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.705 * [taylor]: Taking taylor expansion of im in re 10.705 * [backup-simplify]: Simplify im into im 10.705 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.705 * [backup-simplify]: Simplify (* 1 1) into 1 10.706 * [backup-simplify]: Simplify (+ 1 0) into 1 10.706 * [backup-simplify]: Simplify (sqrt 1) into 1 10.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.709 * [backup-simplify]: Simplify (+ 0 0) into 0 10.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.709 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.709 * [taylor]: Taking taylor expansion of re in re 10.709 * [backup-simplify]: Simplify 0 into 0 10.709 * [backup-simplify]: Simplify 1 into 1 10.710 * [backup-simplify]: Simplify (/ 1 1) into 1 10.710 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.710 * [taylor]: Taking taylor expansion of 2.0 in re 10.710 * [backup-simplify]: Simplify 2.0 into 2.0 10.710 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.711 * [backup-simplify]: Simplify (+ 1 1) into 2 10.712 * [backup-simplify]: Simplify (* 2 (sqrt 2.0)) into (* 2 (sqrt 2.0)) 10.713 * [backup-simplify]: Simplify (sqrt 0) into 0 10.715 * [backup-simplify]: Simplify (/ (* 2 (sqrt 2.0)) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0)) 10.715 * [taylor]: Taking taylor expansion of 0 in im 10.716 * [backup-simplify]: Simplify 0 into 0 10.716 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 10.716 * [taylor]: Taking taylor expansion of +nan.0 in im 10.716 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.716 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.716 * [taylor]: Taking taylor expansion of 2.0 in im 10.716 * [backup-simplify]: Simplify 2.0 into 2.0 10.716 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.717 * [backup-simplify]: Simplify 0 into 0 10.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.718 * [backup-simplify]: Simplify (+ 0 0) into 0 10.719 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (sqrt 2.0))) into 0 10.722 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (sqrt 2.0)) 2) (+)) (* 2 0)) into (* +nan.0 (pow (sqrt 2.0) 2)) 10.722 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 2)) in im 10.722 * [taylor]: Taking taylor expansion of +nan.0 in im 10.722 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.722 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 10.722 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.722 * [taylor]: Taking taylor expansion of 2.0 in im 10.722 * [backup-simplify]: Simplify 2.0 into 2.0 10.723 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.724 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 10.724 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 10.724 * [backup-simplify]: Simplify 0 into 0 10.725 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.733 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 10.733 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.734 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.735 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 10.736 * [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))) 10.740 * [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)))) 10.740 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3)))) in im 10.741 * [taylor]: Taking taylor expansion of +nan.0 in im 10.741 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.741 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3))) in im 10.741 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) (pow im 2))) in im 10.741 * [taylor]: Taking taylor expansion of 1/2 in im 10.741 * [backup-simplify]: Simplify 1/2 into 1/2 10.741 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 10.741 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.741 * [taylor]: Taking taylor expansion of 2.0 in im 10.741 * [backup-simplify]: Simplify 2.0 into 2.0 10.741 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.741 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.741 * [taylor]: Taking taylor expansion of im in im 10.741 * [backup-simplify]: Simplify 0 into 0 10.741 * [backup-simplify]: Simplify 1 into 1 10.742 * [backup-simplify]: Simplify (* 1 1) into 1 10.742 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.742 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 3)) in im 10.742 * [taylor]: Taking taylor expansion of +nan.0 in im 10.742 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.742 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 10.742 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.742 * [taylor]: Taking taylor expansion of 2.0 in im 10.742 * [backup-simplify]: Simplify 2.0 into 2.0 10.743 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 10.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 2.0))) into 0 10.745 * [backup-simplify]: Simplify (+ 0 0) into 0 10.746 * [backup-simplify]: Simplify (* 1/2 (sqrt 2.0)) into (* 1/2 (sqrt 2.0)) 10.747 * [backup-simplify]: Simplify (+ (* 1/2 (sqrt 2.0)) 0) into (* 1/2 (sqrt 2.0)) 10.747 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* 1/2 (sqrt 2.0)))) into 0 10.747 * [backup-simplify]: Simplify 0 into 0 10.748 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2) 10.749 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 2)) into (* +nan.0 (pow (sqrt 2.0) 2)) 10.750 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 2)) into (* +nan.0 (pow (sqrt 2.0) 2)) 10.751 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 10.751 * [backup-simplify]: Simplify 0 into 0 10.751 * [backup-simplify]: Simplify 0 into 0 10.752 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 10.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 10.756 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 10.756 * [backup-simplify]: Simplify (+ 0 0) into 0 10.757 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.758 * [backup-simplify]: Simplify (+ 0 0) into 0 10.760 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* (* 1/2 (/ 1 (pow im 2))) 0) (* 0 (sqrt 2.0))))) into 0 10.768 * [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))))) 10.768 * [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 10.768 * [taylor]: Taking taylor expansion of +nan.0 in im 10.768 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.768 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 4)))) in im 10.768 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) in im 10.768 * [taylor]: Taking taylor expansion of +nan.0 in im 10.768 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.768 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 2)) in im 10.768 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 10.768 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.768 * [taylor]: Taking taylor expansion of 2.0 in im 10.768 * [backup-simplify]: Simplify 2.0 into 2.0 10.768 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.769 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.769 * [taylor]: Taking taylor expansion of im in im 10.769 * [backup-simplify]: Simplify 0 into 0 10.769 * [backup-simplify]: Simplify 1 into 1 10.770 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2) 10.770 * [backup-simplify]: Simplify (* 1 1) into 1 10.771 * [backup-simplify]: Simplify (/ (pow (sqrt 2.0) 2) 1) into (pow (sqrt 2.0) 2) 10.771 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (sqrt 2.0) 4))) in im 10.771 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 4)) in im 10.771 * [taylor]: Taking taylor expansion of +nan.0 in im 10.771 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.771 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 4) in im 10.771 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.771 * [taylor]: Taking taylor expansion of 2.0 in im 10.771 * [backup-simplify]: Simplify 2.0 into 2.0 10.771 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.772 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0 10.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 2) (/ 0 1)))) into 0 10.774 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (sqrt 2.0) 2))) into 0 10.774 * [backup-simplify]: Simplify (+ 0 0) into 0 10.775 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 2)) into (* +nan.0 (pow (sqrt 2.0) 2)) 10.777 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (sqrt 2.0) 2)) 0) into (- (* +nan.0 (pow (sqrt 2.0) 2))) 10.778 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- (* +nan.0 (pow (sqrt 2.0) 2))))) into 0 10.778 * [backup-simplify]: Simplify 0 into 0 10.779 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.781 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 10.782 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2) 10.783 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3) 10.784 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 3)) into (* +nan.0 (pow (sqrt 2.0) 3)) 10.785 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 10.788 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (pow (sqrt 2.0) 3)))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 10.792 * [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))) 10.793 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 10.797 * [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))))))) 10.798 * [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)))) 10.798 * [approximate]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 10.798 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 10.798 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 10.798 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.798 * [taylor]: Taking taylor expansion of 2.0 in im 10.798 * [backup-simplify]: Simplify 2.0 into 2.0 10.798 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.799 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 10.799 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 10.799 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 10.799 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 10.799 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 10.799 * [taylor]: Taking taylor expansion of (/ -1 re) in im 10.799 * [taylor]: Taking taylor expansion of -1 in im 10.799 * [backup-simplify]: Simplify -1 into -1 10.799 * [taylor]: Taking taylor expansion of re in im 10.799 * [backup-simplify]: Simplify re into re 10.799 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 10.799 * [taylor]: Taking taylor expansion of (/ -1 re) in im 10.799 * [taylor]: Taking taylor expansion of -1 in im 10.799 * [backup-simplify]: Simplify -1 into -1 10.799 * [taylor]: Taking taylor expansion of re in im 10.799 * [backup-simplify]: Simplify re into re 10.799 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 10.799 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 10.799 * [taylor]: Taking taylor expansion of (/ -1 im) in im 10.799 * [taylor]: Taking taylor expansion of -1 in im 10.799 * [backup-simplify]: Simplify -1 into -1 10.799 * [taylor]: Taking taylor expansion of im in im 10.799 * [backup-simplify]: Simplify 0 into 0 10.799 * [backup-simplify]: Simplify 1 into 1 10.799 * [backup-simplify]: Simplify (/ -1 1) into -1 10.800 * [taylor]: Taking taylor expansion of (/ -1 im) in im 10.800 * [taylor]: Taking taylor expansion of -1 in im 10.800 * [backup-simplify]: Simplify -1 into -1 10.800 * [taylor]: Taking taylor expansion of im in im 10.800 * [backup-simplify]: Simplify 0 into 0 10.800 * [backup-simplify]: Simplify 1 into 1 10.800 * [backup-simplify]: Simplify (/ -1 1) into -1 10.800 * [backup-simplify]: Simplify (* -1 -1) into 1 10.801 * [backup-simplify]: Simplify (+ 0 1) into 1 10.801 * [backup-simplify]: Simplify (sqrt 1) into 1 10.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.804 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.804 * [backup-simplify]: Simplify (+ 0 0) into 0 10.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.805 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.805 * [taylor]: Taking taylor expansion of re in im 10.805 * [backup-simplify]: Simplify re into re 10.805 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.805 * [backup-simplify]: Simplify (+ 1 0) into 1 10.806 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0) 10.807 * [backup-simplify]: Simplify (sqrt 0) into 0 10.809 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0)) 10.809 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 10.809 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 10.809 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.809 * [taylor]: Taking taylor expansion of 2.0 in re 10.809 * [backup-simplify]: Simplify 2.0 into 2.0 10.809 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.810 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 10.810 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 10.810 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 10.811 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 10.811 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 10.811 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.811 * [taylor]: Taking taylor expansion of -1 in re 10.811 * [backup-simplify]: Simplify -1 into -1 10.811 * [taylor]: Taking taylor expansion of re in re 10.811 * [backup-simplify]: Simplify 0 into 0 10.811 * [backup-simplify]: Simplify 1 into 1 10.811 * [backup-simplify]: Simplify (/ -1 1) into -1 10.811 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.811 * [taylor]: Taking taylor expansion of -1 in re 10.811 * [backup-simplify]: Simplify -1 into -1 10.811 * [taylor]: Taking taylor expansion of re in re 10.811 * [backup-simplify]: Simplify 0 into 0 10.811 * [backup-simplify]: Simplify 1 into 1 10.812 * [backup-simplify]: Simplify (/ -1 1) into -1 10.812 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 10.812 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.812 * [taylor]: Taking taylor expansion of -1 in re 10.812 * [backup-simplify]: Simplify -1 into -1 10.812 * [taylor]: Taking taylor expansion of im in re 10.812 * [backup-simplify]: Simplify im into im 10.812 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.812 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.812 * [taylor]: Taking taylor expansion of -1 in re 10.812 * [backup-simplify]: Simplify -1 into -1 10.812 * [taylor]: Taking taylor expansion of im in re 10.812 * [backup-simplify]: Simplify im into im 10.812 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.812 * [backup-simplify]: Simplify (* -1 -1) into 1 10.813 * [backup-simplify]: Simplify (+ 1 0) into 1 10.813 * [backup-simplify]: Simplify (sqrt 1) into 1 10.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.814 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.814 * [backup-simplify]: Simplify (+ 0 0) into 0 10.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.815 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.815 * [taylor]: Taking taylor expansion of re in re 10.815 * [backup-simplify]: Simplify 0 into 0 10.815 * [backup-simplify]: Simplify 1 into 1 10.815 * [backup-simplify]: Simplify (/ 1 1) into 1 10.815 * [backup-simplify]: Simplify (- 1) into -1 10.816 * [backup-simplify]: Simplify (+ 1 -1) into 0 10.816 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 10.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.817 * [backup-simplify]: Simplify (- 0) into 0 10.817 * [backup-simplify]: Simplify (+ 0 0) into 0 10.817 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 0)) into 0 10.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.819 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 10.819 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 10.819 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.820 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.821 * [backup-simplify]: Simplify (- 0) into 0 10.821 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 10.822 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.822 * [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))) 10.823 * [backup-simplify]: Simplify (sqrt 0) into 0 10.823 * [backup-simplify]: Simplify (/ (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* 2 (sqrt 0))) into (* +nan.0 (/ (sqrt 2.0) (pow im 2))) 10.823 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 10.823 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 10.823 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.823 * [taylor]: Taking taylor expansion of 2.0 in re 10.823 * [backup-simplify]: Simplify 2.0 into 2.0 10.824 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.824 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 10.824 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 10.824 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 10.824 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 10.824 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 10.824 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.824 * [taylor]: Taking taylor expansion of -1 in re 10.824 * [backup-simplify]: Simplify -1 into -1 10.824 * [taylor]: Taking taylor expansion of re in re 10.824 * [backup-simplify]: Simplify 0 into 0 10.824 * [backup-simplify]: Simplify 1 into 1 10.825 * [backup-simplify]: Simplify (/ -1 1) into -1 10.825 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.825 * [taylor]: Taking taylor expansion of -1 in re 10.825 * [backup-simplify]: Simplify -1 into -1 10.825 * [taylor]: Taking taylor expansion of re in re 10.825 * [backup-simplify]: Simplify 0 into 0 10.825 * [backup-simplify]: Simplify 1 into 1 10.825 * [backup-simplify]: Simplify (/ -1 1) into -1 10.825 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 10.825 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.825 * [taylor]: Taking taylor expansion of -1 in re 10.825 * [backup-simplify]: Simplify -1 into -1 10.825 * [taylor]: Taking taylor expansion of im in re 10.825 * [backup-simplify]: Simplify im into im 10.825 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.825 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.825 * [taylor]: Taking taylor expansion of -1 in re 10.825 * [backup-simplify]: Simplify -1 into -1 10.825 * [taylor]: Taking taylor expansion of im in re 10.825 * [backup-simplify]: Simplify im into im 10.825 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.826 * [backup-simplify]: Simplify (* -1 -1) into 1 10.826 * [backup-simplify]: Simplify (+ 1 0) into 1 10.826 * [backup-simplify]: Simplify (sqrt 1) into 1 10.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.827 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.828 * [backup-simplify]: Simplify (+ 0 0) into 0 10.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.828 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.828 * [taylor]: Taking taylor expansion of re in re 10.828 * [backup-simplify]: Simplify 0 into 0 10.828 * [backup-simplify]: Simplify 1 into 1 10.828 * [backup-simplify]: Simplify (/ 1 1) into 1 10.829 * [backup-simplify]: Simplify (- 1) into -1 10.829 * [backup-simplify]: Simplify (+ 1 -1) into 0 10.829 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 10.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.830 * [backup-simplify]: Simplify (- 0) into 0 10.830 * [backup-simplify]: Simplify (+ 0 0) into 0 10.831 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 0)) into 0 10.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.832 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 10.832 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 10.833 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.833 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.834 * [backup-simplify]: Simplify (- 0) into 0 10.834 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 10.842 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.843 * [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))) 10.843 * [backup-simplify]: Simplify (sqrt 0) into 0 10.844 * [backup-simplify]: Simplify (/ (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* 2 (sqrt 0))) into (* +nan.0 (/ (sqrt 2.0) (pow im 2))) 10.844 * [taylor]: Taking taylor expansion of 0 in im 10.844 * [backup-simplify]: Simplify 0 into 0 10.844 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 10.844 * [taylor]: Taking taylor expansion of +nan.0 in im 10.844 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.844 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 10.844 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.844 * [taylor]: Taking taylor expansion of 2.0 in im 10.844 * [backup-simplify]: Simplify 2.0 into 2.0 10.845 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.845 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.845 * [taylor]: Taking taylor expansion of im in im 10.845 * [backup-simplify]: Simplify 0 into 0 10.845 * [backup-simplify]: Simplify 1 into 1 10.845 * [backup-simplify]: Simplify (* 1 1) into 1 10.846 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 10.847 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 10.847 * [backup-simplify]: Simplify 0 into 0 10.847 * [backup-simplify]: Simplify 0 into 0 10.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.849 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 10.849 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 10.849 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 10.850 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 10.850 * [backup-simplify]: Simplify (+ 0 0) into 0 10.850 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.851 * [backup-simplify]: Simplify (- 0) into 0 10.851 * [backup-simplify]: Simplify (+ 0 0) into 0 10.852 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.853 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0)))) into 0 10.854 * [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))) 10.854 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) in im 10.854 * [taylor]: Taking taylor expansion of +nan.0 in im 10.854 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.854 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 4)) in im 10.854 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im 10.854 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.854 * [taylor]: Taking taylor expansion of 2.0 in im 10.854 * [backup-simplify]: Simplify 2.0 into 2.0 10.854 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.855 * [taylor]: Taking taylor expansion of (pow im 4) in im 10.855 * [taylor]: Taking taylor expansion of im in im 10.855 * [backup-simplify]: Simplify 0 into 0 10.855 * [backup-simplify]: Simplify 1 into 1 10.856 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2) 10.856 * [backup-simplify]: Simplify (* 1 1) into 1 10.856 * [backup-simplify]: Simplify (* 1 1) into 1 10.857 * [backup-simplify]: Simplify (/ (pow (sqrt 2.0) 2) 1) into (pow (sqrt 2.0) 2) 10.858 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.859 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.860 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 10.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.862 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0 10.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 2) (/ 0 1)))) into 0 10.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.865 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 10.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.868 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))) into 0 10.868 * [backup-simplify]: Simplify 0 into 0 10.869 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.872 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 10.872 * [backup-simplify]: Simplify 0 into 0 10.872 * [backup-simplify]: Simplify 0 into 0 10.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.874 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 10.874 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 10.874 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 10.874 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 10.875 * [backup-simplify]: Simplify (+ 0 0) into 0 10.876 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 10.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.876 * [backup-simplify]: Simplify (- 0) into 0 10.877 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 10.877 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.879 * [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)))) 10.880 * [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)))))) 10.880 * [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 10.880 * [taylor]: Taking taylor expansion of +nan.0 in im 10.881 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.881 * [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 10.881 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 2.0) (pow im 4))) in im 10.881 * [taylor]: Taking taylor expansion of 1/8 in im 10.881 * [backup-simplify]: Simplify 1/8 into 1/8 10.881 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 10.881 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.881 * [taylor]: Taking taylor expansion of 2.0 in im 10.881 * [backup-simplify]: Simplify 2.0 into 2.0 10.881 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.881 * [taylor]: Taking taylor expansion of (pow im 4) in im 10.881 * [taylor]: Taking taylor expansion of im in im 10.881 * [backup-simplify]: Simplify 0 into 0 10.881 * [backup-simplify]: Simplify 1 into 1 10.882 * [backup-simplify]: Simplify (* 1 1) into 1 10.882 * [backup-simplify]: Simplify (* 1 1) into 1 10.882 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.882 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6)))) in im 10.883 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))) in im 10.883 * [taylor]: Taking taylor expansion of +nan.0 in im 10.883 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.883 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 3) (pow im 6)) in im 10.883 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im 10.883 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.883 * [taylor]: Taking taylor expansion of 2.0 in im 10.883 * [backup-simplify]: Simplify 2.0 into 2.0 10.883 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.883 * [taylor]: Taking taylor expansion of (pow im 6) in im 10.883 * [taylor]: Taking taylor expansion of im in im 10.883 * [backup-simplify]: Simplify 0 into 0 10.883 * [backup-simplify]: Simplify 1 into 1 10.884 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2) 10.885 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3) 10.886 * [backup-simplify]: Simplify (* 1 1) into 1 10.886 * [backup-simplify]: Simplify (* 1 1) into 1 10.886 * [backup-simplify]: Simplify (* 1 1) into 1 10.887 * [backup-simplify]: Simplify (/ (pow (sqrt 2.0) 3) 1) into (pow (sqrt 2.0) 3) 10.888 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.889 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 10.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.894 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 10.895 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.896 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.897 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.898 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 10.899 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0 10.900 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 10.901 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 10.901 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0 10.902 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))))) into 0 10.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 10.914 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow (sqrt 2.0) 2))) into 0 10.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)))) into 0 10.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.918 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))) into 0 10.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.924 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))) into 0 10.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.927 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))) into 0 10.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.930 * [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 10.932 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3))))))) into 0 10.932 * [backup-simplify]: Simplify (- 0) into 0 10.933 * [backup-simplify]: Simplify (+ 0 0) into 0 10.934 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 10.936 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3)))))) into 0 10.936 * [backup-simplify]: Simplify (- 0) into 0 10.937 * [backup-simplify]: Simplify (+ 0 0) into 0 10.938 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (sqrt 2.0))) into 0 10.939 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3))))) into 0 10.940 * [backup-simplify]: Simplify (- 0) into 0 10.940 * [backup-simplify]: Simplify (+ 0 0) into 0 10.941 * [backup-simplify]: Simplify (* 1/8 (sqrt 2.0)) into (* 1/8 (sqrt 2.0)) 10.943 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3)))) into 0 10.943 * [backup-simplify]: Simplify (- 0) into 0 10.945 * [backup-simplify]: Simplify (+ (* 1/8 (sqrt 2.0)) 0) into (* 1/8 (sqrt 2.0)) 10.946 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (sqrt 2.0) 3))) into 0 10.946 * [backup-simplify]: Simplify (- 0) into 0 10.947 * [backup-simplify]: Simplify (+ 0 0) into 0 10.949 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 3)) into (* +nan.0 (pow (sqrt 2.0) 3)) 10.952 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 10.966 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (pow (sqrt 2.0) 3)))) into (- (* +nan.0 (pow (sqrt 2.0) 3))) 10.969 * [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 10.969 * [backup-simplify]: Simplify 0 into 0 10.970 * [backup-simplify]: Simplify 0 into 0 10.970 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 10.972 * [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)) 10.972 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 10.972 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 10.972 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 10.972 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 10.972 * [taylor]: Taking taylor expansion of re in im 10.972 * [backup-simplify]: Simplify re into re 10.972 * [taylor]: Taking taylor expansion of (hypot re im) in im 10.972 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 10.972 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 10.972 * [taylor]: Taking taylor expansion of (* re re) in im 10.972 * [taylor]: Taking taylor expansion of re in im 10.972 * [backup-simplify]: Simplify re into re 10.972 * [taylor]: Taking taylor expansion of re in im 10.972 * [backup-simplify]: Simplify re into re 10.972 * [taylor]: Taking taylor expansion of (* im im) in im 10.972 * [taylor]: Taking taylor expansion of im in im 10.972 * [backup-simplify]: Simplify 0 into 0 10.972 * [backup-simplify]: Simplify 1 into 1 10.973 * [taylor]: Taking taylor expansion of im in im 10.973 * [backup-simplify]: Simplify 0 into 0 10.973 * [backup-simplify]: Simplify 1 into 1 10.973 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.973 * [backup-simplify]: Simplify (* 0 0) into 0 10.973 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 10.973 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.973 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.974 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.975 * [backup-simplify]: Simplify (+ 0 0) into 0 10.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.975 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 10.975 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 10.975 * [backup-simplify]: Simplify (+ 0 0) into 0 10.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 10.975 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.975 * [taylor]: Taking taylor expansion of 2.0 in im 10.976 * [backup-simplify]: Simplify 2.0 into 2.0 10.976 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.977 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 10.977 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 10.977 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 10.977 * [taylor]: Taking taylor expansion of re in re 10.977 * [backup-simplify]: Simplify 0 into 0 10.977 * [backup-simplify]: Simplify 1 into 1 10.977 * [taylor]: Taking taylor expansion of (hypot re im) in re 10.977 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 10.977 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 10.977 * [taylor]: Taking taylor expansion of (* re re) in re 10.977 * [taylor]: Taking taylor expansion of re in re 10.977 * [backup-simplify]: Simplify 0 into 0 10.977 * [backup-simplify]: Simplify 1 into 1 10.977 * [taylor]: Taking taylor expansion of re in re 10.977 * [backup-simplify]: Simplify 0 into 0 10.977 * [backup-simplify]: Simplify 1 into 1 10.977 * [taylor]: Taking taylor expansion of (* im im) in re 10.977 * [taylor]: Taking taylor expansion of im in re 10.977 * [backup-simplify]: Simplify im into im 10.977 * [taylor]: Taking taylor expansion of im in re 10.977 * [backup-simplify]: Simplify im into im 10.978 * [backup-simplify]: Simplify (* 0 0) into 0 10.978 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.978 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.978 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.979 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.979 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.979 * [backup-simplify]: Simplify (+ 0 0) into 0 10.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.980 * [backup-simplify]: Simplify (+ 0 im) into im 10.980 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 10.980 * [backup-simplify]: Simplify (+ 1 0) into 1 10.980 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 10.980 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.980 * [taylor]: Taking taylor expansion of 2.0 in re 10.980 * [backup-simplify]: Simplify 2.0 into 2.0 10.981 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.982 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 10.982 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 10.982 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 10.982 * [taylor]: Taking taylor expansion of re in re 10.982 * [backup-simplify]: Simplify 0 into 0 10.982 * [backup-simplify]: Simplify 1 into 1 10.982 * [taylor]: Taking taylor expansion of (hypot re im) in re 10.982 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 10.982 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 10.982 * [taylor]: Taking taylor expansion of (* re re) in re 10.982 * [taylor]: Taking taylor expansion of re in re 10.982 * [backup-simplify]: Simplify 0 into 0 10.982 * [backup-simplify]: Simplify 1 into 1 10.982 * [taylor]: Taking taylor expansion of re in re 10.982 * [backup-simplify]: Simplify 0 into 0 10.982 * [backup-simplify]: Simplify 1 into 1 10.982 * [taylor]: Taking taylor expansion of (* im im) in re 10.982 * [taylor]: Taking taylor expansion of im in re 10.982 * [backup-simplify]: Simplify im into im 10.982 * [taylor]: Taking taylor expansion of im in re 10.982 * [backup-simplify]: Simplify im into im 10.983 * [backup-simplify]: Simplify (* 0 0) into 0 10.983 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.983 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.983 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.984 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.984 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.984 * [backup-simplify]: Simplify (+ 0 0) into 0 10.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.984 * [backup-simplify]: Simplify (+ 0 im) into im 10.985 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 10.985 * [backup-simplify]: Simplify (+ 1 0) into 1 10.985 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 10.985 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.985 * [taylor]: Taking taylor expansion of 2.0 in re 10.985 * [backup-simplify]: Simplify 2.0 into 2.0 10.986 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.987 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im)) 10.987 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 10.987 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.987 * [taylor]: Taking taylor expansion of 2.0 in im 10.987 * [backup-simplify]: Simplify 2.0 into 2.0 10.987 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.988 * [taylor]: Taking taylor expansion of (sqrt im) in im 10.988 * [taylor]: Taking taylor expansion of im in im 10.988 * [backup-simplify]: Simplify 0 into 0 10.988 * [backup-simplify]: Simplify 1 into 1 10.989 * [backup-simplify]: Simplify (sqrt 0) into 0 10.990 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.991 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 10.991 * [backup-simplify]: Simplify 0 into 0 10.991 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 10.991 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 10.991 * [taylor]: Taking taylor expansion of 1/2 in im 10.992 * [backup-simplify]: Simplify 1/2 into 1/2 10.992 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 10.992 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.992 * [taylor]: Taking taylor expansion of 2.0 in im 10.992 * [backup-simplify]: Simplify 2.0 into 2.0 10.992 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.993 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 10.993 * [taylor]: Taking taylor expansion of (/ 1 im) in im 10.993 * [taylor]: Taking taylor expansion of im in im 10.993 * [backup-simplify]: Simplify 0 into 0 10.993 * [backup-simplify]: Simplify 1 into 1 10.993 * [backup-simplify]: Simplify (/ 1 1) into 1 10.994 * [backup-simplify]: Simplify (sqrt 0) into 0 10.995 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.997 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 10.998 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 11.002 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 11.003 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 11.005 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 11.006 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 11.006 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 11.007 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.007 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 11.007 * [backup-simplify]: Simplify (+ 1 0) into 1 11.008 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 11.008 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 11.008 * [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)))) 11.009 * [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))))) 11.009 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 11.009 * [taylor]: Taking taylor expansion of 1/8 in im 11.009 * [backup-simplify]: Simplify 1/8 into 1/8 11.009 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 11.009 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.009 * [taylor]: Taking taylor expansion of 2.0 in im 11.009 * [backup-simplify]: Simplify 2.0 into 2.0 11.009 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.010 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 11.010 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 11.010 * [taylor]: Taking taylor expansion of (pow im 3) in im 11.010 * [taylor]: Taking taylor expansion of im in im 11.010 * [backup-simplify]: Simplify 0 into 0 11.010 * [backup-simplify]: Simplify 1 into 1 11.010 * [backup-simplify]: Simplify (* 1 1) into 1 11.011 * [backup-simplify]: Simplify (* 1 1) into 1 11.011 * [backup-simplify]: Simplify (/ 1 1) into 1 11.011 * [backup-simplify]: Simplify (sqrt 0) into 0 11.012 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.015 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.016 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 11.017 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 11.018 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 11.019 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 11.022 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 11.023 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 11.026 * [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))))))) 11.027 * [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)) 11.027 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 11.027 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 11.027 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 11.027 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 11.027 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 11.027 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.027 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 11.027 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 11.027 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.027 * [taylor]: Taking taylor expansion of re in im 11.027 * [backup-simplify]: Simplify re into re 11.027 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.028 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.028 * [taylor]: Taking taylor expansion of re in im 11.028 * [backup-simplify]: Simplify re into re 11.028 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.028 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 11.028 * [taylor]: Taking taylor expansion of (/ 1 im) in im 11.028 * [taylor]: Taking taylor expansion of im in im 11.028 * [backup-simplify]: Simplify 0 into 0 11.028 * [backup-simplify]: Simplify 1 into 1 11.028 * [backup-simplify]: Simplify (/ 1 1) into 1 11.028 * [taylor]: Taking taylor expansion of (/ 1 im) in im 11.028 * [taylor]: Taking taylor expansion of im in im 11.028 * [backup-simplify]: Simplify 0 into 0 11.028 * [backup-simplify]: Simplify 1 into 1 11.028 * [backup-simplify]: Simplify (/ 1 1) into 1 11.029 * [backup-simplify]: Simplify (* 1 1) into 1 11.029 * [backup-simplify]: Simplify (+ 0 1) into 1 11.029 * [backup-simplify]: Simplify (sqrt 1) into 1 11.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.031 * [backup-simplify]: Simplify (+ 0 0) into 0 11.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.031 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.031 * [taylor]: Taking taylor expansion of re in im 11.031 * [backup-simplify]: Simplify re into re 11.031 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.031 * [backup-simplify]: Simplify (+ 1 0) into 1 11.032 * [backup-simplify]: Simplify (sqrt 0) into 0 11.033 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.033 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.033 * [taylor]: Taking taylor expansion of 2.0 in im 11.033 * [backup-simplify]: Simplify 2.0 into 2.0 11.033 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.033 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 11.033 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 11.033 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 11.033 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 11.034 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.034 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 11.034 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 11.034 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.034 * [taylor]: Taking taylor expansion of re in re 11.034 * [backup-simplify]: Simplify 0 into 0 11.034 * [backup-simplify]: Simplify 1 into 1 11.034 * [backup-simplify]: Simplify (/ 1 1) into 1 11.034 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.034 * [taylor]: Taking taylor expansion of re in re 11.034 * [backup-simplify]: Simplify 0 into 0 11.034 * [backup-simplify]: Simplify 1 into 1 11.034 * [backup-simplify]: Simplify (/ 1 1) into 1 11.034 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 11.034 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.034 * [taylor]: Taking taylor expansion of im in re 11.034 * [backup-simplify]: Simplify im into im 11.034 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.034 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.034 * [taylor]: Taking taylor expansion of im in re 11.034 * [backup-simplify]: Simplify im into im 11.034 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.035 * [backup-simplify]: Simplify (* 1 1) into 1 11.035 * [backup-simplify]: Simplify (+ 1 0) into 1 11.035 * [backup-simplify]: Simplify (sqrt 1) into 1 11.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.038 * [backup-simplify]: Simplify (+ 0 0) into 0 11.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.038 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.038 * [taylor]: Taking taylor expansion of re in re 11.038 * [backup-simplify]: Simplify 0 into 0 11.038 * [backup-simplify]: Simplify 1 into 1 11.039 * [backup-simplify]: Simplify (/ 1 1) into 1 11.039 * [backup-simplify]: Simplify (+ 1 1) into 2 11.040 * [backup-simplify]: Simplify (sqrt 0) into 0 11.041 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 11.041 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.041 * [taylor]: Taking taylor expansion of 2.0 in re 11.041 * [backup-simplify]: Simplify 2.0 into 2.0 11.041 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.042 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 11.042 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 11.042 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 11.042 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 11.042 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.042 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 11.043 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 11.043 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.043 * [taylor]: Taking taylor expansion of re in re 11.043 * [backup-simplify]: Simplify 0 into 0 11.043 * [backup-simplify]: Simplify 1 into 1 11.043 * [backup-simplify]: Simplify (/ 1 1) into 1 11.043 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.043 * [taylor]: Taking taylor expansion of re in re 11.043 * [backup-simplify]: Simplify 0 into 0 11.043 * [backup-simplify]: Simplify 1 into 1 11.043 * [backup-simplify]: Simplify (/ 1 1) into 1 11.043 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 11.044 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.044 * [taylor]: Taking taylor expansion of im in re 11.044 * [backup-simplify]: Simplify im into im 11.044 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.044 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.044 * [taylor]: Taking taylor expansion of im in re 11.044 * [backup-simplify]: Simplify im into im 11.044 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.044 * [backup-simplify]: Simplify (* 1 1) into 1 11.045 * [backup-simplify]: Simplify (+ 1 0) into 1 11.045 * [backup-simplify]: Simplify (sqrt 1) into 1 11.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.047 * [backup-simplify]: Simplify (+ 0 0) into 0 11.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.048 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.048 * [taylor]: Taking taylor expansion of re in re 11.048 * [backup-simplify]: Simplify 0 into 0 11.048 * [backup-simplify]: Simplify 1 into 1 11.048 * [backup-simplify]: Simplify (/ 1 1) into 1 11.049 * [backup-simplify]: Simplify (+ 1 1) into 2 11.049 * [backup-simplify]: Simplify (sqrt 0) into 0 11.050 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 11.050 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.050 * [taylor]: Taking taylor expansion of 2.0 in re 11.050 * [backup-simplify]: Simplify 2.0 into 2.0 11.050 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.051 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0 11.051 * [taylor]: Taking taylor expansion of 0 in im 11.051 * [backup-simplify]: Simplify 0 into 0 11.052 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 11.052 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 11.052 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 11.052 * [taylor]: Taking taylor expansion of +nan.0 in im 11.052 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.052 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.052 * [taylor]: Taking taylor expansion of 2.0 in im 11.052 * [backup-simplify]: Simplify 2.0 into 2.0 11.052 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.053 * [backup-simplify]: Simplify 0 into 0 11.054 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 11.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.054 * [backup-simplify]: Simplify (+ 0 0) into 0 11.056 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.058 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 11.058 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 11.058 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 11.058 * [taylor]: Taking taylor expansion of +nan.0 in im 11.058 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.058 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.058 * [taylor]: Taking taylor expansion of 2.0 in im 11.058 * [backup-simplify]: Simplify 2.0 into 2.0 11.059 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.060 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 11.061 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 11.062 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 11.062 * [backup-simplify]: Simplify 0 into 0 11.063 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 11.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.064 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 11.064 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.065 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.066 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 11.067 * [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)) 11.068 * [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))))) 11.068 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 11.068 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 11.068 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 11.068 * [taylor]: Taking taylor expansion of +nan.0 in im 11.068 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.068 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 11.069 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.069 * [taylor]: Taking taylor expansion of 2.0 in im 11.069 * [backup-simplify]: Simplify 2.0 into 2.0 11.069 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.069 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.069 * [taylor]: Taking taylor expansion of im in im 11.069 * [backup-simplify]: Simplify 0 into 0 11.069 * [backup-simplify]: Simplify 1 into 1 11.070 * [backup-simplify]: Simplify (* 1 1) into 1 11.070 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 11.070 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 11.070 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 11.070 * [taylor]: Taking taylor expansion of +nan.0 in im 11.070 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.070 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.070 * [taylor]: Taking taylor expansion of 2.0 in im 11.070 * [backup-simplify]: Simplify 2.0 into 2.0 11.071 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 11.073 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 11.073 * [backup-simplify]: Simplify (+ 0 0) into 0 11.074 * [backup-simplify]: Simplify (- 0) into 0 11.074 * [backup-simplify]: Simplify 0 into 0 11.075 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 11.076 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 11.089 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 11.090 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 11.090 * [backup-simplify]: Simplify (- 0) into 0 11.090 * [backup-simplify]: Simplify 0 into 0 11.090 * [backup-simplify]: Simplify 0 into 0 11.092 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 11.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 11.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 11.096 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 11.096 * [backup-simplify]: Simplify (+ 0 0) into 0 11.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.098 * [backup-simplify]: Simplify (+ 0 0) into 0 11.099 * [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))) 11.102 * [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))))) 11.102 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 11.102 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 11.102 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 11.102 * [taylor]: Taking taylor expansion of +nan.0 in im 11.102 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.102 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 11.102 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.102 * [taylor]: Taking taylor expansion of 2.0 in im 11.102 * [backup-simplify]: Simplify 2.0 into 2.0 11.103 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.104 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.104 * [taylor]: Taking taylor expansion of im in im 11.104 * [backup-simplify]: Simplify 0 into 0 11.104 * [backup-simplify]: Simplify 1 into 1 11.104 * [backup-simplify]: Simplify (* 1 1) into 1 11.105 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 11.105 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 11.105 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 11.105 * [taylor]: Taking taylor expansion of +nan.0 in im 11.105 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.105 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.105 * [taylor]: Taking taylor expansion of 2.0 in im 11.105 * [backup-simplify]: Simplify 2.0 into 2.0 11.105 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 11.109 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 11.109 * [backup-simplify]: Simplify (+ 0 0) into 0 11.110 * [backup-simplify]: Simplify (- 0) into 0 11.110 * [backup-simplify]: Simplify 0 into 0 11.111 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 11.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.114 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 11.115 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 11.117 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 11.119 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 11.121 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 11.123 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 11.128 * [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))))))) 11.130 * [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)))) 11.130 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 11.130 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 11.130 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.130 * [taylor]: Taking taylor expansion of 2.0 in im 11.131 * [backup-simplify]: Simplify 2.0 into 2.0 11.131 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.132 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 11.132 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 11.132 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 11.132 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.132 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 11.132 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 11.132 * [taylor]: Taking taylor expansion of (/ -1 re) in im 11.132 * [taylor]: Taking taylor expansion of -1 in im 11.132 * [backup-simplify]: Simplify -1 into -1 11.132 * [taylor]: Taking taylor expansion of re in im 11.132 * [backup-simplify]: Simplify re into re 11.132 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 11.132 * [taylor]: Taking taylor expansion of (/ -1 re) in im 11.132 * [taylor]: Taking taylor expansion of -1 in im 11.132 * [backup-simplify]: Simplify -1 into -1 11.132 * [taylor]: Taking taylor expansion of re in im 11.132 * [backup-simplify]: Simplify re into re 11.132 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 11.133 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 11.133 * [taylor]: Taking taylor expansion of (/ -1 im) in im 11.133 * [taylor]: Taking taylor expansion of -1 in im 11.133 * [backup-simplify]: Simplify -1 into -1 11.133 * [taylor]: Taking taylor expansion of im in im 11.133 * [backup-simplify]: Simplify 0 into 0 11.133 * [backup-simplify]: Simplify 1 into 1 11.133 * [backup-simplify]: Simplify (/ -1 1) into -1 11.133 * [taylor]: Taking taylor expansion of (/ -1 im) in im 11.133 * [taylor]: Taking taylor expansion of -1 in im 11.133 * [backup-simplify]: Simplify -1 into -1 11.133 * [taylor]: Taking taylor expansion of im in im 11.133 * [backup-simplify]: Simplify 0 into 0 11.133 * [backup-simplify]: Simplify 1 into 1 11.134 * [backup-simplify]: Simplify (/ -1 1) into -1 11.134 * [backup-simplify]: Simplify (* -1 -1) into 1 11.135 * [backup-simplify]: Simplify (+ 0 1) into 1 11.135 * [backup-simplify]: Simplify (sqrt 1) into 1 11.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.137 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.138 * [backup-simplify]: Simplify (+ 0 0) into 0 11.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.138 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.138 * [taylor]: Taking taylor expansion of re in im 11.138 * [backup-simplify]: Simplify re into re 11.138 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.139 * [backup-simplify]: Simplify (+ 1 0) into 1 11.139 * [backup-simplify]: Simplify (sqrt 0) into 0 11.141 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.141 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 11.141 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.141 * [taylor]: Taking taylor expansion of 2.0 in re 11.141 * [backup-simplify]: Simplify 2.0 into 2.0 11.141 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.142 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 11.142 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 11.142 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 11.142 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.142 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 11.142 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 11.142 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.142 * [taylor]: Taking taylor expansion of -1 in re 11.142 * [backup-simplify]: Simplify -1 into -1 11.142 * [taylor]: Taking taylor expansion of re in re 11.143 * [backup-simplify]: Simplify 0 into 0 11.143 * [backup-simplify]: Simplify 1 into 1 11.143 * [backup-simplify]: Simplify (/ -1 1) into -1 11.143 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.143 * [taylor]: Taking taylor expansion of -1 in re 11.143 * [backup-simplify]: Simplify -1 into -1 11.143 * [taylor]: Taking taylor expansion of re in re 11.143 * [backup-simplify]: Simplify 0 into 0 11.143 * [backup-simplify]: Simplify 1 into 1 11.144 * [backup-simplify]: Simplify (/ -1 1) into -1 11.144 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 11.144 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.144 * [taylor]: Taking taylor expansion of -1 in re 11.144 * [backup-simplify]: Simplify -1 into -1 11.144 * [taylor]: Taking taylor expansion of im in re 11.144 * [backup-simplify]: Simplify im into im 11.144 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.144 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.144 * [taylor]: Taking taylor expansion of -1 in re 11.144 * [backup-simplify]: Simplify -1 into -1 11.144 * [taylor]: Taking taylor expansion of im in re 11.144 * [backup-simplify]: Simplify im into im 11.144 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.144 * [backup-simplify]: Simplify (* -1 -1) into 1 11.145 * [backup-simplify]: Simplify (+ 1 0) into 1 11.145 * [backup-simplify]: Simplify (sqrt 1) into 1 11.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.148 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.148 * [backup-simplify]: Simplify (+ 0 0) into 0 11.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.149 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.149 * [taylor]: Taking taylor expansion of re in re 11.149 * [backup-simplify]: Simplify 0 into 0 11.149 * [backup-simplify]: Simplify 1 into 1 11.150 * [backup-simplify]: Simplify (/ 1 1) into 1 11.150 * [backup-simplify]: Simplify (- 1) into -1 11.150 * [backup-simplify]: Simplify (+ 1 -1) into 0 11.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.152 * [backup-simplify]: Simplify (- 0) into 0 11.152 * [backup-simplify]: Simplify (+ 0 0) into 0 11.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.155 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 11.155 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 11.155 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.157 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.158 * [backup-simplify]: Simplify (- 0) into 0 11.158 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 11.159 * [backup-simplify]: Simplify (sqrt 0) into 0 11.159 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 11.159 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 11.159 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 11.159 * [taylor]: Taking taylor expansion of 2.0 in re 11.159 * [backup-simplify]: Simplify 2.0 into 2.0 11.160 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.161 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 11.161 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 11.161 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 11.161 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.161 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 11.161 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 11.161 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.161 * [taylor]: Taking taylor expansion of -1 in re 11.161 * [backup-simplify]: Simplify -1 into -1 11.161 * [taylor]: Taking taylor expansion of re in re 11.161 * [backup-simplify]: Simplify 0 into 0 11.161 * [backup-simplify]: Simplify 1 into 1 11.162 * [backup-simplify]: Simplify (/ -1 1) into -1 11.162 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.162 * [taylor]: Taking taylor expansion of -1 in re 11.162 * [backup-simplify]: Simplify -1 into -1 11.162 * [taylor]: Taking taylor expansion of re in re 11.162 * [backup-simplify]: Simplify 0 into 0 11.162 * [backup-simplify]: Simplify 1 into 1 11.162 * [backup-simplify]: Simplify (/ -1 1) into -1 11.162 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 11.162 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.162 * [taylor]: Taking taylor expansion of -1 in re 11.162 * [backup-simplify]: Simplify -1 into -1 11.162 * [taylor]: Taking taylor expansion of im in re 11.163 * [backup-simplify]: Simplify im into im 11.163 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.163 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.163 * [taylor]: Taking taylor expansion of -1 in re 11.163 * [backup-simplify]: Simplify -1 into -1 11.163 * [taylor]: Taking taylor expansion of im in re 11.163 * [backup-simplify]: Simplify im into im 11.163 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.163 * [backup-simplify]: Simplify (* -1 -1) into 1 11.164 * [backup-simplify]: Simplify (+ 1 0) into 1 11.164 * [backup-simplify]: Simplify (sqrt 1) into 1 11.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.166 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.167 * [backup-simplify]: Simplify (+ 0 0) into 0 11.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.167 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.167 * [taylor]: Taking taylor expansion of re in re 11.167 * [backup-simplify]: Simplify 0 into 0 11.167 * [backup-simplify]: Simplify 1 into 1 11.168 * [backup-simplify]: Simplify (/ 1 1) into 1 11.168 * [backup-simplify]: Simplify (- 1) into -1 11.169 * [backup-simplify]: Simplify (+ 1 -1) into 0 11.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.170 * [backup-simplify]: Simplify (- 0) into 0 11.170 * [backup-simplify]: Simplify (+ 0 0) into 0 11.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.173 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 11.173 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 11.174 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.175 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.176 * [backup-simplify]: Simplify (- 0) into 0 11.176 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 11.177 * [backup-simplify]: Simplify (sqrt 0) into 0 11.178 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 11.178 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 11.178 * [taylor]: Taking taylor expansion of 0 in im 11.178 * [backup-simplify]: Simplify 0 into 0 11.179 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 11.179 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 11.179 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 11.179 * [taylor]: Taking taylor expansion of +nan.0 in im 11.179 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.179 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 11.179 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.179 * [taylor]: Taking taylor expansion of 2.0 in im 11.179 * [backup-simplify]: Simplify 2.0 into 2.0 11.180 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.181 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.181 * [taylor]: Taking taylor expansion of im in im 11.181 * [backup-simplify]: Simplify 0 into 0 11.181 * [backup-simplify]: Simplify 1 into 1 11.181 * [backup-simplify]: Simplify (* 1 1) into 1 11.182 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 11.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 11.185 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 11.185 * [backup-simplify]: Simplify (- 0) into 0 11.185 * [backup-simplify]: Simplify 0 into 0 11.185 * [backup-simplify]: Simplify 0 into 0 11.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.188 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 11.188 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 11.189 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 11.189 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 11.189 * [backup-simplify]: Simplify (+ 0 0) into 0 11.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.191 * [backup-simplify]: Simplify (- 0) into 0 11.191 * [backup-simplify]: Simplify (+ 0 0) into 0 11.193 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 11.194 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 11.195 * [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)))) 11.195 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 11.195 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 11.195 * [taylor]: Taking taylor expansion of +nan.0 in im 11.195 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.195 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 11.195 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.195 * [taylor]: Taking taylor expansion of 2.0 in im 11.195 * [backup-simplify]: Simplify 2.0 into 2.0 11.196 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.196 * [taylor]: Taking taylor expansion of (pow im 4) in im 11.197 * [taylor]: Taking taylor expansion of im in im 11.197 * [backup-simplify]: Simplify 0 into 0 11.197 * [backup-simplify]: Simplify 1 into 1 11.197 * [backup-simplify]: Simplify (* 1 1) into 1 11.197 * [backup-simplify]: Simplify (* 1 1) into 1 11.198 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 11.200 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 11.201 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 11.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 11.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.212 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 11.213 * [backup-simplify]: Simplify (- 0) into 0 11.213 * [backup-simplify]: Simplify 0 into 0 11.214 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 11.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.217 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 11.218 * [backup-simplify]: Simplify (- 0) into 0 11.218 * [backup-simplify]: Simplify 0 into 0 11.218 * [backup-simplify]: Simplify 0 into 0 11.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.221 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 11.221 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 11.221 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 11.222 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 11.222 * [backup-simplify]: Simplify (+ 0 0) into 0 11.224 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 11.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.225 * [backup-simplify]: Simplify (- 0) into 0 11.225 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 11.226 * [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)))))) 11.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 11.229 * [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)))))) 11.229 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 11.229 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 11.229 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 11.229 * [taylor]: Taking taylor expansion of +nan.0 in im 11.230 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.230 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 11.230 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.230 * [taylor]: Taking taylor expansion of 2.0 in im 11.230 * [backup-simplify]: Simplify 2.0 into 2.0 11.230 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.231 * [taylor]: Taking taylor expansion of (pow im 4) in im 11.231 * [taylor]: Taking taylor expansion of im in im 11.231 * [backup-simplify]: Simplify 0 into 0 11.231 * [backup-simplify]: Simplify 1 into 1 11.231 * [backup-simplify]: Simplify (* 1 1) into 1 11.232 * [backup-simplify]: Simplify (* 1 1) into 1 11.233 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 11.233 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 11.233 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 11.233 * [taylor]: Taking taylor expansion of +nan.0 in im 11.233 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.233 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 11.233 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 11.233 * [taylor]: Taking taylor expansion of 2.0 in im 11.233 * [backup-simplify]: Simplify 2.0 into 2.0 11.233 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 11.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 11.234 * [taylor]: Taking taylor expansion of (pow im 6) in im 11.234 * [taylor]: Taking taylor expansion of im in im 11.234 * [backup-simplify]: Simplify 0 into 0 11.234 * [backup-simplify]: Simplify 1 into 1 11.235 * [backup-simplify]: Simplify (* 1 1) into 1 11.235 * [backup-simplify]: Simplify (* 1 1) into 1 11.235 * [backup-simplify]: Simplify (* 1 1) into 1 11.236 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 11.237 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 11.248 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 11.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 11.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.254 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 11.255 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 11.256 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 11.256 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 11.257 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 11.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 11.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.270 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 11.271 * [backup-simplify]: Simplify (- 0) into 0 11.271 * [backup-simplify]: Simplify (+ 0 0) into 0 11.271 * [backup-simplify]: Simplify (- 0) into 0 11.271 * [backup-simplify]: Simplify 0 into 0 11.271 * [backup-simplify]: Simplify 0 into 0 11.271 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2) 11.272 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 11.272 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 11.272 * [taylor]: Taking taylor expansion of (hypot re im) in im 11.272 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 11.272 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 11.272 * [taylor]: Taking taylor expansion of (* re re) in im 11.272 * [taylor]: Taking taylor expansion of re in im 11.272 * [backup-simplify]: Simplify re into re 11.272 * [taylor]: Taking taylor expansion of re in im 11.272 * [backup-simplify]: Simplify re into re 11.272 * [taylor]: Taking taylor expansion of (* im im) in im 11.272 * [taylor]: Taking taylor expansion of im in im 11.272 * [backup-simplify]: Simplify 0 into 0 11.272 * [backup-simplify]: Simplify 1 into 1 11.272 * [taylor]: Taking taylor expansion of im in im 11.272 * [backup-simplify]: Simplify 0 into 0 11.272 * [backup-simplify]: Simplify 1 into 1 11.272 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.272 * [backup-simplify]: Simplify (* 0 0) into 0 11.272 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 11.273 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.273 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.273 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.273 * [backup-simplify]: Simplify (+ 0 0) into 0 11.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.273 * [taylor]: Taking taylor expansion of (hypot re im) in re 11.273 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 11.273 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 11.273 * [taylor]: Taking taylor expansion of (* re re) in re 11.273 * [taylor]: Taking taylor expansion of re in re 11.273 * [backup-simplify]: Simplify 0 into 0 11.274 * [backup-simplify]: Simplify 1 into 1 11.274 * [taylor]: Taking taylor expansion of re in re 11.274 * [backup-simplify]: Simplify 0 into 0 11.274 * [backup-simplify]: Simplify 1 into 1 11.274 * [taylor]: Taking taylor expansion of (* im im) in re 11.274 * [taylor]: Taking taylor expansion of im in re 11.274 * [backup-simplify]: Simplify im into im 11.274 * [taylor]: Taking taylor expansion of im in re 11.274 * [backup-simplify]: Simplify im into im 11.274 * [backup-simplify]: Simplify (* 0 0) into 0 11.274 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.274 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.274 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.274 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.275 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.275 * [backup-simplify]: Simplify (+ 0 0) into 0 11.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.275 * [taylor]: Taking taylor expansion of (hypot re im) in re 11.275 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 11.275 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 11.275 * [taylor]: Taking taylor expansion of (* re re) in re 11.275 * [taylor]: Taking taylor expansion of re in re 11.275 * [backup-simplify]: Simplify 0 into 0 11.275 * [backup-simplify]: Simplify 1 into 1 11.275 * [taylor]: Taking taylor expansion of re in re 11.275 * [backup-simplify]: Simplify 0 into 0 11.275 * [backup-simplify]: Simplify 1 into 1 11.275 * [taylor]: Taking taylor expansion of (* im im) in re 11.275 * [taylor]: Taking taylor expansion of im in re 11.275 * [backup-simplify]: Simplify im into im 11.275 * [taylor]: Taking taylor expansion of im in re 11.275 * [backup-simplify]: Simplify im into im 11.275 * [backup-simplify]: Simplify (* 0 0) into 0 11.276 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.276 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.276 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.276 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 11.276 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.277 * [backup-simplify]: Simplify (+ 0 0) into 0 11.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.277 * [taylor]: Taking taylor expansion of im in im 11.277 * [backup-simplify]: Simplify 0 into 0 11.277 * [backup-simplify]: Simplify 1 into 1 11.277 * [backup-simplify]: Simplify 0 into 0 11.277 * [taylor]: Taking taylor expansion of 0 in im 11.277 * [backup-simplify]: Simplify 0 into 0 11.277 * [backup-simplify]: Simplify 0 into 0 11.277 * [backup-simplify]: Simplify 1 into 1 11.278 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 11.278 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 11.279 * [backup-simplify]: Simplify (+ 1 0) into 1 11.280 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 11.280 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 11.280 * [taylor]: Taking taylor expansion of 1/2 in im 11.280 * [backup-simplify]: Simplify 1/2 into 1/2 11.280 * [taylor]: Taking taylor expansion of im in im 11.280 * [backup-simplify]: Simplify 0 into 0 11.280 * [backup-simplify]: Simplify 1 into 1 11.280 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.281 * [backup-simplify]: Simplify 0 into 0 11.281 * [backup-simplify]: Simplify 0 into 0 11.281 * [backup-simplify]: Simplify 0 into 0 11.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 11.283 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 11.284 * [backup-simplify]: Simplify (+ 0 0) into 0 11.284 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 11.284 * [taylor]: Taking taylor expansion of 0 in im 11.284 * [backup-simplify]: Simplify 0 into 0 11.284 * [backup-simplify]: Simplify 0 into 0 11.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.285 * [backup-simplify]: Simplify 0 into 0 11.285 * [backup-simplify]: Simplify 0 into 0 11.285 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 11.285 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 11.285 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 11.285 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 11.285 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.285 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 11.286 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 11.286 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.286 * [taylor]: Taking taylor expansion of re in im 11.286 * [backup-simplify]: Simplify re into re 11.286 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.286 * [taylor]: Taking taylor expansion of (/ 1 re) in im 11.286 * [taylor]: Taking taylor expansion of re in im 11.286 * [backup-simplify]: Simplify re into re 11.286 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 11.286 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 11.286 * [taylor]: Taking taylor expansion of (/ 1 im) in im 11.286 * [taylor]: Taking taylor expansion of im in im 11.286 * [backup-simplify]: Simplify 0 into 0 11.286 * [backup-simplify]: Simplify 1 into 1 11.286 * [backup-simplify]: Simplify (/ 1 1) into 1 11.286 * [taylor]: Taking taylor expansion of (/ 1 im) in im 11.286 * [taylor]: Taking taylor expansion of im in im 11.286 * [backup-simplify]: Simplify 0 into 0 11.286 * [backup-simplify]: Simplify 1 into 1 11.287 * [backup-simplify]: Simplify (/ 1 1) into 1 11.287 * [backup-simplify]: Simplify (* 1 1) into 1 11.288 * [backup-simplify]: Simplify (+ 0 1) into 1 11.288 * [backup-simplify]: Simplify (sqrt 1) into 1 11.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.291 * [backup-simplify]: Simplify (+ 0 0) into 0 11.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.291 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 11.292 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.292 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 11.292 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 11.292 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.292 * [taylor]: Taking taylor expansion of re in re 11.292 * [backup-simplify]: Simplify 0 into 0 11.292 * [backup-simplify]: Simplify 1 into 1 11.292 * [backup-simplify]: Simplify (/ 1 1) into 1 11.292 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.292 * [taylor]: Taking taylor expansion of re in re 11.292 * [backup-simplify]: Simplify 0 into 0 11.292 * [backup-simplify]: Simplify 1 into 1 11.293 * [backup-simplify]: Simplify (/ 1 1) into 1 11.293 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 11.293 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.293 * [taylor]: Taking taylor expansion of im in re 11.293 * [backup-simplify]: Simplify im into im 11.293 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.293 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.293 * [taylor]: Taking taylor expansion of im in re 11.293 * [backup-simplify]: Simplify im into im 11.293 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.293 * [backup-simplify]: Simplify (* 1 1) into 1 11.294 * [backup-simplify]: Simplify (+ 1 0) into 1 11.294 * [backup-simplify]: Simplify (sqrt 1) into 1 11.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.297 * [backup-simplify]: Simplify (+ 0 0) into 0 11.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.298 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 11.298 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 11.298 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 11.298 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 11.298 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.298 * [taylor]: Taking taylor expansion of re in re 11.298 * [backup-simplify]: Simplify 0 into 0 11.298 * [backup-simplify]: Simplify 1 into 1 11.298 * [backup-simplify]: Simplify (/ 1 1) into 1 11.298 * [taylor]: Taking taylor expansion of (/ 1 re) in re 11.298 * [taylor]: Taking taylor expansion of re in re 11.299 * [backup-simplify]: Simplify 0 into 0 11.299 * [backup-simplify]: Simplify 1 into 1 11.299 * [backup-simplify]: Simplify (/ 1 1) into 1 11.299 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 11.299 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.299 * [taylor]: Taking taylor expansion of im in re 11.299 * [backup-simplify]: Simplify im into im 11.299 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.299 * [taylor]: Taking taylor expansion of (/ 1 im) in re 11.299 * [taylor]: Taking taylor expansion of im in re 11.299 * [backup-simplify]: Simplify im into im 11.299 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 11.300 * [backup-simplify]: Simplify (* 1 1) into 1 11.300 * [backup-simplify]: Simplify (+ 1 0) into 1 11.300 * [backup-simplify]: Simplify (sqrt 1) into 1 11.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.304 * [backup-simplify]: Simplify (+ 0 0) into 0 11.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.304 * [taylor]: Taking taylor expansion of 1 in im 11.305 * [backup-simplify]: Simplify 1 into 1 11.305 * [taylor]: Taking taylor expansion of 0 in im 11.305 * [backup-simplify]: Simplify 0 into 0 11.305 * [backup-simplify]: Simplify 1 into 1 11.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.308 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 11.308 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.310 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.310 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.310 * [taylor]: Taking taylor expansion of 1/2 in im 11.310 * [backup-simplify]: Simplify 1/2 into 1/2 11.310 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.310 * [taylor]: Taking taylor expansion of im in im 11.310 * [backup-simplify]: Simplify 0 into 0 11.310 * [backup-simplify]: Simplify 1 into 1 11.310 * [backup-simplify]: Simplify (* 1 1) into 1 11.311 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.312 * [backup-simplify]: Simplify 0 into 0 11.313 * [backup-simplify]: Simplify 0 into 0 11.313 * [backup-simplify]: Simplify 0 into 0 11.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 11.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 11.316 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 11.316 * [backup-simplify]: Simplify (+ 0 0) into 0 11.317 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.317 * [taylor]: Taking taylor expansion of 0 in im 11.317 * [backup-simplify]: Simplify 0 into 0 11.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.319 * [backup-simplify]: Simplify 0 into 0 11.319 * [backup-simplify]: Simplify 0 into 0 11.319 * [backup-simplify]: Simplify 0 into 0 11.319 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 11.320 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 11.320 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 11.320 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 11.320 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.320 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 11.320 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 11.320 * [taylor]: Taking taylor expansion of (/ -1 re) in im 11.320 * [taylor]: Taking taylor expansion of -1 in im 11.320 * [backup-simplify]: Simplify -1 into -1 11.320 * [taylor]: Taking taylor expansion of re in im 11.320 * [backup-simplify]: Simplify re into re 11.320 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 11.320 * [taylor]: Taking taylor expansion of (/ -1 re) in im 11.320 * [taylor]: Taking taylor expansion of -1 in im 11.320 * [backup-simplify]: Simplify -1 into -1 11.320 * [taylor]: Taking taylor expansion of re in im 11.320 * [backup-simplify]: Simplify re into re 11.320 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 11.320 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 11.320 * [taylor]: Taking taylor expansion of (/ -1 im) in im 11.320 * [taylor]: Taking taylor expansion of -1 in im 11.320 * [backup-simplify]: Simplify -1 into -1 11.320 * [taylor]: Taking taylor expansion of im in im 11.320 * [backup-simplify]: Simplify 0 into 0 11.320 * [backup-simplify]: Simplify 1 into 1 11.321 * [backup-simplify]: Simplify (/ -1 1) into -1 11.321 * [taylor]: Taking taylor expansion of (/ -1 im) in im 11.321 * [taylor]: Taking taylor expansion of -1 in im 11.321 * [backup-simplify]: Simplify -1 into -1 11.321 * [taylor]: Taking taylor expansion of im in im 11.321 * [backup-simplify]: Simplify 0 into 0 11.321 * [backup-simplify]: Simplify 1 into 1 11.322 * [backup-simplify]: Simplify (/ -1 1) into -1 11.322 * [backup-simplify]: Simplify (* -1 -1) into 1 11.323 * [backup-simplify]: Simplify (+ 0 1) into 1 11.323 * [backup-simplify]: Simplify (sqrt 1) into 1 11.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.325 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.326 * [backup-simplify]: Simplify (+ 0 0) into 0 11.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.327 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 11.327 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.327 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 11.327 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 11.327 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.327 * [taylor]: Taking taylor expansion of -1 in re 11.327 * [backup-simplify]: Simplify -1 into -1 11.327 * [taylor]: Taking taylor expansion of re in re 11.327 * [backup-simplify]: Simplify 0 into 0 11.327 * [backup-simplify]: Simplify 1 into 1 11.327 * [backup-simplify]: Simplify (/ -1 1) into -1 11.327 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.327 * [taylor]: Taking taylor expansion of -1 in re 11.327 * [backup-simplify]: Simplify -1 into -1 11.327 * [taylor]: Taking taylor expansion of re in re 11.328 * [backup-simplify]: Simplify 0 into 0 11.328 * [backup-simplify]: Simplify 1 into 1 11.328 * [backup-simplify]: Simplify (/ -1 1) into -1 11.328 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 11.328 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.328 * [taylor]: Taking taylor expansion of -1 in re 11.328 * [backup-simplify]: Simplify -1 into -1 11.328 * [taylor]: Taking taylor expansion of im in re 11.328 * [backup-simplify]: Simplify im into im 11.328 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.328 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.328 * [taylor]: Taking taylor expansion of -1 in re 11.328 * [backup-simplify]: Simplify -1 into -1 11.328 * [taylor]: Taking taylor expansion of im in re 11.328 * [backup-simplify]: Simplify im into im 11.328 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.329 * [backup-simplify]: Simplify (* -1 -1) into 1 11.329 * [backup-simplify]: Simplify (+ 1 0) into 1 11.330 * [backup-simplify]: Simplify (sqrt 1) into 1 11.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.332 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.332 * [backup-simplify]: Simplify (+ 0 0) into 0 11.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.333 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 11.333 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 11.333 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 11.333 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 11.333 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.333 * [taylor]: Taking taylor expansion of -1 in re 11.333 * [backup-simplify]: Simplify -1 into -1 11.333 * [taylor]: Taking taylor expansion of re in re 11.333 * [backup-simplify]: Simplify 0 into 0 11.333 * [backup-simplify]: Simplify 1 into 1 11.334 * [backup-simplify]: Simplify (/ -1 1) into -1 11.334 * [taylor]: Taking taylor expansion of (/ -1 re) in re 11.334 * [taylor]: Taking taylor expansion of -1 in re 11.334 * [backup-simplify]: Simplify -1 into -1 11.334 * [taylor]: Taking taylor expansion of re in re 11.334 * [backup-simplify]: Simplify 0 into 0 11.334 * [backup-simplify]: Simplify 1 into 1 11.334 * [backup-simplify]: Simplify (/ -1 1) into -1 11.334 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 11.335 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.335 * [taylor]: Taking taylor expansion of -1 in re 11.335 * [backup-simplify]: Simplify -1 into -1 11.335 * [taylor]: Taking taylor expansion of im in re 11.335 * [backup-simplify]: Simplify im into im 11.335 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.335 * [taylor]: Taking taylor expansion of (/ -1 im) in re 11.335 * [taylor]: Taking taylor expansion of -1 in re 11.335 * [backup-simplify]: Simplify -1 into -1 11.335 * [taylor]: Taking taylor expansion of im in re 11.335 * [backup-simplify]: Simplify im into im 11.335 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 11.335 * [backup-simplify]: Simplify (* -1 -1) into 1 11.336 * [backup-simplify]: Simplify (+ 1 0) into 1 11.336 * [backup-simplify]: Simplify (sqrt 1) into 1 11.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.339 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 11.339 * [backup-simplify]: Simplify (+ 0 0) into 0 11.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.340 * [taylor]: Taking taylor expansion of 1 in im 11.340 * [backup-simplify]: Simplify 1 into 1 11.340 * [taylor]: Taking taylor expansion of 0 in im 11.340 * [backup-simplify]: Simplify 0 into 0 11.340 * [backup-simplify]: Simplify 1 into 1 11.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.343 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 11.343 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 11.343 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 11.345 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.345 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.345 * [taylor]: Taking taylor expansion of 1/2 in im 11.345 * [backup-simplify]: Simplify 1/2 into 1/2 11.345 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.345 * [taylor]: Taking taylor expansion of im in im 11.345 * [backup-simplify]: Simplify 0 into 0 11.345 * [backup-simplify]: Simplify 1 into 1 11.345 * [backup-simplify]: Simplify (* 1 1) into 1 11.346 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.347 * [backup-simplify]: Simplify 0 into 0 11.347 * [backup-simplify]: Simplify 0 into 0 11.347 * [backup-simplify]: Simplify 0 into 0 11.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.350 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 11.351 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 11.351 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 11.351 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 11.351 * [backup-simplify]: Simplify (+ 0 0) into 0 11.352 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.352 * [taylor]: Taking taylor expansion of 0 in im 11.352 * [backup-simplify]: Simplify 0 into 0 11.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.354 * [backup-simplify]: Simplify 0 into 0 11.354 * [backup-simplify]: Simplify 0 into 0 11.354 * [backup-simplify]: Simplify 0 into 0 11.354 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 11.354 * * * [progress]: simplifying candidates 11.357 * [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) 11.361 * * [simplify]: Extracting # 0 : cost 0 11.362 * * [simplify]: Extracting # 1 : cost 0 11.362 * * [simplify]: Extracting # 2 : cost 0 11.362 * * [simplify]: Extracting # 3 : cost 0 11.363 * * [simplify]: Extracting # 4 : cost 0 11.363 * * [simplify]: Extracting # 5 : cost 0 11.363 * * [simplify]: Extracting # 6 : cost 0 11.364 * * [simplify]: Extracting # 7 : cost 0 11.364 * * [simplify]: Extracting # 8 : cost 0 11.364 * * [simplify]: Extracting # 9 : cost 0 11.365 * * [simplify]: Extracting # 10 : cost 0 11.365 * * [simplify]: Extracting # 11 : cost 0 11.365 * * [simplify]: iteration 0 : 157 enodes (cost 1408 ) 11.425 * * [simplify]: Extracting # 0 : cost 0 11.425 * * [simplify]: Extracting # 1 : cost 0 11.426 * * [simplify]: Extracting # 2 : cost 0 11.426 * * [simplify]: Extracting # 3 : cost 0 11.426 * * [simplify]: Extracting # 4 : cost 0 11.427 * * [simplify]: iteration 1 : 375 enodes (cost 1181 ) 11.641 * * [simplify]: Extracting # 0 : cost 0 11.644 * * [simplify]: Extracting # 1 : cost 0 11.645 * * [simplify]: Extracting # 2 : cost 0 11.646 * * [simplify]: Extracting # 3 : cost 0 11.647 * * [simplify]: Extracting # 4 : cost 0 11.649 * * [simplify]: iteration 2 : 1087 enodes (cost 1086 ) 12.904 * * [simplify]: Extracting # 0 : cost 0 12.908 * * [simplify]: Extracting # 1 : cost 0 12.915 * * [simplify]: Extracting # 2 : cost 0 12.919 * * [simplify]: Extracting # 3 : cost 0 12.922 * * [simplify]: Extracting # 4 : cost 0 12.925 * * [simplify]: iteration 3 : 3349 enodes (cost 1074 ) 14.311 * * [simplify]: Extracting # 0 : cost 0 14.316 * * [simplify]: Extracting # 1 : cost 0 14.322 * * [simplify]: Extracting # 2 : cost 0 14.327 * * [simplify]: iteration done: 5000 enodes (cost 1071 ) 14.328 * [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) 14.328 * * * [progress]: adding candidates to table 14.817 * * [progress]: iteration 4 / 4 14.818 * * * [progress]: picking best candidate 14.859 * * * * [pick]: Picked # 14.860 * * * [progress]: localizing error 14.887 * * * [progress]: generating rewritten candidates 14.888 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 14.900 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 14.921 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 2) 14.923 * * * [progress]: generating series expansions 14.923 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 14.923 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ re (hypot re im)) 14.923 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 14.923 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 14.923 * [taylor]: Taking taylor expansion of re in im 14.923 * [backup-simplify]: Simplify re into re 14.923 * [taylor]: Taking taylor expansion of (hypot re im) in im 14.924 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 14.924 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 14.924 * [taylor]: Taking taylor expansion of (* re re) in im 14.924 * [taylor]: Taking taylor expansion of re in im 14.924 * [backup-simplify]: Simplify re into re 14.924 * [taylor]: Taking taylor expansion of re in im 14.924 * [backup-simplify]: Simplify re into re 14.924 * [taylor]: Taking taylor expansion of (* im im) in im 14.924 * [taylor]: Taking taylor expansion of im in im 14.924 * [backup-simplify]: Simplify 0 into 0 14.924 * [backup-simplify]: Simplify 1 into 1 14.924 * [taylor]: Taking taylor expansion of im in im 14.924 * [backup-simplify]: Simplify 0 into 0 14.924 * [backup-simplify]: Simplify 1 into 1 14.924 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.933 * [backup-simplify]: Simplify (* 0 0) into 0 14.933 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 14.934 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 14.934 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 14.935 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 14.935 * [backup-simplify]: Simplify (+ 0 0) into 0 14.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 14.935 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 14.935 * [taylor]: Taking taylor expansion of re in re 14.935 * [backup-simplify]: Simplify 0 into 0 14.936 * [backup-simplify]: Simplify 1 into 1 14.936 * [taylor]: Taking taylor expansion of (hypot re im) in re 14.936 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 14.936 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 14.936 * [taylor]: Taking taylor expansion of (* re re) in re 14.936 * [taylor]: Taking taylor expansion of re in re 14.936 * [backup-simplify]: Simplify 0 into 0 14.936 * [backup-simplify]: Simplify 1 into 1 14.936 * [taylor]: Taking taylor expansion of re in re 14.936 * [backup-simplify]: Simplify 0 into 0 14.936 * [backup-simplify]: Simplify 1 into 1 14.936 * [taylor]: Taking taylor expansion of (* im im) in re 14.936 * [taylor]: Taking taylor expansion of im in re 14.936 * [backup-simplify]: Simplify im into im 14.936 * [taylor]: Taking taylor expansion of im in re 14.936 * [backup-simplify]: Simplify im into im 14.937 * [backup-simplify]: Simplify (* 0 0) into 0 14.937 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.937 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 14.937 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.938 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 14.938 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.938 * [backup-simplify]: Simplify (+ 0 0) into 0 14.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.938 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 14.938 * [taylor]: Taking taylor expansion of re in re 14.938 * [backup-simplify]: Simplify 0 into 0 14.938 * [backup-simplify]: Simplify 1 into 1 14.938 * [taylor]: Taking taylor expansion of (hypot re im) in re 14.939 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 14.939 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 14.939 * [taylor]: Taking taylor expansion of (* re re) in re 14.939 * [taylor]: Taking taylor expansion of re in re 14.939 * [backup-simplify]: Simplify 0 into 0 14.939 * [backup-simplify]: Simplify 1 into 1 14.939 * [taylor]: Taking taylor expansion of re in re 14.939 * [backup-simplify]: Simplify 0 into 0 14.939 * [backup-simplify]: Simplify 1 into 1 14.939 * [taylor]: Taking taylor expansion of (* im im) in re 14.939 * [taylor]: Taking taylor expansion of im in re 14.939 * [backup-simplify]: Simplify im into im 14.939 * [taylor]: Taking taylor expansion of im in re 14.939 * [backup-simplify]: Simplify im into im 14.940 * [backup-simplify]: Simplify (* 0 0) into 0 14.940 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.940 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 14.940 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.940 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 14.940 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.941 * [backup-simplify]: Simplify (+ 0 0) into 0 14.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.941 * [backup-simplify]: Simplify (+ 0 im) into im 14.941 * [taylor]: Taking taylor expansion of im in im 14.941 * [backup-simplify]: Simplify 0 into 0 14.941 * [backup-simplify]: Simplify 1 into 1 14.941 * [backup-simplify]: Simplify 0 into 0 14.941 * [backup-simplify]: Simplify (+ 1 0) into 1 14.941 * [taylor]: Taking taylor expansion of 1 in im 14.941 * [backup-simplify]: Simplify 1 into 1 14.941 * [backup-simplify]: Simplify 1 into 1 14.941 * [backup-simplify]: Simplify 1 into 1 14.942 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 14.942 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 14.942 * [backup-simplify]: Simplify (+ 1 0) into 1 14.943 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 14.943 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 14.943 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 14.943 * [taylor]: Taking taylor expansion of 1/2 in im 14.943 * [backup-simplify]: Simplify 1/2 into 1/2 14.943 * [taylor]: Taking taylor expansion of (/ 1 im) in im 14.943 * [taylor]: Taking taylor expansion of im in im 14.943 * [backup-simplify]: Simplify 0 into 0 14.943 * [backup-simplify]: Simplify 1 into 1 14.943 * [backup-simplify]: Simplify (/ 1 1) into 1 14.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.944 * [backup-simplify]: Simplify 0 into 0 14.944 * [backup-simplify]: Simplify 0 into 0 14.944 * [backup-simplify]: Simplify 0 into 0 14.945 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 14.946 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 14.946 * [backup-simplify]: Simplify (+ 0 0) into 0 14.946 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 14.946 * [backup-simplify]: Simplify (+ 0 0) into 0 14.946 * [taylor]: Taking taylor expansion of 0 in im 14.946 * [backup-simplify]: Simplify 0 into 0 14.946 * [backup-simplify]: Simplify 0 into 0 14.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 14.947 * [backup-simplify]: Simplify 0 into 0 14.947 * [backup-simplify]: Simplify 0 into 0 14.947 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 14.948 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 14.948 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 14.948 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 14.948 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 14.948 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 14.948 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 14.948 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 14.948 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.948 * [taylor]: Taking taylor expansion of re in im 14.948 * [backup-simplify]: Simplify re into re 14.948 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.948 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.948 * [taylor]: Taking taylor expansion of re in im 14.948 * [backup-simplify]: Simplify re into re 14.948 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.948 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 14.948 * [taylor]: Taking taylor expansion of (/ 1 im) in im 14.948 * [taylor]: Taking taylor expansion of im in im 14.948 * [backup-simplify]: Simplify 0 into 0 14.948 * [backup-simplify]: Simplify 1 into 1 14.948 * [backup-simplify]: Simplify (/ 1 1) into 1 14.948 * [taylor]: Taking taylor expansion of (/ 1 im) in im 14.948 * [taylor]: Taking taylor expansion of im in im 14.948 * [backup-simplify]: Simplify 0 into 0 14.948 * [backup-simplify]: Simplify 1 into 1 14.949 * [backup-simplify]: Simplify (/ 1 1) into 1 14.949 * [backup-simplify]: Simplify (* 1 1) into 1 14.949 * [backup-simplify]: Simplify (+ 0 1) into 1 14.949 * [backup-simplify]: Simplify (sqrt 1) into 1 14.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.951 * [backup-simplify]: Simplify (+ 0 0) into 0 14.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.951 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.951 * [taylor]: Taking taylor expansion of re in im 14.951 * [backup-simplify]: Simplify re into re 14.951 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.951 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 14.952 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 14.952 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 14.952 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 14.952 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 14.952 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.952 * [taylor]: Taking taylor expansion of re in re 14.952 * [backup-simplify]: Simplify 0 into 0 14.952 * [backup-simplify]: Simplify 1 into 1 14.952 * [backup-simplify]: Simplify (/ 1 1) into 1 14.952 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.952 * [taylor]: Taking taylor expansion of re in re 14.952 * [backup-simplify]: Simplify 0 into 0 14.952 * [backup-simplify]: Simplify 1 into 1 14.952 * [backup-simplify]: Simplify (/ 1 1) into 1 14.952 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 14.952 * [taylor]: Taking taylor expansion of (/ 1 im) in re 14.952 * [taylor]: Taking taylor expansion of im in re 14.952 * [backup-simplify]: Simplify im into im 14.952 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 14.952 * [taylor]: Taking taylor expansion of (/ 1 im) in re 14.952 * [taylor]: Taking taylor expansion of im in re 14.952 * [backup-simplify]: Simplify im into im 14.953 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 14.953 * [backup-simplify]: Simplify (* 1 1) into 1 14.953 * [backup-simplify]: Simplify (+ 1 0) into 1 14.953 * [backup-simplify]: Simplify (sqrt 1) into 1 14.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.955 * [backup-simplify]: Simplify (+ 0 0) into 0 14.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.955 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.955 * [taylor]: Taking taylor expansion of re in re 14.955 * [backup-simplify]: Simplify 0 into 0 14.955 * [backup-simplify]: Simplify 1 into 1 14.955 * [backup-simplify]: Simplify (/ 1 1) into 1 14.956 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 14.956 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 14.956 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 14.956 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 14.956 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 14.956 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.956 * [taylor]: Taking taylor expansion of re in re 14.956 * [backup-simplify]: Simplify 0 into 0 14.956 * [backup-simplify]: Simplify 1 into 1 14.956 * [backup-simplify]: Simplify (/ 1 1) into 1 14.956 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.956 * [taylor]: Taking taylor expansion of re in re 14.956 * [backup-simplify]: Simplify 0 into 0 14.956 * [backup-simplify]: Simplify 1 into 1 14.956 * [backup-simplify]: Simplify (/ 1 1) into 1 14.956 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 14.956 * [taylor]: Taking taylor expansion of (/ 1 im) in re 14.956 * [taylor]: Taking taylor expansion of im in re 14.956 * [backup-simplify]: Simplify im into im 14.956 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 14.956 * [taylor]: Taking taylor expansion of (/ 1 im) in re 14.956 * [taylor]: Taking taylor expansion of im in re 14.957 * [backup-simplify]: Simplify im into im 14.957 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 14.957 * [backup-simplify]: Simplify (* 1 1) into 1 14.957 * [backup-simplify]: Simplify (+ 1 0) into 1 14.957 * [backup-simplify]: Simplify (sqrt 1) into 1 14.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.959 * [backup-simplify]: Simplify (+ 0 0) into 0 14.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.959 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.959 * [taylor]: Taking taylor expansion of re in re 14.959 * [backup-simplify]: Simplify 0 into 0 14.959 * [backup-simplify]: Simplify 1 into 1 14.959 * [backup-simplify]: Simplify (/ 1 1) into 1 14.960 * [backup-simplify]: Simplify (+ 1 1) into 2 14.960 * [taylor]: Taking taylor expansion of 2 in im 14.960 * [backup-simplify]: Simplify 2 into 2 14.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.961 * [backup-simplify]: Simplify (+ 0 0) into 0 14.961 * [taylor]: Taking taylor expansion of 0 in im 14.961 * [backup-simplify]: Simplify 0 into 0 14.961 * [backup-simplify]: Simplify 2 into 2 14.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.962 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 14.962 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.963 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.964 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 14.964 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 14.964 * [taylor]: Taking taylor expansion of 1/2 in im 14.964 * [backup-simplify]: Simplify 1/2 into 1/2 14.964 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.964 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.964 * [taylor]: Taking taylor expansion of im in im 14.964 * [backup-simplify]: Simplify 0 into 0 14.964 * [backup-simplify]: Simplify 1 into 1 14.964 * [backup-simplify]: Simplify (* 1 1) into 1 14.965 * [backup-simplify]: Simplify (/ 1 1) into 1 14.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.966 * [backup-simplify]: Simplify 0 into 0 14.966 * [backup-simplify]: Simplify 0 into 0 14.966 * [backup-simplify]: Simplify 0 into 0 14.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 14.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 14.968 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 14.968 * [backup-simplify]: Simplify (+ 0 0) into 0 14.969 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.970 * [backup-simplify]: Simplify (+ 0 0) into 0 14.970 * [taylor]: Taking taylor expansion of 0 in im 14.970 * [backup-simplify]: Simplify 0 into 0 14.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 14.971 * [backup-simplify]: Simplify 0 into 0 14.972 * [backup-simplify]: Simplify 0 into 0 14.972 * [backup-simplify]: Simplify 0 into 0 14.972 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 14.972 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 14.972 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 14.972 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 14.972 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 14.972 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 14.972 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 14.972 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 14.972 * [taylor]: Taking taylor expansion of (/ -1 re) in im 14.972 * [taylor]: Taking taylor expansion of -1 in im 14.972 * [backup-simplify]: Simplify -1 into -1 14.972 * [taylor]: Taking taylor expansion of re in im 14.972 * [backup-simplify]: Simplify re into re 14.972 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 14.972 * [taylor]: Taking taylor expansion of (/ -1 re) in im 14.972 * [taylor]: Taking taylor expansion of -1 in im 14.972 * [backup-simplify]: Simplify -1 into -1 14.972 * [taylor]: Taking taylor expansion of re in im 14.972 * [backup-simplify]: Simplify re into re 14.972 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 14.972 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 14.972 * [taylor]: Taking taylor expansion of (/ -1 im) in im 14.972 * [taylor]: Taking taylor expansion of -1 in im 14.972 * [backup-simplify]: Simplify -1 into -1 14.972 * [taylor]: Taking taylor expansion of im in im 14.972 * [backup-simplify]: Simplify 0 into 0 14.972 * [backup-simplify]: Simplify 1 into 1 14.973 * [backup-simplify]: Simplify (/ -1 1) into -1 14.973 * [taylor]: Taking taylor expansion of (/ -1 im) in im 14.973 * [taylor]: Taking taylor expansion of -1 in im 14.973 * [backup-simplify]: Simplify -1 into -1 14.973 * [taylor]: Taking taylor expansion of im in im 14.973 * [backup-simplify]: Simplify 0 into 0 14.973 * [backup-simplify]: Simplify 1 into 1 14.973 * [backup-simplify]: Simplify (/ -1 1) into -1 14.973 * [backup-simplify]: Simplify (* -1 -1) into 1 14.974 * [backup-simplify]: Simplify (+ 0 1) into 1 14.974 * [backup-simplify]: Simplify (sqrt 1) into 1 14.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.976 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.976 * [backup-simplify]: Simplify (+ 0 0) into 0 14.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.976 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.976 * [taylor]: Taking taylor expansion of re in im 14.976 * [backup-simplify]: Simplify re into re 14.977 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.977 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 14.977 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 14.977 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 14.977 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 14.977 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 14.977 * [taylor]: Taking taylor expansion of (/ -1 re) in re 14.977 * [taylor]: Taking taylor expansion of -1 in re 14.977 * [backup-simplify]: Simplify -1 into -1 14.977 * [taylor]: Taking taylor expansion of re in re 14.977 * [backup-simplify]: Simplify 0 into 0 14.977 * [backup-simplify]: Simplify 1 into 1 14.977 * [backup-simplify]: Simplify (/ -1 1) into -1 14.977 * [taylor]: Taking taylor expansion of (/ -1 re) in re 14.977 * [taylor]: Taking taylor expansion of -1 in re 14.977 * [backup-simplify]: Simplify -1 into -1 14.977 * [taylor]: Taking taylor expansion of re in re 14.977 * [backup-simplify]: Simplify 0 into 0 14.977 * [backup-simplify]: Simplify 1 into 1 14.978 * [backup-simplify]: Simplify (/ -1 1) into -1 14.978 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 14.978 * [taylor]: Taking taylor expansion of (/ -1 im) in re 14.978 * [taylor]: Taking taylor expansion of -1 in re 14.978 * [backup-simplify]: Simplify -1 into -1 14.978 * [taylor]: Taking taylor expansion of im in re 14.978 * [backup-simplify]: Simplify im into im 14.978 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 14.978 * [taylor]: Taking taylor expansion of (/ -1 im) in re 14.978 * [taylor]: Taking taylor expansion of -1 in re 14.978 * [backup-simplify]: Simplify -1 into -1 14.978 * [taylor]: Taking taylor expansion of im in re 14.978 * [backup-simplify]: Simplify im into im 14.978 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 14.978 * [backup-simplify]: Simplify (* -1 -1) into 1 14.978 * [backup-simplify]: Simplify (+ 1 0) into 1 14.979 * [backup-simplify]: Simplify (sqrt 1) into 1 14.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.980 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.981 * [backup-simplify]: Simplify (+ 0 0) into 0 14.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.981 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.981 * [taylor]: Taking taylor expansion of re in re 14.981 * [backup-simplify]: Simplify 0 into 0 14.981 * [backup-simplify]: Simplify 1 into 1 14.981 * [backup-simplify]: Simplify (/ 1 1) into 1 14.981 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 14.981 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 14.982 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 14.982 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 14.982 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 14.982 * [taylor]: Taking taylor expansion of (/ -1 re) in re 14.982 * [taylor]: Taking taylor expansion of -1 in re 14.982 * [backup-simplify]: Simplify -1 into -1 14.982 * [taylor]: Taking taylor expansion of re in re 14.982 * [backup-simplify]: Simplify 0 into 0 14.982 * [backup-simplify]: Simplify 1 into 1 14.982 * [backup-simplify]: Simplify (/ -1 1) into -1 14.982 * [taylor]: Taking taylor expansion of (/ -1 re) in re 14.982 * [taylor]: Taking taylor expansion of -1 in re 14.982 * [backup-simplify]: Simplify -1 into -1 14.982 * [taylor]: Taking taylor expansion of re in re 14.982 * [backup-simplify]: Simplify 0 into 0 14.982 * [backup-simplify]: Simplify 1 into 1 14.982 * [backup-simplify]: Simplify (/ -1 1) into -1 14.982 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 14.982 * [taylor]: Taking taylor expansion of (/ -1 im) in re 14.982 * [taylor]: Taking taylor expansion of -1 in re 14.982 * [backup-simplify]: Simplify -1 into -1 14.982 * [taylor]: Taking taylor expansion of im in re 14.983 * [backup-simplify]: Simplify im into im 14.983 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 14.983 * [taylor]: Taking taylor expansion of (/ -1 im) in re 14.983 * [taylor]: Taking taylor expansion of -1 in re 14.983 * [backup-simplify]: Simplify -1 into -1 14.983 * [taylor]: Taking taylor expansion of im in re 14.983 * [backup-simplify]: Simplify im into im 14.983 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 14.983 * [backup-simplify]: Simplify (* -1 -1) into 1 14.983 * [backup-simplify]: Simplify (+ 1 0) into 1 14.984 * [backup-simplify]: Simplify (sqrt 1) into 1 14.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.985 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.985 * [backup-simplify]: Simplify (+ 0 0) into 0 14.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.986 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.986 * [taylor]: Taking taylor expansion of re in re 14.986 * [backup-simplify]: Simplify 0 into 0 14.986 * [backup-simplify]: Simplify 1 into 1 14.986 * [backup-simplify]: Simplify (/ 1 1) into 1 14.986 * [backup-simplify]: Simplify (- 1) into -1 14.987 * [backup-simplify]: Simplify (+ 1 -1) into 0 14.987 * [taylor]: Taking taylor expansion of 0 in im 14.987 * [backup-simplify]: Simplify 0 into 0 14.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.988 * [backup-simplify]: Simplify (- 0) into 0 14.988 * [backup-simplify]: Simplify (+ 0 0) into 0 14.988 * [taylor]: Taking taylor expansion of 0 in im 14.988 * [backup-simplify]: Simplify 0 into 0 14.988 * [backup-simplify]: Simplify 0 into 0 14.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.990 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 14.990 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 14.990 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.991 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.992 * [backup-simplify]: Simplify (- 0) into 0 14.992 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 14.992 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 14.992 * [taylor]: Taking taylor expansion of 1/2 in im 14.992 * [backup-simplify]: Simplify 1/2 into 1/2 14.992 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.992 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.992 * [taylor]: Taking taylor expansion of im in im 14.992 * [backup-simplify]: Simplify 0 into 0 14.992 * [backup-simplify]: Simplify 1 into 1 14.992 * [backup-simplify]: Simplify (* 1 1) into 1 14.993 * [backup-simplify]: Simplify (/ 1 1) into 1 14.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.994 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.994 * [backup-simplify]: Simplify 0 into 0 14.994 * [backup-simplify]: Simplify 0 into 0 14.994 * [backup-simplify]: Simplify 0 into 0 14.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.996 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 14.997 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 14.997 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 14.997 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 14.997 * [backup-simplify]: Simplify (+ 0 0) into 0 14.997 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.998 * [backup-simplify]: Simplify (- 0) into 0 14.999 * [backup-simplify]: Simplify (+ 0 0) into 0 14.999 * [taylor]: Taking taylor expansion of 0 in im 14.999 * [backup-simplify]: Simplify 0 into 0 14.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.000 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 15.001 * [backup-simplify]: Simplify 0 into 0 15.001 * [backup-simplify]: Simplify 0 into 0 15.001 * [backup-simplify]: Simplify 0 into 0 15.001 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 15.001 * [backup-simplify]: Simplify (pow (* (+ re (hypot re im)) 2.0) 1/2) into (pow (* 2.0 (+ re (hypot re im))) 1/2) 15.001 * [approximate]: Taking taylor expansion of (pow (* 2.0 (+ re (hypot re im))) 1/2) in (re im) around 0 15.001 * [taylor]: Taking taylor expansion of (pow (* 2.0 (+ re (hypot re im))) 1/2) in im 15.001 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (+ re (hypot re im)))))) in im 15.001 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (+ re (hypot re im))))) in im 15.001 * [taylor]: Taking taylor expansion of 1/2 in im 15.001 * [backup-simplify]: Simplify 1/2 into 1/2 15.001 * [taylor]: Taking taylor expansion of (log (* 2.0 (+ re (hypot re im)))) in im 15.001 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (hypot re im))) in im 15.001 * [taylor]: Taking taylor expansion of 2.0 in im 15.001 * [backup-simplify]: Simplify 2.0 into 2.0 15.001 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 15.001 * [taylor]: Taking taylor expansion of re in im 15.001 * [backup-simplify]: Simplify re into re 15.001 * [taylor]: Taking taylor expansion of (hypot re im) in im 15.001 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.001 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 15.001 * [taylor]: Taking taylor expansion of (* re re) in im 15.001 * [taylor]: Taking taylor expansion of re in im 15.001 * [backup-simplify]: Simplify re into re 15.001 * [taylor]: Taking taylor expansion of re in im 15.001 * [backup-simplify]: Simplify re into re 15.001 * [taylor]: Taking taylor expansion of (* im im) in im 15.001 * [taylor]: Taking taylor expansion of im in im 15.001 * [backup-simplify]: Simplify 0 into 0 15.001 * [backup-simplify]: Simplify 1 into 1 15.001 * [taylor]: Taking taylor expansion of im in im 15.001 * [backup-simplify]: Simplify 0 into 0 15.002 * [backup-simplify]: Simplify 1 into 1 15.002 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.002 * [backup-simplify]: Simplify (* 0 0) into 0 15.002 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 15.002 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 15.002 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.003 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.003 * [backup-simplify]: Simplify (+ 0 0) into 0 15.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 15.003 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 15.003 * [backup-simplify]: Simplify (* 2.0 (* 2 re)) into (* 4.0 re) 15.003 * [backup-simplify]: Simplify (log (* 4.0 re)) into (log (* 4.0 re)) 15.003 * [backup-simplify]: Simplify (* 1/2 (log (* 4.0 re))) into (* 1/2 (log (* 4.0 re))) 15.003 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 4.0 re)))) into (pow (* 4.0 re) 1/2) 15.003 * [taylor]: Taking taylor expansion of (pow (* 2.0 (+ re (hypot re im))) 1/2) in re 15.003 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (+ re (hypot re im)))))) in re 15.003 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (+ re (hypot re im))))) in re 15.003 * [taylor]: Taking taylor expansion of 1/2 in re 15.003 * [backup-simplify]: Simplify 1/2 into 1/2 15.003 * [taylor]: Taking taylor expansion of (log (* 2.0 (+ re (hypot re im)))) in re 15.003 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (hypot re im))) in re 15.003 * [taylor]: Taking taylor expansion of 2.0 in re 15.003 * [backup-simplify]: Simplify 2.0 into 2.0 15.003 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 15.003 * [taylor]: Taking taylor expansion of re in re 15.003 * [backup-simplify]: Simplify 0 into 0 15.003 * [backup-simplify]: Simplify 1 into 1 15.003 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.004 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.004 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.004 * [taylor]: Taking taylor expansion of (* re re) in re 15.004 * [taylor]: Taking taylor expansion of re in re 15.004 * [backup-simplify]: Simplify 0 into 0 15.004 * [backup-simplify]: Simplify 1 into 1 15.004 * [taylor]: Taking taylor expansion of re in re 15.004 * [backup-simplify]: Simplify 0 into 0 15.004 * [backup-simplify]: Simplify 1 into 1 15.004 * [taylor]: Taking taylor expansion of (* im im) in re 15.004 * [taylor]: Taking taylor expansion of im in re 15.004 * [backup-simplify]: Simplify im into im 15.004 * [taylor]: Taking taylor expansion of im in re 15.004 * [backup-simplify]: Simplify im into im 15.004 * [backup-simplify]: Simplify (* 0 0) into 0 15.004 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.004 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.004 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.005 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.005 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.005 * [backup-simplify]: Simplify (+ 0 0) into 0 15.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.005 * [backup-simplify]: Simplify (+ 0 im) into im 15.005 * [backup-simplify]: Simplify (* 2.0 im) into (* 2.0 im) 15.005 * [backup-simplify]: Simplify (log (* 2.0 im)) into (log (* 2.0 im)) 15.005 * [backup-simplify]: Simplify (* 1/2 (log (* 2.0 im))) into (* 1/2 (log (* 2.0 im))) 15.006 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2.0 im)))) into (pow (* 2.0 im) 1/2) 15.006 * [taylor]: Taking taylor expansion of (pow (* 2.0 (+ re (hypot re im))) 1/2) in re 15.006 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (+ re (hypot re im)))))) in re 15.006 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (+ re (hypot re im))))) in re 15.006 * [taylor]: Taking taylor expansion of 1/2 in re 15.006 * [backup-simplify]: Simplify 1/2 into 1/2 15.006 * [taylor]: Taking taylor expansion of (log (* 2.0 (+ re (hypot re im)))) in re 15.006 * [taylor]: Taking taylor expansion of (* 2.0 (+ re (hypot re im))) in re 15.006 * [taylor]: Taking taylor expansion of 2.0 in re 15.006 * [backup-simplify]: Simplify 2.0 into 2.0 15.006 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 15.006 * [taylor]: Taking taylor expansion of re in re 15.006 * [backup-simplify]: Simplify 0 into 0 15.006 * [backup-simplify]: Simplify 1 into 1 15.006 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.006 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.006 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.006 * [taylor]: Taking taylor expansion of (* re re) in re 15.006 * [taylor]: Taking taylor expansion of re in re 15.006 * [backup-simplify]: Simplify 0 into 0 15.006 * [backup-simplify]: Simplify 1 into 1 15.006 * [taylor]: Taking taylor expansion of re in re 15.006 * [backup-simplify]: Simplify 0 into 0 15.006 * [backup-simplify]: Simplify 1 into 1 15.006 * [taylor]: Taking taylor expansion of (* im im) in re 15.006 * [taylor]: Taking taylor expansion of im in re 15.006 * [backup-simplify]: Simplify im into im 15.006 * [taylor]: Taking taylor expansion of im in re 15.006 * [backup-simplify]: Simplify im into im 15.006 * [backup-simplify]: Simplify (* 0 0) into 0 15.006 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.007 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.007 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.007 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.007 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.007 * [backup-simplify]: Simplify (+ 0 0) into 0 15.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.008 * [backup-simplify]: Simplify (+ 0 im) into im 15.008 * [backup-simplify]: Simplify (* 2.0 im) into (* 2.0 im) 15.008 * [backup-simplify]: Simplify (log (* 2.0 im)) into (log (* 2.0 im)) 15.008 * [backup-simplify]: Simplify (* 1/2 (log (* 2.0 im))) into (* 1/2 (log (* 2.0 im))) 15.008 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2.0 im)))) into (pow (* 2.0 im) 1/2) 15.008 * [taylor]: Taking taylor expansion of (pow (* 2.0 im) 1/2) in im 15.008 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 im)))) in im 15.008 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 im))) in im 15.008 * [taylor]: Taking taylor expansion of 1/2 in im 15.008 * [backup-simplify]: Simplify 1/2 into 1/2 15.008 * [taylor]: Taking taylor expansion of (log (* 2.0 im)) in im 15.008 * [taylor]: Taking taylor expansion of (* 2.0 im) in im 15.008 * [taylor]: Taking taylor expansion of 2.0 in im 15.008 * [backup-simplify]: Simplify 2.0 into 2.0 15.008 * [taylor]: Taking taylor expansion of im in im 15.008 * [backup-simplify]: Simplify 0 into 0 15.008 * [backup-simplify]: Simplify 1 into 1 15.008 * [backup-simplify]: Simplify (* 2.0 0) into 0 15.009 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 15.009 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.010 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) (log 2.0)) into (+ (log 2.0) (log im)) 15.010 * [backup-simplify]: Simplify (* 1/2 (+ (log 2.0) (log im))) into (* 1/2 (+ (log 2.0) (log im))) 15.011 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2.0) (log im)))) into (exp (* 1/2 (+ (log 2.0) (log im)))) 15.011 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2.0) (log im)))) into (exp (* 1/2 (+ (log 2.0) (log im)))) 15.011 * [backup-simplify]: Simplify (+ 1 0) into 1 15.012 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 im)) into 2.0 15.013 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow (* 2.0 im) 1)))) 1) into (/ 1.0 im) 15.013 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1.0 im)) (* 0 (log (* 2.0 im)))) into (* 0.5 (/ 1 im)) 15.013 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2.0 im)))) (+ (* (/ (pow (* 0.5 (/ 1 im)) 1) 1)))) into (* 0.5 (sqrt (/ 2.0 im))) 15.013 * [taylor]: Taking taylor expansion of (* 0.5 (sqrt (/ 2.0 im))) in im 15.013 * [taylor]: Taking taylor expansion of 0.5 in im 15.013 * [backup-simplify]: Simplify 0.5 into 0.5 15.013 * [taylor]: Taking taylor expansion of (sqrt (/ 2.0 im)) in im 15.013 * [taylor]: Taking taylor expansion of (/ 2.0 im) in im 15.013 * [taylor]: Taking taylor expansion of 2.0 in im 15.013 * [backup-simplify]: Simplify 2.0 into 2.0 15.013 * [taylor]: Taking taylor expansion of im in im 15.013 * [backup-simplify]: Simplify 0 into 0 15.013 * [backup-simplify]: Simplify 1 into 1 15.013 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 15.014 * [backup-simplify]: Simplify (sqrt 0) into 0 15.015 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt 0))) into +nan.0 15.016 * [backup-simplify]: Simplify (+ (* 0.5 +nan.0) (* 0 0)) into (- +nan.0) 15.016 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 15.016 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 15.017 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 15.018 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) (log 2.0)) into (+ (log 2.0) (log im)) 15.018 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (log 2.0) (log im)))) into 0 15.019 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2.0) (log im)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.019 * [backup-simplify]: Simplify 0 into 0 15.020 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.020 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 15.020 * [backup-simplify]: Simplify (+ 1 0) into 1 15.021 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 15.021 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 15.021 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 im))) (+ (* 0 1) (* 0 im))) into (* 1.0 (/ 1 im)) 15.023 * [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 15.023 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1.0 im)) (* 0 (log (* 2.0 im))))) into 0 15.024 * [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)))) 15.024 * [taylor]: Taking taylor expansion of (* 0.125 (sqrt (/ 2.0 (pow im 3)))) in im 15.024 * [taylor]: Taking taylor expansion of 0.125 in im 15.024 * [backup-simplify]: Simplify 0.125 into 0.125 15.024 * [taylor]: Taking taylor expansion of (sqrt (/ 2.0 (pow im 3))) in im 15.024 * [taylor]: Taking taylor expansion of (/ 2.0 (pow im 3)) in im 15.024 * [taylor]: Taking taylor expansion of 2.0 in im 15.024 * [backup-simplify]: Simplify 2.0 into 2.0 15.024 * [taylor]: Taking taylor expansion of (pow im 3) in im 15.024 * [taylor]: Taking taylor expansion of im in im 15.024 * [backup-simplify]: Simplify 0 into 0 15.024 * [backup-simplify]: Simplify 1 into 1 15.024 * [backup-simplify]: Simplify (* 1 1) into 1 15.024 * [backup-simplify]: Simplify (* 1 1) into 1 15.025 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 15.025 * [backup-simplify]: Simplify (sqrt 0) into 0 15.026 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt 0))) into +nan.0 15.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0 15.029 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 15.030 * [backup-simplify]: Simplify (+ (* 0.125 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 15.030 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 15.031 * [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)))) 15.031 * [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) 15.031 * [approximate]: Taking taylor expansion of (pow (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) 1/2) in (re im) around 0 15.031 * [taylor]: Taking taylor expansion of (pow (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) 1/2) in im 15.031 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))))) in im 15.032 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in im 15.032 * [taylor]: Taking taylor expansion of 1/2 in im 15.032 * [backup-simplify]: Simplify 1/2 into 1/2 15.032 * [taylor]: Taking taylor expansion of (log (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in im 15.032 * [taylor]: Taking taylor expansion of (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 15.032 * [taylor]: Taking taylor expansion of 2.0 in im 15.032 * [backup-simplify]: Simplify 2.0 into 2.0 15.032 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 15.032 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 15.032 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.032 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 15.032 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 15.032 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.032 * [taylor]: Taking taylor expansion of re in im 15.032 * [backup-simplify]: Simplify re into re 15.032 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.032 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.032 * [taylor]: Taking taylor expansion of re in im 15.032 * [backup-simplify]: Simplify re into re 15.032 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.032 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 15.032 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.032 * [taylor]: Taking taylor expansion of im in im 15.032 * [backup-simplify]: Simplify 0 into 0 15.032 * [backup-simplify]: Simplify 1 into 1 15.032 * [backup-simplify]: Simplify (/ 1 1) into 1 15.032 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.032 * [taylor]: Taking taylor expansion of im in im 15.032 * [backup-simplify]: Simplify 0 into 0 15.032 * [backup-simplify]: Simplify 1 into 1 15.038 * [backup-simplify]: Simplify (/ 1 1) into 1 15.039 * [backup-simplify]: Simplify (* 1 1) into 1 15.039 * [backup-simplify]: Simplify (+ 0 1) into 1 15.040 * [backup-simplify]: Simplify (sqrt 1) into 1 15.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.041 * [backup-simplify]: Simplify (+ 0 0) into 0 15.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.042 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.042 * [taylor]: Taking taylor expansion of re in im 15.042 * [backup-simplify]: Simplify re into re 15.042 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.042 * [backup-simplify]: Simplify (+ 1 0) into 1 15.042 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 15.043 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.043 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) (log 2.0)) into (- (log 2.0) (log im)) 15.043 * [backup-simplify]: Simplify (* 1/2 (- (log 2.0) (log im))) into (* 1/2 (- (log 2.0) (log im))) 15.044 * [backup-simplify]: Simplify (exp (* 1/2 (- (log 2.0) (log im)))) into (exp (* 1/2 (- (log 2.0) (log im)))) 15.044 * [taylor]: Taking taylor expansion of (pow (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) 1/2) in re 15.044 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))))) in re 15.044 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 15.044 * [taylor]: Taking taylor expansion of 1/2 in re 15.044 * [backup-simplify]: Simplify 1/2 into 1/2 15.044 * [taylor]: Taking taylor expansion of (log (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 15.044 * [taylor]: Taking taylor expansion of (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 15.044 * [taylor]: Taking taylor expansion of 2.0 in re 15.044 * [backup-simplify]: Simplify 2.0 into 2.0 15.044 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 15.044 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.044 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.044 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.044 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.044 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.044 * [taylor]: Taking taylor expansion of re in re 15.044 * [backup-simplify]: Simplify 0 into 0 15.044 * [backup-simplify]: Simplify 1 into 1 15.052 * [backup-simplify]: Simplify (/ 1 1) into 1 15.052 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.052 * [taylor]: Taking taylor expansion of re in re 15.052 * [backup-simplify]: Simplify 0 into 0 15.052 * [backup-simplify]: Simplify 1 into 1 15.052 * [backup-simplify]: Simplify (/ 1 1) into 1 15.052 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.052 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.052 * [taylor]: Taking taylor expansion of im in re 15.052 * [backup-simplify]: Simplify im into im 15.052 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.052 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.052 * [taylor]: Taking taylor expansion of im in re 15.052 * [backup-simplify]: Simplify im into im 15.052 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.052 * [backup-simplify]: Simplify (* 1 1) into 1 15.053 * [backup-simplify]: Simplify (+ 1 0) into 1 15.053 * [backup-simplify]: Simplify (sqrt 1) into 1 15.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.055 * [backup-simplify]: Simplify (+ 0 0) into 0 15.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.055 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.055 * [taylor]: Taking taylor expansion of re in re 15.055 * [backup-simplify]: Simplify 0 into 0 15.055 * [backup-simplify]: Simplify 1 into 1 15.055 * [backup-simplify]: Simplify (/ 1 1) into 1 15.056 * [backup-simplify]: Simplify (+ 1 1) into 2 15.056 * [backup-simplify]: Simplify (* 2.0 2) into 4.0 15.056 * [backup-simplify]: Simplify (log 4.0) into (log 4.0) 15.057 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 4.0)) into (- (log 4.0) (log re)) 15.057 * [backup-simplify]: Simplify (* 1/2 (- (log 4.0) (log re))) into (* 1/2 (- (log 4.0) (log re))) 15.057 * [backup-simplify]: Simplify (exp (* 1/2 (- (log 4.0) (log re)))) into (exp (* 1/2 (- (log 4.0) (log re)))) 15.057 * [taylor]: Taking taylor expansion of (pow (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) 1/2) in re 15.057 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))))) in re 15.058 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))))) in re 15.058 * [taylor]: Taking taylor expansion of 1/2 in re 15.058 * [backup-simplify]: Simplify 1/2 into 1/2 15.058 * [taylor]: Taking taylor expansion of (log (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) in re 15.058 * [taylor]: Taking taylor expansion of (* 2.0 (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 15.058 * [taylor]: Taking taylor expansion of 2.0 in re 15.058 * [backup-simplify]: Simplify 2.0 into 2.0 15.058 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 15.058 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.058 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.058 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.058 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.058 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.058 * [taylor]: Taking taylor expansion of re in re 15.058 * [backup-simplify]: Simplify 0 into 0 15.058 * [backup-simplify]: Simplify 1 into 1 15.058 * [backup-simplify]: Simplify (/ 1 1) into 1 15.058 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.058 * [taylor]: Taking taylor expansion of re in re 15.058 * [backup-simplify]: Simplify 0 into 0 15.058 * [backup-simplify]: Simplify 1 into 1 15.059 * [backup-simplify]: Simplify (/ 1 1) into 1 15.059 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.059 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.059 * [taylor]: Taking taylor expansion of im in re 15.059 * [backup-simplify]: Simplify im into im 15.059 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.059 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.059 * [taylor]: Taking taylor expansion of im in re 15.059 * [backup-simplify]: Simplify im into im 15.059 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.059 * [backup-simplify]: Simplify (* 1 1) into 1 15.059 * [backup-simplify]: Simplify (+ 1 0) into 1 15.060 * [backup-simplify]: Simplify (sqrt 1) into 1 15.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.061 * [backup-simplify]: Simplify (+ 0 0) into 0 15.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.062 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.062 * [taylor]: Taking taylor expansion of re in re 15.062 * [backup-simplify]: Simplify 0 into 0 15.062 * [backup-simplify]: Simplify 1 into 1 15.062 * [backup-simplify]: Simplify (/ 1 1) into 1 15.062 * [backup-simplify]: Simplify (+ 1 1) into 2 15.062 * [backup-simplify]: Simplify (* 2.0 2) into 4.0 15.063 * [backup-simplify]: Simplify (log 4.0) into (log 4.0) 15.063 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 4.0)) into (- (log 4.0) (log re)) 15.064 * [backup-simplify]: Simplify (* 1/2 (- (log 4.0) (log re))) into (* 1/2 (- (log 4.0) (log re))) 15.064 * [backup-simplify]: Simplify (exp (* 1/2 (- (log 4.0) (log re)))) into (exp (* 1/2 (- (log 4.0) (log re)))) 15.064 * [taylor]: Taking taylor expansion of (exp (* 1/2 (- (log 4.0) (log re)))) in im 15.064 * [taylor]: Taking taylor expansion of (* 1/2 (- (log 4.0) (log re))) in im 15.064 * [taylor]: Taking taylor expansion of 1/2 in im 15.064 * [backup-simplify]: Simplify 1/2 into 1/2 15.064 * [taylor]: Taking taylor expansion of (- (log 4.0) (log re)) in im 15.064 * [taylor]: Taking taylor expansion of (log 4.0) in im 15.064 * [taylor]: Taking taylor expansion of 4.0 in im 15.064 * [backup-simplify]: Simplify 4.0 into 4.0 15.064 * [backup-simplify]: Simplify (log 4.0) into (log 4.0) 15.064 * [taylor]: Taking taylor expansion of (log re) in im 15.065 * [taylor]: Taking taylor expansion of re in im 15.065 * [backup-simplify]: Simplify re into re 15.065 * [backup-simplify]: Simplify (log re) into (log re) 15.065 * [backup-simplify]: Simplify (- (log re)) into (- (log re)) 15.065 * [backup-simplify]: Simplify (+ (log 4.0) (- (log re))) into (- (log 4.0) (log re)) 15.065 * [backup-simplify]: Simplify (* 1/2 (- (log 4.0) (log re))) into (* 1/2 (- (log 4.0) (log re))) 15.066 * [backup-simplify]: Simplify (exp (* 1/2 (- (log 4.0) (log re)))) into (exp (* 1/2 (- (log 4.0) (log re)))) 15.066 * [backup-simplify]: Simplify (exp (* 1/2 (- (log 4.0) (log re)))) into (exp (* 1/2 (- (log 4.0) (log re)))) 15.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.067 * [backup-simplify]: Simplify (+ 0 0) into 0 15.067 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 2)) into 0 15.068 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4.0 1)))) 1) into 0 15.069 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 4.0)) into (- (log 4.0) (log re)) 15.070 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (log 4.0) (log re)))) into 0 15.071 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (log 4.0) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.071 * [taylor]: Taking taylor expansion of 0 in im 15.071 * [backup-simplify]: Simplify 0 into 0 15.071 * [backup-simplify]: Simplify 0 into 0 15.072 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4.0 1)))) 1) into 0 15.072 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 15.073 * [backup-simplify]: Simplify (- 0) into 0 15.073 * [backup-simplify]: Simplify (+ 0 0) into 0 15.073 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (log 4.0) (log re)))) into 0 15.074 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (log 4.0) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.074 * [backup-simplify]: Simplify 0 into 0 15.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.076 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 15.076 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.077 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.078 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 15.078 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 2))) into (* 1.0 (/ 1 (pow im 2))) 15.080 * [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)) 15.080 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 4.0)) into (- (log 4.0) (log re)) 15.081 * [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))) 15.082 * [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))) 15.082 * [taylor]: Taking taylor expansion of (* 0.125 (/ (exp (* 1/2 (- (log 4.0) (log re)))) (pow im 2))) in im 15.082 * [taylor]: Taking taylor expansion of 0.125 in im 15.082 * [backup-simplify]: Simplify 0.125 into 0.125 15.082 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (- (log 4.0) (log re)))) (pow im 2)) in im 15.082 * [taylor]: Taking taylor expansion of (exp (* 1/2 (- (log 4.0) (log re)))) in im 15.082 * [taylor]: Taking taylor expansion of (* 1/2 (- (log 4.0) (log re))) in im 15.082 * [taylor]: Taking taylor expansion of 1/2 in im 15.082 * [backup-simplify]: Simplify 1/2 into 1/2 15.082 * [taylor]: Taking taylor expansion of (- (log 4.0) (log re)) in im 15.082 * [taylor]: Taking taylor expansion of (log 4.0) in im 15.082 * [taylor]: Taking taylor expansion of 4.0 in im 15.082 * [backup-simplify]: Simplify 4.0 into 4.0 15.082 * [backup-simplify]: Simplify (log 4.0) into (log 4.0) 15.082 * [taylor]: Taking taylor expansion of (log re) in im 15.082 * [taylor]: Taking taylor expansion of re in im 15.082 * [backup-simplify]: Simplify re into re 15.083 * [backup-simplify]: Simplify (log re) into (log re) 15.083 * [backup-simplify]: Simplify (- (log re)) into (- (log re)) 15.083 * [backup-simplify]: Simplify (+ (log 4.0) (- (log re))) into (- (log 4.0) (log re)) 15.083 * [backup-simplify]: Simplify (* 1/2 (- (log 4.0) (log re))) into (* 1/2 (- (log 4.0) (log re))) 15.084 * [backup-simplify]: Simplify (exp (* 1/2 (- (log 4.0) (log re)))) into (exp (* 1/2 (- (log 4.0) (log re)))) 15.084 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.084 * [taylor]: Taking taylor expansion of im in im 15.084 * [backup-simplify]: Simplify 0 into 0 15.084 * [backup-simplify]: Simplify 1 into 1 15.084 * [backup-simplify]: Simplify (* 1 1) into 1 15.084 * [backup-simplify]: Simplify (/ (exp (* 1/2 (- (log 4.0) (log re)))) 1) into (exp (* 1/2 (- (log 4.0) (log re)))) 15.085 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4.0 1)))) 1) into 0 15.086 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 15.086 * [backup-simplify]: Simplify (- 0) into 0 15.086 * [backup-simplify]: Simplify (+ 0 0) into 0 15.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (log 4.0) (log re)))) into 0 15.089 * [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 15.090 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 15.090 * [backup-simplify]: Simplify (- 0) into 0 15.090 * [backup-simplify]: Simplify (+ 0 0) into 0 15.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log 4.0) (log re))))) into 0 15.092 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (log 4.0) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.094 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (log 4.0) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/2 (- (log 4.0) (log re)))) (/ 0 1)))) into 0 15.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/2 (- (log 4.0) (log re)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.097 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 (exp (* 1/2 (- (log 4.0) (log re))))))) into 0 15.097 * [backup-simplify]: Simplify 0 into 0 15.097 * [backup-simplify]: Simplify 0 into 0 15.099 * [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 15.100 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 15.100 * [backup-simplify]: Simplify (- 0) into 0 15.101 * [backup-simplify]: Simplify (+ 0 0) into 0 15.101 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log 4.0) (log re))))) into 0 15.103 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (log 4.0) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.103 * [backup-simplify]: Simplify 0 into 0 15.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.105 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 15.105 * [backup-simplify]: Simplify (+ 0 0) into 0 15.106 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.107 * [backup-simplify]: Simplify (+ 0 0) into 0 15.107 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 2)))) into 0 15.110 * [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 15.110 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 4.0)) into (- (log 4.0) (log re)) 15.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 0.25 (pow im 2))) (+ (* 0 0) (* 0 (- (log 4.0) (log re)))))) into 0 15.113 * [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 15.113 * [taylor]: Taking taylor expansion of 0 in im 15.113 * [backup-simplify]: Simplify 0 into 0 15.113 * [backup-simplify]: Simplify 0 into 0 15.114 * [backup-simplify]: Simplify (exp (* 1/2 (- (log 4.0) (log (/ 1 re))))) into (exp (* 1/2 (- (log 4.0) (log (/ 1 re))))) 15.114 * [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) 15.114 * [approximate]: Taking taylor expansion of (pow (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) 1/2) in (re im) around 0 15.114 * [taylor]: Taking taylor expansion of (pow (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) 1/2) in im 15.114 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in im 15.114 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 15.114 * [taylor]: Taking taylor expansion of 1/2 in im 15.114 * [backup-simplify]: Simplify 1/2 into 1/2 15.114 * [taylor]: Taking taylor expansion of (log (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 15.114 * [taylor]: Taking taylor expansion of (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 15.114 * [taylor]: Taking taylor expansion of 2.0 in im 15.114 * [backup-simplify]: Simplify 2.0 into 2.0 15.114 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 15.114 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 15.114 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.114 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 15.114 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 15.114 * [taylor]: Taking taylor expansion of (/ -1 re) in im 15.114 * [taylor]: Taking taylor expansion of -1 in im 15.114 * [backup-simplify]: Simplify -1 into -1 15.114 * [taylor]: Taking taylor expansion of re in im 15.114 * [backup-simplify]: Simplify re into re 15.114 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 15.114 * [taylor]: Taking taylor expansion of (/ -1 re) in im 15.114 * [taylor]: Taking taylor expansion of -1 in im 15.114 * [backup-simplify]: Simplify -1 into -1 15.114 * [taylor]: Taking taylor expansion of re in im 15.114 * [backup-simplify]: Simplify re into re 15.115 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 15.115 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 15.115 * [taylor]: Taking taylor expansion of (/ -1 im) in im 15.115 * [taylor]: Taking taylor expansion of -1 in im 15.115 * [backup-simplify]: Simplify -1 into -1 15.115 * [taylor]: Taking taylor expansion of im in im 15.115 * [backup-simplify]: Simplify 0 into 0 15.115 * [backup-simplify]: Simplify 1 into 1 15.115 * [backup-simplify]: Simplify (/ -1 1) into -1 15.115 * [taylor]: Taking taylor expansion of (/ -1 im) in im 15.115 * [taylor]: Taking taylor expansion of -1 in im 15.115 * [backup-simplify]: Simplify -1 into -1 15.115 * [taylor]: Taking taylor expansion of im in im 15.115 * [backup-simplify]: Simplify 0 into 0 15.115 * [backup-simplify]: Simplify 1 into 1 15.115 * [backup-simplify]: Simplify (/ -1 1) into -1 15.116 * [backup-simplify]: Simplify (* -1 -1) into 1 15.116 * [backup-simplify]: Simplify (+ 0 1) into 1 15.116 * [backup-simplify]: Simplify (sqrt 1) into 1 15.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.117 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.118 * [backup-simplify]: Simplify (+ 0 0) into 0 15.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.118 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.118 * [taylor]: Taking taylor expansion of re in im 15.118 * [backup-simplify]: Simplify re into re 15.118 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.118 * [backup-simplify]: Simplify (+ 1 0) into 1 15.119 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 15.119 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.119 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) (log 2.0)) into (- (log 2.0) (log im)) 15.120 * [backup-simplify]: Simplify (* 1/2 (- (log 2.0) (log im))) into (* 1/2 (- (log 2.0) (log im))) 15.120 * [backup-simplify]: Simplify (exp (* 1/2 (- (log 2.0) (log im)))) into (exp (* 1/2 (- (log 2.0) (log im)))) 15.120 * [taylor]: Taking taylor expansion of (pow (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) 1/2) in re 15.120 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in re 15.120 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 15.120 * [taylor]: Taking taylor expansion of 1/2 in re 15.120 * [backup-simplify]: Simplify 1/2 into 1/2 15.120 * [taylor]: Taking taylor expansion of (log (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 15.120 * [taylor]: Taking taylor expansion of (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 15.120 * [taylor]: Taking taylor expansion of 2.0 in re 15.120 * [backup-simplify]: Simplify 2.0 into 2.0 15.120 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 15.120 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 15.120 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.120 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 15.120 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 15.120 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.121 * [taylor]: Taking taylor expansion of -1 in re 15.121 * [backup-simplify]: Simplify -1 into -1 15.121 * [taylor]: Taking taylor expansion of re in re 15.121 * [backup-simplify]: Simplify 0 into 0 15.121 * [backup-simplify]: Simplify 1 into 1 15.121 * [backup-simplify]: Simplify (/ -1 1) into -1 15.121 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.121 * [taylor]: Taking taylor expansion of -1 in re 15.121 * [backup-simplify]: Simplify -1 into -1 15.121 * [taylor]: Taking taylor expansion of re in re 15.121 * [backup-simplify]: Simplify 0 into 0 15.121 * [backup-simplify]: Simplify 1 into 1 15.121 * [backup-simplify]: Simplify (/ -1 1) into -1 15.121 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 15.121 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.121 * [taylor]: Taking taylor expansion of -1 in re 15.121 * [backup-simplify]: Simplify -1 into -1 15.121 * [taylor]: Taking taylor expansion of im in re 15.121 * [backup-simplify]: Simplify im into im 15.121 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.121 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.121 * [taylor]: Taking taylor expansion of -1 in re 15.121 * [backup-simplify]: Simplify -1 into -1 15.121 * [taylor]: Taking taylor expansion of im in re 15.121 * [backup-simplify]: Simplify im into im 15.121 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.122 * [backup-simplify]: Simplify (* -1 -1) into 1 15.122 * [backup-simplify]: Simplify (+ 1 0) into 1 15.122 * [backup-simplify]: Simplify (sqrt 1) into 1 15.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.124 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.124 * [backup-simplify]: Simplify (+ 0 0) into 0 15.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.124 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.124 * [taylor]: Taking taylor expansion of re in re 15.124 * [backup-simplify]: Simplify 0 into 0 15.124 * [backup-simplify]: Simplify 1 into 1 15.125 * [backup-simplify]: Simplify (/ 1 1) into 1 15.125 * [backup-simplify]: Simplify (- 1) into -1 15.125 * [backup-simplify]: Simplify (+ 1 -1) into 0 15.125 * [backup-simplify]: Simplify (* 2.0 0) into 0 15.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.126 * [backup-simplify]: Simplify (- 0) into 0 15.126 * [backup-simplify]: Simplify (+ 0 0) into 0 15.127 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 0)) into 0 15.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.128 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 15.128 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 15.129 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.129 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.130 * [backup-simplify]: Simplify (- 0) into 0 15.130 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 15.131 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into (* 1.0 (/ 1 (pow im 2))) 15.131 * [backup-simplify]: Simplify (log (* 1.0 (/ 1 (pow im 2)))) into (log (/ 1.0 (pow im 2))) 15.131 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1.0 (pow im 2)))) into (+ (log re) (log (/ 1.0 (pow im 2)))) 15.131 * [backup-simplify]: Simplify (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2))))) into (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2))))) 15.131 * [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)))))) 15.131 * [taylor]: Taking taylor expansion of (pow (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) 1/2) in re 15.131 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))))) in re 15.131 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 15.131 * [taylor]: Taking taylor expansion of 1/2 in re 15.131 * [backup-simplify]: Simplify 1/2 into 1/2 15.132 * [taylor]: Taking taylor expansion of (log (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 15.132 * [taylor]: Taking taylor expansion of (* 2.0 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 15.132 * [taylor]: Taking taylor expansion of 2.0 in re 15.132 * [backup-simplify]: Simplify 2.0 into 2.0 15.132 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 15.132 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 15.132 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.132 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 15.132 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 15.132 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.132 * [taylor]: Taking taylor expansion of -1 in re 15.132 * [backup-simplify]: Simplify -1 into -1 15.132 * [taylor]: Taking taylor expansion of re in re 15.132 * [backup-simplify]: Simplify 0 into 0 15.132 * [backup-simplify]: Simplify 1 into 1 15.132 * [backup-simplify]: Simplify (/ -1 1) into -1 15.132 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.132 * [taylor]: Taking taylor expansion of -1 in re 15.132 * [backup-simplify]: Simplify -1 into -1 15.132 * [taylor]: Taking taylor expansion of re in re 15.132 * [backup-simplify]: Simplify 0 into 0 15.132 * [backup-simplify]: Simplify 1 into 1 15.132 * [backup-simplify]: Simplify (/ -1 1) into -1 15.133 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 15.133 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.133 * [taylor]: Taking taylor expansion of -1 in re 15.133 * [backup-simplify]: Simplify -1 into -1 15.133 * [taylor]: Taking taylor expansion of im in re 15.133 * [backup-simplify]: Simplify im into im 15.133 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.133 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.133 * [taylor]: Taking taylor expansion of -1 in re 15.133 * [backup-simplify]: Simplify -1 into -1 15.133 * [taylor]: Taking taylor expansion of im in re 15.133 * [backup-simplify]: Simplify im into im 15.133 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.133 * [backup-simplify]: Simplify (* -1 -1) into 1 15.133 * [backup-simplify]: Simplify (+ 1 0) into 1 15.133 * [backup-simplify]: Simplify (sqrt 1) into 1 15.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.135 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.135 * [backup-simplify]: Simplify (+ 0 0) into 0 15.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.136 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.136 * [taylor]: Taking taylor expansion of re in re 15.136 * [backup-simplify]: Simplify 0 into 0 15.136 * [backup-simplify]: Simplify 1 into 1 15.136 * [backup-simplify]: Simplify (/ 1 1) into 1 15.136 * [backup-simplify]: Simplify (- 1) into -1 15.137 * [backup-simplify]: Simplify (+ 1 -1) into 0 15.137 * [backup-simplify]: Simplify (* 2.0 0) into 0 15.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.138 * [backup-simplify]: Simplify (- 0) into 0 15.139 * [backup-simplify]: Simplify (+ 0 0) into 0 15.139 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 0)) into 0 15.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.142 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 15.142 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 15.143 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.144 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.152 * [backup-simplify]: Simplify (- 0) into 0 15.152 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 15.152 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into (* 1.0 (/ 1 (pow im 2))) 15.153 * [backup-simplify]: Simplify (log (* 1.0 (/ 1 (pow im 2)))) into (log (/ 1.0 (pow im 2))) 15.153 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1.0 (pow im 2)))) into (+ (log re) (log (/ 1.0 (pow im 2)))) 15.153 * [backup-simplify]: Simplify (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2))))) into (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2))))) 15.153 * [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)))))) 15.153 * [taylor]: Taking taylor expansion of (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) in im 15.153 * [taylor]: Taking taylor expansion of (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2))))) in im 15.153 * [taylor]: Taking taylor expansion of 1/2 in im 15.153 * [backup-simplify]: Simplify 1/2 into 1/2 15.153 * [taylor]: Taking taylor expansion of (+ (log re) (log (/ 1.0 (pow im 2)))) in im 15.153 * [taylor]: Taking taylor expansion of (log re) in im 15.153 * [taylor]: Taking taylor expansion of re in im 15.153 * [backup-simplify]: Simplify re into re 15.153 * [backup-simplify]: Simplify (log re) into (log re) 15.154 * [taylor]: Taking taylor expansion of (log (/ 1.0 (pow im 2))) in im 15.154 * [taylor]: Taking taylor expansion of (/ 1.0 (pow im 2)) in im 15.154 * [taylor]: Taking taylor expansion of 1.0 in im 15.154 * [backup-simplify]: Simplify 1.0 into 1.0 15.154 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.154 * [taylor]: Taking taylor expansion of im in im 15.154 * [backup-simplify]: Simplify 0 into 0 15.154 * [backup-simplify]: Simplify 1 into 1 15.154 * [backup-simplify]: Simplify (* 1 1) into 1 15.154 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 15.154 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 15.155 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) (log 1.0)) into (- (log 1.0) (* 2 (log im))) 15.155 * [backup-simplify]: Simplify (+ (log re) (- (log 1.0) (* 2 (log im)))) into (- (+ (log 1.0) (log re)) (* 2 (log im))) 15.156 * [backup-simplify]: Simplify (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im)))) into (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im)))) 15.157 * [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))))) 15.157 * [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))))) 15.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.159 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 15.159 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 15.159 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 15.159 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 15.160 * [backup-simplify]: Simplify (+ 0 0) into 0 15.160 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.161 * [backup-simplify]: Simplify (- 0) into 0 15.161 * [backup-simplify]: Simplify (+ 0 0) into 0 15.162 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0)))) into 0 15.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1.0 (/ 1 (pow im 2))) 1)))) 1) into 0 15.163 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1.0 (pow im 2)))) into (+ (log re) (log (/ 1.0 (pow im 2)))) 15.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (log re) (log (/ 1.0 (pow im 2)))))) into 0 15.164 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.164 * [taylor]: Taking taylor expansion of 0 in im 15.164 * [backup-simplify]: Simplify 0 into 0 15.164 * [backup-simplify]: Simplify 0 into 0 15.164 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 15.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 15.166 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1.0 1)))) 1) into 0 15.166 * [backup-simplify]: Simplify (+ 0 0) into 0 15.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (+ (log 1.0) (log re)) (* 2 (log im))))) into 0 15.168 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.168 * [backup-simplify]: Simplify 0 into 0 15.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.170 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 15.170 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 15.170 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 15.170 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 15.171 * [backup-simplify]: Simplify (+ 0 0) into 0 15.172 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 15.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.172 * [backup-simplify]: Simplify (- 0) into 0 15.173 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 15.173 * [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)))) 15.174 * [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)) 15.175 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1.0 (pow im 2)))) into (+ (log re) (log (/ 1.0 (pow im 2)))) 15.175 * [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)))) 15.176 * [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))) 15.176 * [taylor]: Taking taylor expansion of (* -0.125 (/ (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) (pow im 2))) in im 15.176 * [taylor]: Taking taylor expansion of -0.125 in im 15.176 * [backup-simplify]: Simplify -0.125 into -0.125 15.176 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) (pow im 2)) in im 15.176 * [taylor]: Taking taylor expansion of (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) in im 15.176 * [taylor]: Taking taylor expansion of (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2))))) in im 15.176 * [taylor]: Taking taylor expansion of 1/2 in im 15.176 * [backup-simplify]: Simplify 1/2 into 1/2 15.176 * [taylor]: Taking taylor expansion of (+ (log re) (log (/ 1.0 (pow im 2)))) in im 15.176 * [taylor]: Taking taylor expansion of (log re) in im 15.176 * [taylor]: Taking taylor expansion of re in im 15.176 * [backup-simplify]: Simplify re into re 15.176 * [backup-simplify]: Simplify (log re) into (log re) 15.176 * [taylor]: Taking taylor expansion of (log (/ 1.0 (pow im 2))) in im 15.176 * [taylor]: Taking taylor expansion of (/ 1.0 (pow im 2)) in im 15.176 * [taylor]: Taking taylor expansion of 1.0 in im 15.176 * [backup-simplify]: Simplify 1.0 into 1.0 15.176 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.176 * [taylor]: Taking taylor expansion of im in im 15.176 * [backup-simplify]: Simplify 0 into 0 15.176 * [backup-simplify]: Simplify 1 into 1 15.177 * [backup-simplify]: Simplify (* 1 1) into 1 15.177 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 15.177 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 15.178 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) (log 1.0)) into (- (log 1.0) (* 2 (log im))) 15.178 * [backup-simplify]: Simplify (+ (log re) (- (log 1.0) (* 2 (log im)))) into (- (+ (log 1.0) (log re)) (* 2 (log im))) 15.178 * [backup-simplify]: Simplify (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im)))) into (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im)))) 15.179 * [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))))) 15.179 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.179 * [taylor]: Taking taylor expansion of im in im 15.179 * [backup-simplify]: Simplify 0 into 0 15.179 * [backup-simplify]: Simplify 1 into 1 15.179 * [backup-simplify]: Simplify (* 1 1) into 1 15.179 * [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))))) 15.180 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 15.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 15.182 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1.0 1)))) 1) into 0 15.182 * [backup-simplify]: Simplify (+ 0 0) into 0 15.183 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (+ (log 1.0) (log re)) (* 2 (log im))))) into 0 15.184 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 15.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.189 * [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 15.189 * [backup-simplify]: Simplify (+ 0 0) into 0 15.191 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (+ (log 1.0) (log re)) (* 2 (log im)))))) into 0 15.192 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.195 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) (/ 0 1)))) into 0 15.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.200 * [backup-simplify]: Simplify (+ (* -0.125 0) (+ (* 0 0) (* 0 (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im)))))))) into 0 15.200 * [backup-simplify]: Simplify 0 into 0 15.200 * [backup-simplify]: Simplify 0 into 0 15.202 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 15.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.207 * [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 15.208 * [backup-simplify]: Simplify (+ 0 0) into 0 15.209 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (+ (log 1.0) (log re)) (* 2 (log im)))))) into 0 15.211 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.211 * [backup-simplify]: Simplify 0 into 0 15.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.215 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 15.215 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 15.215 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 15.216 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 im))))) into 0 15.216 * [backup-simplify]: Simplify (+ 0 0) into 0 15.217 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow im 4)))) (* 2 (* (/ 1/2 (pow im 2)) 0)))) (* 2 1)) into 0 15.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.219 * [backup-simplify]: Simplify (- 0) into 0 15.219 * [backup-simplify]: Simplify (+ 0 0) into 0 15.221 * [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 15.224 * [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 15.225 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1.0 (pow im 2)))) into (+ (log re) (log (/ 1.0 (pow im 2)))) 15.226 * [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 15.228 * [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 15.228 * [taylor]: Taking taylor expansion of 0 in im 15.228 * [backup-simplify]: Simplify 0 into 0 15.228 * [backup-simplify]: Simplify 0 into 0 15.229 * [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)))))) 15.229 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 2) 15.229 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 15.229 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 15.229 * [taylor]: Taking taylor expansion of (hypot re im) in im 15.230 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.230 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 15.230 * [taylor]: Taking taylor expansion of (* re re) in im 15.230 * [taylor]: Taking taylor expansion of re in im 15.230 * [backup-simplify]: Simplify re into re 15.230 * [taylor]: Taking taylor expansion of re in im 15.230 * [backup-simplify]: Simplify re into re 15.230 * [taylor]: Taking taylor expansion of (* im im) in im 15.230 * [taylor]: Taking taylor expansion of im in im 15.230 * [backup-simplify]: Simplify 0 into 0 15.230 * [backup-simplify]: Simplify 1 into 1 15.230 * [taylor]: Taking taylor expansion of im in im 15.230 * [backup-simplify]: Simplify 0 into 0 15.230 * [backup-simplify]: Simplify 1 into 1 15.230 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.230 * [backup-simplify]: Simplify (* 0 0) into 0 15.230 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 15.231 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 15.231 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.231 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.232 * [backup-simplify]: Simplify (+ 0 0) into 0 15.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 15.232 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.232 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.232 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.232 * [taylor]: Taking taylor expansion of (* re re) in re 15.232 * [taylor]: Taking taylor expansion of re in re 15.232 * [backup-simplify]: Simplify 0 into 0 15.232 * [backup-simplify]: Simplify 1 into 1 15.232 * [taylor]: Taking taylor expansion of re in re 15.232 * [backup-simplify]: Simplify 0 into 0 15.232 * [backup-simplify]: Simplify 1 into 1 15.232 * [taylor]: Taking taylor expansion of (* im im) in re 15.232 * [taylor]: Taking taylor expansion of im in re 15.232 * [backup-simplify]: Simplify im into im 15.232 * [taylor]: Taking taylor expansion of im in re 15.232 * [backup-simplify]: Simplify im into im 15.232 * [backup-simplify]: Simplify (* 0 0) into 0 15.232 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.232 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.233 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.233 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.233 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.233 * [backup-simplify]: Simplify (+ 0 0) into 0 15.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.233 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.233 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.234 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.234 * [taylor]: Taking taylor expansion of (* re re) in re 15.234 * [taylor]: Taking taylor expansion of re in re 15.234 * [backup-simplify]: Simplify 0 into 0 15.234 * [backup-simplify]: Simplify 1 into 1 15.234 * [taylor]: Taking taylor expansion of re in re 15.234 * [backup-simplify]: Simplify 0 into 0 15.234 * [backup-simplify]: Simplify 1 into 1 15.234 * [taylor]: Taking taylor expansion of (* im im) in re 15.234 * [taylor]: Taking taylor expansion of im in re 15.234 * [backup-simplify]: Simplify im into im 15.234 * [taylor]: Taking taylor expansion of im in re 15.234 * [backup-simplify]: Simplify im into im 15.234 * [backup-simplify]: Simplify (* 0 0) into 0 15.234 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.234 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.234 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.235 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.235 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.235 * [backup-simplify]: Simplify (+ 0 0) into 0 15.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.235 * [taylor]: Taking taylor expansion of im in im 15.235 * [backup-simplify]: Simplify 0 into 0 15.235 * [backup-simplify]: Simplify 1 into 1 15.235 * [backup-simplify]: Simplify 0 into 0 15.235 * [taylor]: Taking taylor expansion of 0 in im 15.235 * [backup-simplify]: Simplify 0 into 0 15.235 * [backup-simplify]: Simplify 0 into 0 15.235 * [backup-simplify]: Simplify 1 into 1 15.236 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.236 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 15.237 * [backup-simplify]: Simplify (+ 1 0) into 1 15.237 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 15.237 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 15.237 * [taylor]: Taking taylor expansion of 1/2 in im 15.237 * [backup-simplify]: Simplify 1/2 into 1/2 15.237 * [taylor]: Taking taylor expansion of im in im 15.237 * [backup-simplify]: Simplify 0 into 0 15.237 * [backup-simplify]: Simplify 1 into 1 15.237 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 15.238 * [backup-simplify]: Simplify 0 into 0 15.238 * [backup-simplify]: Simplify 0 into 0 15.238 * [backup-simplify]: Simplify 0 into 0 15.239 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.239 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 15.239 * [backup-simplify]: Simplify (+ 0 0) into 0 15.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 15.239 * [taylor]: Taking taylor expansion of 0 in im 15.240 * [backup-simplify]: Simplify 0 into 0 15.240 * [backup-simplify]: Simplify 0 into 0 15.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.240 * [backup-simplify]: Simplify 0 into 0 15.240 * [backup-simplify]: Simplify 0 into 0 15.240 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 15.240 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 15.240 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 15.240 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 15.240 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.241 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 15.241 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 15.241 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.241 * [taylor]: Taking taylor expansion of re in im 15.241 * [backup-simplify]: Simplify re into re 15.241 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.241 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.241 * [taylor]: Taking taylor expansion of re in im 15.241 * [backup-simplify]: Simplify re into re 15.241 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.241 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 15.241 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.241 * [taylor]: Taking taylor expansion of im in im 15.241 * [backup-simplify]: Simplify 0 into 0 15.241 * [backup-simplify]: Simplify 1 into 1 15.241 * [backup-simplify]: Simplify (/ 1 1) into 1 15.241 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.241 * [taylor]: Taking taylor expansion of im in im 15.241 * [backup-simplify]: Simplify 0 into 0 15.241 * [backup-simplify]: Simplify 1 into 1 15.241 * [backup-simplify]: Simplify (/ 1 1) into 1 15.242 * [backup-simplify]: Simplify (* 1 1) into 1 15.242 * [backup-simplify]: Simplify (+ 0 1) into 1 15.242 * [backup-simplify]: Simplify (sqrt 1) into 1 15.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.244 * [backup-simplify]: Simplify (+ 0 0) into 0 15.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.244 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.244 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.244 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.244 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.244 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.244 * [taylor]: Taking taylor expansion of re in re 15.244 * [backup-simplify]: Simplify 0 into 0 15.244 * [backup-simplify]: Simplify 1 into 1 15.244 * [backup-simplify]: Simplify (/ 1 1) into 1 15.245 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.245 * [taylor]: Taking taylor expansion of re in re 15.245 * [backup-simplify]: Simplify 0 into 0 15.245 * [backup-simplify]: Simplify 1 into 1 15.245 * [backup-simplify]: Simplify (/ 1 1) into 1 15.245 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.245 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.245 * [taylor]: Taking taylor expansion of im in re 15.245 * [backup-simplify]: Simplify im into im 15.245 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.245 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.245 * [taylor]: Taking taylor expansion of im in re 15.245 * [backup-simplify]: Simplify im into im 15.245 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.245 * [backup-simplify]: Simplify (* 1 1) into 1 15.246 * [backup-simplify]: Simplify (+ 1 0) into 1 15.246 * [backup-simplify]: Simplify (sqrt 1) into 1 15.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.247 * [backup-simplify]: Simplify (+ 0 0) into 0 15.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.248 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.248 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.248 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.248 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.248 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.248 * [taylor]: Taking taylor expansion of re in re 15.248 * [backup-simplify]: Simplify 0 into 0 15.248 * [backup-simplify]: Simplify 1 into 1 15.248 * [backup-simplify]: Simplify (/ 1 1) into 1 15.248 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.248 * [taylor]: Taking taylor expansion of re in re 15.248 * [backup-simplify]: Simplify 0 into 0 15.248 * [backup-simplify]: Simplify 1 into 1 15.248 * [backup-simplify]: Simplify (/ 1 1) into 1 15.249 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.249 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.249 * [taylor]: Taking taylor expansion of im in re 15.249 * [backup-simplify]: Simplify im into im 15.249 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.249 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.249 * [taylor]: Taking taylor expansion of im in re 15.249 * [backup-simplify]: Simplify im into im 15.249 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.249 * [backup-simplify]: Simplify (* 1 1) into 1 15.249 * [backup-simplify]: Simplify (+ 1 0) into 1 15.249 * [backup-simplify]: Simplify (sqrt 1) into 1 15.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.254 * [backup-simplify]: Simplify (+ 0 0) into 0 15.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.255 * [taylor]: Taking taylor expansion of 1 in im 15.255 * [backup-simplify]: Simplify 1 into 1 15.255 * [taylor]: Taking taylor expansion of 0 in im 15.255 * [backup-simplify]: Simplify 0 into 0 15.255 * [backup-simplify]: Simplify 1 into 1 15.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.257 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 15.257 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.258 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.258 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 15.258 * [taylor]: Taking taylor expansion of 1/2 in im 15.258 * [backup-simplify]: Simplify 1/2 into 1/2 15.258 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.258 * [taylor]: Taking taylor expansion of im in im 15.258 * [backup-simplify]: Simplify 0 into 0 15.258 * [backup-simplify]: Simplify 1 into 1 15.258 * [backup-simplify]: Simplify (* 1 1) into 1 15.259 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 15.259 * [backup-simplify]: Simplify 0 into 0 15.259 * [backup-simplify]: Simplify 0 into 0 15.259 * [backup-simplify]: Simplify 0 into 0 15.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.261 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 15.262 * [backup-simplify]: Simplify (+ 0 0) into 0 15.262 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.262 * [taylor]: Taking taylor expansion of 0 in im 15.262 * [backup-simplify]: Simplify 0 into 0 15.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.263 * [backup-simplify]: Simplify 0 into 0 15.263 * [backup-simplify]: Simplify 0 into 0 15.263 * [backup-simplify]: Simplify 0 into 0 15.263 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 15.263 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 15.263 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 15.263 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 15.264 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.264 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 15.264 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 15.264 * [taylor]: Taking taylor expansion of (/ -1 re) in im 15.264 * [taylor]: Taking taylor expansion of -1 in im 15.264 * [backup-simplify]: Simplify -1 into -1 15.264 * [taylor]: Taking taylor expansion of re in im 15.264 * [backup-simplify]: Simplify re into re 15.264 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 15.264 * [taylor]: Taking taylor expansion of (/ -1 re) in im 15.264 * [taylor]: Taking taylor expansion of -1 in im 15.264 * [backup-simplify]: Simplify -1 into -1 15.264 * [taylor]: Taking taylor expansion of re in im 15.264 * [backup-simplify]: Simplify re into re 15.264 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 15.264 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 15.264 * [taylor]: Taking taylor expansion of (/ -1 im) in im 15.264 * [taylor]: Taking taylor expansion of -1 in im 15.264 * [backup-simplify]: Simplify -1 into -1 15.264 * [taylor]: Taking taylor expansion of im in im 15.264 * [backup-simplify]: Simplify 0 into 0 15.264 * [backup-simplify]: Simplify 1 into 1 15.264 * [backup-simplify]: Simplify (/ -1 1) into -1 15.264 * [taylor]: Taking taylor expansion of (/ -1 im) in im 15.264 * [taylor]: Taking taylor expansion of -1 in im 15.264 * [backup-simplify]: Simplify -1 into -1 15.264 * [taylor]: Taking taylor expansion of im in im 15.264 * [backup-simplify]: Simplify 0 into 0 15.264 * [backup-simplify]: Simplify 1 into 1 15.265 * [backup-simplify]: Simplify (/ -1 1) into -1 15.265 * [backup-simplify]: Simplify (* -1 -1) into 1 15.265 * [backup-simplify]: Simplify (+ 0 1) into 1 15.265 * [backup-simplify]: Simplify (sqrt 1) into 1 15.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.272 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.273 * [backup-simplify]: Simplify (+ 0 0) into 0 15.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.273 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 15.274 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.274 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 15.274 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 15.274 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.274 * [taylor]: Taking taylor expansion of -1 in re 15.274 * [backup-simplify]: Simplify -1 into -1 15.274 * [taylor]: Taking taylor expansion of re in re 15.274 * [backup-simplify]: Simplify 0 into 0 15.274 * [backup-simplify]: Simplify 1 into 1 15.274 * [backup-simplify]: Simplify (/ -1 1) into -1 15.274 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.274 * [taylor]: Taking taylor expansion of -1 in re 15.274 * [backup-simplify]: Simplify -1 into -1 15.274 * [taylor]: Taking taylor expansion of re in re 15.274 * [backup-simplify]: Simplify 0 into 0 15.274 * [backup-simplify]: Simplify 1 into 1 15.274 * [backup-simplify]: Simplify (/ -1 1) into -1 15.274 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 15.274 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.274 * [taylor]: Taking taylor expansion of -1 in re 15.274 * [backup-simplify]: Simplify -1 into -1 15.274 * [taylor]: Taking taylor expansion of im in re 15.274 * [backup-simplify]: Simplify im into im 15.274 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.275 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.275 * [taylor]: Taking taylor expansion of -1 in re 15.275 * [backup-simplify]: Simplify -1 into -1 15.275 * [taylor]: Taking taylor expansion of im in re 15.275 * [backup-simplify]: Simplify im into im 15.275 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.275 * [backup-simplify]: Simplify (* -1 -1) into 1 15.275 * [backup-simplify]: Simplify (+ 1 0) into 1 15.275 * [backup-simplify]: Simplify (sqrt 1) into 1 15.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.277 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.277 * [backup-simplify]: Simplify (+ 0 0) into 0 15.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.277 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 15.278 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.278 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 15.278 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 15.278 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.278 * [taylor]: Taking taylor expansion of -1 in re 15.278 * [backup-simplify]: Simplify -1 into -1 15.278 * [taylor]: Taking taylor expansion of re in re 15.278 * [backup-simplify]: Simplify 0 into 0 15.278 * [backup-simplify]: Simplify 1 into 1 15.278 * [backup-simplify]: Simplify (/ -1 1) into -1 15.278 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.278 * [taylor]: Taking taylor expansion of -1 in re 15.278 * [backup-simplify]: Simplify -1 into -1 15.278 * [taylor]: Taking taylor expansion of re in re 15.278 * [backup-simplify]: Simplify 0 into 0 15.278 * [backup-simplify]: Simplify 1 into 1 15.278 * [backup-simplify]: Simplify (/ -1 1) into -1 15.278 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 15.278 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.278 * [taylor]: Taking taylor expansion of -1 in re 15.278 * [backup-simplify]: Simplify -1 into -1 15.278 * [taylor]: Taking taylor expansion of im in re 15.278 * [backup-simplify]: Simplify im into im 15.279 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.279 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.279 * [taylor]: Taking taylor expansion of -1 in re 15.279 * [backup-simplify]: Simplify -1 into -1 15.279 * [taylor]: Taking taylor expansion of im in re 15.279 * [backup-simplify]: Simplify im into im 15.279 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.279 * [backup-simplify]: Simplify (* -1 -1) into 1 15.279 * [backup-simplify]: Simplify (+ 1 0) into 1 15.279 * [backup-simplify]: Simplify (sqrt 1) into 1 15.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.281 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.281 * [backup-simplify]: Simplify (+ 0 0) into 0 15.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.281 * [taylor]: Taking taylor expansion of 1 in im 15.281 * [backup-simplify]: Simplify 1 into 1 15.281 * [taylor]: Taking taylor expansion of 0 in im 15.281 * [backup-simplify]: Simplify 0 into 0 15.282 * [backup-simplify]: Simplify 1 into 1 15.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.283 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 15.283 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 15.283 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.284 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.284 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 15.284 * [taylor]: Taking taylor expansion of 1/2 in im 15.284 * [backup-simplify]: Simplify 1/2 into 1/2 15.284 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.284 * [taylor]: Taking taylor expansion of im in im 15.284 * [backup-simplify]: Simplify 0 into 0 15.284 * [backup-simplify]: Simplify 1 into 1 15.285 * [backup-simplify]: Simplify (* 1 1) into 1 15.285 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 15.286 * [backup-simplify]: Simplify 0 into 0 15.286 * [backup-simplify]: Simplify 0 into 0 15.286 * [backup-simplify]: Simplify 0 into 0 15.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.288 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 15.288 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 15.288 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 15.288 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 15.288 * [backup-simplify]: Simplify (+ 0 0) into 0 15.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.289 * [taylor]: Taking taylor expansion of 0 in im 15.289 * [backup-simplify]: Simplify 0 into 0 15.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.290 * [backup-simplify]: Simplify 0 into 0 15.290 * [backup-simplify]: Simplify 0 into 0 15.290 * [backup-simplify]: Simplify 0 into 0 15.290 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 15.290 * * * [progress]: simplifying candidates 15.291 * [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) 15.292 * * [simplify]: Extracting # 0 : cost 0 15.292 * * [simplify]: Extracting # 1 : cost 0 15.292 * * [simplify]: Extracting # 2 : cost 0 15.292 * * [simplify]: Extracting # 3 : cost 0 15.292 * * [simplify]: Extracting # 4 : cost 0 15.292 * * [simplify]: Extracting # 5 : cost 0 15.292 * * [simplify]: Extracting # 6 : cost 0 15.292 * * [simplify]: Extracting # 7 : cost 0 15.292 * * [simplify]: Extracting # 8 : cost 0 15.293 * * [simplify]: Extracting # 9 : cost 0 15.293 * * [simplify]: iteration 0 : 101 enodes (cost 460 ) 15.321 * * [simplify]: Extracting # 0 : cost 0 15.321 * * [simplify]: Extracting # 1 : cost 0 15.322 * * [simplify]: Extracting # 2 : cost 0 15.322 * * [simplify]: Extracting # 3 : cost 0 15.322 * * [simplify]: Extracting # 4 : cost 0 15.322 * * [simplify]: iteration 1 : 221 enodes (cost 406 ) 15.424 * * [simplify]: Extracting # 0 : cost 0 15.425 * * [simplify]: Extracting # 1 : cost 0 15.426 * * [simplify]: Extracting # 2 : cost 0 15.427 * * [simplify]: Extracting # 3 : cost 0 15.428 * * [simplify]: Extracting # 4 : cost 0 15.429 * * [simplify]: iteration 2 : 488 enodes (cost 387 ) 15.674 * * [simplify]: Extracting # 0 : cost 0 15.676 * * [simplify]: Extracting # 1 : cost 0 15.677 * * [simplify]: Extracting # 2 : cost 0 15.679 * * [simplify]: Extracting # 3 : cost 0 15.680 * * [simplify]: Extracting # 4 : cost 0 15.681 * * [simplify]: iteration 3 : 1233 enodes (cost 381 ) 17.272 * * [simplify]: Extracting # 0 : cost 0 17.277 * * [simplify]: Extracting # 1 : cost 0 17.281 * * [simplify]: Extracting # 2 : cost 0 17.290 * * [simplify]: Extracting # 3 : cost 0 17.294 * * [simplify]: Extracting # 4 : cost 0 17.298 * * [simplify]: iteration 4 : 3993 enodes (cost 373 ) 18.508 * * [simplify]: Extracting # 0 : cost 0 18.518 * * [simplify]: Extracting # 1 : cost 0 18.536 * * [simplify]: Extracting # 2 : cost 0 18.546 * * [simplify]: iteration done: 5000 enodes (cost 372 ) 18.547 * [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) 18.547 * * * [progress]: adding candidates to table 18.730 * [progress]: [Phase 3 of 3] Extracting. 18.730 * * [regime]: Finding splitpoints for: (# # # # # #) 18.732 * * * [regime-changes]: Trying 2 branch expressions: (im re) 18.733 * * * * [regimes]: Trying to branch on im from (# # # # # #) 18.794 * * * * [regimes]: Trying to branch on re from (# # # # # #) 18.838 * * * [regime]: Found split indices: #