2.949 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.040 * * * [progress]: [2/2] Setting up program. 0.044 * [progress]: [Phase 2 of 3] Improving. 0.044 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.044 * * [simplify]: iteration 0: 12 enodes 0.046 * * [simplify]: iteration 1: 24 enodes 0.051 * * [simplify]: iteration 2: 30 enodes 0.078 * * [simplify]: iteration 3: 32 enodes 0.085 * * [simplify]: iteration complete: 32 enodes 0.086 * * [simplify]: Extracting #0: cost 1 inf + 0 0.086 * * [simplify]: Extracting #1: cost 3 inf + 0 0.086 * * [simplify]: Extracting #2: cost 3 inf + 1 0.086 * * [simplify]: Extracting #3: cost 9 inf + 1 0.086 * * [simplify]: Extracting #4: cost 8 inf + 6 0.086 * * [simplify]: Extracting #5: cost 3 inf + 45 0.087 * * [simplify]: Extracting #6: cost 1 inf + 51 0.087 * * [simplify]: Extracting #7: cost 0 inf + 57 0.087 * [simplify]: Simplified to: (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0))) 0.096 * * [progress]: iteration 1 / 4 0.096 * * * [progress]: picking best candidate 0.109 * * * * [pick]: Picked # 0.109 * * * [progress]: localizing error 0.122 * * * [progress]: generating rewritten candidates 0.122 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.127 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.134 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 1) 0.135 * * * [progress]: generating series expansions 0.135 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.135 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ (hypot re im) re) 0.135 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 0.135 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 0.135 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.135 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.135 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.135 * [taylor]: Taking taylor expansion of (* re re) in im 0.135 * [taylor]: Taking taylor expansion of re in im 0.135 * [backup-simplify]: Simplify re into re 0.135 * [taylor]: Taking taylor expansion of re in im 0.135 * [backup-simplify]: Simplify re into re 0.135 * [taylor]: Taking taylor expansion of (* im im) in im 0.135 * [taylor]: Taking taylor expansion of im in im 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [taylor]: Taking taylor expansion of im in im 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.136 * [backup-simplify]: Simplify (* 0 0) into 0 0.136 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.136 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.136 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.137 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.137 * [taylor]: Taking taylor expansion of re in im 0.137 * [backup-simplify]: Simplify re into re 0.137 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.137 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.137 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.137 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.137 * [taylor]: Taking taylor expansion of (* re re) in re 0.137 * [taylor]: Taking taylor expansion of re in re 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [taylor]: Taking taylor expansion of re in re 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [taylor]: Taking taylor expansion of (* im im) in re 0.137 * [taylor]: Taking taylor expansion of im in re 0.137 * [backup-simplify]: Simplify im into im 0.137 * [taylor]: Taking taylor expansion of im in re 0.137 * [backup-simplify]: Simplify im into im 0.138 * [backup-simplify]: Simplify (* 0 0) into 0 0.138 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.138 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.138 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.138 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.138 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.139 * [taylor]: Taking taylor expansion of re in re 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.139 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.139 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.139 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.139 * [taylor]: Taking taylor expansion of (* re re) in re 0.139 * [taylor]: Taking taylor expansion of re in re 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [taylor]: Taking taylor expansion of re in re 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [taylor]: Taking taylor expansion of (* im im) in re 0.139 * [taylor]: Taking taylor expansion of im in re 0.139 * [backup-simplify]: Simplify im into im 0.139 * [taylor]: Taking taylor expansion of im in re 0.139 * [backup-simplify]: Simplify im into im 0.139 * [backup-simplify]: Simplify (* 0 0) into 0 0.139 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.140 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.140 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.140 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.140 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.141 * [taylor]: Taking taylor expansion of re in re 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (+ im 0) into im 0.141 * [taylor]: Taking taylor expansion of im in im 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (+ 0 1) into 1 0.141 * [taylor]: Taking taylor expansion of 1 in im 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify 1 into 1 0.142 * [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 (+ (/ 1/2 im) 0) 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 0.143 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.145 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [taylor]: Taking taylor expansion of 0 in im 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.148 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 0.148 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.148 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.148 * [taylor]: Taking taylor expansion of re in im 0.148 * [backup-simplify]: Simplify re into re 0.148 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.148 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.149 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.149 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.149 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.149 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.149 * [taylor]: Taking taylor expansion of re in im 0.149 * [backup-simplify]: Simplify re into re 0.149 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.149 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.149 * [taylor]: Taking taylor expansion of re in im 0.149 * [backup-simplify]: Simplify re into re 0.149 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.149 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.149 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.149 * [taylor]: Taking taylor expansion of im in im 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.149 * [taylor]: Taking taylor expansion of im in im 0.149 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [backup-simplify]: Simplify (* 1 1) into 1 0.151 * [backup-simplify]: Simplify (+ 0 1) into 1 0.151 * [backup-simplify]: Simplify (sqrt 1) into 1 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.155 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.155 * [taylor]: Taking taylor expansion of re in re 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.155 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.155 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.155 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.155 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.155 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.155 * [taylor]: Taking taylor expansion of re in re 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.156 * [taylor]: Taking taylor expansion of re in re 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.157 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.157 * [taylor]: Taking taylor expansion of im in re 0.157 * [backup-simplify]: Simplify im into im 0.157 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.157 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.157 * [taylor]: Taking taylor expansion of im in re 0.157 * [backup-simplify]: Simplify im into im 0.157 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.157 * [backup-simplify]: Simplify (* 1 1) into 1 0.158 * [backup-simplify]: Simplify (+ 1 0) into 1 0.158 * [backup-simplify]: Simplify (sqrt 1) into 1 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.162 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.162 * [taylor]: Taking taylor expansion of re in re 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.162 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.162 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.162 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.162 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.162 * [taylor]: Taking taylor expansion of re in re 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.163 * [taylor]: Taking taylor expansion of re in re 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.163 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.163 * [taylor]: Taking taylor expansion of im in re 0.163 * [backup-simplify]: Simplify im into im 0.164 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.164 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.164 * [taylor]: Taking taylor expansion of im in re 0.164 * [backup-simplify]: Simplify im into im 0.164 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.164 * [backup-simplify]: Simplify (* 1 1) into 1 0.165 * [backup-simplify]: Simplify (+ 1 0) into 1 0.165 * [backup-simplify]: Simplify (sqrt 1) into 1 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.168 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.169 * [backup-simplify]: Simplify (+ 1 1) into 2 0.169 * [taylor]: Taking taylor expansion of 2 in im 0.169 * [backup-simplify]: Simplify 2 into 2 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [taylor]: Taking taylor expansion of 0 in im 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 2 into 2 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.174 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.174 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.176 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.177 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.177 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.177 * [taylor]: Taking taylor expansion of 1/2 in im 0.177 * [backup-simplify]: Simplify 1/2 into 1/2 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.177 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.177 * [taylor]: Taking taylor expansion of im in im 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (* 1 1) into 1 0.178 * [backup-simplify]: Simplify (/ 1 1) into 1 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.185 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.185 * [backup-simplify]: Simplify (+ 0 0) into 0 0.186 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.186 * [taylor]: Taking taylor expansion of 0 in im 0.186 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.190 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 0.190 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.190 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.190 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.190 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.190 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.190 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.190 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.190 * [taylor]: Taking taylor expansion of -1 in im 0.190 * [backup-simplify]: Simplify -1 into -1 0.190 * [taylor]: Taking taylor expansion of re in im 0.190 * [backup-simplify]: Simplify re into re 0.190 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.190 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.191 * [taylor]: Taking taylor expansion of -1 in im 0.191 * [backup-simplify]: Simplify -1 into -1 0.191 * [taylor]: Taking taylor expansion of re in im 0.191 * [backup-simplify]: Simplify re into re 0.191 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.191 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.191 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.191 * [taylor]: Taking taylor expansion of -1 in im 0.191 * [backup-simplify]: Simplify -1 into -1 0.191 * [taylor]: Taking taylor expansion of im in im 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (/ -1 1) into -1 0.191 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.191 * [taylor]: Taking taylor expansion of -1 in im 0.191 * [backup-simplify]: Simplify -1 into -1 0.191 * [taylor]: Taking taylor expansion of im in im 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (/ -1 1) into -1 0.192 * [backup-simplify]: Simplify (* -1 -1) into 1 0.193 * [backup-simplify]: Simplify (+ 0 1) into 1 0.193 * [backup-simplify]: Simplify (sqrt 1) into 1 0.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.204 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.204 * [taylor]: Taking taylor expansion of re in im 0.204 * [backup-simplify]: Simplify re into re 0.204 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.204 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.204 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.205 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.205 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.205 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.205 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.205 * [taylor]: Taking taylor expansion of -1 in re 0.205 * [backup-simplify]: Simplify -1 into -1 0.205 * [taylor]: Taking taylor expansion of re in re 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (/ -1 1) into -1 0.206 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.206 * [taylor]: Taking taylor expansion of -1 in re 0.206 * [backup-simplify]: Simplify -1 into -1 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 0.207 * [backup-simplify]: Simplify (/ -1 1) into -1 0.207 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.207 * [taylor]: Taking taylor expansion of (/ -1 im) 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 im in re 0.207 * [backup-simplify]: Simplify im into im 0.207 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.207 * [taylor]: Taking taylor expansion of (/ -1 im) 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 im in re 0.207 * [backup-simplify]: Simplify im into im 0.207 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.208 * [backup-simplify]: Simplify (* -1 -1) into 1 0.208 * [backup-simplify]: Simplify (+ 1 0) into 1 0.208 * [backup-simplify]: Simplify (sqrt 1) into 1 0.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.212 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.212 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.212 * [taylor]: Taking taylor expansion of re in re 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (/ 1 1) into 1 0.213 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.213 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.213 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.213 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.213 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.213 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.213 * [taylor]: Taking taylor expansion of -1 in re 0.213 * [backup-simplify]: Simplify -1 into -1 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 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.214 * [taylor]: Taking taylor expansion of -1 in re 0.214 * [backup-simplify]: Simplify -1 into -1 0.214 * [taylor]: Taking taylor expansion of re in re 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ -1 1) into -1 0.214 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.214 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.214 * [taylor]: Taking taylor expansion of -1 in re 0.214 * [backup-simplify]: Simplify -1 into -1 0.215 * [taylor]: Taking taylor expansion of im in re 0.215 * [backup-simplify]: Simplify im into im 0.215 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.215 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.215 * [taylor]: Taking taylor expansion of -1 in re 0.215 * [backup-simplify]: Simplify -1 into -1 0.215 * [taylor]: Taking taylor expansion of im in re 0.215 * [backup-simplify]: Simplify im into im 0.215 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.215 * [backup-simplify]: Simplify (* -1 -1) into 1 0.216 * [backup-simplify]: Simplify (+ 1 0) into 1 0.216 * [backup-simplify]: Simplify (sqrt 1) into 1 0.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.220 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.220 * [taylor]: Taking taylor expansion of re in re 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [backup-simplify]: Simplify (- 1) into -1 0.221 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.221 * [taylor]: Taking taylor expansion of 0 in im 0.221 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (- 0) into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [taylor]: Taking taylor expansion of 0 in im 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.226 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.226 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.227 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.229 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.229 * [taylor]: Taking taylor expansion of 1/2 in im 0.229 * [backup-simplify]: Simplify 1/2 into 1/2 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.229 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.229 * [taylor]: Taking taylor expansion of im in im 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (* 1 1) into 1 0.230 * [backup-simplify]: Simplify (/ 1 1) into 1 0.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.236 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.236 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.236 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.237 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (- 0) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [taylor]: Taking taylor expansion of 0 in im 0.240 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.243 * [backup-simplify]: Simplify (sqrt (* (+ (hypot re im) re) 2.0)) into (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) 0.243 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in (re im) around 0 0.243 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) 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) 0.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.244 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im 0.244 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 0.244 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.244 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.244 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.244 * [taylor]: Taking taylor expansion of (* re re) in im 0.244 * [taylor]: Taking taylor expansion of re in im 0.244 * [backup-simplify]: Simplify re into re 0.244 * [taylor]: Taking taylor expansion of re in im 0.244 * [backup-simplify]: Simplify re into re 0.244 * [taylor]: Taking taylor expansion of (* im 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 * [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 (* re re) into (pow re 2) 0.244 * [backup-simplify]: Simplify (* 0 0) into 0 0.244 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.245 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.245 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.245 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.245 * [taylor]: Taking taylor expansion of re in im 0.245 * [backup-simplify]: Simplify re into re 0.245 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.245 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.246 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re 0.246 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.246 * [taylor]: Taking taylor expansion of 2.0 in re 0.246 * [backup-simplify]: Simplify 2.0 into 2.0 0.246 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.247 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 0.247 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.247 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.247 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.247 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.247 * [taylor]: Taking taylor expansion of (* re re) in re 0.247 * [taylor]: Taking taylor expansion of re in re 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [taylor]: Taking taylor expansion of re in re 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [taylor]: Taking taylor expansion of (* im im) in re 0.247 * [taylor]: Taking taylor expansion of im in re 0.247 * [backup-simplify]: Simplify im into im 0.247 * [taylor]: Taking taylor expansion of im in re 0.247 * [backup-simplify]: Simplify im into im 0.247 * [backup-simplify]: Simplify (* 0 0) into 0 0.247 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.247 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.247 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.248 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.248 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.248 * [taylor]: Taking taylor expansion of re in re 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (+ im 0) into im 0.248 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.249 * [backup-simplify]: Simplify (+ 0 1) into 1 0.249 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.249 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re 0.249 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.249 * [taylor]: Taking taylor expansion of 2.0 in re 0.249 * [backup-simplify]: Simplify 2.0 into 2.0 0.249 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.249 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 0.250 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.250 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.250 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.250 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.250 * [taylor]: Taking taylor expansion of (* re re) in re 0.250 * [taylor]: Taking taylor expansion of re in re 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of re in re 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of (* im im) in re 0.250 * [taylor]: Taking taylor expansion of im in re 0.250 * [backup-simplify]: Simplify im into im 0.250 * [taylor]: Taking taylor expansion of im in re 0.250 * [backup-simplify]: Simplify im into im 0.250 * [backup-simplify]: Simplify (* 0 0) into 0 0.250 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.250 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.250 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.251 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.251 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.251 * [taylor]: Taking taylor expansion of re in re 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (+ im 0) into im 0.251 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.252 * [backup-simplify]: Simplify (+ 0 1) into 1 0.252 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.252 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.252 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.252 * [taylor]: Taking taylor expansion of 2.0 in im 0.252 * [backup-simplify]: Simplify 2.0 into 2.0 0.252 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.253 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.253 * [taylor]: Taking taylor expansion of im in im 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (sqrt 0) into 0 0.254 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.254 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.255 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.255 * [taylor]: Taking taylor expansion of 1/2 in im 0.255 * [backup-simplify]: Simplify 1/2 into 1/2 0.255 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.255 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.255 * [taylor]: Taking taylor expansion of 2.0 in im 0.255 * [backup-simplify]: Simplify 2.0 into 2.0 0.255 * [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 im)) in im 0.256 * [taylor]: Taking taylor expansion of (/ 1 im) 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 0.256 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [backup-simplify]: Simplify (sqrt 0) into 0 0.257 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.258 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.259 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.261 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.262 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.263 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.264 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.265 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.265 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.265 * [backup-simplify]: Simplify (+ 1 0) into 1 0.266 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.266 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.266 * [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)))) 0.267 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.267 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) 0.267 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.267 * [taylor]: Taking taylor expansion of 1/8 in im 0.267 * [backup-simplify]: Simplify 1/8 into 1/8 0.267 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.267 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.267 * [taylor]: Taking taylor expansion of 2.0 in im 0.267 * [backup-simplify]: Simplify 2.0 into 2.0 0.268 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.268 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.268 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.268 * [taylor]: Taking taylor expansion of im in im 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (* 1 1) into 1 0.269 * [backup-simplify]: Simplify (* 1 1) into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [backup-simplify]: Simplify (sqrt 0) into 0 0.270 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.274 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.276 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.278 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.279 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.284 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.285 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.291 * [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))))))) 0.291 * [backup-simplify]: Simplify (sqrt (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 2.0)) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) 0.291 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0 0.291 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 0.291 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.291 * [taylor]: Taking taylor expansion of 2.0 in im 0.291 * [backup-simplify]: Simplify 2.0 into 2.0 0.292 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.292 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.293 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.293 * [taylor]: Taking taylor expansion of re in im 0.293 * [backup-simplify]: Simplify re into re 0.293 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.293 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.293 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.293 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.293 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.293 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.293 * [taylor]: Taking taylor expansion of re in im 0.293 * [backup-simplify]: Simplify re into re 0.293 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.293 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.293 * [taylor]: Taking taylor expansion of re in im 0.293 * [backup-simplify]: Simplify re into re 0.293 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.293 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.293 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.293 * [taylor]: Taking taylor expansion of im in im 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.294 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.294 * [taylor]: Taking taylor expansion of im in im 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.295 * [backup-simplify]: Simplify (* 1 1) into 1 0.295 * [backup-simplify]: Simplify (+ 0 1) into 1 0.296 * [backup-simplify]: Simplify (sqrt 1) into 1 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.298 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.300 * [backup-simplify]: Simplify (+ 0 1) into 1 0.300 * [backup-simplify]: Simplify (sqrt 0) into 0 0.301 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.301 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 0.302 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.302 * [taylor]: Taking taylor expansion of 2.0 in re 0.302 * [backup-simplify]: Simplify 2.0 into 2.0 0.302 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.303 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.303 * [taylor]: Taking taylor expansion of re in re 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.303 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.303 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.303 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.303 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.303 * [taylor]: Taking taylor expansion of re in re 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.304 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.304 * [taylor]: Taking taylor expansion of re in re 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (/ 1 1) into 1 0.304 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.304 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.304 * [taylor]: Taking taylor expansion of im in re 0.304 * [backup-simplify]: Simplify im into im 0.304 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.304 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.304 * [taylor]: Taking taylor expansion of im in re 0.304 * [backup-simplify]: Simplify im into im 0.304 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.304 * [backup-simplify]: Simplify (* 1 1) into 1 0.305 * [backup-simplify]: Simplify (+ 1 0) into 1 0.305 * [backup-simplify]: Simplify (sqrt 1) into 1 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.307 * [backup-simplify]: Simplify (+ 1 1) into 2 0.307 * [backup-simplify]: Simplify (sqrt 0) into 0 0.308 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.308 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 0.308 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.308 * [taylor]: Taking taylor expansion of 2.0 in re 0.308 * [backup-simplify]: Simplify 2.0 into 2.0 0.309 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.309 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.309 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.309 * [taylor]: Taking taylor expansion of re in re 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.310 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.310 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.310 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.310 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.310 * [taylor]: Taking taylor expansion of re in re 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.310 * [taylor]: Taking taylor expansion of re in re 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.310 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.310 * [taylor]: Taking taylor expansion of im in re 0.310 * [backup-simplify]: Simplify im into im 0.310 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.310 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.310 * [taylor]: Taking taylor expansion of im in re 0.310 * [backup-simplify]: Simplify im into im 0.310 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.311 * [backup-simplify]: Simplify (* 1 1) into 1 0.311 * [backup-simplify]: Simplify (+ 1 0) into 1 0.311 * [backup-simplify]: Simplify (sqrt 1) into 1 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.313 * [backup-simplify]: Simplify (+ 1 1) into 2 0.314 * [backup-simplify]: Simplify (sqrt 0) into 0 0.314 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.315 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.315 * [taylor]: Taking taylor expansion of 0 in im 0.315 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.316 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.316 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.316 * [taylor]: Taking taylor expansion of +nan.0 in im 0.316 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.316 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.316 * [taylor]: Taking taylor expansion of 2.0 in im 0.316 * [backup-simplify]: Simplify 2.0 into 2.0 0.316 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.320 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.324 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.324 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.324 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.324 * [taylor]: Taking taylor expansion of +nan.0 in im 0.324 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.324 * [taylor]: Taking taylor expansion of 2.0 in im 0.324 * [backup-simplify]: Simplify 2.0 into 2.0 0.324 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.325 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.326 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.327 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.327 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.330 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.330 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.331 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.331 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.332 * [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)) 0.333 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.334 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 0.334 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.334 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.334 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.334 * [taylor]: Taking taylor expansion of +nan.0 in im 0.334 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.334 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.334 * [taylor]: Taking taylor expansion of 2.0 in im 0.334 * [backup-simplify]: Simplify 2.0 into 2.0 0.334 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.335 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.335 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.335 * [taylor]: Taking taylor expansion of +nan.0 in im 0.335 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.335 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.335 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.335 * [taylor]: Taking taylor expansion of 2.0 in im 0.335 * [backup-simplify]: Simplify 2.0 into 2.0 0.335 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.336 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.336 * [taylor]: Taking taylor expansion of im in im 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (* 1 1) into 1 0.337 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.340 * [backup-simplify]: Simplify (- 0) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.344 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.345 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.346 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.351 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [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))) 0.355 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.358 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 0.358 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.358 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.358 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.358 * [taylor]: Taking taylor expansion of +nan.0 in im 0.358 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.358 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.358 * [taylor]: Taking taylor expansion of 2.0 in im 0.358 * [backup-simplify]: Simplify 2.0 into 2.0 0.359 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.359 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.359 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.359 * [taylor]: Taking taylor expansion of +nan.0 in im 0.359 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.359 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.360 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.360 * [taylor]: Taking taylor expansion of 2.0 in im 0.360 * [backup-simplify]: Simplify 2.0 into 2.0 0.360 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.361 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.361 * [taylor]: Taking taylor expansion of im in im 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (* 1 1) into 1 0.362 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.365 * [backup-simplify]: Simplify (- 0) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [backup-simplify]: Simplify (- 0) into 0 0.366 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.367 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.370 * [backup-simplify]: Simplify (- 0) into 0 0.370 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.372 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.373 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.376 * [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) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 0.376 * [backup-simplify]: Simplify (sqrt (* (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) 0.376 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.376 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.376 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.376 * [taylor]: Taking taylor expansion of 2.0 in im 0.376 * [backup-simplify]: Simplify 2.0 into 2.0 0.376 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.377 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.377 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.377 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.377 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.377 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.377 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.377 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.377 * [taylor]: Taking taylor expansion of -1 in im 0.377 * [backup-simplify]: Simplify -1 into -1 0.377 * [taylor]: Taking taylor expansion of re in im 0.377 * [backup-simplify]: Simplify re into re 0.377 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.377 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.377 * [taylor]: Taking taylor expansion of -1 in im 0.377 * [backup-simplify]: Simplify -1 into -1 0.377 * [taylor]: Taking taylor expansion of re in im 0.377 * [backup-simplify]: Simplify re into re 0.377 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.377 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.377 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.377 * [taylor]: Taking taylor expansion of -1 in im 0.377 * [backup-simplify]: Simplify -1 into -1 0.377 * [taylor]: Taking taylor expansion of im in im 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (/ -1 1) into -1 0.378 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.378 * [taylor]: Taking taylor expansion of -1 in im 0.378 * [backup-simplify]: Simplify -1 into -1 0.378 * [taylor]: Taking taylor expansion of im in im 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (/ -1 1) into -1 0.378 * [backup-simplify]: Simplify (* -1 -1) into 1 0.379 * [backup-simplify]: Simplify (+ 0 1) into 1 0.379 * [backup-simplify]: Simplify (sqrt 1) into 1 0.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.380 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.381 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.381 * [taylor]: Taking taylor expansion of re in im 0.381 * [backup-simplify]: Simplify re into re 0.381 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.381 * [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 0.383 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.383 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.383 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.383 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.383 * [taylor]: Taking taylor expansion of -1 in re 0.383 * [backup-simplify]: Simplify -1 into -1 0.383 * [taylor]: Taking taylor expansion of re in re 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [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 0.384 * [backup-simplify]: Simplify (/ -1 1) into -1 0.384 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.384 * [taylor]: Taking taylor expansion of (/ -1 im) 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 im in re 0.384 * [backup-simplify]: Simplify im into im 0.384 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.384 * [taylor]: Taking taylor expansion of (/ -1 im) 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 im in re 0.384 * [backup-simplify]: Simplify im into im 0.384 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.385 * [backup-simplify]: Simplify (* -1 -1) into 1 0.385 * [backup-simplify]: Simplify (+ 1 0) into 1 0.385 * [backup-simplify]: Simplify (sqrt 1) into 1 0.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.387 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.387 * [taylor]: Taking taylor expansion of re in re 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (/ 1 1) into 1 0.388 * [backup-simplify]: Simplify (- 1) into -1 0.388 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (- 0) into 0 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.391 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.391 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.392 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (- 0) into 0 0.393 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.393 * [backup-simplify]: Simplify (sqrt 0) into 0 0.393 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.394 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.394 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.394 * [taylor]: Taking taylor expansion of 2.0 in re 0.394 * [backup-simplify]: Simplify 2.0 into 2.0 0.394 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.394 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.394 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.394 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.394 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.394 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.394 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.395 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.395 * [taylor]: Taking taylor expansion of -1 in re 0.395 * [backup-simplify]: Simplify -1 into -1 0.395 * [taylor]: Taking taylor expansion of re in re 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [backup-simplify]: Simplify (/ -1 1) into -1 0.395 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.395 * [taylor]: Taking taylor expansion of -1 in re 0.395 * [backup-simplify]: Simplify -1 into -1 0.395 * [taylor]: Taking taylor expansion of re in re 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (/ -1 1) into -1 0.396 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.396 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.396 * [taylor]: Taking taylor expansion of -1 in re 0.396 * [backup-simplify]: Simplify -1 into -1 0.396 * [taylor]: Taking taylor expansion of im in re 0.396 * [backup-simplify]: Simplify im into im 0.396 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.396 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.396 * [taylor]: Taking taylor expansion of -1 in re 0.396 * [backup-simplify]: Simplify -1 into -1 0.396 * [taylor]: Taking taylor expansion of im in re 0.396 * [backup-simplify]: Simplify im into im 0.396 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.397 * [backup-simplify]: Simplify (* -1 -1) into 1 0.397 * [backup-simplify]: Simplify (+ 1 0) into 1 0.398 * [backup-simplify]: Simplify (sqrt 1) into 1 0.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.401 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.401 * [taylor]: Taking taylor expansion of re in re 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.402 * [backup-simplify]: Simplify (/ 1 1) into 1 0.402 * [backup-simplify]: Simplify (- 1) into -1 0.402 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify (- 0) into 0 0.404 * [backup-simplify]: Simplify (+ 0 0) into 0 0.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.407 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.407 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.409 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (- 0) into 0 0.410 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.411 * [backup-simplify]: Simplify (sqrt 0) into 0 0.412 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.412 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.412 * [taylor]: Taking taylor expansion of 0 in im 0.412 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.413 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.413 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.413 * [taylor]: Taking taylor expansion of +nan.0 in im 0.413 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.413 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.413 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.413 * [taylor]: Taking taylor expansion of 2.0 in im 0.413 * [backup-simplify]: Simplify 2.0 into 2.0 0.414 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.415 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.415 * [taylor]: Taking taylor expansion of im in im 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (* 1 1) into 1 0.416 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.419 * [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 0.420 * [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 0.423 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.423 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.423 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.424 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (- 0) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.428 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.429 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.430 * [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)))) 0.430 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.430 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.430 * [taylor]: Taking taylor expansion of +nan.0 in im 0.430 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.430 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.430 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.430 * [taylor]: Taking taylor expansion of 2.0 in im 0.430 * [backup-simplify]: Simplify 2.0 into 2.0 0.431 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.431 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.431 * [taylor]: Taking taylor expansion of im in im 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (* 1 1) into 1 0.432 * [backup-simplify]: Simplify (* 1 1) into 1 0.433 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.434 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.436 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.448 * [backup-simplify]: Simplify (- 0) into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.453 * [backup-simplify]: Simplify (- 0) into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.456 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.456 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.456 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 0.457 * [backup-simplify]: Simplify (+ 0 0) into 0 0.457 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (- 0) into 0 0.458 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.459 * [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 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) 0.460 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.461 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 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)))))) 0.461 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.461 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.461 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.461 * [taylor]: Taking taylor expansion of +nan.0 in im 0.461 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.461 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.461 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.461 * [taylor]: Taking taylor expansion of 2.0 in im 0.461 * [backup-simplify]: Simplify 2.0 into 2.0 0.461 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.462 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.462 * [taylor]: Taking taylor expansion of im in im 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.462 * [backup-simplify]: Simplify (* 1 1) into 1 0.462 * [backup-simplify]: Simplify (* 1 1) into 1 0.463 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.463 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.463 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.463 * [taylor]: Taking taylor expansion of +nan.0 in im 0.463 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.463 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.463 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.463 * [taylor]: Taking taylor expansion of 2.0 in im 0.463 * [backup-simplify]: Simplify 2.0 into 2.0 0.463 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.464 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.464 * [taylor]: Taking taylor expansion of im in im 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (* 1 1) into 1 0.464 * [backup-simplify]: Simplify (* 1 1) into 1 0.464 * [backup-simplify]: Simplify (* 1 1) into 1 0.465 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.465 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.467 * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.471 * [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 0.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.474 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.480 * [backup-simplify]: Simplify (+ (* 1 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.490 * [backup-simplify]: Simplify (- 0) into 0 0.490 * [backup-simplify]: Simplify (+ 0 0) into 0 0.491 * [backup-simplify]: Simplify (- 0) into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 1) 0.491 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.491 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.491 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.491 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.491 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.491 * [taylor]: Taking taylor expansion of (* re re) in im 0.491 * [taylor]: Taking taylor expansion of re in im 0.491 * [backup-simplify]: Simplify re into re 0.491 * [taylor]: Taking taylor expansion of re in im 0.491 * [backup-simplify]: Simplify re into re 0.491 * [taylor]: Taking taylor expansion of (* im im) in im 0.491 * [taylor]: Taking taylor expansion of im in im 0.491 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [taylor]: Taking taylor expansion of im in im 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.492 * [backup-simplify]: Simplify (* 0 0) into 0 0.492 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.492 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.493 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.493 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.494 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.494 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.494 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.494 * [taylor]: Taking taylor expansion of (* re re) in re 0.494 * [taylor]: Taking taylor expansion of re in re 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.494 * [taylor]: Taking taylor expansion of re in re 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.494 * [taylor]: Taking taylor expansion of (* im im) in re 0.494 * [taylor]: Taking taylor expansion of im in re 0.494 * [backup-simplify]: Simplify im into im 0.494 * [taylor]: Taking taylor expansion of im in re 0.494 * [backup-simplify]: Simplify im into im 0.495 * [backup-simplify]: Simplify (* 0 0) into 0 0.495 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.495 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.495 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.496 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.496 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.496 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.496 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.497 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.497 * [taylor]: Taking taylor expansion of (* re re) in re 0.497 * [taylor]: Taking taylor expansion of re in re 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [taylor]: Taking taylor expansion of re in re 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [taylor]: Taking taylor expansion of (* im im) in re 0.497 * [taylor]: Taking taylor expansion of im in re 0.497 * [backup-simplify]: Simplify im into im 0.497 * [taylor]: Taking taylor expansion of im in re 0.497 * [backup-simplify]: Simplify im into im 0.497 * [backup-simplify]: Simplify (* 0 0) into 0 0.497 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.497 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.498 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.498 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.498 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.499 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.499 * [taylor]: Taking taylor expansion of im in im 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [taylor]: Taking taylor expansion of 0 in im 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.500 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.501 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.501 * [backup-simplify]: Simplify (+ 1 0) into 1 0.502 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.502 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.502 * [taylor]: Taking taylor expansion of 1/2 in im 0.502 * [backup-simplify]: Simplify 1/2 into 1/2 0.502 * [taylor]: Taking taylor expansion of im in im 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) 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 0.504 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.505 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.506 * [backup-simplify]: Simplify (+ 0 0) into 0 0.506 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.506 * [taylor]: Taking taylor expansion of 0 in im 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.507 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.507 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.507 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.507 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.507 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.508 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.508 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.508 * [taylor]: Taking taylor expansion of re in im 0.508 * [backup-simplify]: Simplify re into re 0.508 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.508 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.508 * [taylor]: Taking taylor expansion of re in im 0.508 * [backup-simplify]: Simplify re into re 0.508 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.508 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.508 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.508 * [taylor]: Taking taylor expansion of im in im 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (/ 1 1) into 1 0.508 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.508 * [taylor]: Taking taylor expansion of im in im 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify (/ 1 1) into 1 0.509 * [backup-simplify]: Simplify (* 1 1) into 1 0.510 * [backup-simplify]: Simplify (+ 0 1) into 1 0.510 * [backup-simplify]: Simplify (sqrt 1) into 1 0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.513 * [backup-simplify]: Simplify (+ 0 0) into 0 0.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.514 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.514 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.514 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.514 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.514 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.514 * [taylor]: Taking taylor expansion of re in re 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify (/ 1 1) into 1 0.514 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.514 * [taylor]: Taking taylor expansion of re in re 0.514 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (/ 1 1) into 1 0.515 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.515 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.515 * [taylor]: Taking taylor expansion of im in re 0.515 * [backup-simplify]: Simplify im into im 0.515 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.515 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.515 * [taylor]: Taking taylor expansion of im in re 0.515 * [backup-simplify]: Simplify im into im 0.515 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.516 * [backup-simplify]: Simplify (* 1 1) into 1 0.516 * [backup-simplify]: Simplify (+ 1 0) into 1 0.517 * [backup-simplify]: Simplify (sqrt 1) into 1 0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.519 * [backup-simplify]: Simplify (+ 0 0) into 0 0.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.520 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 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 re 0.520 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.520 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.520 * [taylor]: Taking taylor expansion of re in re 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (/ 1 1) into 1 0.520 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.520 * [taylor]: Taking taylor expansion of re in re 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (/ 1 1) into 1 0.520 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.520 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.520 * [taylor]: Taking taylor expansion of im in re 0.520 * [backup-simplify]: Simplify im into im 0.520 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.520 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.520 * [taylor]: Taking taylor expansion of im in re 0.520 * [backup-simplify]: Simplify im into im 0.521 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.521 * [backup-simplify]: Simplify (* 1 1) into 1 0.521 * [backup-simplify]: Simplify (+ 1 0) into 1 0.521 * [backup-simplify]: Simplify (sqrt 1) into 1 0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.523 * [backup-simplify]: Simplify (+ 0 0) into 0 0.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.523 * [taylor]: Taking taylor expansion of 1 in im 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [taylor]: Taking taylor expansion of 0 in im 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.525 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.525 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.526 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.526 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.526 * [taylor]: Taking taylor expansion of 1/2 in im 0.526 * [backup-simplify]: Simplify 1/2 into 1/2 0.526 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.526 * [taylor]: Taking taylor expansion of im in im 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (* 1 1) into 1 0.527 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.530 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.530 * [backup-simplify]: Simplify (+ 0 0) into 0 0.530 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.530 * [taylor]: Taking taylor expansion of 0 in im 0.530 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.532 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.532 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.532 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.532 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.532 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.532 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.532 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.532 * [taylor]: Taking taylor expansion of -1 in im 0.532 * [backup-simplify]: Simplify -1 into -1 0.532 * [taylor]: Taking taylor expansion of re in im 0.532 * [backup-simplify]: Simplify re into re 0.532 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.532 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.532 * [taylor]: Taking taylor expansion of -1 in im 0.532 * [backup-simplify]: Simplify -1 into -1 0.532 * [taylor]: Taking taylor expansion of re in im 0.532 * [backup-simplify]: Simplify re into re 0.532 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.532 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.532 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.532 * [taylor]: Taking taylor expansion of -1 in im 0.532 * [backup-simplify]: Simplify -1 into -1 0.532 * [taylor]: Taking taylor expansion of im in im 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify (/ -1 1) into -1 0.533 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.533 * [taylor]: Taking taylor expansion of -1 in im 0.533 * [backup-simplify]: Simplify -1 into -1 0.533 * [taylor]: Taking taylor expansion of im in im 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify (/ -1 1) into -1 0.533 * [backup-simplify]: Simplify (* -1 -1) into 1 0.533 * [backup-simplify]: Simplify (+ 0 1) into 1 0.534 * [backup-simplify]: Simplify (sqrt 1) into 1 0.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.535 * [backup-simplify]: Simplify (+ 0 0) into 0 0.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.536 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.536 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.536 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.536 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.536 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.536 * [taylor]: Taking taylor expansion of -1 in re 0.536 * [backup-simplify]: Simplify -1 into -1 0.536 * [taylor]: Taking taylor expansion of re in re 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [backup-simplify]: Simplify (/ -1 1) into -1 0.536 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.536 * [taylor]: Taking taylor expansion of -1 in re 0.536 * [backup-simplify]: Simplify -1 into -1 0.536 * [taylor]: Taking taylor expansion of re in re 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.537 * [backup-simplify]: Simplify (/ -1 1) into -1 0.537 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.537 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.537 * [taylor]: Taking taylor expansion of -1 in re 0.537 * [backup-simplify]: Simplify -1 into -1 0.537 * [taylor]: Taking taylor expansion of im in re 0.537 * [backup-simplify]: Simplify im into im 0.537 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.537 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.537 * [taylor]: Taking taylor expansion of -1 in re 0.537 * [backup-simplify]: Simplify -1 into -1 0.537 * [taylor]: Taking taylor expansion of im in re 0.537 * [backup-simplify]: Simplify im into im 0.537 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.537 * [backup-simplify]: Simplify (* -1 -1) into 1 0.537 * [backup-simplify]: Simplify (+ 1 0) into 1 0.538 * [backup-simplify]: Simplify (sqrt 1) into 1 0.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.539 * [backup-simplify]: Simplify (+ 0 0) into 0 0.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.540 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.540 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.540 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.540 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.540 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.540 * [taylor]: Taking taylor expansion of -1 in re 0.540 * [backup-simplify]: Simplify -1 into -1 0.540 * [taylor]: Taking taylor expansion of re in re 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (/ -1 1) into -1 0.540 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.540 * [taylor]: Taking taylor expansion of -1 in re 0.540 * [backup-simplify]: Simplify -1 into -1 0.540 * [taylor]: Taking taylor expansion of re in re 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.541 * [backup-simplify]: Simplify (/ -1 1) into -1 0.541 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.541 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.541 * [taylor]: Taking taylor expansion of -1 in re 0.541 * [backup-simplify]: Simplify -1 into -1 0.541 * [taylor]: Taking taylor expansion of im in re 0.541 * [backup-simplify]: Simplify im into im 0.541 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.541 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.541 * [taylor]: Taking taylor expansion of -1 in re 0.541 * [backup-simplify]: Simplify -1 into -1 0.541 * [taylor]: Taking taylor expansion of im in re 0.541 * [backup-simplify]: Simplify im into im 0.541 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.541 * [backup-simplify]: Simplify (* -1 -1) into 1 0.541 * [backup-simplify]: Simplify (+ 1 0) into 1 0.542 * [backup-simplify]: Simplify (sqrt 1) into 1 0.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.543 * [backup-simplify]: Simplify (+ 0 0) into 0 0.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.544 * [taylor]: Taking taylor expansion of 1 in im 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [taylor]: Taking taylor expansion of 0 in im 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.546 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.546 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.547 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.547 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.547 * [taylor]: Taking taylor expansion of 1/2 in im 0.547 * [backup-simplify]: Simplify 1/2 into 1/2 0.547 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.547 * [taylor]: Taking taylor expansion of im in im 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 1 into 1 0.547 * [backup-simplify]: Simplify (* 1 1) into 1 0.547 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.550 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.550 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.550 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.550 * [backup-simplify]: Simplify (+ 0 0) into 0 0.551 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.551 * [taylor]: Taking taylor expansion of 0 in im 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.552 * * * [progress]: simplifying candidates 0.553 * [simplify]: Simplifying: (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (* (exp (hypot re im)) (exp re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (sqrt (* (+ (hypot re im) re) 2.0))) (log1p (sqrt (* (+ (hypot re im) re) 2.0))) (log (sqrt (* (+ (hypot re im) re) 2.0))) (exp (sqrt (* (+ (hypot re im) re) 2.0))) (* (cbrt (sqrt (* (+ (hypot re im) re) 2.0))) (cbrt (sqrt (* (+ (hypot re im) re) 2.0)))) (cbrt (sqrt (* (+ (hypot re im) re) 2.0))) (* (* (sqrt (* (+ (hypot re im) re) 2.0)) (sqrt (* (+ (hypot re im) re) 2.0))) (sqrt (* (+ (hypot re im) re) 2.0))) (sqrt (+ (hypot re im) re)) (sqrt 2.0) (sqrt (* (+ (pow (hypot re im) 3) (pow re 3)) 2.0)) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))) (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0)) (sqrt (- (hypot re im) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (+ (hypot re im) re) 2.0))) (sqrt (sqrt (* (+ (hypot re im) re) 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) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 0 im re (* -1 re) 0.553 * * [simplify]: iteration 0: 86 enodes 0.569 * * [simplify]: iteration 1: 187 enodes 0.610 * * [simplify]: iteration 2: 612 enodes 1.361 * * [simplify]: iteration 3: 3673 enodes 2.273 * * [simplify]: iteration complete: 5000 enodes 2.273 * * [simplify]: Extracting #0: cost 44 inf + 0 2.274 * * [simplify]: Extracting #1: cost 428 inf + 9 2.279 * * [simplify]: Extracting #2: cost 1049 inf + 1193 2.284 * * [simplify]: Extracting #3: cost 280 inf + 7718 2.290 * * [simplify]: Extracting #4: cost 10 inf + 9894 2.296 * * [simplify]: Extracting #5: cost 0 inf + 9970 2.302 * * [simplify]: Extracting #6: cost 0 inf + 9969 2.307 * [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 (hypot re im) 3) (pow re 3)) (fma (hypot re im) (+ (- re) (hypot re im)) (* re re)) (fma re (- re) (* (hypot re im) (hypot re im))) (- (hypot re im) re) (+ 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 (* 2.0 (+ (pow (hypot re im) 3) (pow re 3)))) (sqrt (fma (hypot re im) (+ (- re) (hypot re im)) (* re re))) (sqrt (* 2.0 (fma re (- re) (* (hypot re im) (hypot re im))))) (sqrt (- (hypot re im) re)) 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)) (+ im re) (* re 2) 0 (* (* +nan.0 (sqrt 2.0)) (fma re (- re) (- im re))) (* +nan.0 (+ (- (sqrt 2.0)) (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re))))) 0 im re (- re) 2.308 * * * [progress]: adding candidates to table 2.616 * * [progress]: iteration 2 / 4 2.616 * * * [progress]: picking best candidate 2.662 * * * * [pick]: Picked # 2.662 * * * [progress]: localizing error 2.679 * * * [progress]: generating rewritten candidates 2.679 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 2.684 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.706 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 2.707 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.728 * * * [progress]: generating series expansions 2.728 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 2.728 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ (hypot re im) re) 2.728 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 2.728 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 2.728 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.729 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.729 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.729 * [taylor]: Taking taylor expansion of (* re re) in im 2.729 * [taylor]: Taking taylor expansion of re in im 2.729 * [backup-simplify]: Simplify re into re 2.729 * [taylor]: Taking taylor expansion of re in im 2.729 * [backup-simplify]: Simplify re into re 2.729 * [taylor]: Taking taylor expansion of (* im im) in im 2.729 * [taylor]: Taking taylor expansion of im in im 2.729 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify 1 into 1 2.729 * [taylor]: Taking taylor expansion of im in im 2.729 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify 1 into 1 2.729 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.730 * [backup-simplify]: Simplify (* 0 0) into 0 2.731 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.731 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.731 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.731 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.732 * [backup-simplify]: Simplify (+ 0 0) into 0 2.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.732 * [taylor]: Taking taylor expansion of re in im 2.732 * [backup-simplify]: Simplify re into re 2.732 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 2.732 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.732 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.732 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.732 * [taylor]: Taking taylor expansion of (* re re) in re 2.732 * [taylor]: Taking taylor expansion of re in re 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 1 into 1 2.732 * [taylor]: Taking taylor expansion of re in re 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 1 into 1 2.732 * [taylor]: Taking taylor expansion of (* im im) in re 2.732 * [taylor]: Taking taylor expansion of im in re 2.732 * [backup-simplify]: Simplify im into im 2.732 * [taylor]: Taking taylor expansion of im in re 2.732 * [backup-simplify]: Simplify im into im 2.732 * [backup-simplify]: Simplify (* 0 0) into 0 2.732 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.732 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.733 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.733 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.733 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.733 * [backup-simplify]: Simplify (+ 0 0) into 0 2.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.733 * [taylor]: Taking taylor expansion of re in re 2.734 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify 1 into 1 2.734 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 2.734 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.734 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.734 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.734 * [taylor]: Taking taylor expansion of (* re re) in re 2.734 * [taylor]: Taking taylor expansion of re in re 2.734 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify 1 into 1 2.734 * [taylor]: Taking taylor expansion of re in re 2.734 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify 1 into 1 2.734 * [taylor]: Taking taylor expansion of (* im im) in re 2.734 * [taylor]: Taking taylor expansion of im in re 2.734 * [backup-simplify]: Simplify im into im 2.734 * [taylor]: Taking taylor expansion of im in re 2.734 * [backup-simplify]: Simplify im into im 2.734 * [backup-simplify]: Simplify (* 0 0) into 0 2.734 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.734 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.734 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.735 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.735 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.735 * [backup-simplify]: Simplify (+ 0 0) into 0 2.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.735 * [taylor]: Taking taylor expansion of re in re 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify 1 into 1 2.735 * [backup-simplify]: Simplify (+ im 0) into im 2.735 * [taylor]: Taking taylor expansion of im in im 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify 1 into 1 2.735 * [backup-simplify]: Simplify 0 into 0 2.736 * [backup-simplify]: Simplify (+ 0 1) into 1 2.736 * [taylor]: Taking taylor expansion of 1 in im 2.736 * [backup-simplify]: Simplify 1 into 1 2.736 * [backup-simplify]: Simplify 1 into 1 2.736 * [backup-simplify]: Simplify 1 into 1 2.736 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.737 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.737 * [backup-simplify]: Simplify (+ 1 0) into 1 2.737 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.738 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 2.738 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.738 * [taylor]: Taking taylor expansion of 1/2 in im 2.738 * [backup-simplify]: Simplify 1/2 into 1/2 2.738 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.738 * [taylor]: Taking taylor expansion of im in im 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 1 into 1 2.738 * [backup-simplify]: Simplify (/ 1 1) into 1 2.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.739 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.740 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.740 * [backup-simplify]: Simplify (+ 0 0) into 0 2.740 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.741 * [backup-simplify]: Simplify (+ 0 0) into 0 2.741 * [taylor]: Taking taylor expansion of 0 in im 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.742 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.742 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 2.742 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 2.742 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 2.742 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.742 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.742 * [taylor]: Taking taylor expansion of re in im 2.742 * [backup-simplify]: Simplify re into re 2.742 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.742 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.743 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.743 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.743 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.743 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.743 * [taylor]: Taking taylor expansion of re in im 2.743 * [backup-simplify]: Simplify re into re 2.743 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.743 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.743 * [taylor]: Taking taylor expansion of re in im 2.743 * [backup-simplify]: Simplify re into re 2.743 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.743 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.743 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.743 * [taylor]: Taking taylor expansion of im in im 2.743 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify 1 into 1 2.743 * [backup-simplify]: Simplify (/ 1 1) into 1 2.743 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.743 * [taylor]: Taking taylor expansion of im in im 2.743 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify 1 into 1 2.743 * [backup-simplify]: Simplify (/ 1 1) into 1 2.744 * [backup-simplify]: Simplify (* 1 1) into 1 2.744 * [backup-simplify]: Simplify (+ 0 1) into 1 2.744 * [backup-simplify]: Simplify (sqrt 1) into 1 2.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.746 * [backup-simplify]: Simplify (+ 0 0) into 0 2.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.746 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.746 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.746 * [taylor]: Taking taylor expansion of re in re 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify 1 into 1 2.747 * [backup-simplify]: Simplify (/ 1 1) into 1 2.747 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.747 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.747 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.747 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.747 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.747 * [taylor]: Taking taylor expansion of re in re 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 1 into 1 2.747 * [backup-simplify]: Simplify (/ 1 1) into 1 2.747 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.747 * [taylor]: Taking taylor expansion of re in re 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 1 into 1 2.747 * [backup-simplify]: Simplify (/ 1 1) into 1 2.747 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.747 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.747 * [taylor]: Taking taylor expansion of im in re 2.747 * [backup-simplify]: Simplify im into im 2.747 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.748 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.748 * [taylor]: Taking taylor expansion of im in re 2.748 * [backup-simplify]: Simplify im into im 2.748 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.748 * [backup-simplify]: Simplify (* 1 1) into 1 2.748 * [backup-simplify]: Simplify (+ 1 0) into 1 2.748 * [backup-simplify]: Simplify (sqrt 1) into 1 2.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.750 * [backup-simplify]: Simplify (+ 0 0) into 0 2.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.750 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.750 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.750 * [taylor]: Taking taylor expansion of re in re 2.750 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 1 into 1 2.751 * [backup-simplify]: Simplify (/ 1 1) into 1 2.751 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.751 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.751 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.751 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.751 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.751 * [taylor]: Taking taylor expansion of re in re 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 1 into 1 2.751 * [backup-simplify]: Simplify (/ 1 1) into 1 2.751 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.751 * [taylor]: Taking taylor expansion of re in re 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 1 into 1 2.752 * [backup-simplify]: Simplify (/ 1 1) into 1 2.752 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.752 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.752 * [taylor]: Taking taylor expansion of im in re 2.752 * [backup-simplify]: Simplify im into im 2.752 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.752 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.752 * [taylor]: Taking taylor expansion of im in re 2.752 * [backup-simplify]: Simplify im into im 2.752 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.752 * [backup-simplify]: Simplify (* 1 1) into 1 2.753 * [backup-simplify]: Simplify (+ 1 0) into 1 2.753 * [backup-simplify]: Simplify (sqrt 1) into 1 2.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.754 * [backup-simplify]: Simplify (+ 0 0) into 0 2.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.755 * [backup-simplify]: Simplify (+ 1 1) into 2 2.755 * [taylor]: Taking taylor expansion of 2 in im 2.755 * [backup-simplify]: Simplify 2 into 2 2.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.756 * [backup-simplify]: Simplify (+ 0 0) into 0 2.756 * [taylor]: Taking taylor expansion of 0 in im 2.756 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify 2 into 2 2.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.758 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 2.759 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.759 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.760 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.760 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.760 * [taylor]: Taking taylor expansion of 1/2 in im 2.760 * [backup-simplify]: Simplify 1/2 into 1/2 2.760 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.760 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.760 * [taylor]: Taking taylor expansion of im in im 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 1 into 1 2.760 * [backup-simplify]: Simplify (* 1 1) into 1 2.760 * [backup-simplify]: Simplify (/ 1 1) into 1 2.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.761 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.764 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 2.764 * [backup-simplify]: Simplify (+ 0 0) into 0 2.765 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.765 * [backup-simplify]: Simplify (+ 0 0) into 0 2.765 * [taylor]: Taking taylor expansion of 0 in im 2.765 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.767 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.767 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 2.767 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 2.767 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.767 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.767 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.767 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.767 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.767 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.767 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.767 * [taylor]: Taking taylor expansion of -1 in im 2.768 * [backup-simplify]: Simplify -1 into -1 2.768 * [taylor]: Taking taylor expansion of re in im 2.768 * [backup-simplify]: Simplify re into re 2.768 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.768 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.768 * [taylor]: Taking taylor expansion of -1 in im 2.768 * [backup-simplify]: Simplify -1 into -1 2.768 * [taylor]: Taking taylor expansion of re in im 2.768 * [backup-simplify]: Simplify re into re 2.768 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.768 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.768 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.768 * [taylor]: Taking taylor expansion of -1 in im 2.768 * [backup-simplify]: Simplify -1 into -1 2.768 * [taylor]: Taking taylor expansion of im in im 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify 1 into 1 2.768 * [backup-simplify]: Simplify (/ -1 1) into -1 2.768 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.768 * [taylor]: Taking taylor expansion of -1 in im 2.768 * [backup-simplify]: Simplify -1 into -1 2.768 * [taylor]: Taking taylor expansion of im in im 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify 1 into 1 2.768 * [backup-simplify]: Simplify (/ -1 1) into -1 2.769 * [backup-simplify]: Simplify (* -1 -1) into 1 2.769 * [backup-simplify]: Simplify (+ 0 1) into 1 2.769 * [backup-simplify]: Simplify (sqrt 1) into 1 2.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.771 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.771 * [backup-simplify]: Simplify (+ 0 0) into 0 2.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.772 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.772 * [taylor]: Taking taylor expansion of re in im 2.772 * [backup-simplify]: Simplify re into re 2.772 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.772 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.772 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.772 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.772 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.772 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.772 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.772 * [taylor]: Taking taylor expansion of -1 in re 2.772 * [backup-simplify]: Simplify -1 into -1 2.772 * [taylor]: Taking taylor expansion of re in re 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify 1 into 1 2.772 * [backup-simplify]: Simplify (/ -1 1) into -1 2.772 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.772 * [taylor]: Taking taylor expansion of -1 in re 2.772 * [backup-simplify]: Simplify -1 into -1 2.772 * [taylor]: Taking taylor expansion of re in re 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify 1 into 1 2.773 * [backup-simplify]: Simplify (/ -1 1) into -1 2.773 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.773 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.773 * [taylor]: Taking taylor expansion of -1 in re 2.773 * [backup-simplify]: Simplify -1 into -1 2.773 * [taylor]: Taking taylor expansion of im in re 2.773 * [backup-simplify]: Simplify im into im 2.773 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.773 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.773 * [taylor]: Taking taylor expansion of -1 in re 2.773 * [backup-simplify]: Simplify -1 into -1 2.773 * [taylor]: Taking taylor expansion of im in re 2.773 * [backup-simplify]: Simplify im into im 2.773 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.773 * [backup-simplify]: Simplify (* -1 -1) into 1 2.773 * [backup-simplify]: Simplify (+ 1 0) into 1 2.774 * [backup-simplify]: Simplify (sqrt 1) into 1 2.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.775 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.776 * [backup-simplify]: Simplify (+ 0 0) into 0 2.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.777 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.777 * [taylor]: Taking taylor expansion of re in re 2.777 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify 1 into 1 2.777 * [backup-simplify]: Simplify (/ 1 1) into 1 2.777 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.777 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.777 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.777 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.777 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.778 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.778 * [taylor]: Taking taylor expansion of -1 in re 2.778 * [backup-simplify]: Simplify -1 into -1 2.778 * [taylor]: Taking taylor expansion of re in re 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 1 into 1 2.778 * [backup-simplify]: Simplify (/ -1 1) into -1 2.778 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.778 * [taylor]: Taking taylor expansion of -1 in re 2.778 * [backup-simplify]: Simplify -1 into -1 2.778 * [taylor]: Taking taylor expansion of re in re 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 1 into 1 2.779 * [backup-simplify]: Simplify (/ -1 1) into -1 2.779 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.779 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.779 * [taylor]: Taking taylor expansion of -1 in re 2.779 * [backup-simplify]: Simplify -1 into -1 2.779 * [taylor]: Taking taylor expansion of im in re 2.779 * [backup-simplify]: Simplify im into im 2.779 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.779 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.779 * [taylor]: Taking taylor expansion of -1 in re 2.779 * [backup-simplify]: Simplify -1 into -1 2.779 * [taylor]: Taking taylor expansion of im in re 2.779 * [backup-simplify]: Simplify im into im 2.779 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.780 * [backup-simplify]: Simplify (* -1 -1) into 1 2.780 * [backup-simplify]: Simplify (+ 1 0) into 1 2.781 * [backup-simplify]: Simplify (sqrt 1) into 1 2.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.783 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.784 * [backup-simplify]: Simplify (+ 0 0) into 0 2.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.785 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.785 * [taylor]: Taking taylor expansion of re in re 2.785 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify 1 into 1 2.785 * [backup-simplify]: Simplify (/ 1 1) into 1 2.786 * [backup-simplify]: Simplify (- 1) into -1 2.786 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.786 * [taylor]: Taking taylor expansion of 0 in im 2.786 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.787 * [backup-simplify]: Simplify (- 0) into 0 2.788 * [backup-simplify]: Simplify (+ 0 0) into 0 2.788 * [taylor]: Taking taylor expansion of 0 in im 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 0 into 0 2.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.791 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.791 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 2.791 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.793 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.794 * [backup-simplify]: Simplify (- 0) into 0 2.794 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.794 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.795 * [taylor]: Taking taylor expansion of 1/2 in im 2.795 * [backup-simplify]: Simplify 1/2 into 1/2 2.795 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.795 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.795 * [taylor]: Taking taylor expansion of im in im 2.795 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify 1 into 1 2.795 * [backup-simplify]: Simplify (* 1 1) into 1 2.795 * [backup-simplify]: Simplify (/ 1 1) into 1 2.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.798 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.801 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.802 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.802 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.802 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 2.802 * [backup-simplify]: Simplify (+ 0 0) into 0 2.803 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.804 * [backup-simplify]: Simplify (- 0) into 0 2.805 * [backup-simplify]: Simplify (+ 0 0) into 0 2.805 * [taylor]: Taking taylor expansion of 0 in im 2.805 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.808 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify 0 into 0 2.808 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.809 * [backup-simplify]: Simplify (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) into (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) 2.809 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in (re im) around 0 2.809 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in im 2.809 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im 2.809 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 2.809 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.809 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.809 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.809 * [taylor]: Taking taylor expansion of (* re re) in im 2.809 * [taylor]: Taking taylor expansion of re in im 2.809 * [backup-simplify]: Simplify re into re 2.809 * [taylor]: Taking taylor expansion of re in im 2.809 * [backup-simplify]: Simplify re into re 2.809 * [taylor]: Taking taylor expansion of (* im im) in im 2.809 * [taylor]: Taking taylor expansion of im in im 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 1 into 1 2.810 * [taylor]: Taking taylor expansion of im in im 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify 1 into 1 2.810 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.810 * [backup-simplify]: Simplify (* 0 0) into 0 2.810 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.810 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.810 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.811 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.812 * [backup-simplify]: Simplify (+ 0 0) into 0 2.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.812 * [taylor]: Taking taylor expansion of re in im 2.812 * [backup-simplify]: Simplify re into re 2.812 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 2.812 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 2.812 * [backup-simplify]: Simplify (+ 0 0) into 0 2.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 2.813 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.813 * [taylor]: Taking taylor expansion of 2.0 in im 2.813 * [backup-simplify]: Simplify 2.0 into 2.0 2.813 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.814 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in re 2.814 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 2.814 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 2.814 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.814 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.814 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.814 * [taylor]: Taking taylor expansion of (* re re) in re 2.814 * [taylor]: Taking taylor expansion of re in re 2.814 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify 1 into 1 2.814 * [taylor]: Taking taylor expansion of re in re 2.814 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify 1 into 1 2.814 * [taylor]: Taking taylor expansion of (* im im) in re 2.814 * [taylor]: Taking taylor expansion of im in re 2.814 * [backup-simplify]: Simplify im into im 2.815 * [taylor]: Taking taylor expansion of im in re 2.815 * [backup-simplify]: Simplify im into im 2.815 * [backup-simplify]: Simplify (* 0 0) into 0 2.815 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.815 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.815 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.816 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.816 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.817 * [backup-simplify]: Simplify (+ 0 0) into 0 2.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.817 * [taylor]: Taking taylor expansion of re in re 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify 1 into 1 2.817 * [backup-simplify]: Simplify (+ im 0) into im 2.817 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 2.817 * [backup-simplify]: Simplify (+ 0 1) into 1 2.818 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 2.818 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.818 * [taylor]: Taking taylor expansion of 2.0 in re 2.818 * [backup-simplify]: Simplify 2.0 into 2.0 2.818 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.819 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in re 2.819 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 2.819 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 2.819 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.819 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.819 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.819 * [taylor]: Taking taylor expansion of (* re re) in re 2.819 * [taylor]: Taking taylor expansion of re in re 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify 1 into 1 2.819 * [taylor]: Taking taylor expansion of re in re 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify 1 into 1 2.819 * [taylor]: Taking taylor expansion of (* im im) in re 2.819 * [taylor]: Taking taylor expansion of im in re 2.819 * [backup-simplify]: Simplify im into im 2.819 * [taylor]: Taking taylor expansion of im in re 2.819 * [backup-simplify]: Simplify im into im 2.820 * [backup-simplify]: Simplify (* 0 0) into 0 2.820 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.820 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.820 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.821 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.821 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.822 * [backup-simplify]: Simplify (+ 0 0) into 0 2.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.822 * [taylor]: Taking taylor expansion of re in re 2.822 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify 1 into 1 2.822 * [backup-simplify]: Simplify (+ im 0) into im 2.822 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 2.822 * [backup-simplify]: Simplify (+ 0 1) into 1 2.823 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 2.823 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.823 * [taylor]: Taking taylor expansion of 2.0 in re 2.823 * [backup-simplify]: Simplify 2.0 into 2.0 2.823 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.824 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im)) 2.824 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 2.824 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.824 * [taylor]: Taking taylor expansion of 2.0 in im 2.825 * [backup-simplify]: Simplify 2.0 into 2.0 2.825 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.826 * [taylor]: Taking taylor expansion of (sqrt im) in im 2.826 * [taylor]: Taking taylor expansion of im in im 2.826 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify 1 into 1 2.826 * [backup-simplify]: Simplify (sqrt 0) into 0 2.828 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.829 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.829 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 2.830 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 2.830 * [taylor]: Taking taylor expansion of 1/2 in im 2.830 * [backup-simplify]: Simplify 1/2 into 1/2 2.830 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 2.830 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.830 * [taylor]: Taking taylor expansion of 2.0 in im 2.830 * [backup-simplify]: Simplify 2.0 into 2.0 2.830 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.831 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 2.831 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.831 * [taylor]: Taking taylor expansion of im in im 2.831 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify 1 into 1 2.832 * [backup-simplify]: Simplify (/ 1 1) into 1 2.832 * [backup-simplify]: Simplify (sqrt 0) into 0 2.833 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.836 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.836 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.841 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.842 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.844 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.846 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.847 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.851 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.852 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.852 * [backup-simplify]: Simplify (+ 1 0) into 1 2.853 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.853 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 2.854 * [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)))) 2.855 * [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))))) 2.855 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 2.855 * [taylor]: Taking taylor expansion of 1/8 in im 2.855 * [backup-simplify]: Simplify 1/8 into 1/8 2.855 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 2.855 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.855 * [taylor]: Taking taylor expansion of 2.0 in im 2.855 * [backup-simplify]: Simplify 2.0 into 2.0 2.855 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.856 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 2.856 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 2.856 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.856 * [taylor]: Taking taylor expansion of im in im 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify 1 into 1 2.857 * [backup-simplify]: Simplify (* 1 1) into 1 2.857 * [backup-simplify]: Simplify (* 1 1) into 1 2.857 * [backup-simplify]: Simplify (/ 1 1) into 1 2.858 * [backup-simplify]: Simplify (sqrt 0) into 0 2.859 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.864 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.865 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.868 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 2.870 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.870 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.875 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 2.877 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.882 * [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))))))) 2.883 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) 2.883 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0 2.883 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 2.883 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.883 * [taylor]: Taking taylor expansion of 2.0 in im 2.883 * [backup-simplify]: Simplify 2.0 into 2.0 2.883 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.884 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 2.884 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.884 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.884 * [taylor]: Taking taylor expansion of re in im 2.884 * [backup-simplify]: Simplify re into re 2.884 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.884 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.885 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.885 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.885 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.885 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.885 * [taylor]: Taking taylor expansion of re in im 2.885 * [backup-simplify]: Simplify re into re 2.885 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.885 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.885 * [taylor]: Taking taylor expansion of re in im 2.885 * [backup-simplify]: Simplify re into re 2.885 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.885 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.885 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.885 * [taylor]: Taking taylor expansion of im in im 2.885 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify 1 into 1 2.886 * [backup-simplify]: Simplify (/ 1 1) into 1 2.886 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.886 * [taylor]: Taking taylor expansion of im in im 2.886 * [backup-simplify]: Simplify 0 into 0 2.886 * [backup-simplify]: Simplify 1 into 1 2.886 * [backup-simplify]: Simplify (/ 1 1) into 1 2.887 * [backup-simplify]: Simplify (* 1 1) into 1 2.887 * [backup-simplify]: Simplify (+ 0 1) into 1 2.887 * [backup-simplify]: Simplify (sqrt 1) into 1 2.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.890 * [backup-simplify]: Simplify (+ 0 0) into 0 2.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.892 * [backup-simplify]: Simplify (+ 0 1) into 1 2.892 * [backup-simplify]: Simplify (sqrt 0) into 0 2.894 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.894 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 2.894 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.894 * [taylor]: Taking taylor expansion of 2.0 in re 2.894 * [backup-simplify]: Simplify 2.0 into 2.0 2.894 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.895 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 2.895 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.895 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.895 * [taylor]: Taking taylor expansion of re in re 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 1 into 1 2.895 * [backup-simplify]: Simplify (/ 1 1) into 1 2.895 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.896 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.896 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.896 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.896 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.896 * [taylor]: Taking taylor expansion of re in re 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 1 into 1 2.896 * [backup-simplify]: Simplify (/ 1 1) into 1 2.896 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.896 * [taylor]: Taking taylor expansion of re in re 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 1 into 1 2.897 * [backup-simplify]: Simplify (/ 1 1) into 1 2.897 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.897 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.897 * [taylor]: Taking taylor expansion of im in re 2.897 * [backup-simplify]: Simplify im into im 2.897 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.897 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.897 * [taylor]: Taking taylor expansion of im in re 2.897 * [backup-simplify]: Simplify im into im 2.897 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.897 * [backup-simplify]: Simplify (* 1 1) into 1 2.898 * [backup-simplify]: Simplify (+ 1 0) into 1 2.898 * [backup-simplify]: Simplify (sqrt 1) into 1 2.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.901 * [backup-simplify]: Simplify (+ 0 0) into 0 2.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.902 * [backup-simplify]: Simplify (+ 1 1) into 2 2.902 * [backup-simplify]: Simplify (sqrt 0) into 0 2.904 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 2.904 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 2.904 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.904 * [taylor]: Taking taylor expansion of 2.0 in re 2.904 * [backup-simplify]: Simplify 2.0 into 2.0 2.904 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.905 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 2.905 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.905 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.905 * [taylor]: Taking taylor expansion of re in re 2.905 * [backup-simplify]: Simplify 0 into 0 2.905 * [backup-simplify]: Simplify 1 into 1 2.905 * [backup-simplify]: Simplify (/ 1 1) into 1 2.905 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.906 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.906 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.906 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.906 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.906 * [taylor]: Taking taylor expansion of re in re 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify 1 into 1 2.906 * [backup-simplify]: Simplify (/ 1 1) into 1 2.906 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.906 * [taylor]: Taking taylor expansion of re in re 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify 1 into 1 2.907 * [backup-simplify]: Simplify (/ 1 1) into 1 2.907 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.907 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.907 * [taylor]: Taking taylor expansion of im in re 2.907 * [backup-simplify]: Simplify im into im 2.907 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.907 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.907 * [taylor]: Taking taylor expansion of im in re 2.907 * [backup-simplify]: Simplify im into im 2.907 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.907 * [backup-simplify]: Simplify (* 1 1) into 1 2.908 * [backup-simplify]: Simplify (+ 1 0) into 1 2.908 * [backup-simplify]: Simplify (sqrt 1) into 1 2.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.911 * [backup-simplify]: Simplify (+ 0 0) into 0 2.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.912 * [backup-simplify]: Simplify (+ 1 1) into 2 2.912 * [backup-simplify]: Simplify (sqrt 0) into 0 2.913 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 2.914 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.914 * [taylor]: Taking taylor expansion of 0 in im 2.914 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.916 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.916 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.916 * [taylor]: Taking taylor expansion of +nan.0 in im 2.916 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.916 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.916 * [taylor]: Taking taylor expansion of 2.0 in im 2.916 * [backup-simplify]: Simplify 2.0 into 2.0 2.916 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.917 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.918 * [backup-simplify]: Simplify (+ 0 0) into 0 2.921 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.922 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.925 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 2.925 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.925 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.925 * [taylor]: Taking taylor expansion of +nan.0 in im 2.925 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.925 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.925 * [taylor]: Taking taylor expansion of 2.0 in im 2.925 * [backup-simplify]: Simplify 2.0 into 2.0 2.926 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.927 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.929 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.930 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.930 * [backup-simplify]: Simplify 0 into 0 2.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.934 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 2.934 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.935 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.936 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.938 * [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)) 2.939 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.940 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 2.941 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 2.941 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 2.941 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.941 * [taylor]: Taking taylor expansion of +nan.0 in im 2.941 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.941 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.941 * [taylor]: Taking taylor expansion of 2.0 in im 2.941 * [backup-simplify]: Simplify 2.0 into 2.0 2.941 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.942 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 2.942 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.942 * [taylor]: Taking taylor expansion of +nan.0 in im 2.942 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.942 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.942 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.942 * [taylor]: Taking taylor expansion of 2.0 in im 2.942 * [backup-simplify]: Simplify 2.0 into 2.0 2.943 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.944 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.944 * [taylor]: Taking taylor expansion of im in im 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 1 into 1 2.944 * [backup-simplify]: Simplify (* 1 1) into 1 2.945 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.947 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.948 * [backup-simplify]: Simplify (- 0) into 0 2.948 * [backup-simplify]: Simplify (+ 0 0) into 0 2.948 * [backup-simplify]: Simplify (- 0) into 0 2.948 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.951 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.953 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.954 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.954 * [backup-simplify]: Simplify (- 0) into 0 2.954 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.959 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 2.959 * [backup-simplify]: Simplify (+ 0 0) into 0 2.960 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.961 * [backup-simplify]: Simplify (+ 0 0) into 0 2.962 * [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))) 2.963 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.966 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 2.966 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 2.966 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 2.966 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.966 * [taylor]: Taking taylor expansion of +nan.0 in im 2.966 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.966 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.966 * [taylor]: Taking taylor expansion of 2.0 in im 2.966 * [backup-simplify]: Simplify 2.0 into 2.0 2.967 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.967 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 2.967 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.967 * [taylor]: Taking taylor expansion of +nan.0 in im 2.967 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.967 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.968 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.968 * [taylor]: Taking taylor expansion of 2.0 in im 2.968 * [backup-simplify]: Simplify 2.0 into 2.0 2.968 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.969 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.969 * [taylor]: Taking taylor expansion of im in im 2.969 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify 1 into 1 2.969 * [backup-simplify]: Simplify (* 1 1) into 1 2.970 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.973 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.974 * [backup-simplify]: Simplify (- 0) into 0 2.974 * [backup-simplify]: Simplify (+ 0 0) into 0 2.974 * [backup-simplify]: Simplify (- 0) into 0 2.974 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.977 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.980 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 2.980 * [backup-simplify]: Simplify (- 0) into 0 2.982 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 2.984 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.985 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.990 * [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) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 2.991 * [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)) 2.991 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 2.991 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in im 2.991 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.991 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.991 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.992 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.992 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.992 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.992 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.992 * [taylor]: Taking taylor expansion of -1 in im 2.992 * [backup-simplify]: Simplify -1 into -1 2.992 * [taylor]: Taking taylor expansion of re in im 2.992 * [backup-simplify]: Simplify re into re 2.992 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.992 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.992 * [taylor]: Taking taylor expansion of -1 in im 2.992 * [backup-simplify]: Simplify -1 into -1 2.992 * [taylor]: Taking taylor expansion of re in im 2.992 * [backup-simplify]: Simplify re into re 2.992 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.992 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.992 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.992 * [taylor]: Taking taylor expansion of -1 in im 2.992 * [backup-simplify]: Simplify -1 into -1 2.992 * [taylor]: Taking taylor expansion of im in im 2.992 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify 1 into 1 2.993 * [backup-simplify]: Simplify (/ -1 1) into -1 2.993 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.993 * [taylor]: Taking taylor expansion of -1 in im 2.993 * [backup-simplify]: Simplify -1 into -1 2.993 * [taylor]: Taking taylor expansion of im in im 2.993 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify 1 into 1 2.993 * [backup-simplify]: Simplify (/ -1 1) into -1 2.994 * [backup-simplify]: Simplify (* -1 -1) into 1 2.994 * [backup-simplify]: Simplify (+ 0 1) into 1 2.994 * [backup-simplify]: Simplify (sqrt 1) into 1 2.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.999 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.000 * [backup-simplify]: Simplify (+ 0 0) into 0 3.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.000 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.000 * [taylor]: Taking taylor expansion of re in im 3.000 * [backup-simplify]: Simplify re into re 3.001 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.001 * [backup-simplify]: Simplify (+ 1 0) into 1 3.001 * [backup-simplify]: Simplify (sqrt 0) into 0 3.003 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.003 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.003 * [taylor]: Taking taylor expansion of 2.0 in im 3.003 * [backup-simplify]: Simplify 2.0 into 2.0 3.003 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.004 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in re 3.004 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 3.004 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 3.004 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.004 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.004 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.004 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.004 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.004 * [taylor]: Taking taylor expansion of -1 in re 3.004 * [backup-simplify]: Simplify -1 into -1 3.004 * [taylor]: Taking taylor expansion of re in re 3.004 * [backup-simplify]: Simplify 0 into 0 3.004 * [backup-simplify]: Simplify 1 into 1 3.005 * [backup-simplify]: Simplify (/ -1 1) into -1 3.005 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.005 * [taylor]: Taking taylor expansion of -1 in re 3.005 * [backup-simplify]: Simplify -1 into -1 3.005 * [taylor]: Taking taylor expansion of re in re 3.005 * [backup-simplify]: Simplify 0 into 0 3.005 * [backup-simplify]: Simplify 1 into 1 3.005 * [backup-simplify]: Simplify (/ -1 1) into -1 3.005 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.006 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.006 * [taylor]: Taking taylor expansion of -1 in re 3.006 * [backup-simplify]: Simplify -1 into -1 3.006 * [taylor]: Taking taylor expansion of im in re 3.006 * [backup-simplify]: Simplify im into im 3.006 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.006 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.006 * [taylor]: Taking taylor expansion of -1 in re 3.006 * [backup-simplify]: Simplify -1 into -1 3.006 * [taylor]: Taking taylor expansion of im in re 3.006 * [backup-simplify]: Simplify im into im 3.006 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.006 * [backup-simplify]: Simplify (* -1 -1) into 1 3.007 * [backup-simplify]: Simplify (+ 1 0) into 1 3.007 * [backup-simplify]: Simplify (sqrt 1) into 1 3.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.008 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.009 * [backup-simplify]: Simplify (+ 0 0) into 0 3.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.009 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.009 * [taylor]: Taking taylor expansion of re in re 3.009 * [backup-simplify]: Simplify 0 into 0 3.009 * [backup-simplify]: Simplify 1 into 1 3.009 * [backup-simplify]: Simplify (/ 1 1) into 1 3.010 * [backup-simplify]: Simplify (- 1) into -1 3.010 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.011 * [backup-simplify]: Simplify (- 0) into 0 3.011 * [backup-simplify]: Simplify (+ 0 0) into 0 3.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.013 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.013 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 3.013 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.014 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.015 * [backup-simplify]: Simplify (- 0) into 0 3.015 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.015 * [backup-simplify]: Simplify (sqrt 0) into 0 3.015 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 3.015 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.015 * [taylor]: Taking taylor expansion of 2.0 in re 3.015 * [backup-simplify]: Simplify 2.0 into 2.0 3.016 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.016 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in re 3.016 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 3.016 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 3.016 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.016 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.016 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.016 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.016 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.016 * [taylor]: Taking taylor expansion of -1 in re 3.016 * [backup-simplify]: Simplify -1 into -1 3.016 * [taylor]: Taking taylor expansion of re in re 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify 1 into 1 3.017 * [backup-simplify]: Simplify (/ -1 1) into -1 3.017 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.017 * [taylor]: Taking taylor expansion of -1 in re 3.017 * [backup-simplify]: Simplify -1 into -1 3.017 * [taylor]: Taking taylor expansion of re in re 3.017 * [backup-simplify]: Simplify 0 into 0 3.017 * [backup-simplify]: Simplify 1 into 1 3.017 * [backup-simplify]: Simplify (/ -1 1) into -1 3.017 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.017 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.017 * [taylor]: Taking taylor expansion of -1 in re 3.017 * [backup-simplify]: Simplify -1 into -1 3.017 * [taylor]: Taking taylor expansion of im in re 3.017 * [backup-simplify]: Simplify im into im 3.017 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.017 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.017 * [taylor]: Taking taylor expansion of -1 in re 3.017 * [backup-simplify]: Simplify -1 into -1 3.017 * [taylor]: Taking taylor expansion of im in re 3.017 * [backup-simplify]: Simplify im into im 3.017 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.018 * [backup-simplify]: Simplify (* -1 -1) into 1 3.018 * [backup-simplify]: Simplify (+ 1 0) into 1 3.018 * [backup-simplify]: Simplify (sqrt 1) into 1 3.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.020 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.020 * [backup-simplify]: Simplify (+ 0 0) into 0 3.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.020 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.020 * [taylor]: Taking taylor expansion of re in re 3.020 * [backup-simplify]: Simplify 0 into 0 3.020 * [backup-simplify]: Simplify 1 into 1 3.021 * [backup-simplify]: Simplify (/ 1 1) into 1 3.021 * [backup-simplify]: Simplify (- 1) into -1 3.021 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.022 * [backup-simplify]: Simplify (- 0) into 0 3.023 * [backup-simplify]: Simplify (+ 0 0) into 0 3.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.024 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.024 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 3.025 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.025 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.026 * [backup-simplify]: Simplify (- 0) into 0 3.026 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.027 * [backup-simplify]: Simplify (sqrt 0) into 0 3.027 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 3.027 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.027 * [taylor]: Taking taylor expansion of 2.0 in re 3.027 * [backup-simplify]: Simplify 2.0 into 2.0 3.027 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.028 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0 3.028 * [taylor]: Taking taylor expansion of 0 in im 3.028 * [backup-simplify]: Simplify 0 into 0 3.029 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 (pow im 2)) (sqrt 2.0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 3.029 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 3.029 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 3.029 * [taylor]: Taking taylor expansion of +nan.0 in im 3.029 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.029 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 3.029 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.029 * [taylor]: Taking taylor expansion of 2.0 in im 3.029 * [backup-simplify]: Simplify 2.0 into 2.0 3.029 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.030 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.030 * [taylor]: Taking taylor expansion of im in im 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify 1 into 1 3.030 * [backup-simplify]: Simplify (* 1 1) into 1 3.031 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.032 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.032 * [backup-simplify]: Simplify (- 0) into 0 3.032 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.035 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.035 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 3.035 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 3.035 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 3.036 * [backup-simplify]: Simplify (+ 0 0) into 0 3.036 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.037 * [backup-simplify]: Simplify (- 0) into 0 3.037 * [backup-simplify]: Simplify (+ 0 0) into 0 3.038 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 3.038 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 (pow im 2)) 0) (* (/ +nan.0 (pow im 4)) (sqrt 2.0)))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 3.039 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 3.039 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 3.039 * [taylor]: Taking taylor expansion of +nan.0 in im 3.039 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.039 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 3.039 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.039 * [taylor]: Taking taylor expansion of 2.0 in im 3.039 * [backup-simplify]: Simplify 2.0 into 2.0 3.039 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.039 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.039 * [taylor]: Taking taylor expansion of im in im 3.039 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify 1 into 1 3.040 * [backup-simplify]: Simplify (* 1 1) into 1 3.040 * [backup-simplify]: Simplify (* 1 1) into 1 3.040 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.041 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.042 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.049 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 3.050 * [backup-simplify]: Simplify (- 0) into 0 3.050 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.054 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 3.054 * [backup-simplify]: Simplify (- 0) into 0 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.059 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 3.059 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 3.059 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 3.060 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 3.060 * [backup-simplify]: Simplify (+ 0 0) into 0 3.062 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 3.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.063 * [backup-simplify]: Simplify (- 0) into 0 3.063 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 3.064 * [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 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) 3.066 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 (pow im 2)) 0) (+ (* (/ +nan.0 (pow im 4)) 0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 3.066 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 3.066 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 3.066 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 3.066 * [taylor]: Taking taylor expansion of +nan.0 in im 3.066 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.066 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 3.066 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.066 * [taylor]: Taking taylor expansion of 2.0 in im 3.066 * [backup-simplify]: Simplify 2.0 into 2.0 3.066 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.067 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.067 * [taylor]: Taking taylor expansion of im in im 3.067 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify 1 into 1 3.068 * [backup-simplify]: Simplify (* 1 1) into 1 3.068 * [backup-simplify]: Simplify (* 1 1) into 1 3.069 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.069 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 3.069 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 3.069 * [taylor]: Taking taylor expansion of +nan.0 in im 3.069 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.069 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 3.069 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.069 * [taylor]: Taking taylor expansion of 2.0 in im 3.069 * [backup-simplify]: Simplify 2.0 into 2.0 3.070 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.070 * [taylor]: Taking taylor expansion of (pow im 6) in im 3.070 * [taylor]: Taking taylor expansion of im in im 3.070 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify 1 into 1 3.071 * [backup-simplify]: Simplify (* 1 1) into 1 3.071 * [backup-simplify]: Simplify (* 1 1) into 1 3.071 * [backup-simplify]: Simplify (* 1 1) into 1 3.072 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.073 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.075 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.080 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 3.081 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.083 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.084 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.097 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 3.098 * [backup-simplify]: Simplify (- 0) into 0 3.098 * [backup-simplify]: Simplify (+ 0 0) into 0 3.098 * [backup-simplify]: Simplify (- 0) into 0 3.098 * [backup-simplify]: Simplify 0 into 0 3.098 * [backup-simplify]: Simplify 0 into 0 3.099 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 3.099 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 3.099 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 3.099 * [taylor]: Taking taylor expansion of (hypot re im) in im 3.099 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.099 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 3.099 * [taylor]: Taking taylor expansion of (* re re) in im 3.099 * [taylor]: Taking taylor expansion of re in im 3.099 * [backup-simplify]: Simplify re into re 3.099 * [taylor]: Taking taylor expansion of re in im 3.099 * [backup-simplify]: Simplify re into re 3.099 * [taylor]: Taking taylor expansion of (* im im) in im 3.099 * [taylor]: Taking taylor expansion of im in im 3.099 * [backup-simplify]: Simplify 0 into 0 3.099 * [backup-simplify]: Simplify 1 into 1 3.099 * [taylor]: Taking taylor expansion of im in im 3.099 * [backup-simplify]: Simplify 0 into 0 3.099 * [backup-simplify]: Simplify 1 into 1 3.099 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.099 * [backup-simplify]: Simplify (* 0 0) into 0 3.099 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.100 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.100 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.100 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.100 * [backup-simplify]: Simplify (+ 0 0) into 0 3.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.100 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.101 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.101 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.101 * [taylor]: Taking taylor expansion of (* re re) in re 3.101 * [taylor]: Taking taylor expansion of re in re 3.101 * [backup-simplify]: Simplify 0 into 0 3.101 * [backup-simplify]: Simplify 1 into 1 3.101 * [taylor]: Taking taylor expansion of re in re 3.101 * [backup-simplify]: Simplify 0 into 0 3.101 * [backup-simplify]: Simplify 1 into 1 3.101 * [taylor]: Taking taylor expansion of (* im im) in re 3.101 * [taylor]: Taking taylor expansion of im in re 3.101 * [backup-simplify]: Simplify im into im 3.101 * [taylor]: Taking taylor expansion of im in re 3.101 * [backup-simplify]: Simplify im into im 3.101 * [backup-simplify]: Simplify (* 0 0) into 0 3.101 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.101 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.101 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.102 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.102 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.102 * [backup-simplify]: Simplify (+ 0 0) into 0 3.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.102 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.102 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.102 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.102 * [taylor]: Taking taylor expansion of (* re re) in re 3.102 * [taylor]: Taking taylor expansion of re in re 3.102 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify 1 into 1 3.102 * [taylor]: Taking taylor expansion of re in re 3.102 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify 1 into 1 3.102 * [taylor]: Taking taylor expansion of (* im im) in re 3.102 * [taylor]: Taking taylor expansion of im in re 3.102 * [backup-simplify]: Simplify im into im 3.102 * [taylor]: Taking taylor expansion of im in re 3.102 * [backup-simplify]: Simplify im into im 3.104 * [backup-simplify]: Simplify (* 0 0) into 0 3.104 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.104 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.105 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.105 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.105 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.105 * [backup-simplify]: Simplify (+ 0 0) into 0 3.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.106 * [taylor]: Taking taylor expansion of im in im 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify 1 into 1 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [taylor]: Taking taylor expansion of 0 in im 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify 1 into 1 3.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.107 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.107 * [backup-simplify]: Simplify (+ 1 0) into 1 3.107 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.107 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.107 * [taylor]: Taking taylor expansion of 1/2 in im 3.107 * [backup-simplify]: Simplify 1/2 into 1/2 3.107 * [taylor]: Taking taylor expansion of im in im 3.107 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify 1 into 1 3.108 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.108 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.110 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.110 * [backup-simplify]: Simplify (+ 0 0) into 0 3.110 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.110 * [taylor]: Taking taylor expansion of 0 in im 3.110 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.111 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 3.111 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 3.111 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 3.111 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.111 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 3.111 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 3.111 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.111 * [taylor]: Taking taylor expansion of re in im 3.111 * [backup-simplify]: Simplify re into re 3.111 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.111 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.111 * [taylor]: Taking taylor expansion of re in im 3.111 * [backup-simplify]: Simplify re into re 3.111 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.111 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 3.111 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.111 * [taylor]: Taking taylor expansion of im in im 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 1 into 1 3.112 * [backup-simplify]: Simplify (/ 1 1) into 1 3.112 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.112 * [taylor]: Taking taylor expansion of im in im 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify 1 into 1 3.112 * [backup-simplify]: Simplify (/ 1 1) into 1 3.112 * [backup-simplify]: Simplify (* 1 1) into 1 3.113 * [backup-simplify]: Simplify (+ 0 1) into 1 3.113 * [backup-simplify]: Simplify (sqrt 1) into 1 3.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.114 * [backup-simplify]: Simplify (+ 0 0) into 0 3.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.115 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.115 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.115 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.115 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.115 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.115 * [taylor]: Taking taylor expansion of re in re 3.115 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify 1 into 1 3.115 * [backup-simplify]: Simplify (/ 1 1) into 1 3.115 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.115 * [taylor]: Taking taylor expansion of re in re 3.115 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify 1 into 1 3.116 * [backup-simplify]: Simplify (/ 1 1) into 1 3.116 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.116 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.116 * [taylor]: Taking taylor expansion of im in re 3.116 * [backup-simplify]: Simplify im into im 3.116 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.116 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.116 * [taylor]: Taking taylor expansion of im in re 3.116 * [backup-simplify]: Simplify im into im 3.116 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.116 * [backup-simplify]: Simplify (* 1 1) into 1 3.116 * [backup-simplify]: Simplify (+ 1 0) into 1 3.117 * [backup-simplify]: Simplify (sqrt 1) into 1 3.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.118 * [backup-simplify]: Simplify (+ 0 0) into 0 3.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.119 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.119 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.119 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.119 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.119 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.119 * [taylor]: Taking taylor expansion of re in re 3.119 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify 1 into 1 3.119 * [backup-simplify]: Simplify (/ 1 1) into 1 3.119 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.119 * [taylor]: Taking taylor expansion of re in re 3.119 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify 1 into 1 3.119 * [backup-simplify]: Simplify (/ 1 1) into 1 3.119 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.119 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.119 * [taylor]: Taking taylor expansion of im in re 3.119 * [backup-simplify]: Simplify im into im 3.119 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.119 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.119 * [taylor]: Taking taylor expansion of im in re 3.119 * [backup-simplify]: Simplify im into im 3.120 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.120 * [backup-simplify]: Simplify (* 1 1) into 1 3.120 * [backup-simplify]: Simplify (+ 1 0) into 1 3.120 * [backup-simplify]: Simplify (sqrt 1) into 1 3.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.122 * [backup-simplify]: Simplify (+ 0 0) into 0 3.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.122 * [taylor]: Taking taylor expansion of 1 in im 3.122 * [backup-simplify]: Simplify 1 into 1 3.122 * [taylor]: Taking taylor expansion of 0 in im 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 1 into 1 3.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.124 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 3.124 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.125 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.125 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.125 * [taylor]: Taking taylor expansion of 1/2 in im 3.125 * [backup-simplify]: Simplify 1/2 into 1/2 3.125 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.125 * [taylor]: Taking taylor expansion of im in im 3.125 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify 1 into 1 3.126 * [backup-simplify]: Simplify (* 1 1) into 1 3.126 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 3.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 3.129 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 3.129 * [backup-simplify]: Simplify (+ 0 0) into 0 3.129 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.129 * [taylor]: Taking taylor expansion of 0 in im 3.129 * [backup-simplify]: Simplify 0 into 0 3.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.131 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.131 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 3.131 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 3.131 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 3.131 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.131 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 3.131 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 3.131 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.131 * [taylor]: Taking taylor expansion of -1 in im 3.131 * [backup-simplify]: Simplify -1 into -1 3.131 * [taylor]: Taking taylor expansion of re in im 3.131 * [backup-simplify]: Simplify re into re 3.131 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 3.131 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.131 * [taylor]: Taking taylor expansion of -1 in im 3.131 * [backup-simplify]: Simplify -1 into -1 3.131 * [taylor]: Taking taylor expansion of re in im 3.131 * [backup-simplify]: Simplify re into re 3.131 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 3.131 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 3.131 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.131 * [taylor]: Taking taylor expansion of -1 in im 3.131 * [backup-simplify]: Simplify -1 into -1 3.131 * [taylor]: Taking taylor expansion of im in im 3.131 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify 1 into 1 3.132 * [backup-simplify]: Simplify (/ -1 1) into -1 3.132 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.132 * [taylor]: Taking taylor expansion of -1 in im 3.132 * [backup-simplify]: Simplify -1 into -1 3.132 * [taylor]: Taking taylor expansion of im in im 3.132 * [backup-simplify]: Simplify 0 into 0 3.132 * [backup-simplify]: Simplify 1 into 1 3.132 * [backup-simplify]: Simplify (/ -1 1) into -1 3.132 * [backup-simplify]: Simplify (* -1 -1) into 1 3.133 * [backup-simplify]: Simplify (+ 0 1) into 1 3.133 * [backup-simplify]: Simplify (sqrt 1) into 1 3.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.134 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.135 * [backup-simplify]: Simplify (+ 0 0) into 0 3.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.135 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.135 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.135 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.135 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.135 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.135 * [taylor]: Taking taylor expansion of -1 in re 3.135 * [backup-simplify]: Simplify -1 into -1 3.135 * [taylor]: Taking taylor expansion of re in re 3.135 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify 1 into 1 3.136 * [backup-simplify]: Simplify (/ -1 1) into -1 3.136 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.136 * [taylor]: Taking taylor expansion of -1 in re 3.136 * [backup-simplify]: Simplify -1 into -1 3.136 * [taylor]: Taking taylor expansion of re in re 3.136 * [backup-simplify]: Simplify 0 into 0 3.136 * [backup-simplify]: Simplify 1 into 1 3.136 * [backup-simplify]: Simplify (/ -1 1) into -1 3.136 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.136 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.136 * [taylor]: Taking taylor expansion of -1 in re 3.136 * [backup-simplify]: Simplify -1 into -1 3.136 * [taylor]: Taking taylor expansion of im in re 3.136 * [backup-simplify]: Simplify im into im 3.136 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.136 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.136 * [taylor]: Taking taylor expansion of -1 in re 3.136 * [backup-simplify]: Simplify -1 into -1 3.136 * [taylor]: Taking taylor expansion of im in re 3.136 * [backup-simplify]: Simplify im into im 3.136 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.137 * [backup-simplify]: Simplify (* -1 -1) into 1 3.137 * [backup-simplify]: Simplify (+ 1 0) into 1 3.137 * [backup-simplify]: Simplify (sqrt 1) into 1 3.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.138 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.139 * [backup-simplify]: Simplify (+ 0 0) into 0 3.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.139 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.139 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.139 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.139 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.139 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.139 * [taylor]: Taking taylor expansion of -1 in re 3.139 * [backup-simplify]: Simplify -1 into -1 3.139 * [taylor]: Taking taylor expansion of re in re 3.139 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify 1 into 1 3.140 * [backup-simplify]: Simplify (/ -1 1) into -1 3.140 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.140 * [taylor]: Taking taylor expansion of -1 in re 3.140 * [backup-simplify]: Simplify -1 into -1 3.140 * [taylor]: Taking taylor expansion of re in re 3.140 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify 1 into 1 3.140 * [backup-simplify]: Simplify (/ -1 1) into -1 3.140 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.140 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.140 * [taylor]: Taking taylor expansion of -1 in re 3.140 * [backup-simplify]: Simplify -1 into -1 3.140 * [taylor]: Taking taylor expansion of im in re 3.140 * [backup-simplify]: Simplify im into im 3.140 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.140 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.140 * [taylor]: Taking taylor expansion of -1 in re 3.140 * [backup-simplify]: Simplify -1 into -1 3.140 * [taylor]: Taking taylor expansion of im in re 3.140 * [backup-simplify]: Simplify im into im 3.140 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.141 * [backup-simplify]: Simplify (* -1 -1) into 1 3.141 * [backup-simplify]: Simplify (+ 1 0) into 1 3.141 * [backup-simplify]: Simplify (sqrt 1) into 1 3.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.143 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.143 * [backup-simplify]: Simplify (+ 0 0) into 0 3.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.143 * [taylor]: Taking taylor expansion of 1 in im 3.144 * [backup-simplify]: Simplify 1 into 1 3.144 * [taylor]: Taking taylor expansion of 0 in im 3.144 * [backup-simplify]: Simplify 0 into 0 3.144 * [backup-simplify]: Simplify 1 into 1 3.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.145 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.145 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 3.146 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.146 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.146 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.146 * [taylor]: Taking taylor expansion of 1/2 in im 3.146 * [backup-simplify]: Simplify 1/2 into 1/2 3.147 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.147 * [taylor]: Taking taylor expansion of im in im 3.147 * [backup-simplify]: Simplify 0 into 0 3.147 * [backup-simplify]: Simplify 1 into 1 3.147 * [backup-simplify]: Simplify (* 1 1) into 1 3.147 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify 0 into 0 3.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.150 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.150 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 3.150 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 3.150 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 3.150 * [backup-simplify]: Simplify (+ 0 0) into 0 3.151 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.151 * [taylor]: Taking taylor expansion of 0 in im 3.151 * [backup-simplify]: Simplify 0 into 0 3.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.152 * [backup-simplify]: Simplify 0 into 0 3.152 * [backup-simplify]: Simplify 0 into 0 3.152 * [backup-simplify]: Simplify 0 into 0 3.152 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.152 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 3.152 * [backup-simplify]: Simplify (sqrt (+ re (hypot re im))) into (sqrt (+ (hypot re im) re)) 3.152 * [approximate]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in (re im) around 0 3.152 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im 3.152 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 3.152 * [taylor]: Taking taylor expansion of (hypot re im) in im 3.153 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.153 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 3.153 * [taylor]: Taking taylor expansion of (* re re) in im 3.153 * [taylor]: Taking taylor expansion of re in im 3.153 * [backup-simplify]: Simplify re into re 3.153 * [taylor]: Taking taylor expansion of re in im 3.153 * [backup-simplify]: Simplify re into re 3.153 * [taylor]: Taking taylor expansion of (* im im) in im 3.153 * [taylor]: Taking taylor expansion of im in im 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 1 into 1 3.153 * [taylor]: Taking taylor expansion of im in im 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 1 into 1 3.153 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.153 * [backup-simplify]: Simplify (* 0 0) into 0 3.153 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.153 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.153 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.154 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.154 * [backup-simplify]: Simplify (+ 0 0) into 0 3.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.154 * [taylor]: Taking taylor expansion of re in im 3.154 * [backup-simplify]: Simplify re into re 3.154 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 3.154 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 3.154 * [backup-simplify]: Simplify (+ 0 0) into 0 3.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 3.155 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 3.155 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 3.155 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.155 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.155 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.155 * [taylor]: Taking taylor expansion of (* re re) in re 3.155 * [taylor]: Taking taylor expansion of re in re 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify 1 into 1 3.155 * [taylor]: Taking taylor expansion of re in re 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify 1 into 1 3.155 * [taylor]: Taking taylor expansion of (* im im) in re 3.155 * [taylor]: Taking taylor expansion of im in re 3.155 * [backup-simplify]: Simplify im into im 3.155 * [taylor]: Taking taylor expansion of im in re 3.155 * [backup-simplify]: Simplify im into im 3.155 * [backup-simplify]: Simplify (* 0 0) into 0 3.155 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.155 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.155 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.156 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.156 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.156 * [backup-simplify]: Simplify (+ 0 0) into 0 3.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.156 * [taylor]: Taking taylor expansion of re in re 3.156 * [backup-simplify]: Simplify 0 into 0 3.156 * [backup-simplify]: Simplify 1 into 1 3.156 * [backup-simplify]: Simplify (+ im 0) into im 3.156 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 3.157 * [backup-simplify]: Simplify (+ 0 1) into 1 3.157 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 3.157 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 3.157 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 3.157 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.157 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.157 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.157 * [taylor]: Taking taylor expansion of (* re re) in re 3.157 * [taylor]: Taking taylor expansion of re in re 3.157 * [backup-simplify]: Simplify 0 into 0 3.157 * [backup-simplify]: Simplify 1 into 1 3.157 * [taylor]: Taking taylor expansion of re in re 3.157 * [backup-simplify]: Simplify 0 into 0 3.157 * [backup-simplify]: Simplify 1 into 1 3.157 * [taylor]: Taking taylor expansion of (* im im) in re 3.157 * [taylor]: Taking taylor expansion of im in re 3.157 * [backup-simplify]: Simplify im into im 3.157 * [taylor]: Taking taylor expansion of im in re 3.157 * [backup-simplify]: Simplify im into im 3.157 * [backup-simplify]: Simplify (* 0 0) into 0 3.157 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.157 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.157 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.158 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.158 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.158 * [backup-simplify]: Simplify (+ 0 0) into 0 3.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.158 * [taylor]: Taking taylor expansion of re in re 3.158 * [backup-simplify]: Simplify 0 into 0 3.158 * [backup-simplify]: Simplify 1 into 1 3.158 * [backup-simplify]: Simplify (+ im 0) into im 3.158 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 3.159 * [backup-simplify]: Simplify (+ 0 1) into 1 3.159 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 3.159 * [taylor]: Taking taylor expansion of (sqrt im) in im 3.159 * [taylor]: Taking taylor expansion of im in im 3.159 * [backup-simplify]: Simplify 0 into 0 3.159 * [backup-simplify]: Simplify 1 into 1 3.159 * [backup-simplify]: Simplify (sqrt 0) into 0 3.160 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.160 * [backup-simplify]: Simplify 0 into 0 3.160 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im 3.160 * [taylor]: Taking taylor expansion of 1/2 in im 3.160 * [backup-simplify]: Simplify 1/2 into 1/2 3.160 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 3.160 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.160 * [taylor]: Taking taylor expansion of im in im 3.160 * [backup-simplify]: Simplify 0 into 0 3.160 * [backup-simplify]: Simplify 1 into 1 3.161 * [backup-simplify]: Simplify (/ 1 1) into 1 3.161 * [backup-simplify]: Simplify (sqrt 0) into 0 3.162 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.162 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 3.163 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.163 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.163 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.164 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.164 * [backup-simplify]: Simplify (+ 1 0) into 1 3.164 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.164 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 3.165 * [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)))) 3.165 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im 3.165 * [taylor]: Taking taylor expansion of 1/8 in im 3.165 * [backup-simplify]: Simplify 1/8 into 1/8 3.165 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 3.165 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 3.165 * [taylor]: Taking taylor expansion of (pow im 3) in im 3.165 * [taylor]: Taking taylor expansion of im in im 3.165 * [backup-simplify]: Simplify 0 into 0 3.165 * [backup-simplify]: Simplify 1 into 1 3.165 * [backup-simplify]: Simplify (* 1 1) into 1 3.166 * [backup-simplify]: Simplify (* 1 1) into 1 3.166 * [backup-simplify]: Simplify (/ 1 1) into 1 3.166 * [backup-simplify]: Simplify (sqrt 0) into 0 3.167 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.170 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.171 * [backup-simplify]: Simplify (+ (* 1/8 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 3.172 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.172 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 re) 2)) (+ (* +nan.0 (* im 1)) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 re) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im)))))) 3.172 * [backup-simplify]: Simplify (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) into (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) 3.172 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in (re im) around 0 3.172 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 3.172 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 3.172 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.172 * [taylor]: Taking taylor expansion of re in im 3.172 * [backup-simplify]: Simplify re into re 3.173 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.173 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 3.173 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.173 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 3.173 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 3.173 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.173 * [taylor]: Taking taylor expansion of re in im 3.173 * [backup-simplify]: Simplify re into re 3.173 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.173 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.173 * [taylor]: Taking taylor expansion of re in im 3.173 * [backup-simplify]: Simplify re into re 3.173 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.173 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 3.173 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.173 * [taylor]: Taking taylor expansion of im in im 3.173 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify 1 into 1 3.173 * [backup-simplify]: Simplify (/ 1 1) into 1 3.173 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.173 * [taylor]: Taking taylor expansion of im in im 3.173 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify 1 into 1 3.174 * [backup-simplify]: Simplify (/ 1 1) into 1 3.174 * [backup-simplify]: Simplify (* 1 1) into 1 3.174 * [backup-simplify]: Simplify (+ 0 1) into 1 3.174 * [backup-simplify]: Simplify (sqrt 1) into 1 3.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.176 * [backup-simplify]: Simplify (+ 0 0) into 0 3.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.177 * [backup-simplify]: Simplify (+ 0 1) into 1 3.177 * [backup-simplify]: Simplify (sqrt 0) into 0 3.178 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.178 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 3.178 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 3.178 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.178 * [taylor]: Taking taylor expansion of re in re 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify 1 into 1 3.178 * [backup-simplify]: Simplify (/ 1 1) into 1 3.178 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.178 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.178 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.178 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.178 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.178 * [taylor]: Taking taylor expansion of re in re 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify 1 into 1 3.178 * [backup-simplify]: Simplify (/ 1 1) into 1 3.179 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.179 * [taylor]: Taking taylor expansion of re in re 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify 1 into 1 3.179 * [backup-simplify]: Simplify (/ 1 1) into 1 3.179 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.179 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.179 * [taylor]: Taking taylor expansion of im in re 3.179 * [backup-simplify]: Simplify im into im 3.179 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.179 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.179 * [taylor]: Taking taylor expansion of im in re 3.179 * [backup-simplify]: Simplify im into im 3.179 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.179 * [backup-simplify]: Simplify (* 1 1) into 1 3.180 * [backup-simplify]: Simplify (+ 1 0) into 1 3.180 * [backup-simplify]: Simplify (sqrt 1) into 1 3.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.181 * [backup-simplify]: Simplify (+ 0 0) into 0 3.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.182 * [backup-simplify]: Simplify (+ 1 1) into 2 3.182 * [backup-simplify]: Simplify (sqrt 0) into 0 3.183 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 3.183 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 3.183 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 3.183 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.183 * [taylor]: Taking taylor expansion of re in re 3.183 * [backup-simplify]: Simplify 0 into 0 3.183 * [backup-simplify]: Simplify 1 into 1 3.183 * [backup-simplify]: Simplify (/ 1 1) into 1 3.183 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.184 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.184 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.184 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.184 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.184 * [taylor]: Taking taylor expansion of re in re 3.184 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify 1 into 1 3.184 * [backup-simplify]: Simplify (/ 1 1) into 1 3.184 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.184 * [taylor]: Taking taylor expansion of re in re 3.184 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify 1 into 1 3.184 * [backup-simplify]: Simplify (/ 1 1) into 1 3.184 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.184 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.184 * [taylor]: Taking taylor expansion of im in re 3.184 * [backup-simplify]: Simplify im into im 3.184 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.184 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.184 * [taylor]: Taking taylor expansion of im in re 3.184 * [backup-simplify]: Simplify im into im 3.184 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.185 * [backup-simplify]: Simplify (* 1 1) into 1 3.185 * [backup-simplify]: Simplify (+ 1 0) into 1 3.185 * [backup-simplify]: Simplify (sqrt 1) into 1 3.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.187 * [backup-simplify]: Simplify (+ 0 0) into 0 3.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.188 * [backup-simplify]: Simplify (+ 1 1) into 2 3.188 * [backup-simplify]: Simplify (sqrt 0) into 0 3.190 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 3.190 * [taylor]: Taking taylor expansion of 0 in im 3.190 * [backup-simplify]: Simplify 0 into 0 3.190 * [taylor]: Taking taylor expansion of +nan.0 in im 3.190 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.190 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.191 * [backup-simplify]: Simplify (+ 0 0) into 0 3.194 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.194 * [taylor]: Taking taylor expansion of +nan.0 in im 3.195 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.195 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.195 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.199 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 3.199 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.200 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.200 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.202 * [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)) 3.203 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 3.203 * [taylor]: Taking taylor expansion of +nan.0 in im 3.203 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.203 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 3.203 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.203 * [taylor]: Taking taylor expansion of 1/2 in im 3.203 * [backup-simplify]: Simplify 1/2 into 1/2 3.203 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.203 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.203 * [taylor]: Taking taylor expansion of im in im 3.203 * [backup-simplify]: Simplify 0 into 0 3.203 * [backup-simplify]: Simplify 1 into 1 3.203 * [backup-simplify]: Simplify (* 1 1) into 1 3.204 * [backup-simplify]: Simplify (/ 1 1) into 1 3.204 * [taylor]: Taking taylor expansion of +nan.0 in im 3.204 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.208 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.208 * [backup-simplify]: Simplify (+ 0 0) into 0 3.209 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.209 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.209 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 3.209 * [backup-simplify]: Simplify 0 into 0 3.209 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.209 * [backup-simplify]: Simplify 0 into 0 3.209 * [backup-simplify]: Simplify 0 into 0 3.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 3.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 3.212 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 3.213 * [backup-simplify]: Simplify (+ 0 0) into 0 3.213 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.213 * [backup-simplify]: Simplify (+ 0 0) into 0 3.214 * [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))) 3.214 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 3.214 * [taylor]: Taking taylor expansion of +nan.0 in im 3.214 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.214 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 3.214 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 3.214 * [taylor]: Taking taylor expansion of +nan.0 in im 3.214 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.214 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.214 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.214 * [taylor]: Taking taylor expansion of im in im 3.214 * [backup-simplify]: Simplify 0 into 0 3.214 * [backup-simplify]: Simplify 1 into 1 3.215 * [backup-simplify]: Simplify (* 1 1) into 1 3.215 * [backup-simplify]: Simplify (/ 1 1) into 1 3.215 * [taylor]: Taking taylor expansion of (- +nan.0) in im 3.215 * [taylor]: Taking taylor expansion of +nan.0 in im 3.215 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.216 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 3.217 * [backup-simplify]: Simplify (+ 0 0) into 0 3.217 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 3.217 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.218 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 3.218 * [backup-simplify]: Simplify 0 into 0 3.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.220 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.220 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 3.222 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 3.222 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.222 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) 3.223 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im))))) into (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) 3.223 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0 3.223 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 3.223 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 3.223 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 3.223 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.223 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 3.223 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 3.223 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.223 * [taylor]: Taking taylor expansion of -1 in im 3.223 * [backup-simplify]: Simplify -1 into -1 3.223 * [taylor]: Taking taylor expansion of re in im 3.223 * [backup-simplify]: Simplify re into re 3.223 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 3.223 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.223 * [taylor]: Taking taylor expansion of -1 in im 3.223 * [backup-simplify]: Simplify -1 into -1 3.223 * [taylor]: Taking taylor expansion of re in im 3.223 * [backup-simplify]: Simplify re into re 3.223 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 3.223 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 3.223 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.223 * [taylor]: Taking taylor expansion of -1 in im 3.223 * [backup-simplify]: Simplify -1 into -1 3.223 * [taylor]: Taking taylor expansion of im in im 3.223 * [backup-simplify]: Simplify 0 into 0 3.223 * [backup-simplify]: Simplify 1 into 1 3.223 * [backup-simplify]: Simplify (/ -1 1) into -1 3.223 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.223 * [taylor]: Taking taylor expansion of -1 in im 3.223 * [backup-simplify]: Simplify -1 into -1 3.223 * [taylor]: Taking taylor expansion of im in im 3.223 * [backup-simplify]: Simplify 0 into 0 3.224 * [backup-simplify]: Simplify 1 into 1 3.224 * [backup-simplify]: Simplify (/ -1 1) into -1 3.224 * [backup-simplify]: Simplify (* -1 -1) into 1 3.224 * [backup-simplify]: Simplify (+ 0 1) into 1 3.225 * [backup-simplify]: Simplify (sqrt 1) into 1 3.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.226 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.226 * [backup-simplify]: Simplify (+ 0 0) into 0 3.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.227 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.227 * [taylor]: Taking taylor expansion of re in im 3.227 * [backup-simplify]: Simplify re into re 3.227 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.227 * [backup-simplify]: Simplify (+ 1 0) into 1 3.227 * [backup-simplify]: Simplify (sqrt 0) into 0 3.228 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.228 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 3.228 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 3.228 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.228 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.228 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.228 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.228 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.228 * [taylor]: Taking taylor expansion of -1 in re 3.228 * [backup-simplify]: Simplify -1 into -1 3.228 * [taylor]: Taking taylor expansion of re in re 3.228 * [backup-simplify]: Simplify 0 into 0 3.228 * [backup-simplify]: Simplify 1 into 1 3.229 * [backup-simplify]: Simplify (/ -1 1) into -1 3.229 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.229 * [taylor]: Taking taylor expansion of -1 in re 3.229 * [backup-simplify]: Simplify -1 into -1 3.229 * [taylor]: Taking taylor expansion of re in re 3.229 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify 1 into 1 3.229 * [backup-simplify]: Simplify (/ -1 1) into -1 3.229 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.229 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.229 * [taylor]: Taking taylor expansion of -1 in re 3.229 * [backup-simplify]: Simplify -1 into -1 3.229 * [taylor]: Taking taylor expansion of im in re 3.229 * [backup-simplify]: Simplify im into im 3.229 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.229 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.229 * [taylor]: Taking taylor expansion of -1 in re 3.229 * [backup-simplify]: Simplify -1 into -1 3.229 * [taylor]: Taking taylor expansion of im in re 3.229 * [backup-simplify]: Simplify im into im 3.229 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.230 * [backup-simplify]: Simplify (* -1 -1) into 1 3.230 * [backup-simplify]: Simplify (+ 1 0) into 1 3.230 * [backup-simplify]: Simplify (sqrt 1) into 1 3.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.232 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.232 * [backup-simplify]: Simplify (+ 0 0) into 0 3.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.232 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.232 * [taylor]: Taking taylor expansion of re in re 3.232 * [backup-simplify]: Simplify 0 into 0 3.232 * [backup-simplify]: Simplify 1 into 1 3.233 * [backup-simplify]: Simplify (/ 1 1) into 1 3.233 * [backup-simplify]: Simplify (- 1) into -1 3.233 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.234 * [backup-simplify]: Simplify (- 0) into 0 3.234 * [backup-simplify]: Simplify (+ 0 0) into 0 3.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.236 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.236 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 3.236 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.237 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.238 * [backup-simplify]: Simplify (- 0) into 0 3.238 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.238 * [backup-simplify]: Simplify (sqrt 0) into 0 3.238 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 3.239 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 3.239 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 3.239 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.239 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.239 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.239 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.239 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.239 * [taylor]: Taking taylor expansion of -1 in re 3.239 * [backup-simplify]: Simplify -1 into -1 3.239 * [taylor]: Taking taylor expansion of re in re 3.239 * [backup-simplify]: Simplify 0 into 0 3.239 * [backup-simplify]: Simplify 1 into 1 3.239 * [backup-simplify]: Simplify (/ -1 1) into -1 3.239 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.239 * [taylor]: Taking taylor expansion of -1 in re 3.239 * [backup-simplify]: Simplify -1 into -1 3.239 * [taylor]: Taking taylor expansion of re in re 3.239 * [backup-simplify]: Simplify 0 into 0 3.239 * [backup-simplify]: Simplify 1 into 1 3.239 * [backup-simplify]: Simplify (/ -1 1) into -1 3.239 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.239 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.239 * [taylor]: Taking taylor expansion of -1 in re 3.240 * [backup-simplify]: Simplify -1 into -1 3.240 * [taylor]: Taking taylor expansion of im in re 3.240 * [backup-simplify]: Simplify im into im 3.240 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.240 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.240 * [taylor]: Taking taylor expansion of -1 in re 3.240 * [backup-simplify]: Simplify -1 into -1 3.240 * [taylor]: Taking taylor expansion of im in re 3.240 * [backup-simplify]: Simplify im into im 3.240 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.240 * [backup-simplify]: Simplify (* -1 -1) into 1 3.240 * [backup-simplify]: Simplify (+ 1 0) into 1 3.240 * [backup-simplify]: Simplify (sqrt 1) into 1 3.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.242 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.242 * [backup-simplify]: Simplify (+ 0 0) into 0 3.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.243 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.243 * [taylor]: Taking taylor expansion of re in re 3.243 * [backup-simplify]: Simplify 0 into 0 3.243 * [backup-simplify]: Simplify 1 into 1 3.243 * [backup-simplify]: Simplify (/ 1 1) into 1 3.244 * [backup-simplify]: Simplify (- 1) into -1 3.244 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.245 * [backup-simplify]: Simplify (- 0) into 0 3.246 * [backup-simplify]: Simplify (+ 0 0) into 0 3.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.249 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.249 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 3.249 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.251 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.252 * [backup-simplify]: Simplify (- 0) into 0 3.252 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.253 * [backup-simplify]: Simplify (sqrt 0) into 0 3.253 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 3.254 * [taylor]: Taking taylor expansion of 0 in im 3.254 * [backup-simplify]: Simplify 0 into 0 3.254 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 3.254 * [taylor]: Taking taylor expansion of +nan.0 in im 3.254 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.254 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.254 * [taylor]: Taking taylor expansion of im in im 3.254 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify 1 into 1 3.254 * [backup-simplify]: Simplify (* 1 1) into 1 3.255 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 3.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 3.256 * [backup-simplify]: Simplify 0 into 0 3.256 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.259 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.260 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 3.260 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 3.260 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 3.260 * [backup-simplify]: Simplify (+ 0 0) into 0 3.261 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.262 * [backup-simplify]: Simplify (- 0) into 0 3.263 * [backup-simplify]: Simplify (+ 0 0) into 0 3.264 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 3.264 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 3.264 * [taylor]: Taking taylor expansion of +nan.0 in im 3.264 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.264 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.264 * [taylor]: Taking taylor expansion of im in im 3.264 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify 1 into 1 3.264 * [backup-simplify]: Simplify (* 1 1) into 1 3.265 * [backup-simplify]: Simplify (* 1 1) into 1 3.265 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 3.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 3.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.272 * [backup-simplify]: Simplify 0 into 0 3.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.274 * [backup-simplify]: Simplify 0 into 0 3.274 * [backup-simplify]: Simplify 0 into 0 3.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.276 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 3.276 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 3.276 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 3.276 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 3.276 * [backup-simplify]: Simplify (+ 0 0) into 0 3.277 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 3.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.278 * [backup-simplify]: Simplify (- 0) into 0 3.278 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 3.279 * [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 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) 3.279 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) in im 3.279 * [taylor]: Taking taylor expansion of +nan.0 in im 3.279 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.279 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))) in im 3.279 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 3.279 * [taylor]: Taking taylor expansion of +nan.0 in im 3.279 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.279 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 3.279 * [taylor]: Taking taylor expansion of (pow im 6) in im 3.279 * [taylor]: Taking taylor expansion of im in im 3.279 * [backup-simplify]: Simplify 0 into 0 3.279 * [backup-simplify]: Simplify 1 into 1 3.279 * [backup-simplify]: Simplify (* 1 1) into 1 3.280 * [backup-simplify]: Simplify (* 1 1) into 1 3.280 * [backup-simplify]: Simplify (* 1 1) into 1 3.280 * [backup-simplify]: Simplify (/ 1 1) into 1 3.280 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 3.280 * [taylor]: Taking taylor expansion of 1/8 in im 3.280 * [backup-simplify]: Simplify 1/8 into 1/8 3.280 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 3.280 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.280 * [taylor]: Taking taylor expansion of im in im 3.280 * [backup-simplify]: Simplify 0 into 0 3.280 * [backup-simplify]: Simplify 1 into 1 3.280 * [backup-simplify]: Simplify (* 1 1) into 1 3.281 * [backup-simplify]: Simplify (* 1 1) into 1 3.281 * [backup-simplify]: Simplify (/ 1 1) into 1 3.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.294 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.299 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.300 * [backup-simplify]: Simplify (+ 0 0) into 0 3.300 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.301 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 3.301 * [backup-simplify]: Simplify (+ 0 0) into 0 3.302 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.302 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 3.303 * [backup-simplify]: Simplify (+ 0 0) into 0 3.303 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 3.303 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 3.304 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 3.304 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 3.304 * [backup-simplify]: Simplify (+ 0 0) into 0 3.305 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 3.305 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.308 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/8) (+ (* 0 0) (* 0 (- +nan.0))))))) into 0 3.308 * [backup-simplify]: Simplify 0 into 0 3.308 * [backup-simplify]: Simplify 0 into 0 3.308 * * * [progress]: simplifying candidates 3.309 * [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) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 0 im re (* -1 re) (- (+ (* +nan.0 re) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im)))))) (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) 0 3.310 * * [simplify]: iteration 0: 135 enodes 3.332 * * [simplify]: iteration 1: 307 enodes 3.492 * * [simplify]: iteration 2: 1278 enodes 3.956 * * [simplify]: iteration complete: 5001 enodes 3.956 * * [simplify]: Extracting #0: cost 68 inf + 0 3.957 * * [simplify]: Extracting #1: cost 587 inf + 5 3.962 * * [simplify]: Extracting #2: cost 1650 inf + 595 3.975 * * [simplify]: Extracting #3: cost 986 inf + 7488 3.985 * * [simplify]: Extracting #4: cost 86 inf + 15245 3.997 * * [simplify]: Extracting #5: cost 5 inf + 16137 4.008 * * [simplify]: Extracting #6: cost 0 inf + 16169 4.015 * [simplify]: Simplified to: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ (hypot re im) re)) (log (+ re (hypot re im))) (exp (+ (hypot re im) re)) (* (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 (hypot re im)) (- re (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))) (* 2.0 (* (sqrt 2.0) (pow (sqrt (+ re (hypot re im))) 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 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 (+ re (hypot re im))) (cbrt (sqrt 2.0))) (cbrt (sqrt 2.0))) (* (fabs (cbrt 2.0)) (sqrt (+ re (hypot re im)))) (* (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 2.0) (sqrt (cbrt (+ re (hypot re im))))) (* (sqrt 2.0) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (sqrt 2.0) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (hypot (pow re 3/2) (pow (hypot re im) 3/2)) (sqrt 2.0)) (* (sqrt (* (+ re (hypot re im)) (- re (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 (hypot re im)) (- re (hypot re im)))) (sqrt (- re (hypot re im))) 1/2 (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))) (+ im re) (* 2 re) 0 (* (* (sqrt 2.0) +nan.0) (+ (- (pow re 2)) (- im re))) (fma (- (sqrt 2.0)) +nan.0 (* (/ (sqrt 2.0) re) (- +nan.0 (/ +nan.0 re)))) 0 im re (- re) (* +nan.0 (+ (fma re re (- im)) (- re))) (+ (/ (- +nan.0) re) (- (/ (/ +nan.0 re) re) +nan.0)) 0 4.015 * * * [progress]: adding candidates to table 4.487 * * [progress]: iteration 3 / 4 4.487 * * * [progress]: picking best candidate 4.541 * * * * [pick]: Picked # 4.541 * * * [progress]: localizing error 4.570 * * * [progress]: generating rewritten candidates 4.570 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 4.571 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 4.578 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 1) 4.578 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1) 4.580 * * * [progress]: generating series expansions 4.580 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 4.580 * [backup-simplify]: Simplify (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) into (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 4.580 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in (re im) around 0 4.580 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in im 4.581 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 4.581 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 4.581 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 4.581 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.581 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.581 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.581 * [taylor]: Taking taylor expansion of (* re re) in im 4.581 * [taylor]: Taking taylor expansion of re in im 4.581 * [backup-simplify]: Simplify re into re 4.581 * [taylor]: Taking taylor expansion of re in im 4.581 * [backup-simplify]: Simplify re into re 4.581 * [taylor]: Taking taylor expansion of (* im im) in im 4.581 * [taylor]: Taking taylor expansion of im in im 4.581 * [backup-simplify]: Simplify 0 into 0 4.581 * [backup-simplify]: Simplify 1 into 1 4.581 * [taylor]: Taking taylor expansion of im in im 4.581 * [backup-simplify]: Simplify 0 into 0 4.581 * [backup-simplify]: Simplify 1 into 1 4.581 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.582 * [backup-simplify]: Simplify (* 0 0) into 0 4.582 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.582 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.582 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.583 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.583 * [backup-simplify]: Simplify (+ 0 0) into 0 4.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.584 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 4.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 4.584 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 4.584 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.584 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.584 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.584 * [taylor]: Taking taylor expansion of (* re re) in im 4.584 * [taylor]: Taking taylor expansion of re in im 4.584 * [backup-simplify]: Simplify re into re 4.584 * [taylor]: Taking taylor expansion of re in im 4.584 * [backup-simplify]: Simplify re into re 4.584 * [taylor]: Taking taylor expansion of (* im im) in im 4.584 * [taylor]: Taking taylor expansion of im in im 4.584 * [backup-simplify]: Simplify 0 into 0 4.584 * [backup-simplify]: Simplify 1 into 1 4.584 * [taylor]: Taking taylor expansion of im in im 4.584 * [backup-simplify]: Simplify 0 into 0 4.584 * [backup-simplify]: Simplify 1 into 1 4.584 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.585 * [backup-simplify]: Simplify (* 0 0) into 0 4.585 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.585 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.585 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.586 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.586 * [backup-simplify]: Simplify (+ 0 0) into 0 4.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.586 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 4.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 4.587 * [taylor]: Taking taylor expansion of re in im 4.587 * [backup-simplify]: Simplify re into re 4.587 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 4.587 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 4.587 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 4.587 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 4.587 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.587 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.587 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.587 * [taylor]: Taking taylor expansion of (* re re) in re 4.587 * [taylor]: Taking taylor expansion of re in re 4.587 * [backup-simplify]: Simplify 0 into 0 4.587 * [backup-simplify]: Simplify 1 into 1 4.587 * [taylor]: Taking taylor expansion of re in re 4.587 * [backup-simplify]: Simplify 0 into 0 4.587 * [backup-simplify]: Simplify 1 into 1 4.587 * [taylor]: Taking taylor expansion of (* im im) in re 4.587 * [taylor]: Taking taylor expansion of im in re 4.587 * [backup-simplify]: Simplify im into im 4.587 * [taylor]: Taking taylor expansion of im in re 4.587 * [backup-simplify]: Simplify im into im 4.588 * [backup-simplify]: Simplify (* 0 0) into 0 4.588 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.588 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.588 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.589 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.589 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.589 * [backup-simplify]: Simplify (+ 0 0) into 0 4.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.589 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 4.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 4.590 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 4.590 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.590 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.590 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.590 * [taylor]: Taking taylor expansion of (* re re) in re 4.590 * [taylor]: Taking taylor expansion of re in re 4.590 * [backup-simplify]: Simplify 0 into 0 4.590 * [backup-simplify]: Simplify 1 into 1 4.590 * [taylor]: Taking taylor expansion of re in re 4.590 * [backup-simplify]: Simplify 0 into 0 4.590 * [backup-simplify]: Simplify 1 into 1 4.590 * [taylor]: Taking taylor expansion of (* im im) in re 4.590 * [taylor]: Taking taylor expansion of im in re 4.590 * [backup-simplify]: Simplify im into im 4.590 * [taylor]: Taking taylor expansion of im in re 4.590 * [backup-simplify]: Simplify im into im 4.591 * [backup-simplify]: Simplify (* 0 0) into 0 4.591 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.591 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.591 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.592 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.592 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.592 * [backup-simplify]: Simplify (+ 0 0) into 0 4.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.592 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 4.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 4.592 * [taylor]: Taking taylor expansion of re in re 4.592 * [backup-simplify]: Simplify 0 into 0 4.592 * [backup-simplify]: Simplify 1 into 1 4.593 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 4.593 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 4.593 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 4.593 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 4.593 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.593 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.593 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.593 * [taylor]: Taking taylor expansion of (* re re) in re 4.593 * [taylor]: Taking taylor expansion of re in re 4.593 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify 1 into 1 4.593 * [taylor]: Taking taylor expansion of re in re 4.593 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify 1 into 1 4.593 * [taylor]: Taking taylor expansion of (* im im) in re 4.593 * [taylor]: Taking taylor expansion of im in re 4.593 * [backup-simplify]: Simplify im into im 4.593 * [taylor]: Taking taylor expansion of im in re 4.593 * [backup-simplify]: Simplify im into im 4.594 * [backup-simplify]: Simplify (* 0 0) into 0 4.594 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.594 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.594 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.595 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.595 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.595 * [backup-simplify]: Simplify (+ 0 0) into 0 4.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.595 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 4.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 4.596 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 4.596 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.596 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.596 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.596 * [taylor]: Taking taylor expansion of (* re re) in re 4.596 * [taylor]: Taking taylor expansion of re in re 4.596 * [backup-simplify]: Simplify 0 into 0 4.596 * [backup-simplify]: Simplify 1 into 1 4.596 * [taylor]: Taking taylor expansion of re in re 4.596 * [backup-simplify]: Simplify 0 into 0 4.596 * [backup-simplify]: Simplify 1 into 1 4.596 * [taylor]: Taking taylor expansion of (* im im) in re 4.596 * [taylor]: Taking taylor expansion of im in re 4.596 * [backup-simplify]: Simplify im into im 4.596 * [taylor]: Taking taylor expansion of im in re 4.596 * [backup-simplify]: Simplify im into im 4.597 * [backup-simplify]: Simplify (* 0 0) into 0 4.597 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.597 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.597 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.598 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.598 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.598 * [backup-simplify]: Simplify (+ 0 0) into 0 4.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.598 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 4.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 4.599 * [taylor]: Taking taylor expansion of re in re 4.599 * [backup-simplify]: Simplify 0 into 0 4.599 * [backup-simplify]: Simplify 1 into 1 4.599 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im 4.599 * [backup-simplify]: Simplify (+ im 0) into im 4.599 * [taylor]: Taking taylor expansion of im in im 4.599 * [backup-simplify]: Simplify 0 into 0 4.599 * [backup-simplify]: Simplify 1 into 1 4.599 * [backup-simplify]: Simplify 0 into 0 4.599 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0 4.600 * [backup-simplify]: Simplify (+ 0 1) into 1 4.600 * [taylor]: Taking taylor expansion of 1 in im 4.600 * [backup-simplify]: Simplify 1 into 1 4.600 * [backup-simplify]: Simplify 1 into 1 4.600 * [backup-simplify]: Simplify 1 into 1 4.601 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.602 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.602 * [backup-simplify]: Simplify (+ 1 0) into 1 4.603 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.604 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 4.605 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.605 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.606 * [backup-simplify]: Simplify (+ 1 0) into 1 4.607 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.608 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 4.609 * [backup-simplify]: Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im)) 4.609 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im)) 4.609 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 4.609 * [taylor]: Taking taylor expansion of 1/2 in im 4.609 * [backup-simplify]: Simplify 1/2 into 1/2 4.609 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.609 * [taylor]: Taking taylor expansion of im in im 4.609 * [backup-simplify]: Simplify 0 into 0 4.609 * [backup-simplify]: Simplify 1 into 1 4.610 * [backup-simplify]: Simplify (/ 1 1) into 1 4.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.611 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.611 * [backup-simplify]: Simplify 0 into 0 4.611 * [backup-simplify]: Simplify 0 into 0 4.611 * [backup-simplify]: Simplify 0 into 0 4.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.613 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.614 * [backup-simplify]: Simplify (+ 0 0) into 0 4.614 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.614 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0 4.616 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.616 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.617 * [backup-simplify]: Simplify (+ 0 0) into 0 4.617 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.617 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0 4.618 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0 4.618 * [backup-simplify]: Simplify (+ 0 0) into 0 4.618 * [taylor]: Taking taylor expansion of 0 in im 4.618 * [backup-simplify]: Simplify 0 into 0 4.619 * [backup-simplify]: Simplify 0 into 0 4.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.621 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 4.621 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) 4.622 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in (re im) around 0 4.622 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in im 4.622 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 4.622 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 4.622 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 4.622 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.622 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.622 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.622 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.622 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.622 * [taylor]: Taking taylor expansion of re in im 4.622 * [backup-simplify]: Simplify re into re 4.622 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.622 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.622 * [taylor]: Taking taylor expansion of re in im 4.622 * [backup-simplify]: Simplify re into re 4.622 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.622 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.622 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.622 * [taylor]: Taking taylor expansion of im in im 4.622 * [backup-simplify]: Simplify 0 into 0 4.622 * [backup-simplify]: Simplify 1 into 1 4.623 * [backup-simplify]: Simplify (/ 1 1) into 1 4.623 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.623 * [taylor]: Taking taylor expansion of im in im 4.623 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify 1 into 1 4.623 * [backup-simplify]: Simplify (/ 1 1) into 1 4.624 * [backup-simplify]: Simplify (* 1 1) into 1 4.624 * [backup-simplify]: Simplify (+ 0 1) into 1 4.625 * [backup-simplify]: Simplify (sqrt 1) into 1 4.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.627 * [backup-simplify]: Simplify (+ 0 0) into 0 4.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.629 * [backup-simplify]: Simplify (sqrt 0) into 0 4.630 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.630 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 4.630 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.630 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.630 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.630 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.630 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.630 * [taylor]: Taking taylor expansion of re in im 4.631 * [backup-simplify]: Simplify re into re 4.631 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.631 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.631 * [taylor]: Taking taylor expansion of re in im 4.631 * [backup-simplify]: Simplify re into re 4.631 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.631 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.631 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.631 * [taylor]: Taking taylor expansion of im in im 4.631 * [backup-simplify]: Simplify 0 into 0 4.631 * [backup-simplify]: Simplify 1 into 1 4.631 * [backup-simplify]: Simplify (/ 1 1) into 1 4.631 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.631 * [taylor]: Taking taylor expansion of im in im 4.631 * [backup-simplify]: Simplify 0 into 0 4.631 * [backup-simplify]: Simplify 1 into 1 4.631 * [backup-simplify]: Simplify (/ 1 1) into 1 4.632 * [backup-simplify]: Simplify (* 1 1) into 1 4.632 * [backup-simplify]: Simplify (+ 0 1) into 1 4.632 * [backup-simplify]: Simplify (sqrt 1) into 1 4.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.634 * [backup-simplify]: Simplify (+ 0 0) into 0 4.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.635 * [backup-simplify]: Simplify (sqrt 0) into 0 4.635 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.635 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.635 * [taylor]: Taking taylor expansion of re in im 4.635 * [backup-simplify]: Simplify re into re 4.635 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.636 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 4.636 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 4.636 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 4.636 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 4.636 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.636 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.636 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.636 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.636 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.636 * [taylor]: Taking taylor expansion of re in re 4.636 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify 1 into 1 4.636 * [backup-simplify]: Simplify (/ 1 1) into 1 4.636 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.636 * [taylor]: Taking taylor expansion of re in re 4.636 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify 1 into 1 4.637 * [backup-simplify]: Simplify (/ 1 1) into 1 4.637 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.637 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.637 * [taylor]: Taking taylor expansion of im in re 4.637 * [backup-simplify]: Simplify im into im 4.637 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.637 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.637 * [taylor]: Taking taylor expansion of im in re 4.637 * [backup-simplify]: Simplify im into im 4.637 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.637 * [backup-simplify]: Simplify (* 1 1) into 1 4.637 * [backup-simplify]: Simplify (+ 1 0) into 1 4.638 * [backup-simplify]: Simplify (sqrt 1) into 1 4.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.639 * [backup-simplify]: Simplify (+ 0 0) into 0 4.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.640 * [backup-simplify]: Simplify (sqrt 0) into 0 4.641 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.641 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 4.641 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.641 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.641 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.641 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.641 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.641 * [taylor]: Taking taylor expansion of re in re 4.641 * [backup-simplify]: Simplify 0 into 0 4.641 * [backup-simplify]: Simplify 1 into 1 4.641 * [backup-simplify]: Simplify (/ 1 1) into 1 4.641 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.641 * [taylor]: Taking taylor expansion of re in re 4.641 * [backup-simplify]: Simplify 0 into 0 4.641 * [backup-simplify]: Simplify 1 into 1 4.641 * [backup-simplify]: Simplify (/ 1 1) into 1 4.641 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.641 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.641 * [taylor]: Taking taylor expansion of im in re 4.641 * [backup-simplify]: Simplify im into im 4.642 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.642 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.642 * [taylor]: Taking taylor expansion of im in re 4.642 * [backup-simplify]: Simplify im into im 4.642 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.642 * [backup-simplify]: Simplify (* 1 1) into 1 4.642 * [backup-simplify]: Simplify (+ 1 0) into 1 4.642 * [backup-simplify]: Simplify (sqrt 1) into 1 4.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.644 * [backup-simplify]: Simplify (+ 0 0) into 0 4.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.645 * [backup-simplify]: Simplify (sqrt 0) into 0 4.645 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.645 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.645 * [taylor]: Taking taylor expansion of re in re 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify 1 into 1 4.646 * [backup-simplify]: Simplify (/ 1 1) into 1 4.646 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 4.646 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 4.646 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 4.646 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 4.646 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.646 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.646 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.646 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.646 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.646 * [taylor]: Taking taylor expansion of re in re 4.646 * [backup-simplify]: Simplify 0 into 0 4.646 * [backup-simplify]: Simplify 1 into 1 4.646 * [backup-simplify]: Simplify (/ 1 1) into 1 4.646 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.646 * [taylor]: Taking taylor expansion of re in re 4.646 * [backup-simplify]: Simplify 0 into 0 4.646 * [backup-simplify]: Simplify 1 into 1 4.647 * [backup-simplify]: Simplify (/ 1 1) into 1 4.647 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.647 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.647 * [taylor]: Taking taylor expansion of im in re 4.647 * [backup-simplify]: Simplify im into im 4.647 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.647 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.647 * [taylor]: Taking taylor expansion of im in re 4.647 * [backup-simplify]: Simplify im into im 4.647 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.647 * [backup-simplify]: Simplify (* 1 1) into 1 4.647 * [backup-simplify]: Simplify (+ 1 0) into 1 4.648 * [backup-simplify]: Simplify (sqrt 1) into 1 4.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.649 * [backup-simplify]: Simplify (+ 0 0) into 0 4.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.650 * [backup-simplify]: Simplify (sqrt 0) into 0 4.651 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.651 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 4.651 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.651 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.651 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.651 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.651 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.651 * [taylor]: Taking taylor expansion of re in re 4.651 * [backup-simplify]: Simplify 0 into 0 4.651 * [backup-simplify]: Simplify 1 into 1 4.651 * [backup-simplify]: Simplify (/ 1 1) into 1 4.651 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.651 * [taylor]: Taking taylor expansion of re in re 4.651 * [backup-simplify]: Simplify 0 into 0 4.651 * [backup-simplify]: Simplify 1 into 1 4.651 * [backup-simplify]: Simplify (/ 1 1) into 1 4.651 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.651 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.651 * [taylor]: Taking taylor expansion of im in re 4.651 * [backup-simplify]: Simplify im into im 4.652 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.652 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.652 * [taylor]: Taking taylor expansion of im in re 4.652 * [backup-simplify]: Simplify im into im 4.652 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.652 * [backup-simplify]: Simplify (* 1 1) into 1 4.652 * [backup-simplify]: Simplify (+ 1 0) into 1 4.652 * [backup-simplify]: Simplify (sqrt 1) into 1 4.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.654 * [backup-simplify]: Simplify (+ 0 0) into 0 4.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.655 * [backup-simplify]: Simplify (sqrt 0) into 0 4.655 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.655 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.655 * [taylor]: Taking taylor expansion of re in re 4.655 * [backup-simplify]: Simplify 0 into 0 4.655 * [backup-simplify]: Simplify 1 into 1 4.656 * [backup-simplify]: Simplify (/ 1 1) into 1 4.656 * [backup-simplify]: Simplify (* 0 0) into 0 4.656 * [backup-simplify]: Simplify (+ 0 0) into 0 4.656 * [taylor]: Taking taylor expansion of 0 in im 4.656 * [backup-simplify]: Simplify 0 into 0 4.657 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 4.657 * [backup-simplify]: Simplify (+ 0 1) into 1 4.657 * [taylor]: Taking taylor expansion of 1 in im 4.657 * [backup-simplify]: Simplify 1 into 1 4.659 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.661 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.662 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 4.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.663 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 4.663 * [taylor]: Taking taylor expansion of (- +nan.0) in im 4.663 * [taylor]: Taking taylor expansion of +nan.0 in im 4.663 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.663 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.671 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 4.671 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.672 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.673 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 4.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.676 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 4.676 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.677 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.679 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 4.681 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0) 4.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.683 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 4.683 * [taylor]: Taking taylor expansion of (- +nan.0) in im 4.683 * [taylor]: Taking taylor expansion of +nan.0 in im 4.683 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.683 * [backup-simplify]: Simplify 1 into 1 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.687 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 4.687 * [backup-simplify]: Simplify (+ 0 0) into 0 4.688 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.690 * [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))) 4.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.693 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 4.694 * [backup-simplify]: Simplify (+ 0 0) into 0 4.694 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.696 * [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))) 4.698 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 4.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.700 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 4.700 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 4.700 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 4.700 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 4.700 * [taylor]: Taking taylor expansion of +nan.0 in im 4.700 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.700 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.700 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.700 * [taylor]: Taking taylor expansion of im in im 4.700 * [backup-simplify]: Simplify 0 into 0 4.700 * [backup-simplify]: Simplify 1 into 1 4.701 * [backup-simplify]: Simplify (* 1 1) into 1 4.701 * [backup-simplify]: Simplify (/ 1 1) into 1 4.701 * [taylor]: Taking taylor expansion of (- +nan.0) in im 4.701 * [taylor]: Taking taylor expansion of +nan.0 in im 4.701 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.702 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 4.702 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 4.703 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 4.703 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.703 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.704 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.704 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 im)) (/ 1 re)) 2)) (* 1 (* 1 (/ 1 (/ 1 re)))))) into (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))) 4.705 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) into (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) 4.705 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in (re im) around 0 4.705 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in im 4.705 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 4.705 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 4.705 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 4.705 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.705 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.705 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.705 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.705 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.705 * [taylor]: Taking taylor expansion of -1 in im 4.705 * [backup-simplify]: Simplify -1 into -1 4.705 * [taylor]: Taking taylor expansion of re in im 4.705 * [backup-simplify]: Simplify re into re 4.705 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.705 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.705 * [taylor]: Taking taylor expansion of -1 in im 4.705 * [backup-simplify]: Simplify -1 into -1 4.705 * [taylor]: Taking taylor expansion of re in im 4.705 * [backup-simplify]: Simplify re into re 4.705 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.705 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.705 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.705 * [taylor]: Taking taylor expansion of -1 in im 4.705 * [backup-simplify]: Simplify -1 into -1 4.705 * [taylor]: Taking taylor expansion of im in im 4.705 * [backup-simplify]: Simplify 0 into 0 4.705 * [backup-simplify]: Simplify 1 into 1 4.706 * [backup-simplify]: Simplify (/ -1 1) into -1 4.706 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.706 * [taylor]: Taking taylor expansion of -1 in im 4.706 * [backup-simplify]: Simplify -1 into -1 4.706 * [taylor]: Taking taylor expansion of im in im 4.706 * [backup-simplify]: Simplify 0 into 0 4.706 * [backup-simplify]: Simplify 1 into 1 4.706 * [backup-simplify]: Simplify (/ -1 1) into -1 4.706 * [backup-simplify]: Simplify (* -1 -1) into 1 4.706 * [backup-simplify]: Simplify (+ 0 1) into 1 4.707 * [backup-simplify]: Simplify (sqrt 1) into 1 4.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.708 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.708 * [backup-simplify]: Simplify (+ 0 0) into 0 4.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.709 * [backup-simplify]: Simplify (sqrt 0) into 0 4.710 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.710 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 4.710 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.710 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.710 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.710 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.710 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.710 * [taylor]: Taking taylor expansion of -1 in im 4.710 * [backup-simplify]: Simplify -1 into -1 4.710 * [taylor]: Taking taylor expansion of re in im 4.710 * [backup-simplify]: Simplify re into re 4.710 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.710 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.710 * [taylor]: Taking taylor expansion of -1 in im 4.710 * [backup-simplify]: Simplify -1 into -1 4.711 * [taylor]: Taking taylor expansion of re in im 4.711 * [backup-simplify]: Simplify re into re 4.711 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.711 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.711 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.711 * [taylor]: Taking taylor expansion of -1 in im 4.711 * [backup-simplify]: Simplify -1 into -1 4.711 * [taylor]: Taking taylor expansion of im in im 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [backup-simplify]: Simplify (/ -1 1) into -1 4.711 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.711 * [taylor]: Taking taylor expansion of -1 in im 4.711 * [backup-simplify]: Simplify -1 into -1 4.711 * [taylor]: Taking taylor expansion of im in im 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [backup-simplify]: Simplify (/ -1 1) into -1 4.712 * [backup-simplify]: Simplify (* -1 -1) into 1 4.712 * [backup-simplify]: Simplify (+ 0 1) into 1 4.712 * [backup-simplify]: Simplify (sqrt 1) into 1 4.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.714 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.714 * [backup-simplify]: Simplify (+ 0 0) into 0 4.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.715 * [backup-simplify]: Simplify (sqrt 0) into 0 4.716 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.716 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.716 * [taylor]: Taking taylor expansion of -1 in im 4.716 * [backup-simplify]: Simplify -1 into -1 4.716 * [taylor]: Taking taylor expansion of re in im 4.716 * [backup-simplify]: Simplify re into re 4.716 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.716 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 4.716 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 4.716 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 4.716 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 4.716 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.716 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.716 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.716 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.716 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.716 * [taylor]: Taking taylor expansion of -1 in re 4.716 * [backup-simplify]: Simplify -1 into -1 4.716 * [taylor]: Taking taylor expansion of re in re 4.716 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify 1 into 1 4.716 * [backup-simplify]: Simplify (/ -1 1) into -1 4.716 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.716 * [taylor]: Taking taylor expansion of -1 in re 4.716 * [backup-simplify]: Simplify -1 into -1 4.717 * [taylor]: Taking taylor expansion of re in re 4.717 * [backup-simplify]: Simplify 0 into 0 4.717 * [backup-simplify]: Simplify 1 into 1 4.717 * [backup-simplify]: Simplify (/ -1 1) into -1 4.717 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.717 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.717 * [taylor]: Taking taylor expansion of -1 in re 4.717 * [backup-simplify]: Simplify -1 into -1 4.717 * [taylor]: Taking taylor expansion of im in re 4.717 * [backup-simplify]: Simplify im into im 4.717 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.717 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.717 * [taylor]: Taking taylor expansion of -1 in re 4.717 * [backup-simplify]: Simplify -1 into -1 4.717 * [taylor]: Taking taylor expansion of im in re 4.717 * [backup-simplify]: Simplify im into im 4.717 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.717 * [backup-simplify]: Simplify (* -1 -1) into 1 4.718 * [backup-simplify]: Simplify (+ 1 0) into 1 4.718 * [backup-simplify]: Simplify (sqrt 1) into 1 4.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.719 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.720 * [backup-simplify]: Simplify (+ 0 0) into 0 4.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.720 * [backup-simplify]: Simplify (sqrt 0) into 0 4.721 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.721 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 4.721 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.721 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.721 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.721 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.721 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.721 * [taylor]: Taking taylor expansion of -1 in re 4.721 * [backup-simplify]: Simplify -1 into -1 4.721 * [taylor]: Taking taylor expansion of re in re 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [backup-simplify]: Simplify 1 into 1 4.722 * [backup-simplify]: Simplify (/ -1 1) into -1 4.722 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.722 * [taylor]: Taking taylor expansion of -1 in re 4.722 * [backup-simplify]: Simplify -1 into -1 4.722 * [taylor]: Taking taylor expansion of re in re 4.722 * [backup-simplify]: Simplify 0 into 0 4.722 * [backup-simplify]: Simplify 1 into 1 4.722 * [backup-simplify]: Simplify (/ -1 1) into -1 4.722 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.722 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.722 * [taylor]: Taking taylor expansion of -1 in re 4.722 * [backup-simplify]: Simplify -1 into -1 4.722 * [taylor]: Taking taylor expansion of im in re 4.722 * [backup-simplify]: Simplify im into im 4.722 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.722 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.722 * [taylor]: Taking taylor expansion of -1 in re 4.722 * [backup-simplify]: Simplify -1 into -1 4.722 * [taylor]: Taking taylor expansion of im in re 4.722 * [backup-simplify]: Simplify im into im 4.722 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.723 * [backup-simplify]: Simplify (* -1 -1) into 1 4.723 * [backup-simplify]: Simplify (+ 1 0) into 1 4.723 * [backup-simplify]: Simplify (sqrt 1) into 1 4.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.725 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.725 * [backup-simplify]: Simplify (+ 0 0) into 0 4.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.725 * [backup-simplify]: Simplify (sqrt 0) into 0 4.726 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.726 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.726 * [taylor]: Taking taylor expansion of -1 in re 4.726 * [backup-simplify]: Simplify -1 into -1 4.726 * [taylor]: Taking taylor expansion of re in re 4.726 * [backup-simplify]: Simplify 0 into 0 4.726 * [backup-simplify]: Simplify 1 into 1 4.727 * [backup-simplify]: Simplify (/ -1 1) into -1 4.727 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 4.727 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 4.727 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 4.727 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 4.727 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.727 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.727 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.727 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.727 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.727 * [taylor]: Taking taylor expansion of -1 in re 4.727 * [backup-simplify]: Simplify -1 into -1 4.727 * [taylor]: Taking taylor expansion of re in re 4.727 * [backup-simplify]: Simplify 0 into 0 4.727 * [backup-simplify]: Simplify 1 into 1 4.728 * [backup-simplify]: Simplify (/ -1 1) into -1 4.728 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.728 * [taylor]: Taking taylor expansion of -1 in re 4.728 * [backup-simplify]: Simplify -1 into -1 4.728 * [taylor]: Taking taylor expansion of re in re 4.728 * [backup-simplify]: Simplify 0 into 0 4.728 * [backup-simplify]: Simplify 1 into 1 4.728 * [backup-simplify]: Simplify (/ -1 1) into -1 4.728 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.728 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.728 * [taylor]: Taking taylor expansion of -1 in re 4.728 * [backup-simplify]: Simplify -1 into -1 4.728 * [taylor]: Taking taylor expansion of im in re 4.728 * [backup-simplify]: Simplify im into im 4.728 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.728 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.728 * [taylor]: Taking taylor expansion of -1 in re 4.728 * [backup-simplify]: Simplify -1 into -1 4.728 * [taylor]: Taking taylor expansion of im in re 4.728 * [backup-simplify]: Simplify im into im 4.728 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.728 * [backup-simplify]: Simplify (* -1 -1) into 1 4.729 * [backup-simplify]: Simplify (+ 1 0) into 1 4.729 * [backup-simplify]: Simplify (sqrt 1) into 1 4.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.730 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.731 * [backup-simplify]: Simplify (+ 0 0) into 0 4.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.731 * [backup-simplify]: Simplify (sqrt 0) into 0 4.732 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.732 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 4.732 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.732 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.732 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.733 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.733 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.733 * [taylor]: Taking taylor expansion of -1 in re 4.733 * [backup-simplify]: Simplify -1 into -1 4.733 * [taylor]: Taking taylor expansion of re in re 4.733 * [backup-simplify]: Simplify 0 into 0 4.733 * [backup-simplify]: Simplify 1 into 1 4.733 * [backup-simplify]: Simplify (/ -1 1) into -1 4.733 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.733 * [taylor]: Taking taylor expansion of -1 in re 4.733 * [backup-simplify]: Simplify -1 into -1 4.733 * [taylor]: Taking taylor expansion of re in re 4.733 * [backup-simplify]: Simplify 0 into 0 4.733 * [backup-simplify]: Simplify 1 into 1 4.733 * [backup-simplify]: Simplify (/ -1 1) into -1 4.733 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.733 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.733 * [taylor]: Taking taylor expansion of -1 in re 4.733 * [backup-simplify]: Simplify -1 into -1 4.733 * [taylor]: Taking taylor expansion of im in re 4.733 * [backup-simplify]: Simplify im into im 4.733 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.733 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.734 * [taylor]: Taking taylor expansion of -1 in re 4.734 * [backup-simplify]: Simplify -1 into -1 4.734 * [taylor]: Taking taylor expansion of im in re 4.734 * [backup-simplify]: Simplify im into im 4.734 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.734 * [backup-simplify]: Simplify (* -1 -1) into 1 4.734 * [backup-simplify]: Simplify (+ 1 0) into 1 4.734 * [backup-simplify]: Simplify (sqrt 1) into 1 4.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.736 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.736 * [backup-simplify]: Simplify (+ 0 0) into 0 4.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.737 * [backup-simplify]: Simplify (sqrt 0) into 0 4.738 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.738 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.738 * [taylor]: Taking taylor expansion of -1 in re 4.738 * [backup-simplify]: Simplify -1 into -1 4.738 * [taylor]: Taking taylor expansion of re in re 4.738 * [backup-simplify]: Simplify 0 into 0 4.738 * [backup-simplify]: Simplify 1 into 1 4.738 * [backup-simplify]: Simplify (/ -1 1) into -1 4.739 * [backup-simplify]: Simplify (* 0 0) into 0 4.739 * [backup-simplify]: Simplify (+ 0 0) into 0 4.739 * [taylor]: Taking taylor expansion of 0 in im 4.739 * [backup-simplify]: Simplify 0 into 0 4.739 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 4.740 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.740 * [taylor]: Taking taylor expansion of -1 in im 4.740 * [backup-simplify]: Simplify -1 into -1 4.742 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.744 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.745 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 4.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.746 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 4.746 * [taylor]: Taking taylor expansion of (- +nan.0) in im 4.746 * [taylor]: Taking taylor expansion of +nan.0 in im 4.747 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.747 * [backup-simplify]: Simplify 0 into 0 4.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.748 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.748 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 4.749 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.749 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.751 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 4.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.752 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.752 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 4.753 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.753 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.755 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 4.756 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0) 4.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.757 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 4.757 * [taylor]: Taking taylor expansion of (- +nan.0) in im 4.757 * [taylor]: Taking taylor expansion of +nan.0 in im 4.757 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.757 * [backup-simplify]: Simplify -1 into -1 4.757 * [backup-simplify]: Simplify 0 into 0 4.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.759 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.759 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.759 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.759 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 4.759 * [backup-simplify]: Simplify (+ 0 0) into 0 4.760 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.761 * [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))) 4.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.762 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.762 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.763 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.763 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 4.763 * [backup-simplify]: Simplify (+ 0 0) into 0 4.763 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.764 * [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))) 4.766 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 4.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.767 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 4.767 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 4.767 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 4.767 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 4.767 * [taylor]: Taking taylor expansion of +nan.0 in im 4.767 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.767 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.767 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.767 * [taylor]: Taking taylor expansion of im in im 4.767 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify 1 into 1 4.767 * [backup-simplify]: Simplify (* 1 1) into 1 4.767 * [backup-simplify]: Simplify (/ 1 1) into 1 4.767 * [taylor]: Taking taylor expansion of (- +nan.0) in im 4.767 * [taylor]: Taking taylor expansion of +nan.0 in im 4.767 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.768 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 4.768 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 4.768 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 4.769 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.769 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.769 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.770 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 (- im))) (/ 1 (- re))) 2)) (* -1 (* 1 (/ 1 (/ 1 (- re))))))) into (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))) 4.770 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 4.770 * [backup-simplify]: Simplify (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0)) into (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) 4.770 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) in (re im) around 0 4.770 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) in im 4.770 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.770 * [taylor]: Taking taylor expansion of 2.0 in im 4.770 * [backup-simplify]: Simplify 2.0 into 2.0 4.771 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.771 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in im 4.771 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in im 4.771 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 4.771 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 4.771 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 4.771 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.771 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.771 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.771 * [taylor]: Taking taylor expansion of (* re re) in im 4.771 * [taylor]: Taking taylor expansion of re in im 4.771 * [backup-simplify]: Simplify re into re 4.771 * [taylor]: Taking taylor expansion of re in im 4.771 * [backup-simplify]: Simplify re into re 4.771 * [taylor]: Taking taylor expansion of (* im im) in im 4.771 * [taylor]: Taking taylor expansion of im in im 4.771 * [backup-simplify]: Simplify 0 into 0 4.772 * [backup-simplify]: Simplify 1 into 1 4.772 * [taylor]: Taking taylor expansion of im in im 4.772 * [backup-simplify]: Simplify 0 into 0 4.772 * [backup-simplify]: Simplify 1 into 1 4.772 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.772 * [backup-simplify]: Simplify (* 0 0) into 0 4.772 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.772 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.772 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.772 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.773 * [backup-simplify]: Simplify (+ 0 0) into 0 4.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.773 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 4.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 4.773 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 4.773 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.773 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.773 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.773 * [taylor]: Taking taylor expansion of (* re re) in im 4.773 * [taylor]: Taking taylor expansion of re in im 4.773 * [backup-simplify]: Simplify re into re 4.773 * [taylor]: Taking taylor expansion of re in im 4.773 * [backup-simplify]: Simplify re into re 4.773 * [taylor]: Taking taylor expansion of (* im im) in im 4.773 * [taylor]: Taking taylor expansion of im in im 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify 1 into 1 4.773 * [taylor]: Taking taylor expansion of im in im 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify 1 into 1 4.773 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.775 * [backup-simplify]: Simplify (* 0 0) into 0 4.776 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.776 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.776 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.776 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.777 * [backup-simplify]: Simplify (+ 0 0) into 0 4.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.777 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 4.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 4.777 * [taylor]: Taking taylor expansion of re in im 4.777 * [backup-simplify]: Simplify re into re 4.777 * [backup-simplify]: Simplify (* (sqrt re) (sqrt re)) into re 4.777 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 4.777 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 4.777 * [backup-simplify]: Simplify (+ (* (sqrt re) 0) (* 0 (sqrt re))) into 0 4.777 * [backup-simplify]: Simplify (+ 0 0) into 0 4.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 4.777 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) in re 4.777 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.777 * [taylor]: Taking taylor expansion of 2.0 in re 4.777 * [backup-simplify]: Simplify 2.0 into 2.0 4.778 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.778 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in re 4.778 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 4.778 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 4.778 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 4.778 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 4.778 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.778 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.778 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.778 * [taylor]: Taking taylor expansion of (* re re) in re 4.778 * [taylor]: Taking taylor expansion of re in re 4.778 * [backup-simplify]: Simplify 0 into 0 4.778 * [backup-simplify]: Simplify 1 into 1 4.778 * [taylor]: Taking taylor expansion of re in re 4.779 * [backup-simplify]: Simplify 0 into 0 4.779 * [backup-simplify]: Simplify 1 into 1 4.779 * [taylor]: Taking taylor expansion of (* im im) in re 4.779 * [taylor]: Taking taylor expansion of im in re 4.779 * [backup-simplify]: Simplify im into im 4.779 * [taylor]: Taking taylor expansion of im in re 4.779 * [backup-simplify]: Simplify im into im 4.779 * [backup-simplify]: Simplify (* 0 0) into 0 4.779 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.779 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.779 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.779 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.780 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.780 * [backup-simplify]: Simplify (+ 0 0) into 0 4.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.780 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 4.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 4.780 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 4.780 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.780 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.780 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.780 * [taylor]: Taking taylor expansion of (* re re) in re 4.780 * [taylor]: Taking taylor expansion of re in re 4.780 * [backup-simplify]: Simplify 0 into 0 4.780 * [backup-simplify]: Simplify 1 into 1 4.780 * [taylor]: Taking taylor expansion of re in re 4.780 * [backup-simplify]: Simplify 0 into 0 4.780 * [backup-simplify]: Simplify 1 into 1 4.780 * [taylor]: Taking taylor expansion of (* im im) in re 4.780 * [taylor]: Taking taylor expansion of im in re 4.780 * [backup-simplify]: Simplify im into im 4.780 * [taylor]: Taking taylor expansion of im in re 4.780 * [backup-simplify]: Simplify im into im 4.781 * [backup-simplify]: Simplify (* 0 0) into 0 4.781 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.781 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.781 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.781 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.781 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.781 * [backup-simplify]: Simplify (+ 0 0) into 0 4.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.782 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 4.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 4.782 * [taylor]: Taking taylor expansion of re in re 4.782 * [backup-simplify]: Simplify 0 into 0 4.782 * [backup-simplify]: Simplify 1 into 1 4.782 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im 4.782 * [backup-simplify]: Simplify (+ im 0) into im 4.782 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 4.782 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0 4.782 * [backup-simplify]: Simplify (+ 0 1) into 1 4.782 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 4.782 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) in re 4.782 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.782 * [taylor]: Taking taylor expansion of 2.0 in re 4.782 * [backup-simplify]: Simplify 2.0 into 2.0 4.783 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.783 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in re 4.783 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 4.783 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 4.783 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 4.783 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 4.783 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.783 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.783 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.783 * [taylor]: Taking taylor expansion of (* re re) in re 4.783 * [taylor]: Taking taylor expansion of re in re 4.783 * [backup-simplify]: Simplify 0 into 0 4.783 * [backup-simplify]: Simplify 1 into 1 4.783 * [taylor]: Taking taylor expansion of re in re 4.783 * [backup-simplify]: Simplify 0 into 0 4.783 * [backup-simplify]: Simplify 1 into 1 4.783 * [taylor]: Taking taylor expansion of (* im im) in re 4.784 * [taylor]: Taking taylor expansion of im in re 4.784 * [backup-simplify]: Simplify im into im 4.784 * [taylor]: Taking taylor expansion of im in re 4.784 * [backup-simplify]: Simplify im into im 4.784 * [backup-simplify]: Simplify (* 0 0) into 0 4.784 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.784 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.784 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.784 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.784 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.785 * [backup-simplify]: Simplify (+ 0 0) into 0 4.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.785 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 4.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 4.785 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 4.785 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.785 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.785 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.785 * [taylor]: Taking taylor expansion of (* re re) in re 4.785 * [taylor]: Taking taylor expansion of re in re 4.785 * [backup-simplify]: Simplify 0 into 0 4.785 * [backup-simplify]: Simplify 1 into 1 4.785 * [taylor]: Taking taylor expansion of re in re 4.785 * [backup-simplify]: Simplify 0 into 0 4.785 * [backup-simplify]: Simplify 1 into 1 4.785 * [taylor]: Taking taylor expansion of (* im im) in re 4.785 * [taylor]: Taking taylor expansion of im in re 4.785 * [backup-simplify]: Simplify im into im 4.785 * [taylor]: Taking taylor expansion of im in re 4.785 * [backup-simplify]: Simplify im into im 4.785 * [backup-simplify]: Simplify (* 0 0) into 0 4.786 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.786 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.786 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.786 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.786 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.786 * [backup-simplify]: Simplify (+ 0 0) into 0 4.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.787 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 4.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 4.787 * [taylor]: Taking taylor expansion of re in re 4.787 * [backup-simplify]: Simplify 0 into 0 4.787 * [backup-simplify]: Simplify 1 into 1 4.787 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im 4.787 * [backup-simplify]: Simplify (+ im 0) into im 4.787 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 4.787 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0 4.788 * [backup-simplify]: Simplify (+ 0 1) into 1 4.788 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 4.788 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 4.788 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 4.788 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.788 * [taylor]: Taking taylor expansion of 2.0 in im 4.788 * [backup-simplify]: Simplify 2.0 into 2.0 4.789 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.789 * [taylor]: Taking taylor expansion of (sqrt im) in im 4.789 * [taylor]: Taking taylor expansion of im in im 4.789 * [backup-simplify]: Simplify 0 into 0 4.789 * [backup-simplify]: Simplify 1 into 1 4.790 * [backup-simplify]: Simplify (sqrt 0) into 0 4.791 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.792 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 4.792 * [backup-simplify]: Simplify 0 into 0 4.793 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 4.793 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 4.793 * [taylor]: Taking taylor expansion of 1/2 in im 4.793 * [backup-simplify]: Simplify 1/2 into 1/2 4.793 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 4.793 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.793 * [taylor]: Taking taylor expansion of 2.0 in im 4.793 * [backup-simplify]: Simplify 2.0 into 2.0 4.793 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.794 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 4.794 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.794 * [taylor]: Taking taylor expansion of im in im 4.794 * [backup-simplify]: Simplify 0 into 0 4.794 * [backup-simplify]: Simplify 1 into 1 4.795 * [backup-simplify]: Simplify (/ 1 1) into 1 4.795 * [backup-simplify]: Simplify (sqrt 0) into 0 4.796 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.799 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 4.799 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 4.804 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 4.805 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.807 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 4.809 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.810 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.810 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.811 * [backup-simplify]: Simplify (+ 1 0) into 1 4.811 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.812 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 4.813 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.814 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.814 * [backup-simplify]: Simplify (+ 1 0) into 1 4.815 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.815 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 4.816 * [backup-simplify]: Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im)) 4.816 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im)) 4.816 * [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)))) 4.817 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.818 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) 4.818 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 4.818 * [taylor]: Taking taylor expansion of 1/8 in im 4.818 * [backup-simplify]: Simplify 1/8 into 1/8 4.818 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 4.818 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.818 * [taylor]: Taking taylor expansion of 2.0 in im 4.818 * [backup-simplify]: Simplify 2.0 into 2.0 4.818 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.818 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 4.818 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 4.818 * [taylor]: Taking taylor expansion of (pow im 3) in im 4.818 * [taylor]: Taking taylor expansion of im in im 4.818 * [backup-simplify]: Simplify 0 into 0 4.819 * [backup-simplify]: Simplify 1 into 1 4.819 * [backup-simplify]: Simplify (* 1 1) into 1 4.819 * [backup-simplify]: Simplify (* 1 1) into 1 4.819 * [backup-simplify]: Simplify (/ 1 1) into 1 4.819 * [backup-simplify]: Simplify (sqrt 0) into 0 4.820 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.823 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.824 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.826 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 4.827 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 4.827 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 4.830 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 4.831 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.834 * [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))))))) 4.834 * [backup-simplify]: Simplify (sqrt (* (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) 2.0)) into (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) 4.835 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in (re im) around 0 4.835 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in im 4.835 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.835 * [taylor]: Taking taylor expansion of 2.0 in im 4.835 * [backup-simplify]: Simplify 2.0 into 2.0 4.835 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.835 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in im 4.835 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in im 4.836 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 4.836 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 4.836 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 4.836 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.836 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.836 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.836 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.836 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.836 * [taylor]: Taking taylor expansion of re in im 4.836 * [backup-simplify]: Simplify re into re 4.836 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.836 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.836 * [taylor]: Taking taylor expansion of re in im 4.836 * [backup-simplify]: Simplify re into re 4.836 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.836 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.836 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.836 * [taylor]: Taking taylor expansion of im in im 4.836 * [backup-simplify]: Simplify 0 into 0 4.836 * [backup-simplify]: Simplify 1 into 1 4.836 * [backup-simplify]: Simplify (/ 1 1) into 1 4.836 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.836 * [taylor]: Taking taylor expansion of im in im 4.836 * [backup-simplify]: Simplify 0 into 0 4.836 * [backup-simplify]: Simplify 1 into 1 4.836 * [backup-simplify]: Simplify (/ 1 1) into 1 4.837 * [backup-simplify]: Simplify (* 1 1) into 1 4.837 * [backup-simplify]: Simplify (+ 0 1) into 1 4.837 * [backup-simplify]: Simplify (sqrt 1) into 1 4.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.839 * [backup-simplify]: Simplify (+ 0 0) into 0 4.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.840 * [backup-simplify]: Simplify (sqrt 0) into 0 4.840 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.840 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 4.840 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.841 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.841 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.841 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.841 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.841 * [taylor]: Taking taylor expansion of re in im 4.841 * [backup-simplify]: Simplify re into re 4.841 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.841 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.841 * [taylor]: Taking taylor expansion of re in im 4.841 * [backup-simplify]: Simplify re into re 4.841 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.841 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.841 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.841 * [taylor]: Taking taylor expansion of im in im 4.841 * [backup-simplify]: Simplify 0 into 0 4.841 * [backup-simplify]: Simplify 1 into 1 4.841 * [backup-simplify]: Simplify (/ 1 1) into 1 4.841 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.841 * [taylor]: Taking taylor expansion of im in im 4.841 * [backup-simplify]: Simplify 0 into 0 4.841 * [backup-simplify]: Simplify 1 into 1 4.841 * [backup-simplify]: Simplify (/ 1 1) into 1 4.842 * [backup-simplify]: Simplify (* 1 1) into 1 4.842 * [backup-simplify]: Simplify (+ 0 1) into 1 4.842 * [backup-simplify]: Simplify (sqrt 1) into 1 4.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.844 * [backup-simplify]: Simplify (+ 0 0) into 0 4.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.844 * [backup-simplify]: Simplify (sqrt 0) into 0 4.845 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.845 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.845 * [taylor]: Taking taylor expansion of re in im 4.845 * [backup-simplify]: Simplify re into re 4.845 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.846 * [backup-simplify]: Simplify (* 0 0) into 0 4.846 * [backup-simplify]: Simplify (+ 0 0) into 0 4.846 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 4.847 * [backup-simplify]: Simplify (+ 0 0) into 0 4.849 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.851 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.852 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 4.853 * [backup-simplify]: Simplify (+ (- +nan.0) (/ 1 re)) into (- (/ 1 re) +nan.0) 4.853 * [backup-simplify]: Simplify (sqrt (- (/ 1 re) +nan.0)) into (sqrt (- (/ 1 re) +nan.0)) 4.853 * [backup-simplify]: Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2)) 4.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.855 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 4.856 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 4.857 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0)) 4.857 * [backup-simplify]: Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2)) 4.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.859 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 4.859 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 4.861 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0)) 4.862 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0)) 0)))) into (- +nan.0) 4.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 4.862 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 4.863 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- (/ 1 re) +nan.0)))) into (* +nan.0 (sqrt (/ 1 (- (/ 1 re) +nan.0)))) 4.863 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in re 4.863 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.863 * [taylor]: Taking taylor expansion of 2.0 in re 4.863 * [backup-simplify]: Simplify 2.0 into 2.0 4.863 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.863 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in re 4.863 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 4.864 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 4.864 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 4.864 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 4.864 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.864 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.864 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.864 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.864 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.864 * [taylor]: Taking taylor expansion of re in re 4.864 * [backup-simplify]: Simplify 0 into 0 4.864 * [backup-simplify]: Simplify 1 into 1 4.864 * [backup-simplify]: Simplify (/ 1 1) into 1 4.864 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.864 * [taylor]: Taking taylor expansion of re in re 4.864 * [backup-simplify]: Simplify 0 into 0 4.864 * [backup-simplify]: Simplify 1 into 1 4.864 * [backup-simplify]: Simplify (/ 1 1) into 1 4.864 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.864 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.864 * [taylor]: Taking taylor expansion of im in re 4.865 * [backup-simplify]: Simplify im into im 4.865 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.865 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.865 * [taylor]: Taking taylor expansion of im in re 4.865 * [backup-simplify]: Simplify im into im 4.865 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.865 * [backup-simplify]: Simplify (* 1 1) into 1 4.865 * [backup-simplify]: Simplify (+ 1 0) into 1 4.865 * [backup-simplify]: Simplify (sqrt 1) into 1 4.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.867 * [backup-simplify]: Simplify (+ 0 0) into 0 4.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.868 * [backup-simplify]: Simplify (sqrt 0) into 0 4.869 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.869 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 4.869 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.869 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.869 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.869 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.869 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.869 * [taylor]: Taking taylor expansion of re in re 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify 1 into 1 4.869 * [backup-simplify]: Simplify (/ 1 1) into 1 4.869 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.869 * [taylor]: Taking taylor expansion of re in re 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify 1 into 1 4.870 * [backup-simplify]: Simplify (/ 1 1) into 1 4.870 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.870 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.870 * [taylor]: Taking taylor expansion of im in re 4.870 * [backup-simplify]: Simplify im into im 4.870 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.870 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.870 * [taylor]: Taking taylor expansion of im in re 4.870 * [backup-simplify]: Simplify im into im 4.870 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.870 * [backup-simplify]: Simplify (* 1 1) into 1 4.870 * [backup-simplify]: Simplify (+ 1 0) into 1 4.871 * [backup-simplify]: Simplify (sqrt 1) into 1 4.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.874 * [backup-simplify]: Simplify (+ 0 0) into 0 4.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.875 * [backup-simplify]: Simplify (sqrt 0) into 0 4.876 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.876 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.876 * [taylor]: Taking taylor expansion of re in re 4.876 * [backup-simplify]: Simplify 0 into 0 4.876 * [backup-simplify]: Simplify 1 into 1 4.877 * [backup-simplify]: Simplify (/ 1 1) into 1 4.877 * [backup-simplify]: Simplify (* 0 0) into 0 4.877 * [backup-simplify]: Simplify (+ 0 0) into 0 4.878 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 4.879 * [backup-simplify]: Simplify (+ 0 1) into 1 4.879 * [backup-simplify]: Simplify (sqrt 0) into 0 4.880 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.880 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in re 4.880 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.880 * [taylor]: Taking taylor expansion of 2.0 in re 4.880 * [backup-simplify]: Simplify 2.0 into 2.0 4.881 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.882 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in re 4.882 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 4.882 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 4.882 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 4.882 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 4.882 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.883 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.883 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.883 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.883 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.883 * [taylor]: Taking taylor expansion of re in re 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify 1 into 1 4.883 * [backup-simplify]: Simplify (/ 1 1) into 1 4.883 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.883 * [taylor]: Taking taylor expansion of re in re 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify 1 into 1 4.884 * [backup-simplify]: Simplify (/ 1 1) into 1 4.884 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.884 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.884 * [taylor]: Taking taylor expansion of im in re 4.884 * [backup-simplify]: Simplify im into im 4.884 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.884 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.884 * [taylor]: Taking taylor expansion of im in re 4.884 * [backup-simplify]: Simplify im into im 4.884 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.887 * [backup-simplify]: Simplify (* 1 1) into 1 4.888 * [backup-simplify]: Simplify (+ 1 0) into 1 4.888 * [backup-simplify]: Simplify (sqrt 1) into 1 4.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.891 * [backup-simplify]: Simplify (+ 0 0) into 0 4.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.892 * [backup-simplify]: Simplify (sqrt 0) into 0 4.893 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.893 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 4.893 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.893 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.893 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.893 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.894 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.894 * [taylor]: Taking taylor expansion of re in re 4.894 * [backup-simplify]: Simplify 0 into 0 4.894 * [backup-simplify]: Simplify 1 into 1 4.894 * [backup-simplify]: Simplify (/ 1 1) into 1 4.894 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.894 * [taylor]: Taking taylor expansion of re in re 4.894 * [backup-simplify]: Simplify 0 into 0 4.894 * [backup-simplify]: Simplify 1 into 1 4.894 * [backup-simplify]: Simplify (/ 1 1) into 1 4.895 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.895 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.895 * [taylor]: Taking taylor expansion of im in re 4.895 * [backup-simplify]: Simplify im into im 4.895 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.895 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.895 * [taylor]: Taking taylor expansion of im in re 4.895 * [backup-simplify]: Simplify im into im 4.895 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.895 * [backup-simplify]: Simplify (* 1 1) into 1 4.896 * [backup-simplify]: Simplify (+ 1 0) into 1 4.896 * [backup-simplify]: Simplify (sqrt 1) into 1 4.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.899 * [backup-simplify]: Simplify (+ 0 0) into 0 4.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.900 * [backup-simplify]: Simplify (sqrt 0) into 0 4.901 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.901 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.901 * [taylor]: Taking taylor expansion of re in re 4.901 * [backup-simplify]: Simplify 0 into 0 4.901 * [backup-simplify]: Simplify 1 into 1 4.902 * [backup-simplify]: Simplify (/ 1 1) into 1 4.902 * [backup-simplify]: Simplify (* 0 0) into 0 4.903 * [backup-simplify]: Simplify (+ 0 0) into 0 4.904 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 4.904 * [backup-simplify]: Simplify (+ 0 1) into 1 4.904 * [backup-simplify]: Simplify (sqrt 0) into 0 4.906 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.907 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 4.907 * [taylor]: Taking taylor expansion of 0 in im 4.907 * [backup-simplify]: Simplify 0 into 0 4.907 * [backup-simplify]: Simplify 0 into 0 4.909 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 4.909 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 4.909 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 4.909 * [taylor]: Taking taylor expansion of +nan.0 in im 4.909 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.909 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.909 * [taylor]: Taking taylor expansion of 2.0 in im 4.909 * [backup-simplify]: Simplify 2.0 into 2.0 4.909 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.911 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 4.913 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.914 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.914 * [backup-simplify]: Simplify 0 into 0 4.918 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.921 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.923 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 4.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.925 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 4.929 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.930 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.933 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 4.933 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 4.933 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 4.933 * [taylor]: Taking taylor expansion of +nan.0 in im 4.933 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.933 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.933 * [taylor]: Taking taylor expansion of 2.0 in im 4.933 * [backup-simplify]: Simplify 2.0 into 2.0 4.934 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.935 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 4.937 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.939 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.939 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 4.940 * [backup-simplify]: Simplify (- 0) into 0 4.940 * [backup-simplify]: Simplify 0 into 0 4.940 * [backup-simplify]: Simplify 0 into 0 4.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.943 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 4.943 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.945 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.947 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 4.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.950 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 4.950 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.952 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.954 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 4.955 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0) 4.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.957 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 4.962 * [backup-simplify]: Simplify (/ (- (- +nan.0) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.963 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.965 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (sqrt 2.0))) 4.965 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 4.965 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 4.965 * [taylor]: Taking taylor expansion of +nan.0 in im 4.965 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.965 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.965 * [taylor]: Taking taylor expansion of 2.0 in im 4.965 * [backup-simplify]: Simplify 2.0 into 2.0 4.965 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.966 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 4.967 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.968 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.971 * [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) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 4.971 * [backup-simplify]: Simplify (sqrt (* (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) 2.0)) into (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)))) 4.971 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)))) in (re im) around 0 4.971 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)))) in im 4.971 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.971 * [taylor]: Taking taylor expansion of 2.0 in im 4.971 * [backup-simplify]: Simplify 2.0 into 2.0 4.972 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.972 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in im 4.972 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in im 4.972 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 4.972 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 4.972 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 4.972 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.973 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.973 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.973 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.973 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.973 * [taylor]: Taking taylor expansion of -1 in im 4.973 * [backup-simplify]: Simplify -1 into -1 4.973 * [taylor]: Taking taylor expansion of re in im 4.973 * [backup-simplify]: Simplify re into re 4.973 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.973 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.973 * [taylor]: Taking taylor expansion of -1 in im 4.973 * [backup-simplify]: Simplify -1 into -1 4.973 * [taylor]: Taking taylor expansion of re in im 4.973 * [backup-simplify]: Simplify re into re 4.973 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.973 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.973 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.973 * [taylor]: Taking taylor expansion of -1 in im 4.973 * [backup-simplify]: Simplify -1 into -1 4.973 * [taylor]: Taking taylor expansion of im in im 4.973 * [backup-simplify]: Simplify 0 into 0 4.973 * [backup-simplify]: Simplify 1 into 1 4.973 * [backup-simplify]: Simplify (/ -1 1) into -1 4.973 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.973 * [taylor]: Taking taylor expansion of -1 in im 4.973 * [backup-simplify]: Simplify -1 into -1 4.973 * [taylor]: Taking taylor expansion of im in im 4.973 * [backup-simplify]: Simplify 0 into 0 4.973 * [backup-simplify]: Simplify 1 into 1 4.974 * [backup-simplify]: Simplify (/ -1 1) into -1 4.974 * [backup-simplify]: Simplify (* -1 -1) into 1 4.974 * [backup-simplify]: Simplify (+ 0 1) into 1 4.974 * [backup-simplify]: Simplify (sqrt 1) into 1 4.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.976 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.976 * [backup-simplify]: Simplify (+ 0 0) into 0 4.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.977 * [backup-simplify]: Simplify (sqrt 0) into 0 4.978 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.978 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 4.978 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.978 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.978 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.978 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.978 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.978 * [taylor]: Taking taylor expansion of -1 in im 4.978 * [backup-simplify]: Simplify -1 into -1 4.978 * [taylor]: Taking taylor expansion of re in im 4.978 * [backup-simplify]: Simplify re into re 4.978 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.978 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.978 * [taylor]: Taking taylor expansion of -1 in im 4.978 * [backup-simplify]: Simplify -1 into -1 4.978 * [taylor]: Taking taylor expansion of re in im 4.978 * [backup-simplify]: Simplify re into re 4.978 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.978 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.978 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.978 * [taylor]: Taking taylor expansion of -1 in im 4.978 * [backup-simplify]: Simplify -1 into -1 4.978 * [taylor]: Taking taylor expansion of im in im 4.978 * [backup-simplify]: Simplify 0 into 0 4.978 * [backup-simplify]: Simplify 1 into 1 4.979 * [backup-simplify]: Simplify (/ -1 1) into -1 4.979 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.979 * [taylor]: Taking taylor expansion of -1 in im 4.979 * [backup-simplify]: Simplify -1 into -1 4.979 * [taylor]: Taking taylor expansion of im in im 4.979 * [backup-simplify]: Simplify 0 into 0 4.979 * [backup-simplify]: Simplify 1 into 1 4.979 * [backup-simplify]: Simplify (/ -1 1) into -1 4.979 * [backup-simplify]: Simplify (* -1 -1) into 1 4.979 * [backup-simplify]: Simplify (+ 0 1) into 1 4.980 * [backup-simplify]: Simplify (sqrt 1) into 1 4.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.981 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.981 * [backup-simplify]: Simplify (+ 0 0) into 0 4.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.982 * [backup-simplify]: Simplify (sqrt 0) into 0 4.983 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.983 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.983 * [taylor]: Taking taylor expansion of -1 in im 4.983 * [backup-simplify]: Simplify -1 into -1 4.983 * [taylor]: Taking taylor expansion of re in im 4.983 * [backup-simplify]: Simplify re into re 4.983 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.983 * [backup-simplify]: Simplify (* 0 0) into 0 4.983 * [backup-simplify]: Simplify (+ 0 0) into 0 4.984 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 4.984 * [backup-simplify]: Simplify (+ 0 0) into 0 4.986 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.988 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.989 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 4.990 * [backup-simplify]: Simplify (+ (- +nan.0) (/ -1 re)) into (- (+ (/ 1 re) (- +nan.0))) 4.990 * [backup-simplify]: Simplify (sqrt (- (+ (/ 1 re) (- +nan.0)))) into (sqrt (- (+ (/ 1 re) (- +nan.0)))) 4.990 * [backup-simplify]: Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2)) 4.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.993 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.993 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 4.994 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 4.996 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0)) 4.996 * [backup-simplify]: Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2)) 4.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.999 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.000 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 5.001 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 5.003 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0)) 5.004 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0)) 0)))) into (- +nan.0) 5.004 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 5.005 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 5.006 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- (+ (/ 1 re) (- +nan.0)))))) into (/ +nan.0 (sqrt (- (+ (/ 1 re) (- +nan.0))))) 5.006 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)))) in re 5.006 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.006 * [taylor]: Taking taylor expansion of 2.0 in re 5.006 * [backup-simplify]: Simplify 2.0 into 2.0 5.007 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.008 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in re 5.008 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 5.008 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 5.008 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 5.008 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 5.008 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.008 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.008 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.008 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.008 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.008 * [taylor]: Taking taylor expansion of -1 in re 5.008 * [backup-simplify]: Simplify -1 into -1 5.008 * [taylor]: Taking taylor expansion of re in re 5.008 * [backup-simplify]: Simplify 0 into 0 5.008 * [backup-simplify]: Simplify 1 into 1 5.009 * [backup-simplify]: Simplify (/ -1 1) into -1 5.009 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.009 * [taylor]: Taking taylor expansion of -1 in re 5.009 * [backup-simplify]: Simplify -1 into -1 5.009 * [taylor]: Taking taylor expansion of re in re 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [backup-simplify]: Simplify 1 into 1 5.009 * [backup-simplify]: Simplify (/ -1 1) into -1 5.009 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.009 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.009 * [taylor]: Taking taylor expansion of -1 in re 5.009 * [backup-simplify]: Simplify -1 into -1 5.009 * [taylor]: Taking taylor expansion of im in re 5.009 * [backup-simplify]: Simplify im into im 5.009 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.010 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.010 * [taylor]: Taking taylor expansion of -1 in re 5.010 * [backup-simplify]: Simplify -1 into -1 5.010 * [taylor]: Taking taylor expansion of im in re 5.010 * [backup-simplify]: Simplify im into im 5.010 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.010 * [backup-simplify]: Simplify (* -1 -1) into 1 5.010 * [backup-simplify]: Simplify (+ 1 0) into 1 5.011 * [backup-simplify]: Simplify (sqrt 1) into 1 5.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.014 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.014 * [backup-simplify]: Simplify (+ 0 0) into 0 5.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.015 * [backup-simplify]: Simplify (sqrt 0) into 0 5.019 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.019 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 5.019 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.020 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.020 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.020 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.020 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.020 * [taylor]: Taking taylor expansion of -1 in re 5.020 * [backup-simplify]: Simplify -1 into -1 5.020 * [taylor]: Taking taylor expansion of re in re 5.020 * [backup-simplify]: Simplify 0 into 0 5.020 * [backup-simplify]: Simplify 1 into 1 5.020 * [backup-simplify]: Simplify (/ -1 1) into -1 5.020 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.020 * [taylor]: Taking taylor expansion of -1 in re 5.020 * [backup-simplify]: Simplify -1 into -1 5.020 * [taylor]: Taking taylor expansion of re in re 5.020 * [backup-simplify]: Simplify 0 into 0 5.020 * [backup-simplify]: Simplify 1 into 1 5.021 * [backup-simplify]: Simplify (/ -1 1) into -1 5.021 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.021 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.021 * [taylor]: Taking taylor expansion of -1 in re 5.021 * [backup-simplify]: Simplify -1 into -1 5.021 * [taylor]: Taking taylor expansion of im in re 5.021 * [backup-simplify]: Simplify im into im 5.021 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.021 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.021 * [taylor]: Taking taylor expansion of -1 in re 5.021 * [backup-simplify]: Simplify -1 into -1 5.021 * [taylor]: Taking taylor expansion of im in re 5.021 * [backup-simplify]: Simplify im into im 5.021 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.022 * [backup-simplify]: Simplify (* -1 -1) into 1 5.022 * [backup-simplify]: Simplify (+ 1 0) into 1 5.023 * [backup-simplify]: Simplify (sqrt 1) into 1 5.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.025 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.025 * [backup-simplify]: Simplify (+ 0 0) into 0 5.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.026 * [backup-simplify]: Simplify (sqrt 0) into 0 5.028 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.028 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.028 * [taylor]: Taking taylor expansion of -1 in re 5.028 * [backup-simplify]: Simplify -1 into -1 5.028 * [taylor]: Taking taylor expansion of re in re 5.028 * [backup-simplify]: Simplify 0 into 0 5.028 * [backup-simplify]: Simplify 1 into 1 5.029 * [backup-simplify]: Simplify (/ -1 1) into -1 5.029 * [backup-simplify]: Simplify (* 0 0) into 0 5.029 * [backup-simplify]: Simplify (+ 0 0) into 0 5.030 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 5.030 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.031 * [backup-simplify]: Simplify (sqrt 0) into 0 5.032 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.032 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)))) in re 5.032 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.032 * [taylor]: Taking taylor expansion of 2.0 in re 5.032 * [backup-simplify]: Simplify 2.0 into 2.0 5.033 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.033 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in re 5.033 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 5.034 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 5.034 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 5.034 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 5.034 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.034 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.034 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.034 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.034 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.034 * [taylor]: Taking taylor expansion of -1 in re 5.034 * [backup-simplify]: Simplify -1 into -1 5.034 * [taylor]: Taking taylor expansion of re in re 5.034 * [backup-simplify]: Simplify 0 into 0 5.034 * [backup-simplify]: Simplify 1 into 1 5.035 * [backup-simplify]: Simplify (/ -1 1) into -1 5.035 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.035 * [taylor]: Taking taylor expansion of -1 in re 5.035 * [backup-simplify]: Simplify -1 into -1 5.035 * [taylor]: Taking taylor expansion of re in re 5.035 * [backup-simplify]: Simplify 0 into 0 5.035 * [backup-simplify]: Simplify 1 into 1 5.035 * [backup-simplify]: Simplify (/ -1 1) into -1 5.035 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.035 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.035 * [taylor]: Taking taylor expansion of -1 in re 5.035 * [backup-simplify]: Simplify -1 into -1 5.035 * [taylor]: Taking taylor expansion of im in re 5.035 * [backup-simplify]: Simplify im into im 5.035 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.035 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.035 * [taylor]: Taking taylor expansion of -1 in re 5.035 * [backup-simplify]: Simplify -1 into -1 5.035 * [taylor]: Taking taylor expansion of im in re 5.036 * [backup-simplify]: Simplify im into im 5.036 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.036 * [backup-simplify]: Simplify (* -1 -1) into 1 5.036 * [backup-simplify]: Simplify (+ 1 0) into 1 5.037 * [backup-simplify]: Simplify (sqrt 1) into 1 5.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.039 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.040 * [backup-simplify]: Simplify (+ 0 0) into 0 5.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.041 * [backup-simplify]: Simplify (sqrt 0) into 0 5.042 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.042 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 5.042 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.042 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.042 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.042 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.042 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.042 * [taylor]: Taking taylor expansion of -1 in re 5.042 * [backup-simplify]: Simplify -1 into -1 5.042 * [taylor]: Taking taylor expansion of re in re 5.042 * [backup-simplify]: Simplify 0 into 0 5.042 * [backup-simplify]: Simplify 1 into 1 5.043 * [backup-simplify]: Simplify (/ -1 1) into -1 5.043 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.043 * [taylor]: Taking taylor expansion of -1 in re 5.043 * [backup-simplify]: Simplify -1 into -1 5.043 * [taylor]: Taking taylor expansion of re in re 5.043 * [backup-simplify]: Simplify 0 into 0 5.043 * [backup-simplify]: Simplify 1 into 1 5.044 * [backup-simplify]: Simplify (/ -1 1) into -1 5.044 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.044 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.044 * [taylor]: Taking taylor expansion of -1 in re 5.044 * [backup-simplify]: Simplify -1 into -1 5.044 * [taylor]: Taking taylor expansion of im in re 5.044 * [backup-simplify]: Simplify im into im 5.044 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.044 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.044 * [taylor]: Taking taylor expansion of -1 in re 5.044 * [backup-simplify]: Simplify -1 into -1 5.044 * [taylor]: Taking taylor expansion of im in re 5.044 * [backup-simplify]: Simplify im into im 5.044 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.044 * [backup-simplify]: Simplify (* -1 -1) into 1 5.045 * [backup-simplify]: Simplify (+ 1 0) into 1 5.045 * [backup-simplify]: Simplify (sqrt 1) into 1 5.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.048 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.048 * [backup-simplify]: Simplify (+ 0 0) into 0 5.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.049 * [backup-simplify]: Simplify (sqrt 0) into 0 5.050 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.050 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.050 * [taylor]: Taking taylor expansion of -1 in re 5.050 * [backup-simplify]: Simplify -1 into -1 5.050 * [taylor]: Taking taylor expansion of re in re 5.050 * [backup-simplify]: Simplify 0 into 0 5.050 * [backup-simplify]: Simplify 1 into 1 5.051 * [backup-simplify]: Simplify (/ -1 1) into -1 5.051 * [backup-simplify]: Simplify (* 0 0) into 0 5.052 * [backup-simplify]: Simplify (+ 0 0) into 0 5.052 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 5.053 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.053 * [backup-simplify]: Simplify (sqrt 0) into 0 5.055 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.055 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 5.055 * [taylor]: Taking taylor expansion of 0 in im 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify 0 into 0 5.057 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 5.057 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 5.057 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.057 * [taylor]: Taking taylor expansion of +nan.0 in im 5.058 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.058 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.058 * [taylor]: Taking taylor expansion of 2.0 in im 5.058 * [backup-simplify]: Simplify 2.0 into 2.0 5.058 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.060 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.061 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.063 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.063 * [backup-simplify]: Simplify 0 into 0 5.067 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.070 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.072 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 5.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.073 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 5.075 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.076 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.077 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 5.077 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 5.077 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.077 * [taylor]: Taking taylor expansion of +nan.0 in im 5.077 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.077 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.077 * [taylor]: Taking taylor expansion of 2.0 in im 5.077 * [backup-simplify]: Simplify 2.0 into 2.0 5.078 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.079 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.079 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.080 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.081 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 5.081 * [backup-simplify]: Simplify (- 0) into 0 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify 0 into 0 5.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.083 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.083 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 5.083 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.084 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.085 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 5.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.087 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.087 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 5.087 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.088 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.089 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 5.090 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0) 5.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.091 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 5.094 * [backup-simplify]: Simplify (/ (- (- +nan.0) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.095 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.097 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (sqrt 2.0))) 5.097 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 5.097 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.097 * [taylor]: Taking taylor expansion of +nan.0 in im 5.097 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.097 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.097 * [taylor]: Taking taylor expansion of 2.0 in im 5.097 * [backup-simplify]: Simplify 2.0 into 2.0 5.097 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.098 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.099 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.100 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.103 * [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) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 5.103 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 1) 5.104 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 5.104 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 5.104 * [taylor]: Taking taylor expansion of (hypot re im) in im 5.104 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.104 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 5.104 * [taylor]: Taking taylor expansion of (* re re) in im 5.104 * [taylor]: Taking taylor expansion of re in im 5.104 * [backup-simplify]: Simplify re into re 5.104 * [taylor]: Taking taylor expansion of re in im 5.104 * [backup-simplify]: Simplify re into re 5.104 * [taylor]: Taking taylor expansion of (* im im) in im 5.104 * [taylor]: Taking taylor expansion of im in im 5.104 * [backup-simplify]: Simplify 0 into 0 5.104 * [backup-simplify]: Simplify 1 into 1 5.104 * [taylor]: Taking taylor expansion of im in im 5.104 * [backup-simplify]: Simplify 0 into 0 5.104 * [backup-simplify]: Simplify 1 into 1 5.104 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.105 * [backup-simplify]: Simplify (* 0 0) into 0 5.105 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.105 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.105 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.106 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.106 * [backup-simplify]: Simplify (+ 0 0) into 0 5.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.106 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.106 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.106 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.107 * [taylor]: Taking taylor expansion of (* re re) in re 5.107 * [taylor]: Taking taylor expansion of re in re 5.107 * [backup-simplify]: Simplify 0 into 0 5.107 * [backup-simplify]: Simplify 1 into 1 5.107 * [taylor]: Taking taylor expansion of re in re 5.107 * [backup-simplify]: Simplify 0 into 0 5.107 * [backup-simplify]: Simplify 1 into 1 5.107 * [taylor]: Taking taylor expansion of (* im im) in re 5.107 * [taylor]: Taking taylor expansion of im in re 5.107 * [backup-simplify]: Simplify im into im 5.107 * [taylor]: Taking taylor expansion of im in re 5.107 * [backup-simplify]: Simplify im into im 5.107 * [backup-simplify]: Simplify (* 0 0) into 0 5.107 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.107 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.108 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.108 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.108 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.109 * [backup-simplify]: Simplify (+ 0 0) into 0 5.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.109 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.109 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.109 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.109 * [taylor]: Taking taylor expansion of (* re re) in re 5.109 * [taylor]: Taking taylor expansion of re in re 5.109 * [backup-simplify]: Simplify 0 into 0 5.109 * [backup-simplify]: Simplify 1 into 1 5.109 * [taylor]: Taking taylor expansion of re in re 5.109 * [backup-simplify]: Simplify 0 into 0 5.109 * [backup-simplify]: Simplify 1 into 1 5.109 * [taylor]: Taking taylor expansion of (* im im) in re 5.109 * [taylor]: Taking taylor expansion of im in re 5.109 * [backup-simplify]: Simplify im into im 5.109 * [taylor]: Taking taylor expansion of im in re 5.109 * [backup-simplify]: Simplify im into im 5.110 * [backup-simplify]: Simplify (* 0 0) into 0 5.110 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.110 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.110 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.111 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.111 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.111 * [backup-simplify]: Simplify (+ 0 0) into 0 5.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.112 * [taylor]: Taking taylor expansion of im in im 5.112 * [backup-simplify]: Simplify 0 into 0 5.112 * [backup-simplify]: Simplify 1 into 1 5.112 * [backup-simplify]: Simplify 0 into 0 5.112 * [taylor]: Taking taylor expansion of 0 in im 5.112 * [backup-simplify]: Simplify 0 into 0 5.112 * [backup-simplify]: Simplify 0 into 0 5.112 * [backup-simplify]: Simplify 1 into 1 5.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.113 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.114 * [backup-simplify]: Simplify (+ 1 0) into 1 5.115 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.115 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.115 * [taylor]: Taking taylor expansion of 1/2 in im 5.115 * [backup-simplify]: Simplify 1/2 into 1/2 5.115 * [taylor]: Taking taylor expansion of im in im 5.115 * [backup-simplify]: Simplify 0 into 0 5.115 * [backup-simplify]: Simplify 1 into 1 5.115 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify 0 into 0 5.117 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.118 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.119 * [backup-simplify]: Simplify (+ 0 0) into 0 5.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.119 * [taylor]: Taking taylor expansion of 0 in im 5.119 * [backup-simplify]: Simplify 0 into 0 5.119 * [backup-simplify]: Simplify 0 into 0 5.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.120 * [backup-simplify]: Simplify 0 into 0 5.120 * [backup-simplify]: Simplify 0 into 0 5.120 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.120 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 5.120 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 5.120 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 5.120 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.121 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 5.121 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 5.121 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.121 * [taylor]: Taking taylor expansion of re in im 5.121 * [backup-simplify]: Simplify re into re 5.121 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.121 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.121 * [taylor]: Taking taylor expansion of re in im 5.121 * [backup-simplify]: Simplify re into re 5.121 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.121 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 5.121 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.121 * [taylor]: Taking taylor expansion of im in im 5.121 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify 1 into 1 5.121 * [backup-simplify]: Simplify (/ 1 1) into 1 5.121 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.121 * [taylor]: Taking taylor expansion of im in im 5.121 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify 1 into 1 5.122 * [backup-simplify]: Simplify (/ 1 1) into 1 5.122 * [backup-simplify]: Simplify (* 1 1) into 1 5.123 * [backup-simplify]: Simplify (+ 0 1) into 1 5.123 * [backup-simplify]: Simplify (sqrt 1) into 1 5.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.126 * [backup-simplify]: Simplify (+ 0 0) into 0 5.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.127 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.127 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.127 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.127 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.127 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.127 * [taylor]: Taking taylor expansion of re in re 5.127 * [backup-simplify]: Simplify 0 into 0 5.127 * [backup-simplify]: Simplify 1 into 1 5.128 * [backup-simplify]: Simplify (/ 1 1) into 1 5.128 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.128 * [taylor]: Taking taylor expansion of re in re 5.128 * [backup-simplify]: Simplify 0 into 0 5.128 * [backup-simplify]: Simplify 1 into 1 5.128 * [backup-simplify]: Simplify (/ 1 1) into 1 5.128 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.128 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.128 * [taylor]: Taking taylor expansion of im in re 5.128 * [backup-simplify]: Simplify im into im 5.128 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.128 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.128 * [taylor]: Taking taylor expansion of im in re 5.128 * [backup-simplify]: Simplify im into im 5.128 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.129 * [backup-simplify]: Simplify (* 1 1) into 1 5.129 * [backup-simplify]: Simplify (+ 1 0) into 1 5.130 * [backup-simplify]: Simplify (sqrt 1) into 1 5.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.132 * [backup-simplify]: Simplify (+ 0 0) into 0 5.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.133 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.133 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.133 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.133 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.133 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.133 * [taylor]: Taking taylor expansion of re in re 5.133 * [backup-simplify]: Simplify 0 into 0 5.133 * [backup-simplify]: Simplify 1 into 1 5.134 * [backup-simplify]: Simplify (/ 1 1) into 1 5.134 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.134 * [taylor]: Taking taylor expansion of re in re 5.134 * [backup-simplify]: Simplify 0 into 0 5.134 * [backup-simplify]: Simplify 1 into 1 5.134 * [backup-simplify]: Simplify (/ 1 1) into 1 5.134 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.134 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.134 * [taylor]: Taking taylor expansion of im in re 5.134 * [backup-simplify]: Simplify im into im 5.135 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.135 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.135 * [taylor]: Taking taylor expansion of im in re 5.135 * [backup-simplify]: Simplify im into im 5.135 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.135 * [backup-simplify]: Simplify (* 1 1) into 1 5.136 * [backup-simplify]: Simplify (+ 1 0) into 1 5.136 * [backup-simplify]: Simplify (sqrt 1) into 1 5.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.139 * [backup-simplify]: Simplify (+ 0 0) into 0 5.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.139 * [taylor]: Taking taylor expansion of 1 in im 5.139 * [backup-simplify]: Simplify 1 into 1 5.139 * [taylor]: Taking taylor expansion of 0 in im 5.139 * [backup-simplify]: Simplify 0 into 0 5.140 * [backup-simplify]: Simplify 1 into 1 5.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.143 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 5.143 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.144 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.144 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.144 * [taylor]: Taking taylor expansion of 1/2 in im 5.144 * [backup-simplify]: Simplify 1/2 into 1/2 5.144 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.144 * [taylor]: Taking taylor expansion of im in im 5.144 * [backup-simplify]: Simplify 0 into 0 5.144 * [backup-simplify]: Simplify 1 into 1 5.145 * [backup-simplify]: Simplify (* 1 1) into 1 5.145 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.150 * [backup-simplify]: Simplify 0 into 0 5.150 * [backup-simplify]: Simplify 0 into 0 5.150 * [backup-simplify]: Simplify 0 into 0 5.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 5.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 5.152 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 5.152 * [backup-simplify]: Simplify (+ 0 0) into 0 5.153 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.153 * [taylor]: Taking taylor expansion of 0 in im 5.153 * [backup-simplify]: Simplify 0 into 0 5.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.154 * [backup-simplify]: Simplify 0 into 0 5.154 * [backup-simplify]: Simplify 0 into 0 5.154 * [backup-simplify]: Simplify 0 into 0 5.154 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.154 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 5.154 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 5.154 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 5.154 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.154 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 5.154 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 5.154 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.154 * [taylor]: Taking taylor expansion of -1 in im 5.155 * [backup-simplify]: Simplify -1 into -1 5.155 * [taylor]: Taking taylor expansion of re in im 5.155 * [backup-simplify]: Simplify re into re 5.155 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 5.155 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.155 * [taylor]: Taking taylor expansion of -1 in im 5.155 * [backup-simplify]: Simplify -1 into -1 5.155 * [taylor]: Taking taylor expansion of re in im 5.155 * [backup-simplify]: Simplify re into re 5.155 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 5.155 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 5.155 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.155 * [taylor]: Taking taylor expansion of -1 in im 5.155 * [backup-simplify]: Simplify -1 into -1 5.155 * [taylor]: Taking taylor expansion of im in im 5.155 * [backup-simplify]: Simplify 0 into 0 5.155 * [backup-simplify]: Simplify 1 into 1 5.155 * [backup-simplify]: Simplify (/ -1 1) into -1 5.155 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.155 * [taylor]: Taking taylor expansion of -1 in im 5.155 * [backup-simplify]: Simplify -1 into -1 5.155 * [taylor]: Taking taylor expansion of im in im 5.155 * [backup-simplify]: Simplify 0 into 0 5.155 * [backup-simplify]: Simplify 1 into 1 5.155 * [backup-simplify]: Simplify (/ -1 1) into -1 5.156 * [backup-simplify]: Simplify (* -1 -1) into 1 5.156 * [backup-simplify]: Simplify (+ 0 1) into 1 5.156 * [backup-simplify]: Simplify (sqrt 1) into 1 5.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.158 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.158 * [backup-simplify]: Simplify (+ 0 0) into 0 5.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.158 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.158 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.158 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.159 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.159 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.159 * [taylor]: Taking taylor expansion of -1 in re 5.159 * [backup-simplify]: Simplify -1 into -1 5.159 * [taylor]: Taking taylor expansion of re in re 5.159 * [backup-simplify]: Simplify 0 into 0 5.159 * [backup-simplify]: Simplify 1 into 1 5.159 * [backup-simplify]: Simplify (/ -1 1) into -1 5.159 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.159 * [taylor]: Taking taylor expansion of -1 in re 5.159 * [backup-simplify]: Simplify -1 into -1 5.159 * [taylor]: Taking taylor expansion of re in re 5.159 * [backup-simplify]: Simplify 0 into 0 5.159 * [backup-simplify]: Simplify 1 into 1 5.159 * [backup-simplify]: Simplify (/ -1 1) into -1 5.159 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.159 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.159 * [taylor]: Taking taylor expansion of -1 in re 5.159 * [backup-simplify]: Simplify -1 into -1 5.159 * [taylor]: Taking taylor expansion of im in re 5.159 * [backup-simplify]: Simplify im into im 5.159 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.159 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.159 * [taylor]: Taking taylor expansion of -1 in re 5.159 * [backup-simplify]: Simplify -1 into -1 5.159 * [taylor]: Taking taylor expansion of im in re 5.159 * [backup-simplify]: Simplify im into im 5.160 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.160 * [backup-simplify]: Simplify (* -1 -1) into 1 5.160 * [backup-simplify]: Simplify (+ 1 0) into 1 5.160 * [backup-simplify]: Simplify (sqrt 1) into 1 5.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.162 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.162 * [backup-simplify]: Simplify (+ 0 0) into 0 5.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.162 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.163 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.163 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.163 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.163 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.163 * [taylor]: Taking taylor expansion of -1 in re 5.163 * [backup-simplify]: Simplify -1 into -1 5.163 * [taylor]: Taking taylor expansion of re in re 5.163 * [backup-simplify]: Simplify 0 into 0 5.163 * [backup-simplify]: Simplify 1 into 1 5.163 * [backup-simplify]: Simplify (/ -1 1) into -1 5.163 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.163 * [taylor]: Taking taylor expansion of -1 in re 5.163 * [backup-simplify]: Simplify -1 into -1 5.163 * [taylor]: Taking taylor expansion of re in re 5.163 * [backup-simplify]: Simplify 0 into 0 5.163 * [backup-simplify]: Simplify 1 into 1 5.163 * [backup-simplify]: Simplify (/ -1 1) into -1 5.163 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.163 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.163 * [taylor]: Taking taylor expansion of -1 in re 5.163 * [backup-simplify]: Simplify -1 into -1 5.163 * [taylor]: Taking taylor expansion of im in re 5.163 * [backup-simplify]: Simplify im into im 5.163 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.163 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.163 * [taylor]: Taking taylor expansion of -1 in re 5.163 * [backup-simplify]: Simplify -1 into -1 5.164 * [taylor]: Taking taylor expansion of im in re 5.164 * [backup-simplify]: Simplify im into im 5.164 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.164 * [backup-simplify]: Simplify (* -1 -1) into 1 5.164 * [backup-simplify]: Simplify (+ 1 0) into 1 5.164 * [backup-simplify]: Simplify (sqrt 1) into 1 5.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.166 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.166 * [backup-simplify]: Simplify (+ 0 0) into 0 5.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.166 * [taylor]: Taking taylor expansion of 1 in im 5.167 * [backup-simplify]: Simplify 1 into 1 5.167 * [taylor]: Taking taylor expansion of 0 in im 5.167 * [backup-simplify]: Simplify 0 into 0 5.167 * [backup-simplify]: Simplify 1 into 1 5.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.168 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.168 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 5.169 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.169 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.169 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.169 * [taylor]: Taking taylor expansion of 1/2 in im 5.169 * [backup-simplify]: Simplify 1/2 into 1/2 5.169 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.170 * [taylor]: Taking taylor expansion of im in im 5.170 * [backup-simplify]: Simplify 0 into 0 5.170 * [backup-simplify]: Simplify 1 into 1 5.170 * [backup-simplify]: Simplify (* 1 1) into 1 5.170 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.171 * [backup-simplify]: Simplify 0 into 0 5.171 * [backup-simplify]: Simplify 0 into 0 5.171 * [backup-simplify]: Simplify 0 into 0 5.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.173 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 5.173 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 5.173 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 5.173 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 5.174 * [backup-simplify]: Simplify (+ 0 0) into 0 5.174 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.175 * [taylor]: Taking taylor expansion of 0 in im 5.175 * [backup-simplify]: Simplify 0 into 0 5.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.176 * [backup-simplify]: Simplify 0 into 0 5.176 * [backup-simplify]: Simplify 0 into 0 5.176 * [backup-simplify]: Simplify 0 into 0 5.176 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.176 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1) 5.176 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 5.176 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 5.176 * [taylor]: Taking taylor expansion of (hypot re im) in im 5.176 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.176 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 5.176 * [taylor]: Taking taylor expansion of (* re re) in im 5.176 * [taylor]: Taking taylor expansion of re in im 5.176 * [backup-simplify]: Simplify re into re 5.176 * [taylor]: Taking taylor expansion of re in im 5.176 * [backup-simplify]: Simplify re into re 5.176 * [taylor]: Taking taylor expansion of (* im im) in im 5.176 * [taylor]: Taking taylor expansion of im in im 5.176 * [backup-simplify]: Simplify 0 into 0 5.176 * [backup-simplify]: Simplify 1 into 1 5.176 * [taylor]: Taking taylor expansion of im in im 5.176 * [backup-simplify]: Simplify 0 into 0 5.176 * [backup-simplify]: Simplify 1 into 1 5.176 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.177 * [backup-simplify]: Simplify (* 0 0) into 0 5.177 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.177 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.177 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.178 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.178 * [backup-simplify]: Simplify (+ 0 0) into 0 5.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.178 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.178 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.178 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.178 * [taylor]: Taking taylor expansion of (* re re) in re 5.178 * [taylor]: Taking taylor expansion of re in re 5.178 * [backup-simplify]: Simplify 0 into 0 5.178 * [backup-simplify]: Simplify 1 into 1 5.178 * [taylor]: Taking taylor expansion of re in re 5.178 * [backup-simplify]: Simplify 0 into 0 5.178 * [backup-simplify]: Simplify 1 into 1 5.178 * [taylor]: Taking taylor expansion of (* im im) in re 5.178 * [taylor]: Taking taylor expansion of im in re 5.178 * [backup-simplify]: Simplify im into im 5.178 * [taylor]: Taking taylor expansion of im in re 5.178 * [backup-simplify]: Simplify im into im 5.178 * [backup-simplify]: Simplify (* 0 0) into 0 5.179 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.179 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.179 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.180 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.180 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.180 * [backup-simplify]: Simplify (+ 0 0) into 0 5.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.180 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.180 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.180 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.180 * [taylor]: Taking taylor expansion of (* re re) in re 5.180 * [taylor]: Taking taylor expansion of re in re 5.181 * [backup-simplify]: Simplify 0 into 0 5.181 * [backup-simplify]: Simplify 1 into 1 5.181 * [taylor]: Taking taylor expansion of re in re 5.181 * [backup-simplify]: Simplify 0 into 0 5.181 * [backup-simplify]: Simplify 1 into 1 5.181 * [taylor]: Taking taylor expansion of (* im im) in re 5.181 * [taylor]: Taking taylor expansion of im in re 5.181 * [backup-simplify]: Simplify im into im 5.181 * [taylor]: Taking taylor expansion of im in re 5.181 * [backup-simplify]: Simplify im into im 5.181 * [backup-simplify]: Simplify (* 0 0) into 0 5.181 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.181 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.182 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.182 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.182 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.183 * [backup-simplify]: Simplify (+ 0 0) into 0 5.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.183 * [taylor]: Taking taylor expansion of im in im 5.183 * [backup-simplify]: Simplify 0 into 0 5.183 * [backup-simplify]: Simplify 1 into 1 5.183 * [backup-simplify]: Simplify 0 into 0 5.183 * [taylor]: Taking taylor expansion of 0 in im 5.183 * [backup-simplify]: Simplify 0 into 0 5.183 * [backup-simplify]: Simplify 0 into 0 5.183 * [backup-simplify]: Simplify 1 into 1 5.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.184 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.185 * [backup-simplify]: Simplify (+ 1 0) into 1 5.186 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.186 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.186 * [taylor]: Taking taylor expansion of 1/2 in im 5.186 * [backup-simplify]: Simplify 1/2 into 1/2 5.186 * [taylor]: Taking taylor expansion of im in im 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify 1 into 1 5.186 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.187 * [backup-simplify]: Simplify 0 into 0 5.187 * [backup-simplify]: Simplify 0 into 0 5.187 * [backup-simplify]: Simplify 0 into 0 5.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.189 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.190 * [backup-simplify]: Simplify (+ 0 0) into 0 5.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.190 * [taylor]: Taking taylor expansion of 0 in im 5.190 * [backup-simplify]: Simplify 0 into 0 5.190 * [backup-simplify]: Simplify 0 into 0 5.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.191 * [backup-simplify]: Simplify 0 into 0 5.191 * [backup-simplify]: Simplify 0 into 0 5.191 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.191 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 5.191 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 5.191 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 5.191 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.191 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 5.191 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 5.191 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.192 * [taylor]: Taking taylor expansion of re in im 5.192 * [backup-simplify]: Simplify re into re 5.192 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.192 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.192 * [taylor]: Taking taylor expansion of re in im 5.192 * [backup-simplify]: Simplify re into re 5.192 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.192 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 5.192 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.192 * [taylor]: Taking taylor expansion of im in im 5.192 * [backup-simplify]: Simplify 0 into 0 5.192 * [backup-simplify]: Simplify 1 into 1 5.192 * [backup-simplify]: Simplify (/ 1 1) into 1 5.192 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.192 * [taylor]: Taking taylor expansion of im in im 5.192 * [backup-simplify]: Simplify 0 into 0 5.192 * [backup-simplify]: Simplify 1 into 1 5.193 * [backup-simplify]: Simplify (/ 1 1) into 1 5.193 * [backup-simplify]: Simplify (* 1 1) into 1 5.194 * [backup-simplify]: Simplify (+ 0 1) into 1 5.194 * [backup-simplify]: Simplify (sqrt 1) into 1 5.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.197 * [backup-simplify]: Simplify (+ 0 0) into 0 5.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.197 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.198 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.198 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.198 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.198 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.198 * [taylor]: Taking taylor expansion of re in re 5.198 * [backup-simplify]: Simplify 0 into 0 5.198 * [backup-simplify]: Simplify 1 into 1 5.198 * [backup-simplify]: Simplify (/ 1 1) into 1 5.198 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.198 * [taylor]: Taking taylor expansion of re in re 5.198 * [backup-simplify]: Simplify 0 into 0 5.198 * [backup-simplify]: Simplify 1 into 1 5.199 * [backup-simplify]: Simplify (/ 1 1) into 1 5.199 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.199 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.199 * [taylor]: Taking taylor expansion of im in re 5.199 * [backup-simplify]: Simplify im into im 5.199 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.199 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.199 * [taylor]: Taking taylor expansion of im in re 5.199 * [backup-simplify]: Simplify im into im 5.199 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.199 * [backup-simplify]: Simplify (* 1 1) into 1 5.200 * [backup-simplify]: Simplify (+ 1 0) into 1 5.200 * [backup-simplify]: Simplify (sqrt 1) into 1 5.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.203 * [backup-simplify]: Simplify (+ 0 0) into 0 5.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.203 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.204 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.204 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.204 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.204 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.204 * [taylor]: Taking taylor expansion of re in re 5.204 * [backup-simplify]: Simplify 0 into 0 5.204 * [backup-simplify]: Simplify 1 into 1 5.204 * [backup-simplify]: Simplify (/ 1 1) into 1 5.204 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.204 * [taylor]: Taking taylor expansion of re in re 5.204 * [backup-simplify]: Simplify 0 into 0 5.204 * [backup-simplify]: Simplify 1 into 1 5.205 * [backup-simplify]: Simplify (/ 1 1) into 1 5.205 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.205 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.205 * [taylor]: Taking taylor expansion of im in re 5.205 * [backup-simplify]: Simplify im into im 5.205 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.205 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.205 * [taylor]: Taking taylor expansion of im in re 5.205 * [backup-simplify]: Simplify im into im 5.205 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.205 * [backup-simplify]: Simplify (* 1 1) into 1 5.206 * [backup-simplify]: Simplify (+ 1 0) into 1 5.206 * [backup-simplify]: Simplify (sqrt 1) into 1 5.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.208 * [backup-simplify]: Simplify (+ 0 0) into 0 5.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.208 * [taylor]: Taking taylor expansion of 1 in im 5.208 * [backup-simplify]: Simplify 1 into 1 5.208 * [taylor]: Taking taylor expansion of 0 in im 5.208 * [backup-simplify]: Simplify 0 into 0 5.208 * [backup-simplify]: Simplify 1 into 1 5.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.210 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 5.210 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.211 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.211 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.211 * [taylor]: Taking taylor expansion of 1/2 in im 5.211 * [backup-simplify]: Simplify 1/2 into 1/2 5.211 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.211 * [taylor]: Taking taylor expansion of im in im 5.211 * [backup-simplify]: Simplify 0 into 0 5.211 * [backup-simplify]: Simplify 1 into 1 5.212 * [backup-simplify]: Simplify (* 1 1) into 1 5.212 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.213 * [backup-simplify]: Simplify 0 into 0 5.213 * [backup-simplify]: Simplify 0 into 0 5.213 * [backup-simplify]: Simplify 0 into 0 5.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 5.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 5.215 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 5.215 * [backup-simplify]: Simplify (+ 0 0) into 0 5.216 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.216 * [taylor]: Taking taylor expansion of 0 in im 5.216 * [backup-simplify]: Simplify 0 into 0 5.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.217 * [backup-simplify]: Simplify 0 into 0 5.217 * [backup-simplify]: Simplify 0 into 0 5.217 * [backup-simplify]: Simplify 0 into 0 5.217 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.217 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 5.217 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 5.217 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 5.217 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.217 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 5.217 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 5.217 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.217 * [taylor]: Taking taylor expansion of -1 in im 5.217 * [backup-simplify]: Simplify -1 into -1 5.217 * [taylor]: Taking taylor expansion of re in im 5.217 * [backup-simplify]: Simplify re into re 5.217 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 5.217 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.217 * [taylor]: Taking taylor expansion of -1 in im 5.217 * [backup-simplify]: Simplify -1 into -1 5.217 * [taylor]: Taking taylor expansion of re in im 5.217 * [backup-simplify]: Simplify re into re 5.217 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 5.217 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 5.217 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.217 * [taylor]: Taking taylor expansion of -1 in im 5.217 * [backup-simplify]: Simplify -1 into -1 5.217 * [taylor]: Taking taylor expansion of im in im 5.217 * [backup-simplify]: Simplify 0 into 0 5.217 * [backup-simplify]: Simplify 1 into 1 5.218 * [backup-simplify]: Simplify (/ -1 1) into -1 5.218 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.218 * [taylor]: Taking taylor expansion of -1 in im 5.218 * [backup-simplify]: Simplify -1 into -1 5.218 * [taylor]: Taking taylor expansion of im in im 5.218 * [backup-simplify]: Simplify 0 into 0 5.218 * [backup-simplify]: Simplify 1 into 1 5.218 * [backup-simplify]: Simplify (/ -1 1) into -1 5.218 * [backup-simplify]: Simplify (* -1 -1) into 1 5.219 * [backup-simplify]: Simplify (+ 0 1) into 1 5.219 * [backup-simplify]: Simplify (sqrt 1) into 1 5.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.220 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.221 * [backup-simplify]: Simplify (+ 0 0) into 0 5.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.221 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.221 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.221 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.221 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.221 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.221 * [taylor]: Taking taylor expansion of -1 in re 5.221 * [backup-simplify]: Simplify -1 into -1 5.221 * [taylor]: Taking taylor expansion of re in re 5.221 * [backup-simplify]: Simplify 0 into 0 5.221 * [backup-simplify]: Simplify 1 into 1 5.222 * [backup-simplify]: Simplify (/ -1 1) into -1 5.222 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.222 * [taylor]: Taking taylor expansion of -1 in re 5.222 * [backup-simplify]: Simplify -1 into -1 5.222 * [taylor]: Taking taylor expansion of re in re 5.222 * [backup-simplify]: Simplify 0 into 0 5.222 * [backup-simplify]: Simplify 1 into 1 5.222 * [backup-simplify]: Simplify (/ -1 1) into -1 5.222 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.222 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.222 * [taylor]: Taking taylor expansion of -1 in re 5.222 * [backup-simplify]: Simplify -1 into -1 5.222 * [taylor]: Taking taylor expansion of im in re 5.222 * [backup-simplify]: Simplify im into im 5.222 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.222 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.222 * [taylor]: Taking taylor expansion of -1 in re 5.222 * [backup-simplify]: Simplify -1 into -1 5.222 * [taylor]: Taking taylor expansion of im in re 5.222 * [backup-simplify]: Simplify im into im 5.222 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.223 * [backup-simplify]: Simplify (* -1 -1) into 1 5.223 * [backup-simplify]: Simplify (+ 1 0) into 1 5.223 * [backup-simplify]: Simplify (sqrt 1) into 1 5.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.225 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.225 * [backup-simplify]: Simplify (+ 0 0) into 0 5.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.225 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.226 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.226 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.226 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.226 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.226 * [taylor]: Taking taylor expansion of -1 in re 5.226 * [backup-simplify]: Simplify -1 into -1 5.226 * [taylor]: Taking taylor expansion of re in re 5.226 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify 1 into 1 5.226 * [backup-simplify]: Simplify (/ -1 1) into -1 5.226 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.226 * [taylor]: Taking taylor expansion of -1 in re 5.226 * [backup-simplify]: Simplify -1 into -1 5.226 * [taylor]: Taking taylor expansion of re in re 5.226 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify 1 into 1 5.226 * [backup-simplify]: Simplify (/ -1 1) into -1 5.227 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.227 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.227 * [taylor]: Taking taylor expansion of -1 in re 5.227 * [backup-simplify]: Simplify -1 into -1 5.227 * [taylor]: Taking taylor expansion of im in re 5.227 * [backup-simplify]: Simplify im into im 5.227 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.227 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.227 * [taylor]: Taking taylor expansion of -1 in re 5.227 * [backup-simplify]: Simplify -1 into -1 5.227 * [taylor]: Taking taylor expansion of im in re 5.227 * [backup-simplify]: Simplify im into im 5.227 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.227 * [backup-simplify]: Simplify (* -1 -1) into 1 5.227 * [backup-simplify]: Simplify (+ 1 0) into 1 5.228 * [backup-simplify]: Simplify (sqrt 1) into 1 5.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.229 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.229 * [backup-simplify]: Simplify (+ 0 0) into 0 5.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.230 * [taylor]: Taking taylor expansion of 1 in im 5.230 * [backup-simplify]: Simplify 1 into 1 5.230 * [taylor]: Taking taylor expansion of 0 in im 5.230 * [backup-simplify]: Simplify 0 into 0 5.230 * [backup-simplify]: Simplify 1 into 1 5.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.232 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.232 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 5.232 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.233 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.233 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.233 * [taylor]: Taking taylor expansion of 1/2 in im 5.233 * [backup-simplify]: Simplify 1/2 into 1/2 5.233 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.233 * [taylor]: Taking taylor expansion of im in im 5.233 * [backup-simplify]: Simplify 0 into 0 5.233 * [backup-simplify]: Simplify 1 into 1 5.233 * [backup-simplify]: Simplify (* 1 1) into 1 5.233 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.234 * [backup-simplify]: Simplify 0 into 0 5.234 * [backup-simplify]: Simplify 0 into 0 5.234 * [backup-simplify]: Simplify 0 into 0 5.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.237 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 5.238 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 5.238 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 5.238 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 5.238 * [backup-simplify]: Simplify (+ 0 0) into 0 5.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.239 * [taylor]: Taking taylor expansion of 0 in im 5.239 * [backup-simplify]: Simplify 0 into 0 5.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.241 * [backup-simplify]: Simplify 0 into 0 5.241 * [backup-simplify]: Simplify 0 into 0 5.241 * [backup-simplify]: Simplify 0 into 0 5.242 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.242 * * * [progress]: simplifying candidates 5.243 * [simplify]: Simplifying: (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (expm1 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))) (log1p (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))) (log (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))) (exp (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))) (* (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))) (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0)))) (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))) (* (* (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0)) (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))) (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt 2.0) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))) (sqrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 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 (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) (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))) (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.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) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) im re (* -1 re) im re (* -1 re) 5.244 * * [simplify]: iteration 0: 74 enodes 5.261 * * [simplify]: iteration 1: 149 enodes 5.295 * * [simplify]: iteration 2: 481 enodes 5.688 * * [simplify]: iteration 3: 2477 enodes 6.701 * * [simplify]: iteration complete: 5000 enodes 6.702 * * [simplify]: Extracting #0: cost 35 inf + 0 6.704 * * [simplify]: Extracting #1: cost 355 inf + 5 6.713 * * [simplify]: Extracting #2: cost 833 inf + 239 6.721 * * [simplify]: Extracting #3: cost 343 inf + 2967 6.728 * * [simplify]: Extracting #4: cost 22 inf + 5286 6.733 * * [simplify]: Extracting #5: cost 0 inf + 5483 6.740 * [simplify]: Simplified to: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (hypot re im) (log (+ re (hypot re im))) (exp (+ (hypot re im) re)) (* (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))) (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) 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 im im (pow re 2)) (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 (hypot re im)) (log1p (hypot re im)) (fma im im (pow re 2)) (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) (fma (- (/ (pow im 2) (pow re 2))) +nan.0 (+ +nan.0 re)) (fma (- (/ (pow im 2) (pow re 2))) +nan.0 (+ +nan.0 re)) (* (* (sqrt 2.0) +nan.0) (fma re (- re) (- im re))) (fma (/ (sqrt 2.0) re) (- +nan.0 (/ +nan.0 re)) (* (- +nan.0) (sqrt 2.0))) (fma (/ (sqrt 2.0) re) (- +nan.0 (/ +nan.0 re)) (* (- +nan.0) (sqrt 2.0))) im re (- re) im re (- re) 6.740 * * * [progress]: adding candidates to table 7.116 * * [progress]: iteration 4 / 4 7.116 * * * [progress]: picking best candidate 7.161 * * * * [pick]: Picked # 7.162 * * * [progress]: localizing error 7.196 * * * [progress]: generating rewritten candidates 7.197 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 7.197 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1 1) 7.215 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 2) 7.217 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1 1 2) 7.221 * * * [progress]: generating series expansions 7.221 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 7.222 * [backup-simplify]: Simplify (fma (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)) re) into (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 7.222 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in (re im) around 0 7.222 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in im 7.222 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 7.222 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 7.222 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 7.222 * [taylor]: Taking taylor expansion of (hypot re im) in im 7.222 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.222 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 7.222 * [taylor]: Taking taylor expansion of (* re re) in im 7.222 * [taylor]: Taking taylor expansion of re in im 7.222 * [backup-simplify]: Simplify re into re 7.222 * [taylor]: Taking taylor expansion of re in im 7.222 * [backup-simplify]: Simplify re into re 7.222 * [taylor]: Taking taylor expansion of (* im im) in im 7.222 * [taylor]: Taking taylor expansion of im in im 7.222 * [backup-simplify]: Simplify 0 into 0 7.222 * [backup-simplify]: Simplify 1 into 1 7.222 * [taylor]: Taking taylor expansion of im in im 7.222 * [backup-simplify]: Simplify 0 into 0 7.222 * [backup-simplify]: Simplify 1 into 1 7.223 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.223 * [backup-simplify]: Simplify (* 0 0) into 0 7.223 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.224 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.224 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.224 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.225 * [backup-simplify]: Simplify (+ 0 0) into 0 7.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.225 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 7.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 7.225 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 7.225 * [taylor]: Taking taylor expansion of (hypot re im) in im 7.225 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.225 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 7.225 * [taylor]: Taking taylor expansion of (* re re) in im 7.225 * [taylor]: Taking taylor expansion of re in im 7.225 * [backup-simplify]: Simplify re into re 7.225 * [taylor]: Taking taylor expansion of re in im 7.225 * [backup-simplify]: Simplify re into re 7.225 * [taylor]: Taking taylor expansion of (* im im) in im 7.226 * [taylor]: Taking taylor expansion of im in im 7.226 * [backup-simplify]: Simplify 0 into 0 7.226 * [backup-simplify]: Simplify 1 into 1 7.226 * [taylor]: Taking taylor expansion of im in im 7.226 * [backup-simplify]: Simplify 0 into 0 7.226 * [backup-simplify]: Simplify 1 into 1 7.226 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.226 * [backup-simplify]: Simplify (* 0 0) into 0 7.226 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.226 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.227 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.227 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.228 * [backup-simplify]: Simplify (+ 0 0) into 0 7.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.228 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 7.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 7.228 * [taylor]: Taking taylor expansion of re in im 7.228 * [backup-simplify]: Simplify re into re 7.228 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 7.228 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 7.228 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 7.228 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 7.228 * [taylor]: Taking taylor expansion of (hypot re im) in re 7.228 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.228 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 7.228 * [taylor]: Taking taylor expansion of (* re re) in re 7.228 * [taylor]: Taking taylor expansion of re in re 7.228 * [backup-simplify]: Simplify 0 into 0 7.229 * [backup-simplify]: Simplify 1 into 1 7.229 * [taylor]: Taking taylor expansion of re in re 7.229 * [backup-simplify]: Simplify 0 into 0 7.229 * [backup-simplify]: Simplify 1 into 1 7.229 * [taylor]: Taking taylor expansion of (* im im) in re 7.229 * [taylor]: Taking taylor expansion of im in re 7.229 * [backup-simplify]: Simplify im into im 7.229 * [taylor]: Taking taylor expansion of im in re 7.229 * [backup-simplify]: Simplify im into im 7.229 * [backup-simplify]: Simplify (* 0 0) into 0 7.229 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.229 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.230 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.230 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.230 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.231 * [backup-simplify]: Simplify (+ 0 0) into 0 7.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.231 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 7.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 7.231 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 7.231 * [taylor]: Taking taylor expansion of (hypot re im) in re 7.231 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.231 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 7.231 * [taylor]: Taking taylor expansion of (* re re) in re 7.231 * [taylor]: Taking taylor expansion of re in re 7.231 * [backup-simplify]: Simplify 0 into 0 7.231 * [backup-simplify]: Simplify 1 into 1 7.231 * [taylor]: Taking taylor expansion of re in re 7.231 * [backup-simplify]: Simplify 0 into 0 7.231 * [backup-simplify]: Simplify 1 into 1 7.231 * [taylor]: Taking taylor expansion of (* im im) in re 7.231 * [taylor]: Taking taylor expansion of im in re 7.232 * [backup-simplify]: Simplify im into im 7.232 * [taylor]: Taking taylor expansion of im in re 7.232 * [backup-simplify]: Simplify im into im 7.232 * [backup-simplify]: Simplify (* 0 0) into 0 7.232 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.232 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.232 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.233 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.233 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.233 * [backup-simplify]: Simplify (+ 0 0) into 0 7.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.234 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 7.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 7.234 * [taylor]: Taking taylor expansion of re in re 7.234 * [backup-simplify]: Simplify 0 into 0 7.234 * [backup-simplify]: Simplify 1 into 1 7.234 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 7.234 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 7.234 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 7.234 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 7.234 * [taylor]: Taking taylor expansion of (hypot re im) in re 7.234 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.234 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 7.235 * [taylor]: Taking taylor expansion of (* re re) in re 7.235 * [taylor]: Taking taylor expansion of re in re 7.235 * [backup-simplify]: Simplify 0 into 0 7.235 * [backup-simplify]: Simplify 1 into 1 7.235 * [taylor]: Taking taylor expansion of re in re 7.235 * [backup-simplify]: Simplify 0 into 0 7.235 * [backup-simplify]: Simplify 1 into 1 7.235 * [taylor]: Taking taylor expansion of (* im im) in re 7.235 * [taylor]: Taking taylor expansion of im in re 7.235 * [backup-simplify]: Simplify im into im 7.235 * [taylor]: Taking taylor expansion of im in re 7.235 * [backup-simplify]: Simplify im into im 7.235 * [backup-simplify]: Simplify (* 0 0) into 0 7.235 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.236 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.236 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.236 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.236 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.237 * [backup-simplify]: Simplify (+ 0 0) into 0 7.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.237 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 7.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 7.237 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 7.237 * [taylor]: Taking taylor expansion of (hypot re im) in re 7.237 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.237 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 7.237 * [taylor]: Taking taylor expansion of (* re re) in re 7.237 * [taylor]: Taking taylor expansion of re in re 7.237 * [backup-simplify]: Simplify 0 into 0 7.237 * [backup-simplify]: Simplify 1 into 1 7.237 * [taylor]: Taking taylor expansion of re in re 7.238 * [backup-simplify]: Simplify 0 into 0 7.238 * [backup-simplify]: Simplify 1 into 1 7.238 * [taylor]: Taking taylor expansion of (* im im) in re 7.238 * [taylor]: Taking taylor expansion of im in re 7.238 * [backup-simplify]: Simplify im into im 7.238 * [taylor]: Taking taylor expansion of im in re 7.238 * [backup-simplify]: Simplify im into im 7.238 * [backup-simplify]: Simplify (* 0 0) into 0 7.238 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.238 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.238 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.239 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.239 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.239 * [backup-simplify]: Simplify (+ 0 0) into 0 7.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.239 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 7.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 7.239 * [taylor]: Taking taylor expansion of re in re 7.239 * [backup-simplify]: Simplify 0 into 0 7.239 * [backup-simplify]: Simplify 1 into 1 7.240 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im 7.240 * [backup-simplify]: Simplify (+ im 0) into im 7.240 * [taylor]: Taking taylor expansion of im in im 7.240 * [backup-simplify]: Simplify 0 into 0 7.240 * [backup-simplify]: Simplify 1 into 1 7.240 * [backup-simplify]: Simplify 0 into 0 7.240 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0 7.240 * [backup-simplify]: Simplify (+ 0 1) into 1 7.240 * [taylor]: Taking taylor expansion of 1 in im 7.240 * [backup-simplify]: Simplify 1 into 1 7.240 * [backup-simplify]: Simplify 1 into 1 7.240 * [backup-simplify]: Simplify 1 into 1 7.241 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.241 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.241 * [backup-simplify]: Simplify (+ 1 0) into 1 7.242 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.242 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 7.243 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.243 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.243 * [backup-simplify]: Simplify (+ 1 0) into 1 7.244 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.244 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 7.245 * [backup-simplify]: Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im)) 7.245 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im)) 7.245 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 7.245 * [taylor]: Taking taylor expansion of 1/2 in im 7.245 * [backup-simplify]: Simplify 1/2 into 1/2 7.245 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.245 * [taylor]: Taking taylor expansion of im in im 7.245 * [backup-simplify]: Simplify 0 into 0 7.245 * [backup-simplify]: Simplify 1 into 1 7.245 * [backup-simplify]: Simplify (/ 1 1) into 1 7.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.246 * [backup-simplify]: Simplify 0 into 0 7.246 * [backup-simplify]: Simplify 0 into 0 7.246 * [backup-simplify]: Simplify 0 into 0 7.247 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.247 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.248 * [backup-simplify]: Simplify (+ 0 0) into 0 7.248 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.248 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0 7.249 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.249 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.249 * [backup-simplify]: Simplify (+ 0 0) into 0 7.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.250 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0 7.250 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0 7.250 * [backup-simplify]: Simplify (+ 0 0) into 0 7.250 * [taylor]: Taking taylor expansion of 0 in im 7.250 * [backup-simplify]: Simplify 0 into 0 7.250 * [backup-simplify]: Simplify 0 into 0 7.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.251 * [backup-simplify]: Simplify 0 into 0 7.251 * [backup-simplify]: Simplify 0 into 0 7.252 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 7.252 * [backup-simplify]: Simplify (fma (sqrt (* (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))) (cbrt (hypot (/ 1 re) (/ 1 im))))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) 7.252 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in (re im) around 0 7.252 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in im 7.252 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 7.252 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 7.252 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 7.252 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 7.252 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.252 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 7.252 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 7.252 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.252 * [taylor]: Taking taylor expansion of re in im 7.252 * [backup-simplify]: Simplify re into re 7.252 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.252 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.252 * [taylor]: Taking taylor expansion of re in im 7.252 * [backup-simplify]: Simplify re into re 7.252 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.252 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 7.252 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.252 * [taylor]: Taking taylor expansion of im in im 7.252 * [backup-simplify]: Simplify 0 into 0 7.252 * [backup-simplify]: Simplify 1 into 1 7.253 * [backup-simplify]: Simplify (/ 1 1) into 1 7.253 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.253 * [taylor]: Taking taylor expansion of im in im 7.253 * [backup-simplify]: Simplify 0 into 0 7.253 * [backup-simplify]: Simplify 1 into 1 7.253 * [backup-simplify]: Simplify (/ 1 1) into 1 7.253 * [backup-simplify]: Simplify (* 1 1) into 1 7.254 * [backup-simplify]: Simplify (+ 0 1) into 1 7.254 * [backup-simplify]: Simplify (sqrt 1) into 1 7.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.255 * [backup-simplify]: Simplify (+ 0 0) into 0 7.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.256 * [backup-simplify]: Simplify (sqrt 0) into 0 7.257 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.257 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 7.257 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 7.257 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.257 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 7.257 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 7.257 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.257 * [taylor]: Taking taylor expansion of re in im 7.257 * [backup-simplify]: Simplify re into re 7.257 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.257 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.257 * [taylor]: Taking taylor expansion of re in im 7.257 * [backup-simplify]: Simplify re into re 7.257 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.257 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 7.258 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.258 * [taylor]: Taking taylor expansion of im in im 7.258 * [backup-simplify]: Simplify 0 into 0 7.258 * [backup-simplify]: Simplify 1 into 1 7.258 * [backup-simplify]: Simplify (/ 1 1) into 1 7.258 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.258 * [taylor]: Taking taylor expansion of im in im 7.258 * [backup-simplify]: Simplify 0 into 0 7.258 * [backup-simplify]: Simplify 1 into 1 7.258 * [backup-simplify]: Simplify (/ 1 1) into 1 7.258 * [backup-simplify]: Simplify (* 1 1) into 1 7.259 * [backup-simplify]: Simplify (+ 0 1) into 1 7.259 * [backup-simplify]: Simplify (sqrt 1) into 1 7.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.260 * [backup-simplify]: Simplify (+ 0 0) into 0 7.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.261 * [backup-simplify]: Simplify (sqrt 0) into 0 7.262 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.262 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.262 * [taylor]: Taking taylor expansion of re in im 7.262 * [backup-simplify]: Simplify re into re 7.262 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.262 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 7.262 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 7.262 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 7.262 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 7.262 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 7.262 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.262 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 7.262 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 7.262 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.262 * [taylor]: Taking taylor expansion of re in re 7.262 * [backup-simplify]: Simplify 0 into 0 7.262 * [backup-simplify]: Simplify 1 into 1 7.263 * [backup-simplify]: Simplify (/ 1 1) into 1 7.263 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.263 * [taylor]: Taking taylor expansion of re in re 7.263 * [backup-simplify]: Simplify 0 into 0 7.263 * [backup-simplify]: Simplify 1 into 1 7.263 * [backup-simplify]: Simplify (/ 1 1) into 1 7.263 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 7.263 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.263 * [taylor]: Taking taylor expansion of im in re 7.263 * [backup-simplify]: Simplify im into im 7.263 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.263 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.263 * [taylor]: Taking taylor expansion of im in re 7.263 * [backup-simplify]: Simplify im into im 7.263 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.263 * [backup-simplify]: Simplify (* 1 1) into 1 7.264 * [backup-simplify]: Simplify (+ 1 0) into 1 7.264 * [backup-simplify]: Simplify (sqrt 1) into 1 7.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.265 * [backup-simplify]: Simplify (+ 0 0) into 0 7.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.266 * [backup-simplify]: Simplify (sqrt 0) into 0 7.267 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.267 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 7.267 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 7.267 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.267 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 7.267 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 7.267 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.267 * [taylor]: Taking taylor expansion of re in re 7.267 * [backup-simplify]: Simplify 0 into 0 7.267 * [backup-simplify]: Simplify 1 into 1 7.268 * [backup-simplify]: Simplify (/ 1 1) into 1 7.268 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.268 * [taylor]: Taking taylor expansion of re in re 7.268 * [backup-simplify]: Simplify 0 into 0 7.268 * [backup-simplify]: Simplify 1 into 1 7.268 * [backup-simplify]: Simplify (/ 1 1) into 1 7.268 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 7.268 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.268 * [taylor]: Taking taylor expansion of im in re 7.268 * [backup-simplify]: Simplify im into im 7.268 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.268 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.268 * [taylor]: Taking taylor expansion of im in re 7.268 * [backup-simplify]: Simplify im into im 7.268 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.269 * [backup-simplify]: Simplify (* 1 1) into 1 7.269 * [backup-simplify]: Simplify (+ 1 0) into 1 7.269 * [backup-simplify]: Simplify (sqrt 1) into 1 7.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.271 * [backup-simplify]: Simplify (+ 0 0) into 0 7.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.271 * [backup-simplify]: Simplify (sqrt 0) into 0 7.272 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.272 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.272 * [taylor]: Taking taylor expansion of re in re 7.272 * [backup-simplify]: Simplify 0 into 0 7.272 * [backup-simplify]: Simplify 1 into 1 7.272 * [backup-simplify]: Simplify (/ 1 1) into 1 7.272 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 7.273 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 7.273 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 7.273 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 7.273 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 7.273 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.273 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 7.273 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 7.273 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.273 * [taylor]: Taking taylor expansion of re in re 7.273 * [backup-simplify]: Simplify 0 into 0 7.273 * [backup-simplify]: Simplify 1 into 1 7.273 * [backup-simplify]: Simplify (/ 1 1) into 1 7.273 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.273 * [taylor]: Taking taylor expansion of re in re 7.273 * [backup-simplify]: Simplify 0 into 0 7.273 * [backup-simplify]: Simplify 1 into 1 7.273 * [backup-simplify]: Simplify (/ 1 1) into 1 7.273 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 7.273 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.273 * [taylor]: Taking taylor expansion of im in re 7.273 * [backup-simplify]: Simplify im into im 7.273 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.273 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.273 * [taylor]: Taking taylor expansion of im in re 7.273 * [backup-simplify]: Simplify im into im 7.274 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.274 * [backup-simplify]: Simplify (* 1 1) into 1 7.274 * [backup-simplify]: Simplify (+ 1 0) into 1 7.274 * [backup-simplify]: Simplify (sqrt 1) into 1 7.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.276 * [backup-simplify]: Simplify (+ 0 0) into 0 7.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.277 * [backup-simplify]: Simplify (sqrt 0) into 0 7.277 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.277 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 7.277 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 7.277 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.277 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 7.278 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 7.278 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.278 * [taylor]: Taking taylor expansion of re in re 7.278 * [backup-simplify]: Simplify 0 into 0 7.278 * [backup-simplify]: Simplify 1 into 1 7.278 * [backup-simplify]: Simplify (/ 1 1) into 1 7.278 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.278 * [taylor]: Taking taylor expansion of re in re 7.278 * [backup-simplify]: Simplify 0 into 0 7.278 * [backup-simplify]: Simplify 1 into 1 7.278 * [backup-simplify]: Simplify (/ 1 1) into 1 7.278 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 7.278 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.278 * [taylor]: Taking taylor expansion of im in re 7.278 * [backup-simplify]: Simplify im into im 7.278 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.278 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.278 * [taylor]: Taking taylor expansion of im in re 7.278 * [backup-simplify]: Simplify im into im 7.278 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.279 * [backup-simplify]: Simplify (* 1 1) into 1 7.279 * [backup-simplify]: Simplify (+ 1 0) into 1 7.279 * [backup-simplify]: Simplify (sqrt 1) into 1 7.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.281 * [backup-simplify]: Simplify (+ 0 0) into 0 7.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.282 * [backup-simplify]: Simplify (sqrt 0) into 0 7.282 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.282 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.282 * [taylor]: Taking taylor expansion of re in re 7.282 * [backup-simplify]: Simplify 0 into 0 7.282 * [backup-simplify]: Simplify 1 into 1 7.283 * [backup-simplify]: Simplify (/ 1 1) into 1 7.283 * [backup-simplify]: Simplify (* 0 0) into 0 7.283 * [backup-simplify]: Simplify (+ 0 0) into 0 7.283 * [taylor]: Taking taylor expansion of 0 in im 7.283 * [backup-simplify]: Simplify 0 into 0 7.284 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 7.284 * [backup-simplify]: Simplify (+ 0 1) into 1 7.284 * [taylor]: Taking taylor expansion of 1 in im 7.284 * [backup-simplify]: Simplify 1 into 1 7.286 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.288 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.289 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 7.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.290 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 7.290 * [taylor]: Taking taylor expansion of (- +nan.0) in im 7.290 * [taylor]: Taking taylor expansion of +nan.0 in im 7.290 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.290 * [backup-simplify]: Simplify 0 into 0 7.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.292 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 7.292 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.293 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.294 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 7.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.296 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 7.296 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.297 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.298 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 7.299 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0) 7.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.300 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 7.300 * [taylor]: Taking taylor expansion of (- +nan.0) in im 7.300 * [taylor]: Taking taylor expansion of +nan.0 in im 7.300 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.300 * [backup-simplify]: Simplify 1 into 1 7.300 * [backup-simplify]: Simplify 0 into 0 7.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 7.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 7.302 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 7.302 * [backup-simplify]: Simplify (+ 0 0) into 0 7.303 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.307 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 7.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 7.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 7.309 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 7.309 * [backup-simplify]: Simplify (+ 0 0) into 0 7.309 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.310 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 7.312 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 7.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.313 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 7.313 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 7.313 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 7.313 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 7.313 * [taylor]: Taking taylor expansion of +nan.0 in im 7.313 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.313 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.313 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.313 * [taylor]: Taking taylor expansion of im in im 7.313 * [backup-simplify]: Simplify 0 into 0 7.313 * [backup-simplify]: Simplify 1 into 1 7.313 * [backup-simplify]: Simplify (* 1 1) into 1 7.313 * [backup-simplify]: Simplify (/ 1 1) into 1 7.313 * [taylor]: Taking taylor expansion of (- +nan.0) in im 7.313 * [taylor]: Taking taylor expansion of +nan.0 in im 7.313 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.314 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 7.314 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 7.314 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.315 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.315 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.315 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.316 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 im)) (/ 1 re)) 2)) (* 1 (* 1 (/ 1 (/ 1 re)))))) into (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))) 7.316 * [backup-simplify]: Simplify (fma (sqrt (* (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) into (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) 7.316 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in (re im) around 0 7.316 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in im 7.317 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 7.317 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 7.317 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 7.317 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 7.317 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.317 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 7.317 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 7.317 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.317 * [taylor]: Taking taylor expansion of -1 in im 7.317 * [backup-simplify]: Simplify -1 into -1 7.317 * [taylor]: Taking taylor expansion of re in im 7.317 * [backup-simplify]: Simplify re into re 7.317 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 7.317 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.317 * [taylor]: Taking taylor expansion of -1 in im 7.317 * [backup-simplify]: Simplify -1 into -1 7.317 * [taylor]: Taking taylor expansion of re in im 7.317 * [backup-simplify]: Simplify re into re 7.317 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 7.317 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 7.317 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.317 * [taylor]: Taking taylor expansion of -1 in im 7.317 * [backup-simplify]: Simplify -1 into -1 7.317 * [taylor]: Taking taylor expansion of im in im 7.317 * [backup-simplify]: Simplify 0 into 0 7.317 * [backup-simplify]: Simplify 1 into 1 7.318 * [backup-simplify]: Simplify (/ -1 1) into -1 7.318 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.318 * [taylor]: Taking taylor expansion of -1 in im 7.318 * [backup-simplify]: Simplify -1 into -1 7.318 * [taylor]: Taking taylor expansion of im in im 7.318 * [backup-simplify]: Simplify 0 into 0 7.318 * [backup-simplify]: Simplify 1 into 1 7.318 * [backup-simplify]: Simplify (/ -1 1) into -1 7.318 * [backup-simplify]: Simplify (* -1 -1) into 1 7.318 * [backup-simplify]: Simplify (+ 0 1) into 1 7.319 * [backup-simplify]: Simplify (sqrt 1) into 1 7.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.320 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.320 * [backup-simplify]: Simplify (+ 0 0) into 0 7.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.321 * [backup-simplify]: Simplify (sqrt 0) into 0 7.322 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.322 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 7.322 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 7.322 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.322 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 7.322 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 7.322 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.322 * [taylor]: Taking taylor expansion of -1 in im 7.322 * [backup-simplify]: Simplify -1 into -1 7.322 * [taylor]: Taking taylor expansion of re in im 7.322 * [backup-simplify]: Simplify re into re 7.322 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 7.322 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.322 * [taylor]: Taking taylor expansion of -1 in im 7.322 * [backup-simplify]: Simplify -1 into -1 7.322 * [taylor]: Taking taylor expansion of re in im 7.322 * [backup-simplify]: Simplify re into re 7.322 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 7.322 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 7.322 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.322 * [taylor]: Taking taylor expansion of -1 in im 7.322 * [backup-simplify]: Simplify -1 into -1 7.322 * [taylor]: Taking taylor expansion of im in im 7.322 * [backup-simplify]: Simplify 0 into 0 7.322 * [backup-simplify]: Simplify 1 into 1 7.323 * [backup-simplify]: Simplify (/ -1 1) into -1 7.323 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.323 * [taylor]: Taking taylor expansion of -1 in im 7.323 * [backup-simplify]: Simplify -1 into -1 7.323 * [taylor]: Taking taylor expansion of im in im 7.323 * [backup-simplify]: Simplify 0 into 0 7.323 * [backup-simplify]: Simplify 1 into 1 7.323 * [backup-simplify]: Simplify (/ -1 1) into -1 7.323 * [backup-simplify]: Simplify (* -1 -1) into 1 7.324 * [backup-simplify]: Simplify (+ 0 1) into 1 7.324 * [backup-simplify]: Simplify (sqrt 1) into 1 7.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.325 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.325 * [backup-simplify]: Simplify (+ 0 0) into 0 7.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.326 * [backup-simplify]: Simplify (sqrt 0) into 0 7.327 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.327 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.327 * [taylor]: Taking taylor expansion of -1 in im 7.327 * [backup-simplify]: Simplify -1 into -1 7.327 * [taylor]: Taking taylor expansion of re in im 7.327 * [backup-simplify]: Simplify re into re 7.327 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 7.327 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 7.327 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 7.327 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 7.327 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 7.327 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 7.327 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.327 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 7.327 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 7.327 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.327 * [taylor]: Taking taylor expansion of -1 in re 7.327 * [backup-simplify]: Simplify -1 into -1 7.327 * [taylor]: Taking taylor expansion of re in re 7.328 * [backup-simplify]: Simplify 0 into 0 7.328 * [backup-simplify]: Simplify 1 into 1 7.328 * [backup-simplify]: Simplify (/ -1 1) into -1 7.328 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.328 * [taylor]: Taking taylor expansion of -1 in re 7.328 * [backup-simplify]: Simplify -1 into -1 7.328 * [taylor]: Taking taylor expansion of re in re 7.328 * [backup-simplify]: Simplify 0 into 0 7.328 * [backup-simplify]: Simplify 1 into 1 7.328 * [backup-simplify]: Simplify (/ -1 1) into -1 7.328 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 7.328 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.328 * [taylor]: Taking taylor expansion of -1 in re 7.328 * [backup-simplify]: Simplify -1 into -1 7.328 * [taylor]: Taking taylor expansion of im in re 7.328 * [backup-simplify]: Simplify im into im 7.328 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.328 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.328 * [taylor]: Taking taylor expansion of -1 in re 7.328 * [backup-simplify]: Simplify -1 into -1 7.328 * [taylor]: Taking taylor expansion of im in re 7.328 * [backup-simplify]: Simplify im into im 7.328 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.329 * [backup-simplify]: Simplify (* -1 -1) into 1 7.329 * [backup-simplify]: Simplify (+ 1 0) into 1 7.329 * [backup-simplify]: Simplify (sqrt 1) into 1 7.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.331 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.331 * [backup-simplify]: Simplify (+ 0 0) into 0 7.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.332 * [backup-simplify]: Simplify (sqrt 0) into 0 7.332 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.332 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 7.333 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 7.333 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.333 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 7.333 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 7.333 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.333 * [taylor]: Taking taylor expansion of -1 in re 7.333 * [backup-simplify]: Simplify -1 into -1 7.333 * [taylor]: Taking taylor expansion of re in re 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify 1 into 1 7.333 * [backup-simplify]: Simplify (/ -1 1) into -1 7.333 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.333 * [taylor]: Taking taylor expansion of -1 in re 7.333 * [backup-simplify]: Simplify -1 into -1 7.333 * [taylor]: Taking taylor expansion of re in re 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify 1 into 1 7.333 * [backup-simplify]: Simplify (/ -1 1) into -1 7.333 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 7.333 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.333 * [taylor]: Taking taylor expansion of -1 in re 7.333 * [backup-simplify]: Simplify -1 into -1 7.333 * [taylor]: Taking taylor expansion of im in re 7.334 * [backup-simplify]: Simplify im into im 7.334 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.334 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.334 * [taylor]: Taking taylor expansion of -1 in re 7.334 * [backup-simplify]: Simplify -1 into -1 7.334 * [taylor]: Taking taylor expansion of im in re 7.334 * [backup-simplify]: Simplify im into im 7.334 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.334 * [backup-simplify]: Simplify (* -1 -1) into 1 7.334 * [backup-simplify]: Simplify (+ 1 0) into 1 7.334 * [backup-simplify]: Simplify (sqrt 1) into 1 7.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.336 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.336 * [backup-simplify]: Simplify (+ 0 0) into 0 7.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.337 * [backup-simplify]: Simplify (sqrt 0) into 0 7.338 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.338 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.338 * [taylor]: Taking taylor expansion of -1 in re 7.338 * [backup-simplify]: Simplify -1 into -1 7.338 * [taylor]: Taking taylor expansion of re in re 7.338 * [backup-simplify]: Simplify 0 into 0 7.338 * [backup-simplify]: Simplify 1 into 1 7.338 * [backup-simplify]: Simplify (/ -1 1) into -1 7.338 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 7.338 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 7.338 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 7.338 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 7.338 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 7.338 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.338 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 7.338 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 7.339 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.339 * [taylor]: Taking taylor expansion of -1 in re 7.339 * [backup-simplify]: Simplify -1 into -1 7.339 * [taylor]: Taking taylor expansion of re in re 7.339 * [backup-simplify]: Simplify 0 into 0 7.339 * [backup-simplify]: Simplify 1 into 1 7.339 * [backup-simplify]: Simplify (/ -1 1) into -1 7.339 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.339 * [taylor]: Taking taylor expansion of -1 in re 7.339 * [backup-simplify]: Simplify -1 into -1 7.339 * [taylor]: Taking taylor expansion of re in re 7.339 * [backup-simplify]: Simplify 0 into 0 7.339 * [backup-simplify]: Simplify 1 into 1 7.339 * [backup-simplify]: Simplify (/ -1 1) into -1 7.339 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 7.339 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.339 * [taylor]: Taking taylor expansion of -1 in re 7.339 * [backup-simplify]: Simplify -1 into -1 7.339 * [taylor]: Taking taylor expansion of im in re 7.339 * [backup-simplify]: Simplify im into im 7.339 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.339 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.339 * [taylor]: Taking taylor expansion of -1 in re 7.339 * [backup-simplify]: Simplify -1 into -1 7.339 * [taylor]: Taking taylor expansion of im in re 7.339 * [backup-simplify]: Simplify im into im 7.339 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.340 * [backup-simplify]: Simplify (* -1 -1) into 1 7.340 * [backup-simplify]: Simplify (+ 1 0) into 1 7.340 * [backup-simplify]: Simplify (sqrt 1) into 1 7.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.342 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.342 * [backup-simplify]: Simplify (+ 0 0) into 0 7.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.343 * [backup-simplify]: Simplify (sqrt 0) into 0 7.343 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.343 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 7.344 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 7.344 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.344 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 7.344 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 7.344 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.344 * [taylor]: Taking taylor expansion of -1 in re 7.344 * [backup-simplify]: Simplify -1 into -1 7.344 * [taylor]: Taking taylor expansion of re in re 7.344 * [backup-simplify]: Simplify 0 into 0 7.344 * [backup-simplify]: Simplify 1 into 1 7.344 * [backup-simplify]: Simplify (/ -1 1) into -1 7.344 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.344 * [taylor]: Taking taylor expansion of -1 in re 7.344 * [backup-simplify]: Simplify -1 into -1 7.344 * [taylor]: Taking taylor expansion of re in re 7.344 * [backup-simplify]: Simplify 0 into 0 7.344 * [backup-simplify]: Simplify 1 into 1 7.344 * [backup-simplify]: Simplify (/ -1 1) into -1 7.344 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 7.344 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.344 * [taylor]: Taking taylor expansion of -1 in re 7.345 * [backup-simplify]: Simplify -1 into -1 7.345 * [taylor]: Taking taylor expansion of im in re 7.345 * [backup-simplify]: Simplify im into im 7.345 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.345 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.345 * [taylor]: Taking taylor expansion of -1 in re 7.345 * [backup-simplify]: Simplify -1 into -1 7.345 * [taylor]: Taking taylor expansion of im in re 7.345 * [backup-simplify]: Simplify im into im 7.345 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.345 * [backup-simplify]: Simplify (* -1 -1) into 1 7.345 * [backup-simplify]: Simplify (+ 1 0) into 1 7.345 * [backup-simplify]: Simplify (sqrt 1) into 1 7.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.347 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.347 * [backup-simplify]: Simplify (+ 0 0) into 0 7.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.348 * [backup-simplify]: Simplify (sqrt 0) into 0 7.349 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.349 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.349 * [taylor]: Taking taylor expansion of -1 in re 7.349 * [backup-simplify]: Simplify -1 into -1 7.349 * [taylor]: Taking taylor expansion of re in re 7.349 * [backup-simplify]: Simplify 0 into 0 7.349 * [backup-simplify]: Simplify 1 into 1 7.349 * [backup-simplify]: Simplify (/ -1 1) into -1 7.349 * [backup-simplify]: Simplify (* 0 0) into 0 7.350 * [backup-simplify]: Simplify (+ 0 0) into 0 7.350 * [taylor]: Taking taylor expansion of 0 in im 7.350 * [backup-simplify]: Simplify 0 into 0 7.350 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 7.350 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.350 * [taylor]: Taking taylor expansion of -1 in im 7.350 * [backup-simplify]: Simplify -1 into -1 7.352 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.354 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.356 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 7.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.357 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 7.357 * [taylor]: Taking taylor expansion of (- +nan.0) in im 7.357 * [taylor]: Taking taylor expansion of +nan.0 in im 7.357 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.357 * [backup-simplify]: Simplify 0 into 0 7.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.358 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 7.359 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 7.359 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.359 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.361 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 7.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.362 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 7.363 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 7.363 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.363 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.365 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 7.366 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0) 7.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.367 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 7.367 * [taylor]: Taking taylor expansion of (- +nan.0) in im 7.367 * [taylor]: Taking taylor expansion of +nan.0 in im 7.367 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.367 * [backup-simplify]: Simplify -1 into -1 7.367 * [backup-simplify]: Simplify 0 into 0 7.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.371 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 7.371 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 7.371 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 7.371 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 7.372 * [backup-simplify]: Simplify (+ 0 0) into 0 7.373 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.374 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 7.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.377 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 7.377 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 7.378 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 7.378 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 7.378 * [backup-simplify]: Simplify (+ 0 0) into 0 7.379 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.380 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 7.383 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 7.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.385 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 7.385 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 7.385 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 7.385 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 7.385 * [taylor]: Taking taylor expansion of +nan.0 in im 7.385 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.385 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.385 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.385 * [taylor]: Taking taylor expansion of im in im 7.385 * [backup-simplify]: Simplify 0 into 0 7.385 * [backup-simplify]: Simplify 1 into 1 7.385 * [backup-simplify]: Simplify (* 1 1) into 1 7.386 * [backup-simplify]: Simplify (/ 1 1) into 1 7.386 * [taylor]: Taking taylor expansion of (- +nan.0) in im 7.386 * [taylor]: Taking taylor expansion of +nan.0 in im 7.386 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.386 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 7.387 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 7.388 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 7.388 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.388 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.389 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.390 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 (- im))) (/ 1 (- re))) 2)) (* -1 (* 1 (/ 1 (/ 1 (- re))))))) into (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))) 7.390 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1 1) 7.390 * [backup-simplify]: Simplify (* (cbrt (hypot re im)) (cbrt (hypot re im))) into (pow (pow (hypot re im) 2) 1/3) 7.390 * [approximate]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in (re im) around 0 7.391 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in im 7.391 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in im 7.391 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in im 7.391 * [taylor]: Taking taylor expansion of 1/3 in im 7.391 * [backup-simplify]: Simplify 1/3 into 1/3 7.391 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in im 7.391 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in im 7.391 * [taylor]: Taking taylor expansion of (hypot re im) in im 7.391 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.391 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 7.391 * [taylor]: Taking taylor expansion of (* re re) in im 7.391 * [taylor]: Taking taylor expansion of re in im 7.391 * [backup-simplify]: Simplify re into re 7.391 * [taylor]: Taking taylor expansion of re in im 7.391 * [backup-simplify]: Simplify re into re 7.391 * [taylor]: Taking taylor expansion of (* im im) in im 7.391 * [taylor]: Taking taylor expansion of im in im 7.391 * [backup-simplify]: Simplify 0 into 0 7.391 * [backup-simplify]: Simplify 1 into 1 7.391 * [taylor]: Taking taylor expansion of im in im 7.391 * [backup-simplify]: Simplify 0 into 0 7.391 * [backup-simplify]: Simplify 1 into 1 7.391 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.392 * [backup-simplify]: Simplify (* 0 0) into 0 7.392 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.392 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.392 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.393 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.393 * [backup-simplify]: Simplify (+ 0 0) into 0 7.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.393 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.393 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 7.394 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 7.394 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 7.394 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in re 7.394 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in re 7.394 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in re 7.394 * [taylor]: Taking taylor expansion of 1/3 in re 7.394 * [backup-simplify]: Simplify 1/3 into 1/3 7.394 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in re 7.394 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in re 7.394 * [taylor]: Taking taylor expansion of (hypot re im) in re 7.394 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.394 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 7.394 * [taylor]: Taking taylor expansion of (* re re) in re 7.394 * [taylor]: Taking taylor expansion of re in re 7.394 * [backup-simplify]: Simplify 0 into 0 7.394 * [backup-simplify]: Simplify 1 into 1 7.394 * [taylor]: Taking taylor expansion of re in re 7.394 * [backup-simplify]: Simplify 0 into 0 7.394 * [backup-simplify]: Simplify 1 into 1 7.394 * [taylor]: Taking taylor expansion of (* im im) in re 7.394 * [taylor]: Taking taylor expansion of im in re 7.394 * [backup-simplify]: Simplify im into im 7.394 * [taylor]: Taking taylor expansion of im in re 7.395 * [backup-simplify]: Simplify im into im 7.395 * [backup-simplify]: Simplify (* 0 0) into 0 7.395 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.395 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.395 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.396 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.396 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.396 * [backup-simplify]: Simplify (+ 0 0) into 0 7.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.397 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.397 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 7.397 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 7.397 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 7.397 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in re 7.397 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in re 7.397 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in re 7.397 * [taylor]: Taking taylor expansion of 1/3 in re 7.397 * [backup-simplify]: Simplify 1/3 into 1/3 7.397 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in re 7.397 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in re 7.397 * [taylor]: Taking taylor expansion of (hypot re im) in re 7.398 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.398 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 7.398 * [taylor]: Taking taylor expansion of (* re re) in re 7.398 * [taylor]: Taking taylor expansion of re in re 7.398 * [backup-simplify]: Simplify 0 into 0 7.398 * [backup-simplify]: Simplify 1 into 1 7.398 * [taylor]: Taking taylor expansion of re in re 7.398 * [backup-simplify]: Simplify 0 into 0 7.398 * [backup-simplify]: Simplify 1 into 1 7.398 * [taylor]: Taking taylor expansion of (* im im) in re 7.398 * [taylor]: Taking taylor expansion of im in re 7.398 * [backup-simplify]: Simplify im into im 7.398 * [taylor]: Taking taylor expansion of im in re 7.398 * [backup-simplify]: Simplify im into im 7.398 * [backup-simplify]: Simplify (* 0 0) into 0 7.398 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.399 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.399 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.399 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.399 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.400 * [backup-simplify]: Simplify (+ 0 0) into 0 7.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.400 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.400 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 7.400 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 7.401 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 7.401 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 7.401 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 7.401 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 7.401 * [taylor]: Taking taylor expansion of 1/3 in im 7.401 * [backup-simplify]: Simplify 1/3 into 1/3 7.401 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 7.401 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.401 * [taylor]: Taking taylor expansion of im in im 7.401 * [backup-simplify]: Simplify 0 into 0 7.401 * [backup-simplify]: Simplify 1 into 1 7.401 * [backup-simplify]: Simplify (* 1 1) into 1 7.402 * [backup-simplify]: Simplify (log 1) into 0 7.402 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 7.402 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 7.402 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 7.403 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 7.403 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.404 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 7.404 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 7.405 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 7.405 * [taylor]: Taking taylor expansion of 0 in im 7.405 * [backup-simplify]: Simplify 0 into 0 7.405 * [backup-simplify]: Simplify 0 into 0 7.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.407 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.408 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 7.408 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 7.409 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 7.409 * [backup-simplify]: Simplify 0 into 0 7.410 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.411 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.411 * [backup-simplify]: Simplify (+ 1 0) into 1 7.412 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.412 * [backup-simplify]: Simplify (+ (* im (/ 1/2 im)) (+ (* 0 0) (* (/ 1/2 im) im))) into 1 7.414 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 7.415 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 7.416 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 7.416 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 7.416 * [taylor]: Taking taylor expansion of 1/3 in im 7.416 * [backup-simplify]: Simplify 1/3 into 1/3 7.416 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 7.416 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 7.417 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 7.417 * [taylor]: Taking taylor expansion of 1/3 in im 7.417 * [backup-simplify]: Simplify 1/3 into 1/3 7.417 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 7.417 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 7.417 * [taylor]: Taking taylor expansion of (pow im 4) in im 7.417 * [taylor]: Taking taylor expansion of im in im 7.417 * [backup-simplify]: Simplify 0 into 0 7.417 * [backup-simplify]: Simplify 1 into 1 7.417 * [backup-simplify]: Simplify (* 1 1) into 1 7.418 * [backup-simplify]: Simplify (* 1 1) into 1 7.418 * [backup-simplify]: Simplify (/ 1 1) into 1 7.419 * [backup-simplify]: Simplify (log 1) into 0 7.419 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 7.419 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 7.419 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 7.420 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 7.420 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 7.420 * [backup-simplify]: Simplify 0 into 0 7.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.426 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.427 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 7.428 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 7.429 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.429 * [backup-simplify]: Simplify 0 into 0 7.431 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.432 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.432 * [backup-simplify]: Simplify (+ 0 0) into 0 7.432 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.432 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 (/ 1/2 im)) (+ (* (/ 1/2 im) 0) (* 0 im)))) into 0 7.436 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 7.437 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 7.439 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.439 * [taylor]: Taking taylor expansion of 0 in im 7.439 * [backup-simplify]: Simplify 0 into 0 7.439 * [backup-simplify]: Simplify 0 into 0 7.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.443 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.444 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 7.444 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 7.445 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 7.446 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 7.446 * [backup-simplify]: Simplify 0 into 0 7.446 * [backup-simplify]: Simplify 0 into 0 7.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.452 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.453 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 7.454 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 7.456 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.456 * [backup-simplify]: Simplify 0 into 0 7.457 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) 7.457 * [backup-simplify]: Simplify (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))) into (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) 7.457 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in (re im) around 0 7.457 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in im 7.457 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in im 7.457 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in im 7.457 * [taylor]: Taking taylor expansion of 1/3 in im 7.457 * [backup-simplify]: Simplify 1/3 into 1/3 7.457 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in im 7.457 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) in im 7.457 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 7.458 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.458 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 7.458 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 7.458 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.458 * [taylor]: Taking taylor expansion of re in im 7.458 * [backup-simplify]: Simplify re into re 7.458 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.458 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.458 * [taylor]: Taking taylor expansion of re in im 7.458 * [backup-simplify]: Simplify re into re 7.458 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.458 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 7.458 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.458 * [taylor]: Taking taylor expansion of im in im 7.458 * [backup-simplify]: Simplify 0 into 0 7.458 * [backup-simplify]: Simplify 1 into 1 7.459 * [backup-simplify]: Simplify (/ 1 1) into 1 7.459 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.459 * [taylor]: Taking taylor expansion of im in im 7.459 * [backup-simplify]: Simplify 0 into 0 7.459 * [backup-simplify]: Simplify 1 into 1 7.459 * [backup-simplify]: Simplify (/ 1 1) into 1 7.460 * [backup-simplify]: Simplify (* 1 1) into 1 7.460 * [backup-simplify]: Simplify (+ 0 1) into 1 7.460 * [backup-simplify]: Simplify (sqrt 1) into 1 7.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.463 * [backup-simplify]: Simplify (+ 0 0) into 0 7.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.464 * [backup-simplify]: Simplify (* 1 1) into 1 7.465 * [backup-simplify]: Simplify (log 1) into 0 7.465 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 7.465 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 7.465 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 7.466 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in re 7.466 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in re 7.466 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in re 7.466 * [taylor]: Taking taylor expansion of 1/3 in re 7.466 * [backup-simplify]: Simplify 1/3 into 1/3 7.466 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in re 7.466 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) in re 7.466 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 7.466 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.466 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 7.466 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 7.466 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.466 * [taylor]: Taking taylor expansion of re in re 7.466 * [backup-simplify]: Simplify 0 into 0 7.466 * [backup-simplify]: Simplify 1 into 1 7.467 * [backup-simplify]: Simplify (/ 1 1) into 1 7.467 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.467 * [taylor]: Taking taylor expansion of re in re 7.467 * [backup-simplify]: Simplify 0 into 0 7.467 * [backup-simplify]: Simplify 1 into 1 7.467 * [backup-simplify]: Simplify (/ 1 1) into 1 7.467 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 7.467 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.467 * [taylor]: Taking taylor expansion of im in re 7.467 * [backup-simplify]: Simplify im into im 7.467 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.467 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.467 * [taylor]: Taking taylor expansion of im in re 7.467 * [backup-simplify]: Simplify im into im 7.467 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.468 * [backup-simplify]: Simplify (* 1 1) into 1 7.469 * [backup-simplify]: Simplify (+ 1 0) into 1 7.469 * [backup-simplify]: Simplify (sqrt 1) into 1 7.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.472 * [backup-simplify]: Simplify (+ 0 0) into 0 7.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.473 * [backup-simplify]: Simplify (* 1 1) into 1 7.474 * [backup-simplify]: Simplify (log 1) into 0 7.474 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 7.474 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 7.474 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 7.474 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in re 7.474 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in re 7.474 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in re 7.475 * [taylor]: Taking taylor expansion of 1/3 in re 7.475 * [backup-simplify]: Simplify 1/3 into 1/3 7.475 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in re 7.475 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) in re 7.475 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 7.475 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.475 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 7.475 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 7.475 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.475 * [taylor]: Taking taylor expansion of re in re 7.475 * [backup-simplify]: Simplify 0 into 0 7.475 * [backup-simplify]: Simplify 1 into 1 7.475 * [backup-simplify]: Simplify (/ 1 1) into 1 7.475 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.475 * [taylor]: Taking taylor expansion of re in re 7.476 * [backup-simplify]: Simplify 0 into 0 7.476 * [backup-simplify]: Simplify 1 into 1 7.476 * [backup-simplify]: Simplify (/ 1 1) into 1 7.476 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 7.476 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.476 * [taylor]: Taking taylor expansion of im in re 7.476 * [backup-simplify]: Simplify im into im 7.476 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.476 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.476 * [taylor]: Taking taylor expansion of im in re 7.476 * [backup-simplify]: Simplify im into im 7.476 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.477 * [backup-simplify]: Simplify (* 1 1) into 1 7.477 * [backup-simplify]: Simplify (+ 1 0) into 1 7.478 * [backup-simplify]: Simplify (sqrt 1) into 1 7.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.480 * [backup-simplify]: Simplify (+ 0 0) into 0 7.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.482 * [backup-simplify]: Simplify (* 1 1) into 1 7.482 * [backup-simplify]: Simplify (log 1) into 0 7.483 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 7.483 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 7.483 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 7.483 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 7.483 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 7.483 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 7.483 * [taylor]: Taking taylor expansion of -2/3 in im 7.483 * [backup-simplify]: Simplify -2/3 into -2/3 7.483 * [taylor]: Taking taylor expansion of (log re) in im 7.483 * [taylor]: Taking taylor expansion of re in im 7.484 * [backup-simplify]: Simplify re into re 7.484 * [backup-simplify]: Simplify (log re) into (log re) 7.484 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 7.484 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 7.484 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 7.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.487 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.487 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 7.488 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 7.489 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 7.489 * [taylor]: Taking taylor expansion of 0 in im 7.489 * [backup-simplify]: Simplify 0 into 0 7.489 * [backup-simplify]: Simplify 0 into 0 7.490 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 7.490 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 7.491 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 7.491 * [backup-simplify]: Simplify 0 into 0 7.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.494 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 7.495 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.496 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.497 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow im 2))) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (/ 1 (pow im 2)) 7.499 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 7.500 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 7.500 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 7.501 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 7.501 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 7.502 * [taylor]: Taking taylor expansion of 1/3 in im 7.502 * [backup-simplify]: Simplify 1/3 into 1/3 7.502 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 7.502 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 7.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 7.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 7.502 * [taylor]: Taking taylor expansion of 1/3 in im 7.502 * [backup-simplify]: Simplify 1/3 into 1/3 7.502 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 7.502 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.502 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.502 * [taylor]: Taking taylor expansion of re in im 7.502 * [backup-simplify]: Simplify re into re 7.502 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.502 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.502 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 7.502 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 7.503 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 7.503 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.503 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.503 * [taylor]: Taking taylor expansion of im in im 7.503 * [backup-simplify]: Simplify 0 into 0 7.503 * [backup-simplify]: Simplify 1 into 1 7.503 * [backup-simplify]: Simplify (* 1 1) into 1 7.504 * [backup-simplify]: Simplify (/ 1 1) into 1 7.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.507 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 7.509 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 7.509 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 7.510 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.511 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 7.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 7.513 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 7.514 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 7.516 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.517 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 7.518 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 7.518 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 7.519 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 7.519 * [backup-simplify]: Simplify 0 into 0 7.519 * [backup-simplify]: Simplify 0 into 0 7.521 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 7.522 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 7.524 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.524 * [backup-simplify]: Simplify 0 into 0 7.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 7.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 7.527 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 7.528 * [backup-simplify]: Simplify (+ 0 0) into 0 7.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0 7.534 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.535 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 7.536 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 7.538 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.538 * [taylor]: Taking taylor expansion of 0 in im 7.538 * [backup-simplify]: Simplify 0 into 0 7.538 * [backup-simplify]: Simplify 0 into 0 7.538 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 7.539 * [backup-simplify]: Simplify (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) 7.539 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in (re im) around 0 7.539 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in im 7.539 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in im 7.539 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in im 7.539 * [taylor]: Taking taylor expansion of 1/3 in im 7.539 * [backup-simplify]: Simplify 1/3 into 1/3 7.539 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in im 7.539 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in im 7.539 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 7.539 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.539 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 7.539 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 7.539 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.539 * [taylor]: Taking taylor expansion of -1 in im 7.539 * [backup-simplify]: Simplify -1 into -1 7.539 * [taylor]: Taking taylor expansion of re in im 7.539 * [backup-simplify]: Simplify re into re 7.540 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 7.540 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.540 * [taylor]: Taking taylor expansion of -1 in im 7.540 * [backup-simplify]: Simplify -1 into -1 7.540 * [taylor]: Taking taylor expansion of re in im 7.540 * [backup-simplify]: Simplify re into re 7.540 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 7.540 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 7.540 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.540 * [taylor]: Taking taylor expansion of -1 in im 7.540 * [backup-simplify]: Simplify -1 into -1 7.540 * [taylor]: Taking taylor expansion of im in im 7.540 * [backup-simplify]: Simplify 0 into 0 7.540 * [backup-simplify]: Simplify 1 into 1 7.540 * [backup-simplify]: Simplify (/ -1 1) into -1 7.541 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.541 * [taylor]: Taking taylor expansion of -1 in im 7.541 * [backup-simplify]: Simplify -1 into -1 7.541 * [taylor]: Taking taylor expansion of im in im 7.541 * [backup-simplify]: Simplify 0 into 0 7.541 * [backup-simplify]: Simplify 1 into 1 7.541 * [backup-simplify]: Simplify (/ -1 1) into -1 7.542 * [backup-simplify]: Simplify (* -1 -1) into 1 7.542 * [backup-simplify]: Simplify (+ 0 1) into 1 7.542 * [backup-simplify]: Simplify (sqrt 1) into 1 7.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.545 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.545 * [backup-simplify]: Simplify (+ 0 0) into 0 7.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.546 * [backup-simplify]: Simplify (* 1 1) into 1 7.547 * [backup-simplify]: Simplify (log 1) into 0 7.547 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 7.548 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 7.548 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 7.548 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in re 7.548 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in re 7.548 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in re 7.548 * [taylor]: Taking taylor expansion of 1/3 in re 7.548 * [backup-simplify]: Simplify 1/3 into 1/3 7.548 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in re 7.548 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in re 7.548 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 7.548 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.548 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 7.548 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 7.548 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.548 * [taylor]: Taking taylor expansion of -1 in re 7.548 * [backup-simplify]: Simplify -1 into -1 7.548 * [taylor]: Taking taylor expansion of re in re 7.548 * [backup-simplify]: Simplify 0 into 0 7.548 * [backup-simplify]: Simplify 1 into 1 7.549 * [backup-simplify]: Simplify (/ -1 1) into -1 7.549 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.549 * [taylor]: Taking taylor expansion of -1 in re 7.549 * [backup-simplify]: Simplify -1 into -1 7.549 * [taylor]: Taking taylor expansion of re in re 7.549 * [backup-simplify]: Simplify 0 into 0 7.549 * [backup-simplify]: Simplify 1 into 1 7.550 * [backup-simplify]: Simplify (/ -1 1) into -1 7.550 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 7.550 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.550 * [taylor]: Taking taylor expansion of -1 in re 7.550 * [backup-simplify]: Simplify -1 into -1 7.550 * [taylor]: Taking taylor expansion of im in re 7.550 * [backup-simplify]: Simplify im into im 7.550 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.550 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.550 * [taylor]: Taking taylor expansion of -1 in re 7.550 * [backup-simplify]: Simplify -1 into -1 7.550 * [taylor]: Taking taylor expansion of im in re 7.550 * [backup-simplify]: Simplify im into im 7.550 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.550 * [backup-simplify]: Simplify (* -1 -1) into 1 7.551 * [backup-simplify]: Simplify (+ 1 0) into 1 7.551 * [backup-simplify]: Simplify (sqrt 1) into 1 7.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.552 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.553 * [backup-simplify]: Simplify (+ 0 0) into 0 7.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.553 * [backup-simplify]: Simplify (* 1 1) into 1 7.554 * [backup-simplify]: Simplify (log 1) into 0 7.554 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 7.554 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 7.554 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 7.554 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in re 7.554 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in re 7.554 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in re 7.554 * [taylor]: Taking taylor expansion of 1/3 in re 7.554 * [backup-simplify]: Simplify 1/3 into 1/3 7.554 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in re 7.554 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in re 7.554 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 7.554 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.554 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 7.554 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 7.554 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.554 * [taylor]: Taking taylor expansion of -1 in re 7.554 * [backup-simplify]: Simplify -1 into -1 7.554 * [taylor]: Taking taylor expansion of re in re 7.554 * [backup-simplify]: Simplify 0 into 0 7.554 * [backup-simplify]: Simplify 1 into 1 7.555 * [backup-simplify]: Simplify (/ -1 1) into -1 7.555 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.555 * [taylor]: Taking taylor expansion of -1 in re 7.555 * [backup-simplify]: Simplify -1 into -1 7.555 * [taylor]: Taking taylor expansion of re in re 7.555 * [backup-simplify]: Simplify 0 into 0 7.555 * [backup-simplify]: Simplify 1 into 1 7.555 * [backup-simplify]: Simplify (/ -1 1) into -1 7.555 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 7.555 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.555 * [taylor]: Taking taylor expansion of -1 in re 7.555 * [backup-simplify]: Simplify -1 into -1 7.555 * [taylor]: Taking taylor expansion of im in re 7.555 * [backup-simplify]: Simplify im into im 7.555 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.555 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.555 * [taylor]: Taking taylor expansion of -1 in re 7.555 * [backup-simplify]: Simplify -1 into -1 7.555 * [taylor]: Taking taylor expansion of im in re 7.555 * [backup-simplify]: Simplify im into im 7.555 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.556 * [backup-simplify]: Simplify (* -1 -1) into 1 7.556 * [backup-simplify]: Simplify (+ 1 0) into 1 7.556 * [backup-simplify]: Simplify (sqrt 1) into 1 7.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.558 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.558 * [backup-simplify]: Simplify (+ 0 0) into 0 7.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.559 * [backup-simplify]: Simplify (* 1 1) into 1 7.559 * [backup-simplify]: Simplify (log 1) into 0 7.559 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 7.559 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 7.559 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 7.559 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 7.559 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 7.559 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 7.559 * [taylor]: Taking taylor expansion of -2/3 in im 7.559 * [backup-simplify]: Simplify -2/3 into -2/3 7.559 * [taylor]: Taking taylor expansion of (log re) in im 7.559 * [taylor]: Taking taylor expansion of re in im 7.559 * [backup-simplify]: Simplify re into re 7.560 * [backup-simplify]: Simplify (log re) into (log re) 7.560 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 7.560 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 7.560 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 7.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.561 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.561 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 7.562 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 7.562 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 7.562 * [taylor]: Taking taylor expansion of 0 in im 7.562 * [backup-simplify]: Simplify 0 into 0 7.562 * [backup-simplify]: Simplify 0 into 0 7.563 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 7.563 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 7.564 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 7.564 * [backup-simplify]: Simplify 0 into 0 7.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.565 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 7.566 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 7.566 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.567 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.567 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow im 2))) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (/ 1 (pow im 2)) 7.568 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 7.569 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 7.569 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 7.570 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 7.570 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 7.570 * [taylor]: Taking taylor expansion of 1/3 in im 7.570 * [backup-simplify]: Simplify 1/3 into 1/3 7.570 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 7.570 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 7.570 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 7.570 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 7.570 * [taylor]: Taking taylor expansion of 1/3 in im 7.570 * [backup-simplify]: Simplify 1/3 into 1/3 7.570 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 7.570 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.570 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.570 * [taylor]: Taking taylor expansion of re in im 7.570 * [backup-simplify]: Simplify re into re 7.570 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.570 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.570 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 7.570 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 7.571 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 7.571 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.571 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.571 * [taylor]: Taking taylor expansion of im in im 7.571 * [backup-simplify]: Simplify 0 into 0 7.571 * [backup-simplify]: Simplify 1 into 1 7.574 * [backup-simplify]: Simplify (* 1 1) into 1 7.574 * [backup-simplify]: Simplify (/ 1 1) into 1 7.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.578 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 7.579 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 7.579 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 7.580 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.581 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 7.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 7.583 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 7.584 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 7.586 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.587 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 7.587 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 7.588 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 7.589 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 7.589 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify 0 into 0 7.591 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 7.592 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 7.594 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.594 * [backup-simplify]: Simplify 0 into 0 7.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.597 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 7.597 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 7.597 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 7.598 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 7.598 * [backup-simplify]: Simplify (+ 0 0) into 0 7.599 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0 7.604 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.604 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 7.606 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 7.608 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.608 * [taylor]: Taking taylor expansion of 0 in im 7.608 * [backup-simplify]: Simplify 0 into 0 7.608 * [backup-simplify]: Simplify 0 into 0 7.608 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 7.609 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1 2) 7.609 * [backup-simplify]: Simplify (cbrt (hypot re im)) into (pow (hypot re im) 1/3) 7.609 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 7.609 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 7.609 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 7.609 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 7.609 * [taylor]: Taking taylor expansion of 1/3 in im 7.609 * [backup-simplify]: Simplify 1/3 into 1/3 7.609 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 7.609 * [taylor]: Taking taylor expansion of (hypot re im) in im 7.609 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.609 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 7.609 * [taylor]: Taking taylor expansion of (* re re) in im 7.609 * [taylor]: Taking taylor expansion of re in im 7.609 * [backup-simplify]: Simplify re into re 7.609 * [taylor]: Taking taylor expansion of re in im 7.609 * [backup-simplify]: Simplify re into re 7.609 * [taylor]: Taking taylor expansion of (* im im) in im 7.609 * [taylor]: Taking taylor expansion of im in im 7.609 * [backup-simplify]: Simplify 0 into 0 7.609 * [backup-simplify]: Simplify 1 into 1 7.609 * [taylor]: Taking taylor expansion of im in im 7.609 * [backup-simplify]: Simplify 0 into 0 7.609 * [backup-simplify]: Simplify 1 into 1 7.609 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.610 * [backup-simplify]: Simplify (* 0 0) into 0 7.610 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.610 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.610 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.611 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.611 * [backup-simplify]: Simplify (+ 0 0) into 0 7.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.612 * [backup-simplify]: Simplify (log re) into (log re) 7.612 * [backup-simplify]: Simplify (* 1/3 (log re)) into (* 1/3 (log re)) 7.612 * [backup-simplify]: Simplify (exp (* 1/3 (log re))) into (pow re 1/3) 7.612 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 7.612 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 7.612 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 7.612 * [taylor]: Taking taylor expansion of 1/3 in re 7.612 * [backup-simplify]: Simplify 1/3 into 1/3 7.612 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 7.612 * [taylor]: Taking taylor expansion of (hypot re im) in re 7.612 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.612 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 7.612 * [taylor]: Taking taylor expansion of (* re re) in re 7.612 * [taylor]: Taking taylor expansion of re in re 7.612 * [backup-simplify]: Simplify 0 into 0 7.612 * [backup-simplify]: Simplify 1 into 1 7.612 * [taylor]: Taking taylor expansion of re in re 7.612 * [backup-simplify]: Simplify 0 into 0 7.612 * [backup-simplify]: Simplify 1 into 1 7.612 * [taylor]: Taking taylor expansion of (* im im) in re 7.612 * [taylor]: Taking taylor expansion of im in re 7.612 * [backup-simplify]: Simplify im into im 7.612 * [taylor]: Taking taylor expansion of im in re 7.613 * [backup-simplify]: Simplify im into im 7.613 * [backup-simplify]: Simplify (* 0 0) into 0 7.613 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.613 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.613 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.614 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.614 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.615 * [backup-simplify]: Simplify (+ 0 0) into 0 7.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.615 * [backup-simplify]: Simplify (log im) into (log im) 7.615 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 7.615 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 7.615 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 7.615 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 7.615 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 7.615 * [taylor]: Taking taylor expansion of 1/3 in re 7.615 * [backup-simplify]: Simplify 1/3 into 1/3 7.615 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 7.615 * [taylor]: Taking taylor expansion of (hypot re im) in re 7.615 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.615 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 7.615 * [taylor]: Taking taylor expansion of (* re re) in re 7.615 * [taylor]: Taking taylor expansion of re in re 7.615 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify 1 into 1 7.616 * [taylor]: Taking taylor expansion of re in re 7.616 * [backup-simplify]: Simplify 0 into 0 7.616 * [backup-simplify]: Simplify 1 into 1 7.616 * [taylor]: Taking taylor expansion of (* im im) in re 7.616 * [taylor]: Taking taylor expansion of im in re 7.616 * [backup-simplify]: Simplify im into im 7.616 * [taylor]: Taking taylor expansion of im in re 7.616 * [backup-simplify]: Simplify im into im 7.616 * [backup-simplify]: Simplify (* 0 0) into 0 7.616 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.616 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.617 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.617 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.617 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.618 * [backup-simplify]: Simplify (+ 0 0) into 0 7.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.618 * [backup-simplify]: Simplify (log im) into (log im) 7.618 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 7.618 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 7.618 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 7.618 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 7.618 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 7.618 * [taylor]: Taking taylor expansion of 1/3 in im 7.618 * [backup-simplify]: Simplify 1/3 into 1/3 7.618 * [taylor]: Taking taylor expansion of (log im) in im 7.619 * [taylor]: Taking taylor expansion of im in im 7.619 * [backup-simplify]: Simplify 0 into 0 7.619 * [backup-simplify]: Simplify 1 into 1 7.619 * [backup-simplify]: Simplify (log 1) into 0 7.619 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 7.620 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 7.620 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 7.620 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3) 7.621 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 7.621 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0 7.622 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 7.622 * [taylor]: Taking taylor expansion of 0 in im 7.622 * [backup-simplify]: Simplify 0 into 0 7.622 * [backup-simplify]: Simplify 0 into 0 7.624 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.624 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 7.625 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0 7.626 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 7.626 * [backup-simplify]: Simplify 0 into 0 7.627 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.627 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.628 * [backup-simplify]: Simplify (+ 1 0) into 1 7.628 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.630 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2)) 7.631 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/6 (/ 1 (pow im 2))) 7.632 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 7.632 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 7.632 * [taylor]: Taking taylor expansion of 1/6 in im 7.632 * [backup-simplify]: Simplify 1/6 into 1/6 7.632 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 7.632 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 7.632 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 7.632 * [taylor]: Taking taylor expansion of 1/3 in im 7.632 * [backup-simplify]: Simplify 1/3 into 1/3 7.632 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 7.632 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 7.632 * [taylor]: Taking taylor expansion of (pow im 5) in im 7.632 * [taylor]: Taking taylor expansion of im in im 7.632 * [backup-simplify]: Simplify 0 into 0 7.632 * [backup-simplify]: Simplify 1 into 1 7.633 * [backup-simplify]: Simplify (* 1 1) into 1 7.633 * [backup-simplify]: Simplify (* 1 1) into 1 7.633 * [backup-simplify]: Simplify (* 1 1) into 1 7.634 * [backup-simplify]: Simplify (/ 1 1) into 1 7.634 * [backup-simplify]: Simplify (log 1) into 0 7.635 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 7.635 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im)) 7.635 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3) 7.635 * [backup-simplify]: Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 7.636 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 7.636 * [backup-simplify]: Simplify 0 into 0 7.639 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.639 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 7.640 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log im)))) into 0 7.642 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.642 * [backup-simplify]: Simplify 0 into 0 7.643 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.644 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.644 * [backup-simplify]: Simplify (+ 0 0) into 0 7.644 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.647 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0 7.648 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0 7.651 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.651 * [taylor]: Taking taylor expansion of 0 in im 7.651 * [backup-simplify]: Simplify 0 into 0 7.651 * [backup-simplify]: Simplify 0 into 0 7.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.656 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 7.656 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0 7.657 * [backup-simplify]: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 7.658 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0 7.658 * [backup-simplify]: Simplify 0 into 0 7.658 * [backup-simplify]: Simplify 0 into 0 7.663 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.664 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 7.665 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0 7.666 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.667 * [backup-simplify]: Simplify 0 into 0 7.667 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) (pow (* 1 re) 2)) (pow im 1/3)) into (+ (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3)) 7.667 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 re) (/ 1 im))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/3) 7.667 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 7.667 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 7.667 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 7.668 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 7.668 * [taylor]: Taking taylor expansion of 1/3 in im 7.668 * [backup-simplify]: Simplify 1/3 into 1/3 7.668 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 7.668 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 7.668 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.668 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 7.668 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 7.668 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.668 * [taylor]: Taking taylor expansion of re in im 7.668 * [backup-simplify]: Simplify re into re 7.668 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.668 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.668 * [taylor]: Taking taylor expansion of re in im 7.668 * [backup-simplify]: Simplify re into re 7.668 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.668 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 7.668 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.668 * [taylor]: Taking taylor expansion of im in im 7.668 * [backup-simplify]: Simplify 0 into 0 7.668 * [backup-simplify]: Simplify 1 into 1 7.669 * [backup-simplify]: Simplify (/ 1 1) into 1 7.669 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.669 * [taylor]: Taking taylor expansion of im in im 7.669 * [backup-simplify]: Simplify 0 into 0 7.669 * [backup-simplify]: Simplify 1 into 1 7.669 * [backup-simplify]: Simplify (/ 1 1) into 1 7.670 * [backup-simplify]: Simplify (* 1 1) into 1 7.670 * [backup-simplify]: Simplify (+ 0 1) into 1 7.670 * [backup-simplify]: Simplify (sqrt 1) into 1 7.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.673 * [backup-simplify]: Simplify (+ 0 0) into 0 7.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.674 * [backup-simplify]: Simplify (log 1) into 0 7.675 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 7.675 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im)) 7.675 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 7.675 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 7.675 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 7.675 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 7.675 * [taylor]: Taking taylor expansion of 1/3 in re 7.675 * [backup-simplify]: Simplify 1/3 into 1/3 7.675 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 7.675 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 7.675 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.675 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 7.675 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 7.675 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.675 * [taylor]: Taking taylor expansion of re in re 7.675 * [backup-simplify]: Simplify 0 into 0 7.675 * [backup-simplify]: Simplify 1 into 1 7.676 * [backup-simplify]: Simplify (/ 1 1) into 1 7.676 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.676 * [taylor]: Taking taylor expansion of re in re 7.676 * [backup-simplify]: Simplify 0 into 0 7.676 * [backup-simplify]: Simplify 1 into 1 7.676 * [backup-simplify]: Simplify (/ 1 1) into 1 7.676 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 7.676 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.676 * [taylor]: Taking taylor expansion of im in re 7.676 * [backup-simplify]: Simplify im into im 7.677 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.677 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.677 * [taylor]: Taking taylor expansion of im in re 7.677 * [backup-simplify]: Simplify im into im 7.677 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.677 * [backup-simplify]: Simplify (* 1 1) into 1 7.678 * [backup-simplify]: Simplify (+ 1 0) into 1 7.678 * [backup-simplify]: Simplify (sqrt 1) into 1 7.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.681 * [backup-simplify]: Simplify (+ 0 0) into 0 7.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.682 * [backup-simplify]: Simplify (log 1) into 0 7.682 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 7.683 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 7.683 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 7.683 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 7.683 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 7.683 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 7.683 * [taylor]: Taking taylor expansion of 1/3 in re 7.683 * [backup-simplify]: Simplify 1/3 into 1/3 7.683 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 7.683 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 7.683 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.683 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 7.683 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 7.683 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.683 * [taylor]: Taking taylor expansion of re in re 7.683 * [backup-simplify]: Simplify 0 into 0 7.683 * [backup-simplify]: Simplify 1 into 1 7.684 * [backup-simplify]: Simplify (/ 1 1) into 1 7.684 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.684 * [taylor]: Taking taylor expansion of re in re 7.684 * [backup-simplify]: Simplify 0 into 0 7.684 * [backup-simplify]: Simplify 1 into 1 7.684 * [backup-simplify]: Simplify (/ 1 1) into 1 7.684 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 7.684 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.684 * [taylor]: Taking taylor expansion of im in re 7.684 * [backup-simplify]: Simplify im into im 7.684 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.684 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.684 * [taylor]: Taking taylor expansion of im in re 7.684 * [backup-simplify]: Simplify im into im 7.685 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.685 * [backup-simplify]: Simplify (* 1 1) into 1 7.685 * [backup-simplify]: Simplify (+ 1 0) into 1 7.686 * [backup-simplify]: Simplify (sqrt 1) into 1 7.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.688 * [backup-simplify]: Simplify (+ 0 0) into 0 7.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.689 * [backup-simplify]: Simplify (log 1) into 0 7.690 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 7.690 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 7.690 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 7.690 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 7.690 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 7.690 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 7.690 * [taylor]: Taking taylor expansion of -1/3 in im 7.690 * [backup-simplify]: Simplify -1/3 into -1/3 7.690 * [taylor]: Taking taylor expansion of (log re) in im 7.690 * [taylor]: Taking taylor expansion of re in im 7.690 * [backup-simplify]: Simplify re into re 7.690 * [backup-simplify]: Simplify (log re) into (log re) 7.691 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 7.691 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 7.691 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 7.691 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.692 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 7.692 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0 7.693 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 7.693 * [taylor]: Taking taylor expansion of 0 in im 7.693 * [backup-simplify]: Simplify 0 into 0 7.693 * [backup-simplify]: Simplify 0 into 0 7.693 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 7.694 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 7.694 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 7.694 * [backup-simplify]: Simplify 0 into 0 7.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.696 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 7.696 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.697 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.698 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 7.698 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 7.699 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2))) 7.699 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 7.699 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 7.699 * [taylor]: Taking taylor expansion of 1/6 in im 7.699 * [backup-simplify]: Simplify 1/6 into 1/6 7.699 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 7.699 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 7.699 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 7.699 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 7.699 * [taylor]: Taking taylor expansion of 1/3 in im 7.699 * [backup-simplify]: Simplify 1/3 into 1/3 7.700 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 7.700 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.700 * [taylor]: Taking taylor expansion of re in im 7.700 * [backup-simplify]: Simplify re into re 7.700 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.700 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 7.700 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 7.700 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 7.700 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.700 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.700 * [taylor]: Taking taylor expansion of im in im 7.700 * [backup-simplify]: Simplify 0 into 0 7.700 * [backup-simplify]: Simplify 1 into 1 7.700 * [backup-simplify]: Simplify (* 1 1) into 1 7.700 * [backup-simplify]: Simplify (/ 1 1) into 1 7.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 7.703 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 7.703 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 7.704 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 7.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 7.705 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 7.706 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 7.706 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.707 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 7.707 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 7.708 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 7.708 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 7.708 * [backup-simplify]: Simplify 0 into 0 7.708 * [backup-simplify]: Simplify 0 into 0 7.710 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 7.710 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 7.711 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.711 * [backup-simplify]: Simplify 0 into 0 7.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 7.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 7.713 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 7.713 * [backup-simplify]: Simplify (+ 0 0) into 0 7.714 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.717 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.718 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 7.718 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 7.720 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.720 * [taylor]: Taking taylor expansion of 0 in im 7.720 * [backup-simplify]: Simplify 0 into 0 7.720 * [backup-simplify]: Simplify 0 into 0 7.720 * [backup-simplify]: Simplify (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3) 7.720 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/3) 7.720 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 7.720 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 7.720 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 7.720 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 7.720 * [taylor]: Taking taylor expansion of 1/3 in im 7.720 * [backup-simplify]: Simplify 1/3 into 1/3 7.720 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 7.720 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 7.720 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.720 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 7.720 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 7.720 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.720 * [taylor]: Taking taylor expansion of -1 in im 7.720 * [backup-simplify]: Simplify -1 into -1 7.720 * [taylor]: Taking taylor expansion of re in im 7.720 * [backup-simplify]: Simplify re into re 7.721 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 7.721 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.721 * [taylor]: Taking taylor expansion of -1 in im 7.721 * [backup-simplify]: Simplify -1 into -1 7.721 * [taylor]: Taking taylor expansion of re in im 7.721 * [backup-simplify]: Simplify re into re 7.721 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 7.721 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 7.721 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.721 * [taylor]: Taking taylor expansion of -1 in im 7.721 * [backup-simplify]: Simplify -1 into -1 7.721 * [taylor]: Taking taylor expansion of im in im 7.721 * [backup-simplify]: Simplify 0 into 0 7.721 * [backup-simplify]: Simplify 1 into 1 7.721 * [backup-simplify]: Simplify (/ -1 1) into -1 7.721 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.721 * [taylor]: Taking taylor expansion of -1 in im 7.721 * [backup-simplify]: Simplify -1 into -1 7.721 * [taylor]: Taking taylor expansion of im in im 7.721 * [backup-simplify]: Simplify 0 into 0 7.721 * [backup-simplify]: Simplify 1 into 1 7.722 * [backup-simplify]: Simplify (/ -1 1) into -1 7.722 * [backup-simplify]: Simplify (* -1 -1) into 1 7.722 * [backup-simplify]: Simplify (+ 0 1) into 1 7.722 * [backup-simplify]: Simplify (sqrt 1) into 1 7.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.725 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.725 * [backup-simplify]: Simplify (+ 0 0) into 0 7.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.726 * [backup-simplify]: Simplify (log 1) into 0 7.727 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 7.727 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im)) 7.727 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 7.727 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 7.727 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 7.727 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 7.727 * [taylor]: Taking taylor expansion of 1/3 in re 7.727 * [backup-simplify]: Simplify 1/3 into 1/3 7.727 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 7.727 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 7.727 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.727 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 7.727 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 7.727 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.727 * [taylor]: Taking taylor expansion of -1 in re 7.727 * [backup-simplify]: Simplify -1 into -1 7.727 * [taylor]: Taking taylor expansion of re in re 7.727 * [backup-simplify]: Simplify 0 into 0 7.727 * [backup-simplify]: Simplify 1 into 1 7.728 * [backup-simplify]: Simplify (/ -1 1) into -1 7.728 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.728 * [taylor]: Taking taylor expansion of -1 in re 7.728 * [backup-simplify]: Simplify -1 into -1 7.728 * [taylor]: Taking taylor expansion of re in re 7.728 * [backup-simplify]: Simplify 0 into 0 7.728 * [backup-simplify]: Simplify 1 into 1 7.728 * [backup-simplify]: Simplify (/ -1 1) into -1 7.728 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 7.729 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.729 * [taylor]: Taking taylor expansion of -1 in re 7.729 * [backup-simplify]: Simplify -1 into -1 7.729 * [taylor]: Taking taylor expansion of im in re 7.729 * [backup-simplify]: Simplify im into im 7.729 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.729 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.729 * [taylor]: Taking taylor expansion of -1 in re 7.729 * [backup-simplify]: Simplify -1 into -1 7.729 * [taylor]: Taking taylor expansion of im in re 7.729 * [backup-simplify]: Simplify im into im 7.729 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.729 * [backup-simplify]: Simplify (* -1 -1) into 1 7.730 * [backup-simplify]: Simplify (+ 1 0) into 1 7.730 * [backup-simplify]: Simplify (sqrt 1) into 1 7.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.732 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.733 * [backup-simplify]: Simplify (+ 0 0) into 0 7.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.734 * [backup-simplify]: Simplify (log 1) into 0 7.734 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 7.735 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 7.735 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 7.735 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 7.735 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 7.735 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 7.735 * [taylor]: Taking taylor expansion of 1/3 in re 7.735 * [backup-simplify]: Simplify 1/3 into 1/3 7.735 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 7.735 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 7.735 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.735 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 7.735 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 7.735 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.735 * [taylor]: Taking taylor expansion of -1 in re 7.735 * [backup-simplify]: Simplify -1 into -1 7.735 * [taylor]: Taking taylor expansion of re in re 7.735 * [backup-simplify]: Simplify 0 into 0 7.735 * [backup-simplify]: Simplify 1 into 1 7.736 * [backup-simplify]: Simplify (/ -1 1) into -1 7.736 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.736 * [taylor]: Taking taylor expansion of -1 in re 7.736 * [backup-simplify]: Simplify -1 into -1 7.736 * [taylor]: Taking taylor expansion of re in re 7.736 * [backup-simplify]: Simplify 0 into 0 7.736 * [backup-simplify]: Simplify 1 into 1 7.736 * [backup-simplify]: Simplify (/ -1 1) into -1 7.736 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 7.736 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.736 * [taylor]: Taking taylor expansion of -1 in re 7.736 * [backup-simplify]: Simplify -1 into -1 7.736 * [taylor]: Taking taylor expansion of im in re 7.736 * [backup-simplify]: Simplify im into im 7.737 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.737 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.737 * [taylor]: Taking taylor expansion of -1 in re 7.737 * [backup-simplify]: Simplify -1 into -1 7.737 * [taylor]: Taking taylor expansion of im in re 7.737 * [backup-simplify]: Simplify im into im 7.737 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.737 * [backup-simplify]: Simplify (* -1 -1) into 1 7.738 * [backup-simplify]: Simplify (+ 1 0) into 1 7.738 * [backup-simplify]: Simplify (sqrt 1) into 1 7.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.740 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.741 * [backup-simplify]: Simplify (+ 0 0) into 0 7.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.742 * [backup-simplify]: Simplify (log 1) into 0 7.742 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 7.742 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 7.742 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 7.742 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 7.742 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 7.742 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 7.742 * [taylor]: Taking taylor expansion of -1/3 in im 7.742 * [backup-simplify]: Simplify -1/3 into -1/3 7.742 * [taylor]: Taking taylor expansion of (log re) in im 7.742 * [taylor]: Taking taylor expansion of re in im 7.742 * [backup-simplify]: Simplify re into re 7.743 * [backup-simplify]: Simplify (log re) into (log re) 7.743 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 7.743 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 7.743 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 7.744 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.745 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 7.745 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0 7.746 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 7.746 * [taylor]: Taking taylor expansion of 0 in im 7.746 * [backup-simplify]: Simplify 0 into 0 7.746 * [backup-simplify]: Simplify 0 into 0 7.747 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 7.748 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 7.749 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 7.749 * [backup-simplify]: Simplify 0 into 0 7.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.752 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 7.752 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 7.752 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.753 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.755 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 7.756 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 7.756 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2))) 7.758 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 7.758 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 7.758 * [taylor]: Taking taylor expansion of 1/6 in im 7.758 * [backup-simplify]: Simplify 1/6 into 1/6 7.758 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 7.758 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 7.758 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 7.758 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 7.758 * [taylor]: Taking taylor expansion of 1/3 in im 7.758 * [backup-simplify]: Simplify 1/3 into 1/3 7.758 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 7.758 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.758 * [taylor]: Taking taylor expansion of re in im 7.758 * [backup-simplify]: Simplify re into re 7.758 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.758 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 7.758 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 7.758 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 7.758 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.758 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.758 * [taylor]: Taking taylor expansion of im in im 7.758 * [backup-simplify]: Simplify 0 into 0 7.758 * [backup-simplify]: Simplify 1 into 1 7.759 * [backup-simplify]: Simplify (* 1 1) into 1 7.760 * [backup-simplify]: Simplify (/ 1 1) into 1 7.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 7.764 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 7.765 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 7.765 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 7.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 7.768 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 7.769 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 7.770 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.771 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 7.772 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 7.772 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 7.773 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 7.773 * [backup-simplify]: Simplify 0 into 0 7.773 * [backup-simplify]: Simplify 0 into 0 7.775 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 7.775 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 7.777 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.777 * [backup-simplify]: Simplify 0 into 0 7.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.780 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 7.780 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 7.780 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 7.781 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 7.781 * [backup-simplify]: Simplify (+ 0 0) into 0 7.782 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.785 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.786 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 7.787 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 7.789 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.789 * [taylor]: Taking taylor expansion of 0 in im 7.789 * [backup-simplify]: Simplify 0 into 0 7.789 * [backup-simplify]: Simplify 0 into 0 7.790 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3) 7.790 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1 1 2) 7.790 * [backup-simplify]: Simplify (cbrt (hypot re im)) into (pow (hypot re im) 1/3) 7.790 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 7.790 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 7.790 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 7.790 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 7.790 * [taylor]: Taking taylor expansion of 1/3 in im 7.790 * [backup-simplify]: Simplify 1/3 into 1/3 7.790 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 7.790 * [taylor]: Taking taylor expansion of (hypot re im) in im 7.790 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.790 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 7.790 * [taylor]: Taking taylor expansion of (* re re) in im 7.790 * [taylor]: Taking taylor expansion of re in im 7.790 * [backup-simplify]: Simplify re into re 7.790 * [taylor]: Taking taylor expansion of re in im 7.790 * [backup-simplify]: Simplify re into re 7.790 * [taylor]: Taking taylor expansion of (* im im) in im 7.790 * [taylor]: Taking taylor expansion of im in im 7.790 * [backup-simplify]: Simplify 0 into 0 7.790 * [backup-simplify]: Simplify 1 into 1 7.790 * [taylor]: Taking taylor expansion of im in im 7.791 * [backup-simplify]: Simplify 0 into 0 7.791 * [backup-simplify]: Simplify 1 into 1 7.791 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.791 * [backup-simplify]: Simplify (* 0 0) into 0 7.791 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.791 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.791 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.792 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.792 * [backup-simplify]: Simplify (+ 0 0) into 0 7.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.793 * [backup-simplify]: Simplify (log re) into (log re) 7.793 * [backup-simplify]: Simplify (* 1/3 (log re)) into (* 1/3 (log re)) 7.793 * [backup-simplify]: Simplify (exp (* 1/3 (log re))) into (pow re 1/3) 7.793 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 7.793 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 7.793 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 7.793 * [taylor]: Taking taylor expansion of 1/3 in re 7.793 * [backup-simplify]: Simplify 1/3 into 1/3 7.793 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 7.793 * [taylor]: Taking taylor expansion of (hypot re im) in re 7.793 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.793 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 7.793 * [taylor]: Taking taylor expansion of (* re re) in re 7.793 * [taylor]: Taking taylor expansion of re in re 7.793 * [backup-simplify]: Simplify 0 into 0 7.793 * [backup-simplify]: Simplify 1 into 1 7.793 * [taylor]: Taking taylor expansion of re in re 7.793 * [backup-simplify]: Simplify 0 into 0 7.793 * [backup-simplify]: Simplify 1 into 1 7.793 * [taylor]: Taking taylor expansion of (* im im) in re 7.793 * [taylor]: Taking taylor expansion of im in re 7.793 * [backup-simplify]: Simplify im into im 7.794 * [taylor]: Taking taylor expansion of im in re 7.794 * [backup-simplify]: Simplify im into im 7.794 * [backup-simplify]: Simplify (* 0 0) into 0 7.794 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.794 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.794 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.795 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.795 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.795 * [backup-simplify]: Simplify (+ 0 0) into 0 7.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.795 * [backup-simplify]: Simplify (log im) into (log im) 7.795 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 7.795 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 7.795 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 7.795 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 7.795 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 7.795 * [taylor]: Taking taylor expansion of 1/3 in re 7.795 * [backup-simplify]: Simplify 1/3 into 1/3 7.795 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 7.795 * [taylor]: Taking taylor expansion of (hypot re im) in re 7.796 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.796 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 7.796 * [taylor]: Taking taylor expansion of (* re re) in re 7.796 * [taylor]: Taking taylor expansion of re in re 7.796 * [backup-simplify]: Simplify 0 into 0 7.796 * [backup-simplify]: Simplify 1 into 1 7.796 * [taylor]: Taking taylor expansion of re in re 7.796 * [backup-simplify]: Simplify 0 into 0 7.796 * [backup-simplify]: Simplify 1 into 1 7.796 * [taylor]: Taking taylor expansion of (* im im) in re 7.796 * [taylor]: Taking taylor expansion of im in re 7.796 * [backup-simplify]: Simplify im into im 7.796 * [taylor]: Taking taylor expansion of im in re 7.796 * [backup-simplify]: Simplify im into im 7.796 * [backup-simplify]: Simplify (* 0 0) into 0 7.796 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.796 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.796 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.797 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.797 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.797 * [backup-simplify]: Simplify (+ 0 0) into 0 7.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.797 * [backup-simplify]: Simplify (log im) into (log im) 7.797 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 7.797 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 7.797 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 7.797 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 7.797 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 7.797 * [taylor]: Taking taylor expansion of 1/3 in im 7.797 * [backup-simplify]: Simplify 1/3 into 1/3 7.797 * [taylor]: Taking taylor expansion of (log im) in im 7.797 * [taylor]: Taking taylor expansion of im in im 7.797 * [backup-simplify]: Simplify 0 into 0 7.797 * [backup-simplify]: Simplify 1 into 1 7.798 * [backup-simplify]: Simplify (log 1) into 0 7.798 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 7.798 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 7.798 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 7.798 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3) 7.799 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 7.799 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0 7.799 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 7.799 * [taylor]: Taking taylor expansion of 0 in im 7.799 * [backup-simplify]: Simplify 0 into 0 7.799 * [backup-simplify]: Simplify 0 into 0 7.800 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.801 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 7.801 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0 7.801 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 7.801 * [backup-simplify]: Simplify 0 into 0 7.802 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.802 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.802 * [backup-simplify]: Simplify (+ 1 0) into 1 7.803 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.804 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2)) 7.804 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/6 (/ 1 (pow im 2))) 7.805 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 7.805 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 7.805 * [taylor]: Taking taylor expansion of 1/6 in im 7.805 * [backup-simplify]: Simplify 1/6 into 1/6 7.805 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 7.805 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 7.805 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 7.805 * [taylor]: Taking taylor expansion of 1/3 in im 7.805 * [backup-simplify]: Simplify 1/3 into 1/3 7.805 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 7.805 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 7.805 * [taylor]: Taking taylor expansion of (pow im 5) in im 7.805 * [taylor]: Taking taylor expansion of im in im 7.805 * [backup-simplify]: Simplify 0 into 0 7.805 * [backup-simplify]: Simplify 1 into 1 7.805 * [backup-simplify]: Simplify (* 1 1) into 1 7.805 * [backup-simplify]: Simplify (* 1 1) into 1 7.806 * [backup-simplify]: Simplify (* 1 1) into 1 7.806 * [backup-simplify]: Simplify (/ 1 1) into 1 7.806 * [backup-simplify]: Simplify (log 1) into 0 7.806 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 7.806 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im)) 7.806 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3) 7.807 * [backup-simplify]: Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 7.807 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 7.807 * [backup-simplify]: Simplify 0 into 0 7.808 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.809 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 7.809 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log im)))) into 0 7.810 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.810 * [backup-simplify]: Simplify 0 into 0 7.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.811 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.811 * [backup-simplify]: Simplify (+ 0 0) into 0 7.811 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.813 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0 7.814 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0 7.815 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.815 * [taylor]: Taking taylor expansion of 0 in im 7.815 * [backup-simplify]: Simplify 0 into 0 7.815 * [backup-simplify]: Simplify 0 into 0 7.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.817 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.818 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 7.818 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0 7.819 * [backup-simplify]: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 7.819 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0 7.819 * [backup-simplify]: Simplify 0 into 0 7.819 * [backup-simplify]: Simplify 0 into 0 7.822 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.822 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 7.823 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0 7.824 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.824 * [backup-simplify]: Simplify 0 into 0 7.825 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) (pow (* 1 re) 2)) (pow im 1/3)) into (+ (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3)) 7.825 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 re) (/ 1 im))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/3) 7.825 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 7.825 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 7.825 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 7.825 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 7.825 * [taylor]: Taking taylor expansion of 1/3 in im 7.825 * [backup-simplify]: Simplify 1/3 into 1/3 7.825 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 7.825 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 7.825 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.825 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 7.825 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 7.825 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.825 * [taylor]: Taking taylor expansion of re in im 7.825 * [backup-simplify]: Simplify re into re 7.825 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.825 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.825 * [taylor]: Taking taylor expansion of re in im 7.825 * [backup-simplify]: Simplify re into re 7.825 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.825 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 7.825 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.825 * [taylor]: Taking taylor expansion of im in im 7.825 * [backup-simplify]: Simplify 0 into 0 7.825 * [backup-simplify]: Simplify 1 into 1 7.826 * [backup-simplify]: Simplify (/ 1 1) into 1 7.826 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.826 * [taylor]: Taking taylor expansion of im in im 7.826 * [backup-simplify]: Simplify 0 into 0 7.826 * [backup-simplify]: Simplify 1 into 1 7.826 * [backup-simplify]: Simplify (/ 1 1) into 1 7.826 * [backup-simplify]: Simplify (* 1 1) into 1 7.826 * [backup-simplify]: Simplify (+ 0 1) into 1 7.827 * [backup-simplify]: Simplify (sqrt 1) into 1 7.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.829 * [backup-simplify]: Simplify (+ 0 0) into 0 7.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.830 * [backup-simplify]: Simplify (log 1) into 0 7.831 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 7.831 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im)) 7.831 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 7.831 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 7.831 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 7.831 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 7.831 * [taylor]: Taking taylor expansion of 1/3 in re 7.831 * [backup-simplify]: Simplify 1/3 into 1/3 7.831 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 7.831 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 7.831 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.831 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 7.831 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 7.831 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.832 * [taylor]: Taking taylor expansion of re in re 7.832 * [backup-simplify]: Simplify 0 into 0 7.832 * [backup-simplify]: Simplify 1 into 1 7.832 * [backup-simplify]: Simplify (/ 1 1) into 1 7.832 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.832 * [taylor]: Taking taylor expansion of re in re 7.832 * [backup-simplify]: Simplify 0 into 0 7.832 * [backup-simplify]: Simplify 1 into 1 7.832 * [backup-simplify]: Simplify (/ 1 1) into 1 7.832 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 7.832 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.833 * [taylor]: Taking taylor expansion of im in re 7.833 * [backup-simplify]: Simplify im into im 7.833 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.833 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.833 * [taylor]: Taking taylor expansion of im in re 7.833 * [backup-simplify]: Simplify im into im 7.833 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.833 * [backup-simplify]: Simplify (* 1 1) into 1 7.834 * [backup-simplify]: Simplify (+ 1 0) into 1 7.834 * [backup-simplify]: Simplify (sqrt 1) into 1 7.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.836 * [backup-simplify]: Simplify (+ 0 0) into 0 7.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.838 * [backup-simplify]: Simplify (log 1) into 0 7.838 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 7.838 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 7.838 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 7.838 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 7.839 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 7.839 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 7.839 * [taylor]: Taking taylor expansion of 1/3 in re 7.839 * [backup-simplify]: Simplify 1/3 into 1/3 7.839 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 7.839 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 7.839 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.839 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 7.839 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 7.839 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.839 * [taylor]: Taking taylor expansion of re in re 7.839 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify 1 into 1 7.839 * [backup-simplify]: Simplify (/ 1 1) into 1 7.839 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.839 * [taylor]: Taking taylor expansion of re in re 7.839 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify 1 into 1 7.840 * [backup-simplify]: Simplify (/ 1 1) into 1 7.840 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 7.840 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.840 * [taylor]: Taking taylor expansion of im in re 7.840 * [backup-simplify]: Simplify im into im 7.840 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.840 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.840 * [taylor]: Taking taylor expansion of im in re 7.840 * [backup-simplify]: Simplify im into im 7.840 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.841 * [backup-simplify]: Simplify (* 1 1) into 1 7.841 * [backup-simplify]: Simplify (+ 1 0) into 1 7.841 * [backup-simplify]: Simplify (sqrt 1) into 1 7.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.846 * [backup-simplify]: Simplify (+ 0 0) into 0 7.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.847 * [backup-simplify]: Simplify (log 1) into 0 7.848 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 7.848 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 7.848 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 7.848 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 7.848 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 7.848 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 7.848 * [taylor]: Taking taylor expansion of -1/3 in im 7.848 * [backup-simplify]: Simplify -1/3 into -1/3 7.848 * [taylor]: Taking taylor expansion of (log re) in im 7.848 * [taylor]: Taking taylor expansion of re in im 7.848 * [backup-simplify]: Simplify re into re 7.848 * [backup-simplify]: Simplify (log re) into (log re) 7.848 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 7.848 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 7.848 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 7.850 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.850 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 7.851 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0 7.852 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 7.852 * [taylor]: Taking taylor expansion of 0 in im 7.852 * [backup-simplify]: Simplify 0 into 0 7.852 * [backup-simplify]: Simplify 0 into 0 7.853 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 7.853 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 7.854 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 7.854 * [backup-simplify]: Simplify 0 into 0 7.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.857 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 7.858 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.859 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.861 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 7.861 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 7.862 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2))) 7.863 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 7.863 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 7.863 * [taylor]: Taking taylor expansion of 1/6 in im 7.863 * [backup-simplify]: Simplify 1/6 into 1/6 7.863 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 7.863 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 7.863 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 7.863 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 7.863 * [taylor]: Taking taylor expansion of 1/3 in im 7.863 * [backup-simplify]: Simplify 1/3 into 1/3 7.863 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 7.863 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.864 * [taylor]: Taking taylor expansion of re in im 7.864 * [backup-simplify]: Simplify re into re 7.864 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.864 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 7.864 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 7.864 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 7.864 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.864 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.864 * [taylor]: Taking taylor expansion of im in im 7.864 * [backup-simplify]: Simplify 0 into 0 7.864 * [backup-simplify]: Simplify 1 into 1 7.864 * [backup-simplify]: Simplify (* 1 1) into 1 7.865 * [backup-simplify]: Simplify (/ 1 1) into 1 7.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 7.869 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 7.870 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 7.871 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 7.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 7.873 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 7.874 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 7.875 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.876 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 7.877 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 7.877 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 7.878 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 7.878 * [backup-simplify]: Simplify 0 into 0 7.878 * [backup-simplify]: Simplify 0 into 0 7.880 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 7.881 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 7.882 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.882 * [backup-simplify]: Simplify 0 into 0 7.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 7.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 7.886 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 7.886 * [backup-simplify]: Simplify (+ 0 0) into 0 7.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.891 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.891 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 7.892 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 7.895 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.895 * [taylor]: Taking taylor expansion of 0 in im 7.895 * [backup-simplify]: Simplify 0 into 0 7.895 * [backup-simplify]: Simplify 0 into 0 7.895 * [backup-simplify]: Simplify (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3) 7.895 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/3) 7.895 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 7.895 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 7.895 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 7.895 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 7.895 * [taylor]: Taking taylor expansion of 1/3 in im 7.895 * [backup-simplify]: Simplify 1/3 into 1/3 7.895 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 7.896 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 7.896 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.896 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 7.896 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 7.896 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.896 * [taylor]: Taking taylor expansion of -1 in im 7.896 * [backup-simplify]: Simplify -1 into -1 7.896 * [taylor]: Taking taylor expansion of re in im 7.896 * [backup-simplify]: Simplify re into re 7.896 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 7.896 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.896 * [taylor]: Taking taylor expansion of -1 in im 7.896 * [backup-simplify]: Simplify -1 into -1 7.896 * [taylor]: Taking taylor expansion of re in im 7.896 * [backup-simplify]: Simplify re into re 7.896 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 7.896 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 7.896 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.896 * [taylor]: Taking taylor expansion of -1 in im 7.896 * [backup-simplify]: Simplify -1 into -1 7.896 * [taylor]: Taking taylor expansion of im in im 7.896 * [backup-simplify]: Simplify 0 into 0 7.896 * [backup-simplify]: Simplify 1 into 1 7.897 * [backup-simplify]: Simplify (/ -1 1) into -1 7.897 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.897 * [taylor]: Taking taylor expansion of -1 in im 7.897 * [backup-simplify]: Simplify -1 into -1 7.897 * [taylor]: Taking taylor expansion of im in im 7.897 * [backup-simplify]: Simplify 0 into 0 7.897 * [backup-simplify]: Simplify 1 into 1 7.897 * [backup-simplify]: Simplify (/ -1 1) into -1 7.898 * [backup-simplify]: Simplify (* -1 -1) into 1 7.898 * [backup-simplify]: Simplify (+ 0 1) into 1 7.899 * [backup-simplify]: Simplify (sqrt 1) into 1 7.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.900 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.900 * [backup-simplify]: Simplify (+ 0 0) into 0 7.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.901 * [backup-simplify]: Simplify (log 1) into 0 7.901 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 7.901 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im)) 7.901 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 7.901 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 7.901 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 7.901 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 7.901 * [taylor]: Taking taylor expansion of 1/3 in re 7.901 * [backup-simplify]: Simplify 1/3 into 1/3 7.901 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 7.901 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 7.902 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.902 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 7.902 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 7.902 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.902 * [taylor]: Taking taylor expansion of -1 in re 7.902 * [backup-simplify]: Simplify -1 into -1 7.902 * [taylor]: Taking taylor expansion of re in re 7.902 * [backup-simplify]: Simplify 0 into 0 7.902 * [backup-simplify]: Simplify 1 into 1 7.902 * [backup-simplify]: Simplify (/ -1 1) into -1 7.902 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.902 * [taylor]: Taking taylor expansion of -1 in re 7.902 * [backup-simplify]: Simplify -1 into -1 7.902 * [taylor]: Taking taylor expansion of re in re 7.902 * [backup-simplify]: Simplify 0 into 0 7.902 * [backup-simplify]: Simplify 1 into 1 7.902 * [backup-simplify]: Simplify (/ -1 1) into -1 7.902 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 7.902 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.902 * [taylor]: Taking taylor expansion of -1 in re 7.902 * [backup-simplify]: Simplify -1 into -1 7.902 * [taylor]: Taking taylor expansion of im in re 7.902 * [backup-simplify]: Simplify im into im 7.903 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.903 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.903 * [taylor]: Taking taylor expansion of -1 in re 7.903 * [backup-simplify]: Simplify -1 into -1 7.903 * [taylor]: Taking taylor expansion of im in re 7.903 * [backup-simplify]: Simplify im into im 7.903 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.903 * [backup-simplify]: Simplify (* -1 -1) into 1 7.903 * [backup-simplify]: Simplify (+ 1 0) into 1 7.903 * [backup-simplify]: Simplify (sqrt 1) into 1 7.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.905 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.905 * [backup-simplify]: Simplify (+ 0 0) into 0 7.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.906 * [backup-simplify]: Simplify (log 1) into 0 7.906 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 7.906 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 7.906 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 7.906 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 7.906 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 7.906 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 7.906 * [taylor]: Taking taylor expansion of 1/3 in re 7.906 * [backup-simplify]: Simplify 1/3 into 1/3 7.906 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 7.906 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 7.906 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.906 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 7.906 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 7.907 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.907 * [taylor]: Taking taylor expansion of -1 in re 7.907 * [backup-simplify]: Simplify -1 into -1 7.907 * [taylor]: Taking taylor expansion of re in re 7.907 * [backup-simplify]: Simplify 0 into 0 7.907 * [backup-simplify]: Simplify 1 into 1 7.907 * [backup-simplify]: Simplify (/ -1 1) into -1 7.907 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.907 * [taylor]: Taking taylor expansion of -1 in re 7.907 * [backup-simplify]: Simplify -1 into -1 7.907 * [taylor]: Taking taylor expansion of re in re 7.907 * [backup-simplify]: Simplify 0 into 0 7.907 * [backup-simplify]: Simplify 1 into 1 7.907 * [backup-simplify]: Simplify (/ -1 1) into -1 7.907 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 7.907 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.907 * [taylor]: Taking taylor expansion of -1 in re 7.907 * [backup-simplify]: Simplify -1 into -1 7.907 * [taylor]: Taking taylor expansion of im in re 7.907 * [backup-simplify]: Simplify im into im 7.907 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.907 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.907 * [taylor]: Taking taylor expansion of -1 in re 7.907 * [backup-simplify]: Simplify -1 into -1 7.907 * [taylor]: Taking taylor expansion of im in re 7.907 * [backup-simplify]: Simplify im into im 7.907 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.908 * [backup-simplify]: Simplify (* -1 -1) into 1 7.908 * [backup-simplify]: Simplify (+ 1 0) into 1 7.908 * [backup-simplify]: Simplify (sqrt 1) into 1 7.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.910 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.910 * [backup-simplify]: Simplify (+ 0 0) into 0 7.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.911 * [backup-simplify]: Simplify (log 1) into 0 7.911 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 7.911 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 7.911 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 7.911 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 7.911 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 7.911 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 7.911 * [taylor]: Taking taylor expansion of -1/3 in im 7.911 * [backup-simplify]: Simplify -1/3 into -1/3 7.911 * [taylor]: Taking taylor expansion of (log re) in im 7.911 * [taylor]: Taking taylor expansion of re in im 7.911 * [backup-simplify]: Simplify re into re 7.911 * [backup-simplify]: Simplify (log re) into (log re) 7.911 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 7.911 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 7.911 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 7.912 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.913 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 7.913 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0 7.913 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 7.913 * [taylor]: Taking taylor expansion of 0 in im 7.913 * [backup-simplify]: Simplify 0 into 0 7.913 * [backup-simplify]: Simplify 0 into 0 7.914 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 7.914 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 7.915 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 7.915 * [backup-simplify]: Simplify 0 into 0 7.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.917 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 7.917 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 7.917 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.918 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.919 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 7.919 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 7.920 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2))) 7.920 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 7.920 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 7.920 * [taylor]: Taking taylor expansion of 1/6 in im 7.920 * [backup-simplify]: Simplify 1/6 into 1/6 7.920 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 7.920 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 7.920 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 7.920 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 7.920 * [taylor]: Taking taylor expansion of 1/3 in im 7.921 * [backup-simplify]: Simplify 1/3 into 1/3 7.921 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 7.921 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.921 * [taylor]: Taking taylor expansion of re in im 7.921 * [backup-simplify]: Simplify re into re 7.921 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.921 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 7.921 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 7.921 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 7.921 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.921 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.921 * [taylor]: Taking taylor expansion of im in im 7.921 * [backup-simplify]: Simplify 0 into 0 7.921 * [backup-simplify]: Simplify 1 into 1 7.921 * [backup-simplify]: Simplify (* 1 1) into 1 7.922 * [backup-simplify]: Simplify (/ 1 1) into 1 7.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 7.924 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 7.924 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 7.925 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 7.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 7.926 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 7.927 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 7.929 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.930 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 7.930 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 7.930 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 7.931 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 7.931 * [backup-simplify]: Simplify 0 into 0 7.932 * [backup-simplify]: Simplify 0 into 0 7.933 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 7.934 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 7.936 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.936 * [backup-simplify]: Simplify 0 into 0 7.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.939 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 7.939 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 7.939 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 7.939 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 7.940 * [backup-simplify]: Simplify (+ 0 0) into 0 7.941 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.945 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 7.945 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 7.947 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 7.949 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.949 * [taylor]: Taking taylor expansion of 0 in im 7.949 * [backup-simplify]: Simplify 0 into 0 7.949 * [backup-simplify]: Simplify 0 into 0 7.949 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3) 7.949 * * * [progress]: simplifying candidates 7.951 * [simplify]: Simplifying: (expm1 (fma (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)) re)) (log1p (fma (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)) re)) (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im))) (log (fma (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)) re)) (exp (fma (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)) re)) (* (cbrt (fma (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)) re)) (cbrt (fma (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)) re))) (cbrt (fma (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)) re)) (* (* (fma (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)) re) (fma (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)) re)) (fma (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)) re)) (sqrt (fma (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)) re)) (sqrt (fma (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (hypot re im)) re)) (expm1 (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (log1p (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (+ 1/3 1/3) (+ 1 1) (* (hypot re im) (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (+ 1 1) (+ (log (cbrt (hypot re im))) (log (cbrt (hypot re im)))) (log (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (exp (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (hypot re im) (hypot re im)) (* (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (* (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* 1 1) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* 2 1/3) (* 2 1) (* (cbrt (hypot re im)) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (cbrt (hypot re im)) (cbrt (sqrt (hypot re im)))) (* (cbrt (hypot re im)) (cbrt 1)) (* (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))) (* (cbrt (hypot re im)) (sqrt (cbrt (hypot re im)))) (* (cbrt (hypot re im)) 1) (* (cbrt (cbrt (hypot re im))) (cbrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (hypot re im))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (* (cbrt (cbrt (hypot re im))) (cbrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (cbrt (hypot re im))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (+ re im) (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))) (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))) (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (+ (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 7.954 * * [simplify]: iteration 0: 98 enodes 7.989 * * [simplify]: iteration 1: 208 enodes 8.064 * * [simplify]: iteration 2: 820 enodes 8.890 * * [simplify]: iteration complete: 5000 enodes 8.890 * * [simplify]: Extracting #0: cost 46 inf + 0 8.891 * * [simplify]: Extracting #1: cost 851 inf + 3 8.899 * * [simplify]: Extracting #2: cost 1481 inf + 158 8.908 * * [simplify]: Extracting #3: cost 1227 inf + 4318 8.919 * * [simplify]: Extracting #4: cost 365 inf + 15034 8.930 * * [simplify]: Extracting #5: cost 137 inf + 17483 8.940 * * [simplify]: Extracting #6: cost 67 inf + 17923 8.951 * * [simplify]: Extracting #7: cost 2 inf + 18498 8.961 * * [simplify]: Extracting #8: cost 0 inf + 18369 8.972 * * [simplify]: Extracting #9: cost 0 inf + 18361 8.985 * [simplify]: Simplified to: (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (pow (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 3) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (expm1 (pow (sqrt (cbrt (hypot re im))) (+ 3 1))) (log1p (pow (sqrt (cbrt (hypot re im))) (+ 3 1))) 2/3 2 (* (hypot re im) (hypot re im)) (pow (sqrt (cbrt (hypot re im))) (+ 3 1)) 2 (* (log (cbrt (hypot re im))) 2) (* (log (cbrt (hypot re im))) 2) (pow (exp (cbrt (hypot re im))) (cbrt (hypot re im))) (* (hypot re im) (hypot re im)) (* (cbrt (pow (sqrt (cbrt (hypot re im))) (+ 3 1))) (cbrt (pow (sqrt (cbrt (hypot re im))) (+ 3 1)))) (cbrt (pow (sqrt (cbrt (hypot re im))) (+ 3 1))) (* (hypot re im) (hypot re im)) (fabs (cbrt (hypot re im))) (fabs (cbrt (hypot re im))) (* (cbrt (pow (sqrt (cbrt (hypot re im))) (+ 3 1))) (cbrt (pow (sqrt (cbrt (hypot re im))) (+ 3 1)))) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) 1 (pow (sqrt (cbrt (hypot re im))) (+ 3 1)) (pow (cbrt (cbrt (hypot re im))) (+ 3 1)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (hypot re im)) (cbrt (hypot re im)) 1 (pow (sqrt (cbrt (hypot re im))) (+ 3 1)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (hypot re im)) (cbrt (hypot re im)) 2/3 2 (* (cbrt (hypot re im)) (cbrt (pow (sqrt (cbrt (hypot re im))) (+ 3 1)))) (* (cbrt (hypot re im)) (cbrt (sqrt (hypot re im)))) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (pow (cbrt (cbrt (hypot re im))) (+ 3 1))) (pow (sqrt (cbrt (hypot re im))) 3) (cbrt (hypot re im)) (pow (cbrt (cbrt (hypot re im))) (+ 3 1)) (* (cbrt (hypot re im)) (cbrt (sqrt (hypot re im)))) (pow (sqrt (cbrt (hypot re im))) (+ 3 1)) (pow (cbrt (cbrt (hypot re im))) (+ 3 1)) (pow (sqrt (cbrt (hypot re im))) 3) (pow (sqrt (cbrt (hypot re im))) (+ 3 1)) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (pow (sqrt (cbrt (hypot re im))) (+ 3 1))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) 1 (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (pow (sqrt (cbrt (hypot re im))) (+ 3 1))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) 1 (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (+ im re) (+ re (- +nan.0 (* (/ +nan.0 re) (/ (pow im 2) re)))) (+ re (- +nan.0 (* (/ +nan.0 re) (/ (pow im 2) re)))) (fma (* (pow re 2) 1/3) (cbrt (/ 1 (pow im 4))) (pow im 2/3)) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (fma (* (pow re 2) 1/6) (cbrt (/ 1 (pow im 5))) (cbrt im)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (fma (* (pow re 2) 1/6) (cbrt (/ 1 (pow im 5))) (cbrt im)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 8.986 * * * [progress]: adding candidates to table 9.558 * [progress]: [Phase 3 of 3] Extracting. 9.558 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # #) 9.568 * * * [regime-changes]: Trying 2 branch expressions: (im re) 9.568 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # # # # # # #) 9.691 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # # # # # # #) 9.847 * * * [regime]: Found split indices: #