20.215 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.049 * * * [progress]: [2/2] Setting up program. 0.053 * [progress]: [Phase 2 of 3] Improving. 0.053 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.053 * * [simplify]: iteration 0: 12 enodes 0.055 * * [simplify]: iteration 1: 24 enodes 0.058 * * [simplify]: iteration 2: 30 enodes 0.061 * * [simplify]: iteration 3: 32 enodes 0.064 * * [simplify]: iteration complete: 32 enodes 0.064 * * [simplify]: Extracting #0: cost 1 inf + 0 0.064 * * [simplify]: Extracting #1: cost 3 inf + 0 0.064 * * [simplify]: Extracting #2: cost 3 inf + 1 0.065 * * [simplify]: Extracting #3: cost 9 inf + 1 0.065 * * [simplify]: Extracting #4: cost 8 inf + 6 0.065 * * [simplify]: Extracting #5: cost 3 inf + 45 0.065 * * [simplify]: Extracting #6: cost 1 inf + 51 0.065 * * [simplify]: Extracting #7: cost 0 inf + 57 0.065 * [simplify]: Simplified to: (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0))) 0.070 * * [progress]: iteration 1 / 4 0.070 * * * [progress]: picking best candidate 0.106 * * * * [pick]: Picked # 0.106 * * * [progress]: localizing error 0.121 * * * [progress]: generating rewritten candidates 0.121 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.126 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.132 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 1) 0.133 * * * [progress]: generating series expansions 0.133 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.133 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ (hypot re im) re) 0.133 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 0.133 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 0.133 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.134 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.134 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.134 * [taylor]: Taking taylor expansion of (* re re) in im 0.134 * [taylor]: Taking taylor expansion of re in im 0.134 * [backup-simplify]: Simplify re into re 0.134 * [taylor]: Taking taylor expansion of re in im 0.134 * [backup-simplify]: Simplify re into re 0.134 * [taylor]: Taking taylor expansion of (* im im) in im 0.134 * [taylor]: Taking taylor expansion of im in im 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [taylor]: Taking taylor expansion of im in im 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.134 * [backup-simplify]: Simplify (* 0 0) into 0 0.134 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.134 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.135 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.135 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 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 (+ (hypot re im) re) in re 0.135 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.135 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.135 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.136 * [taylor]: Taking taylor expansion of (* re re) in re 0.136 * [taylor]: Taking taylor expansion of re in re 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [taylor]: Taking taylor expansion of re in re 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [taylor]: Taking taylor expansion of (* im im) in re 0.136 * [taylor]: Taking taylor expansion of im in re 0.136 * [backup-simplify]: Simplify im into im 0.136 * [taylor]: Taking taylor expansion of im in re 0.136 * [backup-simplify]: Simplify im into im 0.136 * [backup-simplify]: Simplify (* 0 0) into 0 0.136 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.136 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.136 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.137 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.137 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.138 * [taylor]: Taking taylor expansion of re in re 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.138 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.138 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.138 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.138 * [taylor]: Taking taylor expansion of (* re re) in re 0.138 * [taylor]: Taking taylor expansion of re in re 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [taylor]: Taking taylor expansion of re in re 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [taylor]: Taking taylor expansion of (* im im) in re 0.138 * [taylor]: Taking taylor expansion of im in re 0.138 * [backup-simplify]: Simplify im into im 0.138 * [taylor]: Taking taylor expansion of im in re 0.138 * [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) 0.139 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.139 * [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 0.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.140 * [taylor]: Taking taylor expansion of re in re 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [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 0.143 * [backup-simplify]: Simplify (+ 1 0) into 1 0.144 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.144 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.144 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.144 * [taylor]: Taking taylor expansion of 1/2 in im 0.144 * [backup-simplify]: Simplify 1/2 into 1/2 0.144 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.144 * [taylor]: Taking taylor expansion of im in im 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.148 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.148 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [taylor]: Taking taylor expansion of 0 in im 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.151 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 0.151 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.151 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.151 * [taylor]: Taking taylor expansion of re in im 0.151 * [backup-simplify]: Simplify re into re 0.151 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.151 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.151 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.151 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.152 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.152 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.152 * [taylor]: Taking taylor expansion of re in im 0.152 * [backup-simplify]: Simplify re into re 0.152 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.152 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.152 * [taylor]: Taking taylor expansion of re in im 0.152 * [backup-simplify]: Simplify re into re 0.152 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.152 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.152 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.152 * [taylor]: Taking taylor expansion of im in im 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.152 * [taylor]: Taking taylor expansion of im in im 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [backup-simplify]: Simplify (* 1 1) into 1 0.154 * [backup-simplify]: Simplify (+ 0 1) into 1 0.154 * [backup-simplify]: Simplify (sqrt 1) into 1 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.157 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.157 * [taylor]: Taking taylor expansion of re in re 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.158 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.158 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.158 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.158 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.158 * [taylor]: Taking taylor expansion of re in re 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.158 * [taylor]: Taking taylor expansion of re in re 0.158 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (/ 1 1) into 1 0.159 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.159 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.159 * [taylor]: Taking taylor expansion of im in re 0.159 * [backup-simplify]: Simplify im into im 0.159 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.159 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.159 * [taylor]: Taking taylor expansion of im in re 0.159 * [backup-simplify]: Simplify im into im 0.159 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.160 * [backup-simplify]: Simplify (* 1 1) into 1 0.160 * [backup-simplify]: Simplify (+ 1 0) into 1 0.160 * [backup-simplify]: Simplify (sqrt 1) into 1 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.164 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.164 * [taylor]: Taking taylor expansion of re in re 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.164 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.164 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.164 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.164 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.164 * [taylor]: Taking taylor expansion of re in re 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.165 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.165 * [taylor]: Taking taylor expansion of re in re 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.165 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.165 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.165 * [taylor]: Taking taylor expansion of im in re 0.165 * [backup-simplify]: Simplify im into im 0.165 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.165 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.165 * [taylor]: Taking taylor expansion of im in re 0.166 * [backup-simplify]: Simplify im into im 0.166 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.166 * [backup-simplify]: Simplify (* 1 1) into 1 0.166 * [backup-simplify]: Simplify (+ 1 0) into 1 0.167 * [backup-simplify]: Simplify (sqrt 1) into 1 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [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 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.173 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.173 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.173 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.174 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.174 * [taylor]: Taking taylor expansion of 1/2 in im 0.174 * [backup-simplify]: Simplify 1/2 into 1/2 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.174 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.174 * [taylor]: Taking taylor expansion of im in im 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (* 1 1) into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.178 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [taylor]: Taking taylor expansion of 0 in im 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 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 (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.181 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 0.181 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.181 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.181 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.181 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.181 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.181 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.181 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.181 * [taylor]: Taking taylor expansion of -1 in im 0.181 * [backup-simplify]: Simplify -1 into -1 0.181 * [taylor]: Taking taylor expansion of re in im 0.181 * [backup-simplify]: Simplify re into re 0.181 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.181 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.181 * [taylor]: Taking taylor expansion of -1 in im 0.181 * [backup-simplify]: Simplify -1 into -1 0.181 * [taylor]: Taking taylor expansion of re in im 0.181 * [backup-simplify]: Simplify re into re 0.181 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.181 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.181 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.181 * [taylor]: Taking taylor expansion of -1 in im 0.181 * [backup-simplify]: Simplify -1 into -1 0.181 * [taylor]: Taking taylor expansion of im in im 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (/ -1 1) into -1 0.181 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.182 * [taylor]: Taking taylor expansion of -1 in im 0.182 * [backup-simplify]: Simplify -1 into -1 0.182 * [taylor]: Taking taylor expansion of im in im 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (/ -1 1) into -1 0.182 * [backup-simplify]: Simplify (* -1 -1) into 1 0.182 * [backup-simplify]: Simplify (+ 0 1) into 1 0.183 * [backup-simplify]: Simplify (sqrt 1) into 1 0.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.185 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.185 * [taylor]: Taking taylor expansion of re in im 0.185 * [backup-simplify]: Simplify re into re 0.185 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.185 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.185 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.185 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.185 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.185 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.185 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.185 * [taylor]: Taking taylor expansion of -1 in re 0.185 * [backup-simplify]: Simplify -1 into -1 0.185 * [taylor]: Taking taylor expansion of re in re 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (/ -1 1) into -1 0.185 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.185 * [taylor]: Taking taylor expansion of -1 in re 0.185 * [backup-simplify]: Simplify -1 into -1 0.185 * [taylor]: Taking taylor expansion of re in re 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (/ -1 1) into -1 0.186 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.186 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.186 * [taylor]: Taking taylor expansion of -1 in re 0.186 * [backup-simplify]: Simplify -1 into -1 0.186 * [taylor]: Taking taylor expansion of im in re 0.186 * [backup-simplify]: Simplify im into im 0.186 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.186 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.186 * [taylor]: Taking taylor expansion of -1 in re 0.186 * [backup-simplify]: Simplify -1 into -1 0.186 * [taylor]: Taking taylor expansion of im in re 0.186 * [backup-simplify]: Simplify im into im 0.186 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.186 * [backup-simplify]: Simplify (* -1 -1) into 1 0.186 * [backup-simplify]: Simplify (+ 1 0) into 1 0.186 * [backup-simplify]: Simplify (sqrt 1) into 1 0.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.189 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.189 * [taylor]: Taking taylor expansion of re in re 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.190 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 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 re 0.190 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.190 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.190 * [taylor]: Taking taylor expansion of -1 in re 0.190 * [backup-simplify]: Simplify -1 into -1 0.190 * [taylor]: Taking taylor expansion of re in re 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (/ -1 1) into -1 0.190 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.190 * [taylor]: Taking taylor expansion of -1 in re 0.190 * [backup-simplify]: Simplify -1 into -1 0.190 * [taylor]: Taking taylor expansion of re in re 0.190 * [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) (/ -1 im)) in re 0.191 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.191 * [taylor]: Taking taylor expansion of -1 in re 0.191 * [backup-simplify]: Simplify -1 into -1 0.191 * [taylor]: Taking taylor expansion of im in re 0.191 * [backup-simplify]: Simplify im into im 0.191 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.191 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.191 * [taylor]: Taking taylor expansion of -1 in re 0.191 * [backup-simplify]: Simplify -1 into -1 0.191 * [taylor]: Taking taylor expansion of im in re 0.191 * [backup-simplify]: Simplify im into im 0.191 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.192 * [backup-simplify]: Simplify (* -1 -1) into 1 0.192 * [backup-simplify]: Simplify (+ 1 0) into 1 0.193 * [backup-simplify]: Simplify (sqrt 1) into 1 0.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.196 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.196 * [taylor]: Taking taylor expansion of re in re 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [backup-simplify]: Simplify (- 1) into -1 0.204 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.204 * [taylor]: Taking taylor expansion of 0 in im 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (- 0) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [taylor]: Taking taylor expansion of 0 in im 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.208 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.209 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.210 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (- 0) into 0 0.211 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.211 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.211 * [taylor]: Taking taylor expansion of 1/2 in im 0.211 * [backup-simplify]: Simplify 1/2 into 1/2 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.212 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.212 * [taylor]: Taking taylor expansion of im in im 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (* 1 1) into 1 0.213 * [backup-simplify]: Simplify (/ 1 1) into 1 0.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.218 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.218 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (- 0) into 0 0.221 * [backup-simplify]: Simplify (+ 0 0) into 0 0.221 * [taylor]: Taking taylor expansion of 0 in im 0.221 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.225 * [backup-simplify]: Simplify (sqrt (* (+ (hypot re im) re) 2.0)) into (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) 0.225 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in (re im) around 0 0.225 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in im 0.225 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.225 * [taylor]: Taking taylor expansion of 2.0 in im 0.225 * [backup-simplify]: Simplify 2.0 into 2.0 0.226 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.226 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im 0.226 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 0.226 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.227 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.227 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.227 * [taylor]: Taking taylor expansion of (* re re) in im 0.227 * [taylor]: Taking taylor expansion of re in im 0.227 * [backup-simplify]: Simplify re into re 0.227 * [taylor]: Taking taylor expansion of re in im 0.227 * [backup-simplify]: Simplify re into re 0.227 * [taylor]: Taking taylor expansion of (* im im) in im 0.227 * [taylor]: Taking taylor expansion of im in im 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of im in im 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.227 * [backup-simplify]: Simplify (* 0 0) into 0 0.227 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.228 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.228 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.228 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.229 * [taylor]: Taking taylor expansion of re in im 0.229 * [backup-simplify]: Simplify re into re 0.229 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.229 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.230 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re 0.230 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.230 * [taylor]: Taking taylor expansion of 2.0 in re 0.230 * [backup-simplify]: Simplify 2.0 into 2.0 0.230 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.231 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 0.231 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.231 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.231 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.231 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.231 * [taylor]: Taking taylor expansion of (* re re) in re 0.231 * [taylor]: Taking taylor expansion of re in re 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [taylor]: Taking taylor expansion of re in re 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [taylor]: Taking taylor expansion of (* im im) in re 0.232 * [taylor]: Taking taylor expansion of im in re 0.232 * [backup-simplify]: Simplify im into im 0.232 * [taylor]: Taking taylor expansion of im in re 0.232 * [backup-simplify]: Simplify im into im 0.232 * [backup-simplify]: Simplify (* 0 0) into 0 0.232 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.232 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.232 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.233 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.233 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.233 * [taylor]: Taking taylor expansion of re in re 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (+ im 0) into im 0.233 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.233 * [backup-simplify]: Simplify (+ 0 1) into 1 0.233 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.233 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re 0.234 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.234 * [taylor]: Taking taylor expansion of 2.0 in re 0.234 * [backup-simplify]: Simplify 2.0 into 2.0 0.234 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.234 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 0.234 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.234 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.234 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.234 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.234 * [taylor]: Taking taylor expansion of (* re re) in re 0.234 * [taylor]: Taking taylor expansion of re in re 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [taylor]: Taking taylor expansion of re in re 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [taylor]: Taking taylor expansion of (* im im) in re 0.234 * [taylor]: Taking taylor expansion of im in re 0.234 * [backup-simplify]: Simplify im into im 0.235 * [taylor]: Taking taylor expansion of im in re 0.235 * [backup-simplify]: Simplify im into im 0.235 * [backup-simplify]: Simplify (* 0 0) into 0 0.235 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.235 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.235 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.235 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.235 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.236 * [taylor]: Taking taylor expansion of re in re 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (+ im 0) into im 0.236 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.236 * [backup-simplify]: Simplify (+ 0 1) into 1 0.236 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.237 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.237 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.237 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.237 * [taylor]: Taking taylor expansion of 2.0 in im 0.237 * [backup-simplify]: Simplify 2.0 into 2.0 0.237 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.237 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.237 * [taylor]: Taking taylor expansion of im in im 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (sqrt 0) into 0 0.239 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.239 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.239 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.239 * [taylor]: Taking taylor expansion of 1/2 in im 0.239 * [backup-simplify]: Simplify 1/2 into 1/2 0.239 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.239 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.239 * [taylor]: Taking taylor expansion of 2.0 in im 0.239 * [backup-simplify]: Simplify 2.0 into 2.0 0.240 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.240 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.240 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.240 * [taylor]: Taking taylor expansion of im in im 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (/ 1 1) into 1 0.241 * [backup-simplify]: Simplify (sqrt 0) into 0 0.241 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.243 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.243 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.245 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.246 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.247 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.248 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.248 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.249 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.249 * [backup-simplify]: Simplify (+ 1 0) into 1 0.249 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.249 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.250 * [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)))) 0.251 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.251 * [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))))) 0.251 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.251 * [taylor]: Taking taylor expansion of 1/8 in im 0.251 * [backup-simplify]: Simplify 1/8 into 1/8 0.251 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.251 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.251 * [taylor]: Taking taylor expansion of 2.0 in im 0.251 * [backup-simplify]: Simplify 2.0 into 2.0 0.251 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.252 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.252 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.252 * [taylor]: Taking taylor expansion of im in im 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (* 1 1) into 1 0.252 * [backup-simplify]: Simplify (* 1 1) into 1 0.253 * [backup-simplify]: Simplify (/ 1 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 (+ (* 1 0) (* 0 1)) into 0 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.257 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.259 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.260 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.260 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.265 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.267 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.272 * [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))))))) 0.272 * [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))))) 0.272 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0 0.272 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 0.272 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.272 * [taylor]: Taking taylor expansion of 2.0 in im 0.272 * [backup-simplify]: Simplify 2.0 into 2.0 0.273 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.273 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.274 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.274 * [taylor]: Taking taylor expansion of re in im 0.274 * [backup-simplify]: Simplify re into re 0.274 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.274 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.274 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.274 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.274 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.274 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.274 * [taylor]: Taking taylor expansion of re in im 0.274 * [backup-simplify]: Simplify re into re 0.274 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.274 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.274 * [taylor]: Taking taylor expansion of re in im 0.274 * [backup-simplify]: Simplify re into re 0.274 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.274 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.274 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.274 * [taylor]: Taking taylor expansion of im in im 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.275 * [taylor]: Taking taylor expansion of im in im 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.276 * [backup-simplify]: Simplify (* 1 1) into 1 0.276 * [backup-simplify]: Simplify (+ 0 1) into 1 0.276 * [backup-simplify]: Simplify (sqrt 1) into 1 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.280 * [backup-simplify]: Simplify (+ 0 1) into 1 0.280 * [backup-simplify]: Simplify (sqrt 0) into 0 0.281 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.282 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 0.282 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.282 * [taylor]: Taking taylor expansion of 2.0 in re 0.282 * [backup-simplify]: Simplify 2.0 into 2.0 0.282 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.283 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.283 * [taylor]: Taking taylor expansion of re in re 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.284 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.284 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.284 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.284 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.284 * [taylor]: Taking taylor expansion of re in re 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.284 * [taylor]: Taking taylor expansion of re in re 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.285 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.285 * [taylor]: Taking taylor expansion of im in re 0.285 * [backup-simplify]: Simplify im into im 0.285 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.285 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.285 * [taylor]: Taking taylor expansion of im in re 0.285 * [backup-simplify]: Simplify im into im 0.285 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.285 * [backup-simplify]: Simplify (* 1 1) into 1 0.286 * [backup-simplify]: Simplify (+ 1 0) into 1 0.286 * [backup-simplify]: Simplify (sqrt 1) into 1 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.290 * [backup-simplify]: Simplify (+ 1 1) into 2 0.290 * [backup-simplify]: Simplify (sqrt 0) into 0 0.292 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.292 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 0.292 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.292 * [taylor]: Taking taylor expansion of 2.0 in re 0.292 * [backup-simplify]: Simplify 2.0 into 2.0 0.292 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.293 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.293 * [taylor]: Taking taylor expansion of re in re 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (/ 1 1) into 1 0.293 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.294 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.294 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.294 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.294 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.294 * [taylor]: Taking taylor expansion of re in re 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 0.294 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.294 * [taylor]: Taking taylor expansion of re in re 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (/ 1 1) into 1 0.295 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.295 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.295 * [taylor]: Taking taylor expansion of im in re 0.295 * [backup-simplify]: Simplify im into im 0.295 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.295 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.295 * [taylor]: Taking taylor expansion of im in re 0.295 * [backup-simplify]: Simplify im into im 0.295 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.295 * [backup-simplify]: Simplify (* 1 1) into 1 0.296 * [backup-simplify]: Simplify (+ 1 0) into 1 0.296 * [backup-simplify]: Simplify (sqrt 1) into 1 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.300 * [backup-simplify]: Simplify (+ 1 1) into 2 0.300 * [backup-simplify]: Simplify (sqrt 0) into 0 0.301 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.302 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.302 * [taylor]: Taking taylor expansion of 0 in im 0.302 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.304 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.304 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.304 * [taylor]: Taking taylor expansion of +nan.0 in im 0.304 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.304 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.304 * [taylor]: Taking taylor expansion of 2.0 in im 0.304 * [backup-simplify]: Simplify 2.0 into 2.0 0.304 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.310 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.313 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.313 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.313 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.313 * [taylor]: Taking taylor expansion of +nan.0 in im 0.313 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.313 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.313 * [taylor]: Taking taylor expansion of 2.0 in im 0.313 * [backup-simplify]: Simplify 2.0 into 2.0 0.314 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.316 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.317 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.319 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.319 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.322 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.323 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.324 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.324 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.326 * [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)) 0.331 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.333 * [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)))))) 0.333 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.333 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.333 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.333 * [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 0.337 * [backup-simplify]: Simplify (* 1 1) into 1 0.338 * [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 0.341 * [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 0.348 * [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 0.350 * [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 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.353 * [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))) 0.356 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.357 * [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)))))) 0.357 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.357 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.357 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.357 * [taylor]: Taking taylor expansion of +nan.0 in im 0.357 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.357 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.357 * [taylor]: Taking taylor expansion of 2.0 in im 0.357 * [backup-simplify]: Simplify 2.0 into 2.0 0.357 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.358 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.358 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) 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) (pow im 2)) in im 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 0.358 * [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 (pow im 2) in im 0.359 * [taylor]: Taking taylor expansion of im in im 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (* 1 1) into 1 0.359 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify (- 0) into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.363 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.365 * [backup-simplify]: Simplify (- 0) into 0 0.366 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.367 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.368 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.371 * [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)))))))) 0.371 * [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)))) 0.371 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.371 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.371 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.371 * [taylor]: Taking taylor expansion of 2.0 in im 0.371 * [backup-simplify]: Simplify 2.0 into 2.0 0.372 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.372 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.372 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.372 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.372 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.372 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.372 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.372 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.372 * [taylor]: Taking taylor expansion of -1 in im 0.372 * [backup-simplify]: Simplify -1 into -1 0.372 * [taylor]: Taking taylor expansion of re in im 0.372 * [backup-simplify]: Simplify re into re 0.372 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.372 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.372 * [taylor]: Taking taylor expansion of -1 in im 0.372 * [backup-simplify]: Simplify -1 into -1 0.372 * [taylor]: Taking taylor expansion of re in im 0.372 * [backup-simplify]: Simplify re into re 0.373 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.373 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.373 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.373 * [taylor]: Taking taylor expansion of -1 in im 0.373 * [backup-simplify]: Simplify -1 into -1 0.373 * [taylor]: Taking taylor expansion of im in im 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (/ -1 1) into -1 0.373 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.373 * [taylor]: Taking taylor expansion of -1 in im 0.373 * [backup-simplify]: Simplify -1 into -1 0.373 * [taylor]: Taking taylor expansion of im in im 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (/ -1 1) into -1 0.373 * [backup-simplify]: Simplify (* -1 -1) into 1 0.374 * [backup-simplify]: Simplify (+ 0 1) into 1 0.374 * [backup-simplify]: Simplify (sqrt 1) into 1 0.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.376 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.376 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.376 * [taylor]: Taking taylor expansion of re in im 0.376 * [backup-simplify]: Simplify re into re 0.376 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.376 * [backup-simplify]: Simplify (+ 1 0) into 1 0.377 * [backup-simplify]: Simplify (sqrt 0) into 0 0.377 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.378 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.378 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.378 * [taylor]: Taking taylor expansion of 2.0 in re 0.378 * [backup-simplify]: Simplify 2.0 into 2.0 0.378 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.378 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.378 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.378 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.378 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.378 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.378 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.378 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.379 * [taylor]: Taking taylor expansion of -1 in re 0.379 * [backup-simplify]: Simplify -1 into -1 0.379 * [taylor]: Taking taylor expansion of re in re 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (/ -1 1) into -1 0.379 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.379 * [taylor]: Taking taylor expansion of -1 in re 0.379 * [backup-simplify]: Simplify -1 into -1 0.379 * [taylor]: Taking taylor expansion of re in re 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (/ -1 1) into -1 0.379 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.379 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.379 * [taylor]: Taking taylor expansion of -1 in re 0.379 * [backup-simplify]: Simplify -1 into -1 0.379 * [taylor]: Taking taylor expansion of im in re 0.379 * [backup-simplify]: Simplify im into im 0.379 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.379 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.379 * [taylor]: Taking taylor expansion of -1 in re 0.379 * [backup-simplify]: Simplify -1 into -1 0.379 * [taylor]: Taking taylor expansion of im in re 0.379 * [backup-simplify]: Simplify im into im 0.380 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.380 * [backup-simplify]: Simplify (* -1 -1) into 1 0.380 * [backup-simplify]: Simplify (+ 1 0) into 1 0.380 * [backup-simplify]: Simplify (sqrt 1) into 1 0.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.382 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.382 * [taylor]: Taking taylor expansion of re in re 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (/ 1 1) into 1 0.383 * [backup-simplify]: Simplify (- 1) into -1 0.383 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (- 0) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.386 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.386 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.387 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (- 0) into 0 0.388 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.388 * [backup-simplify]: Simplify (sqrt 0) into 0 0.388 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.388 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.388 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.388 * [taylor]: Taking taylor expansion of 2.0 in re 0.389 * [backup-simplify]: Simplify 2.0 into 2.0 0.389 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.390 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.390 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.390 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.390 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.390 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.390 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.390 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.390 * [taylor]: Taking taylor expansion of -1 in re 0.390 * [backup-simplify]: Simplify -1 into -1 0.390 * [taylor]: Taking taylor expansion of re in re 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (/ -1 1) into -1 0.391 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.391 * [taylor]: Taking taylor expansion of -1 in re 0.391 * [backup-simplify]: Simplify -1 into -1 0.391 * [taylor]: Taking taylor expansion of re in re 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (/ -1 1) into -1 0.391 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.391 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.391 * [taylor]: Taking taylor expansion of -1 in re 0.391 * [backup-simplify]: Simplify -1 into -1 0.391 * [taylor]: Taking taylor expansion of im in re 0.391 * [backup-simplify]: Simplify im into im 0.391 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.391 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.391 * [taylor]: Taking taylor expansion of -1 in re 0.391 * [backup-simplify]: Simplify -1 into -1 0.391 * [taylor]: Taking taylor expansion of im in re 0.391 * [backup-simplify]: Simplify im into im 0.392 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.392 * [backup-simplify]: Simplify (* -1 -1) into 1 0.392 * [backup-simplify]: Simplify (+ 1 0) into 1 0.393 * [backup-simplify]: Simplify (sqrt 1) into 1 0.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.396 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.397 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.397 * [taylor]: Taking taylor expansion of re in re 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 1 into 1 0.397 * [backup-simplify]: Simplify (/ 1 1) into 1 0.397 * [backup-simplify]: Simplify (- 1) into -1 0.398 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (- 0) into 0 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.402 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.403 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.404 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (- 0) into 0 0.405 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.406 * [backup-simplify]: Simplify (sqrt 0) into 0 0.407 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.407 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.407 * [taylor]: Taking taylor expansion of 0 in im 0.407 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.408 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.408 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.408 * [taylor]: Taking taylor expansion of +nan.0 in im 0.408 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.408 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.408 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.408 * [taylor]: Taking taylor expansion of 2.0 in im 0.408 * [backup-simplify]: Simplify 2.0 into 2.0 0.409 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.410 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.410 * [taylor]: Taking taylor expansion of im in im 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (* 1 1) into 1 0.411 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.414 * [backup-simplify]: Simplify (- 0) into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.417 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.417 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.417 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (- 0) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.420 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.421 * [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)))) 0.421 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.421 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.421 * [taylor]: Taking taylor expansion of +nan.0 in im 0.421 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.421 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.421 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.421 * [taylor]: Taking taylor expansion of 2.0 in im 0.421 * [backup-simplify]: Simplify 2.0 into 2.0 0.421 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.421 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.421 * [taylor]: Taking taylor expansion of im in im 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (* 1 1) into 1 0.422 * [backup-simplify]: Simplify (* 1 1) into 1 0.422 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.423 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.424 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.429 * [backup-simplify]: Simplify (- 0) into 0 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.432 * [backup-simplify]: Simplify (- 0) into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.434 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.434 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.435 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 0.435 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (- 0) into 0 0.437 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.437 * [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))))) 0.440 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.441 * [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)))))) 0.441 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.441 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.441 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.441 * [taylor]: Taking taylor expansion of +nan.0 in im 0.441 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.441 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.441 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.441 * [taylor]: Taking taylor expansion of 2.0 in im 0.441 * [backup-simplify]: Simplify 2.0 into 2.0 0.441 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.442 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.442 * [taylor]: Taking taylor expansion of im in im 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (* 1 1) into 1 0.442 * [backup-simplify]: Simplify (* 1 1) into 1 0.443 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.443 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.443 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.443 * [taylor]: Taking taylor expansion of +nan.0 in im 0.443 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.443 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.443 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.443 * [taylor]: Taking taylor expansion of 2.0 in im 0.443 * [backup-simplify]: Simplify 2.0 into 2.0 0.444 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.444 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.444 * [taylor]: Taking taylor expansion of im in im 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (* 1 1) into 1 0.445 * [backup-simplify]: Simplify (* 1 1) into 1 0.445 * [backup-simplify]: Simplify (* 1 1) into 1 0.446 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.448 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.449 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.461 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.462 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.464 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 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 0.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.488 * [backup-simplify]: Simplify (- 0) into 0 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.489 * [backup-simplify]: Simplify (- 0) into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 1) 0.489 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.489 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.489 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.489 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.489 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.489 * [taylor]: Taking taylor expansion of (* re re) in im 0.490 * [taylor]: Taking taylor expansion of re in im 0.490 * [backup-simplify]: Simplify re into re 0.490 * [taylor]: Taking taylor expansion of re in im 0.490 * [backup-simplify]: Simplify re into re 0.490 * [taylor]: Taking taylor expansion of (* im im) in im 0.490 * [taylor]: Taking taylor expansion of im in im 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [taylor]: Taking taylor expansion of im in im 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.490 * [backup-simplify]: Simplify (* 0 0) into 0 0.490 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.491 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.491 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.491 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.492 * [backup-simplify]: Simplify (+ 0 0) into 0 0.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.492 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.492 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.492 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.492 * [taylor]: Taking taylor expansion of (* re re) in re 0.492 * [taylor]: Taking taylor expansion of re in re 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [taylor]: Taking taylor expansion of re in re 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [taylor]: Taking taylor expansion of (* im im) in re 0.492 * [taylor]: Taking taylor expansion of im in re 0.492 * [backup-simplify]: Simplify im into im 0.493 * [taylor]: Taking taylor expansion of im in re 0.493 * [backup-simplify]: Simplify im into im 0.493 * [backup-simplify]: Simplify (* 0 0) into 0 0.493 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.494 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.494 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.495 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.495 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.495 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.495 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.496 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.496 * [taylor]: Taking taylor expansion of (* re re) in re 0.496 * [taylor]: Taking taylor expansion of re in re 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [taylor]: Taking taylor expansion of re in re 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [taylor]: Taking taylor expansion of (* im im) in re 0.496 * [taylor]: Taking taylor expansion of im in re 0.496 * [backup-simplify]: Simplify im into im 0.496 * [taylor]: Taking taylor expansion of im in re 0.496 * [backup-simplify]: Simplify im into im 0.496 * [backup-simplify]: Simplify (* 0 0) into 0 0.496 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.496 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.497 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.497 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.497 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.498 * [taylor]: Taking taylor expansion of im in im 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [taylor]: Taking taylor expansion of 0 in im 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.499 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.500 * [backup-simplify]: Simplify (+ 1 0) into 1 0.501 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.501 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.501 * [taylor]: Taking taylor expansion of 1/2 in im 0.501 * [backup-simplify]: Simplify 1/2 into 1/2 0.501 * [taylor]: Taking taylor expansion of im in im 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.504 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.505 * [backup-simplify]: Simplify (+ 0 0) into 0 0.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.505 * [taylor]: Taking taylor expansion of 0 in im 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.506 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.506 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.506 * [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 0.507 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.507 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.507 * [taylor]: Taking taylor expansion of re in im 0.507 * [backup-simplify]: Simplify re into re 0.507 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.507 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.507 * [taylor]: Taking taylor expansion of re in im 0.507 * [backup-simplify]: Simplify re into re 0.507 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.507 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.507 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.507 * [taylor]: Taking taylor expansion of im in im 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.507 * [backup-simplify]: Simplify (/ 1 1) into 1 0.507 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.507 * [taylor]: Taking taylor expansion of im in im 0.507 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (/ 1 1) into 1 0.508 * [backup-simplify]: Simplify (* 1 1) into 1 0.509 * [backup-simplify]: Simplify (+ 0 1) into 1 0.509 * [backup-simplify]: Simplify (sqrt 1) into 1 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.512 * [backup-simplify]: Simplify (+ 0 0) into 0 0.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.512 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.513 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.513 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.513 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.513 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.513 * [taylor]: Taking taylor expansion of re in re 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.513 * [backup-simplify]: Simplify (/ 1 1) into 1 0.513 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.513 * [taylor]: Taking taylor expansion of re in re 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify (/ 1 1) into 1 0.514 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.514 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.514 * [taylor]: Taking taylor expansion of im in re 0.514 * [backup-simplify]: Simplify im into im 0.514 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.514 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.514 * [taylor]: Taking taylor expansion of im in re 0.514 * [backup-simplify]: Simplify im into im 0.514 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.514 * [backup-simplify]: Simplify (* 1 1) into 1 0.515 * [backup-simplify]: Simplify (+ 1 0) into 1 0.515 * [backup-simplify]: Simplify (sqrt 1) into 1 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.518 * [backup-simplify]: Simplify (+ 0 0) into 0 0.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.518 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.519 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.519 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.519 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.519 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.519 * [taylor]: Taking taylor expansion of re in re 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [backup-simplify]: Simplify (/ 1 1) into 1 0.519 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.519 * [taylor]: Taking taylor expansion of re in re 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [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 0.520 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.520 * [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 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.524 * [taylor]: Taking taylor expansion of 1 in im 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [taylor]: Taking taylor expansion of 0 in im 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.528 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.528 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.529 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.529 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.529 * [taylor]: Taking taylor expansion of 1/2 in im 0.529 * [backup-simplify]: Simplify 1/2 into 1/2 0.529 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.529 * [taylor]: Taking taylor expansion of im in im 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 1 into 1 0.530 * [backup-simplify]: Simplify (* 1 1) into 1 0.530 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.535 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.536 * [backup-simplify]: Simplify (+ 0 0) into 0 0.536 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.536 * [taylor]: Taking taylor expansion of 0 in im 0.536 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.539 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.539 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.539 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.539 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.539 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.539 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.539 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.539 * [taylor]: Taking taylor expansion of -1 in im 0.539 * [backup-simplify]: Simplify -1 into -1 0.539 * [taylor]: Taking taylor expansion of re in im 0.539 * [backup-simplify]: Simplify re into re 0.539 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.539 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.539 * [taylor]: Taking taylor expansion of -1 in im 0.539 * [backup-simplify]: Simplify -1 into -1 0.539 * [taylor]: Taking taylor expansion of re in im 0.539 * [backup-simplify]: Simplify re into re 0.540 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.540 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.540 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.540 * [taylor]: Taking taylor expansion of -1 in im 0.540 * [backup-simplify]: Simplify -1 into -1 0.540 * [taylor]: Taking taylor expansion of im in im 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (/ -1 1) into -1 0.540 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.540 * [taylor]: Taking taylor expansion of -1 in im 0.540 * [backup-simplify]: Simplify -1 into -1 0.540 * [taylor]: Taking taylor expansion of im in im 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.541 * [backup-simplify]: Simplify (/ -1 1) into -1 0.541 * [backup-simplify]: Simplify (* -1 -1) into 1 0.542 * [backup-simplify]: Simplify (+ 0 1) into 1 0.542 * [backup-simplify]: Simplify (sqrt 1) into 1 0.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.544 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.544 * [backup-simplify]: Simplify (+ 0 0) into 0 0.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.545 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.545 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.545 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.545 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.545 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.545 * [taylor]: Taking taylor expansion of -1 in re 0.545 * [backup-simplify]: Simplify -1 into -1 0.545 * [taylor]: Taking taylor expansion of re in re 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.545 * [backup-simplify]: Simplify (/ -1 1) into -1 0.545 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.545 * [taylor]: Taking taylor expansion of -1 in re 0.545 * [backup-simplify]: Simplify -1 into -1 0.545 * [taylor]: Taking taylor expansion of re in re 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.546 * [backup-simplify]: Simplify (/ -1 1) into -1 0.546 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.546 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.546 * [taylor]: Taking taylor expansion of -1 in re 0.546 * [backup-simplify]: Simplify -1 into -1 0.546 * [taylor]: Taking taylor expansion of im in re 0.546 * [backup-simplify]: Simplify im into im 0.546 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.546 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.546 * [taylor]: Taking taylor expansion of -1 in re 0.546 * [backup-simplify]: Simplify -1 into -1 0.546 * [taylor]: Taking taylor expansion of im in re 0.546 * [backup-simplify]: Simplify im into im 0.546 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.546 * [backup-simplify]: Simplify (* -1 -1) into 1 0.546 * [backup-simplify]: Simplify (+ 1 0) into 1 0.547 * [backup-simplify]: Simplify (sqrt 1) into 1 0.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.548 * [backup-simplify]: Simplify (+ 0 0) into 0 0.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.549 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.549 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.549 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.549 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.549 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.549 * [taylor]: Taking taylor expansion of -1 in re 0.549 * [backup-simplify]: Simplify -1 into -1 0.549 * [taylor]: Taking taylor expansion of re in re 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.549 * [backup-simplify]: Simplify (/ -1 1) into -1 0.549 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.549 * [taylor]: Taking taylor expansion of -1 in re 0.549 * [backup-simplify]: Simplify -1 into -1 0.549 * [taylor]: Taking taylor expansion of re in re 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.550 * [backup-simplify]: Simplify (/ -1 1) into -1 0.550 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.550 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.550 * [taylor]: Taking taylor expansion of -1 in re 0.550 * [backup-simplify]: Simplify -1 into -1 0.550 * [taylor]: Taking taylor expansion of im in re 0.550 * [backup-simplify]: Simplify im into im 0.550 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.550 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.550 * [taylor]: Taking taylor expansion of -1 in re 0.550 * [backup-simplify]: Simplify -1 into -1 0.550 * [taylor]: Taking taylor expansion of im in re 0.550 * [backup-simplify]: Simplify im into im 0.550 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.550 * [backup-simplify]: Simplify (* -1 -1) into 1 0.550 * [backup-simplify]: Simplify (+ 1 0) into 1 0.551 * [backup-simplify]: Simplify (sqrt 1) into 1 0.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.552 * [backup-simplify]: Simplify (+ 0 0) into 0 0.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.553 * [taylor]: Taking taylor expansion of 1 in im 0.553 * [backup-simplify]: Simplify 1 into 1 0.553 * [taylor]: Taking taylor expansion of 0 in im 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 1 into 1 0.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.555 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.555 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.556 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.556 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.556 * [taylor]: Taking taylor expansion of 1/2 in im 0.556 * [backup-simplify]: Simplify 1/2 into 1/2 0.556 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.556 * [taylor]: Taking taylor expansion of im in im 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (* 1 1) into 1 0.556 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.559 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.559 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.559 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.560 * [backup-simplify]: Simplify (+ 0 0) into 0 0.560 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.560 * [taylor]: Taking taylor expansion of 0 in im 0.560 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.561 * * * [progress]: simplifying candidates 0.562 * [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) 0.563 * * [simplify]: iteration 0: 86 enodes 0.580 * * [simplify]: iteration 1: 187 enodes 0.670 * * [simplify]: iteration 2: 612 enodes 1.314 * * [simplify]: iteration 3: 3673 enodes 2.442 * * [simplify]: iteration complete: 5000 enodes 2.443 * * [simplify]: Extracting #0: cost 44 inf + 0 2.446 * * [simplify]: Extracting #1: cost 428 inf + 9 2.461 * * [simplify]: Extracting #2: cost 1049 inf + 1193 2.471 * * [simplify]: Extracting #3: cost 280 inf + 7718 2.481 * * [simplify]: Extracting #4: cost 10 inf + 9894 2.492 * * [simplify]: Extracting #5: cost 0 inf + 9970 2.504 * * [simplify]: Extracting #6: cost 0 inf + 9969 2.515 * [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) 2.516 * * * [progress]: adding candidates to table 2.820 * * [progress]: iteration 2 / 4 2.820 * * * [progress]: picking best candidate 2.865 * * * * [pick]: Picked # 2.865 * * * [progress]: localizing error 2.910 * * * [progress]: generating rewritten candidates 2.910 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2 1) 2.920 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2 1) 2.929 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 1) 2.938 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2) 2.947 * * * [progress]: generating series expansions 2.947 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2 1) 2.947 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ (hypot re im) re) 2.947 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 2.947 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 2.947 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.948 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.948 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.948 * [taylor]: Taking taylor expansion of (* re re) in im 2.948 * [taylor]: Taking taylor expansion of re in im 2.948 * [backup-simplify]: Simplify re into re 2.948 * [taylor]: Taking taylor expansion of re in im 2.948 * [backup-simplify]: Simplify re into re 2.948 * [taylor]: Taking taylor expansion of (* im im) in im 2.948 * [taylor]: Taking taylor expansion of im in im 2.948 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify 1 into 1 2.948 * [taylor]: Taking taylor expansion of im in im 2.948 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify 1 into 1 2.948 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.949 * [backup-simplify]: Simplify (* 0 0) into 0 2.949 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.949 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.949 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.950 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.950 * [backup-simplify]: Simplify (+ 0 0) into 0 2.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.951 * [taylor]: Taking taylor expansion of re in im 2.951 * [backup-simplify]: Simplify re into re 2.951 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 2.951 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.951 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.951 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.951 * [taylor]: Taking taylor expansion of (* re re) in re 2.951 * [taylor]: Taking taylor expansion of re in re 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify 1 into 1 2.951 * [taylor]: Taking taylor expansion of re in re 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify 1 into 1 2.951 * [taylor]: Taking taylor expansion of (* im im) in re 2.951 * [taylor]: Taking taylor expansion of im in re 2.951 * [backup-simplify]: Simplify im into im 2.951 * [taylor]: Taking taylor expansion of im in re 2.951 * [backup-simplify]: Simplify im into im 2.952 * [backup-simplify]: Simplify (* 0 0) into 0 2.952 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.952 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.952 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.953 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.953 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.953 * [backup-simplify]: Simplify (+ 0 0) into 0 2.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.953 * [taylor]: Taking taylor expansion of re in re 2.954 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify 1 into 1 2.954 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 2.954 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.954 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.954 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.954 * [taylor]: Taking taylor expansion of (* re re) in re 2.954 * [taylor]: Taking taylor expansion of re in re 2.954 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify 1 into 1 2.954 * [taylor]: Taking taylor expansion of re in re 2.954 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify 1 into 1 2.954 * [taylor]: Taking taylor expansion of (* im im) in re 2.954 * [taylor]: Taking taylor expansion of im in re 2.954 * [backup-simplify]: Simplify im into im 2.954 * [taylor]: Taking taylor expansion of im in re 2.954 * [backup-simplify]: Simplify im into im 2.954 * [backup-simplify]: Simplify (* 0 0) into 0 2.955 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.955 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.955 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.956 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.956 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.956 * [backup-simplify]: Simplify (+ 0 0) into 0 2.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.956 * [taylor]: Taking taylor expansion of re in re 2.956 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify 1 into 1 2.956 * [backup-simplify]: Simplify (+ im 0) into im 2.956 * [taylor]: Taking taylor expansion of im in im 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify 1 into 1 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify (+ 0 1) into 1 2.957 * [taylor]: Taking taylor expansion of 1 in im 2.957 * [backup-simplify]: Simplify 1 into 1 2.957 * [backup-simplify]: Simplify 1 into 1 2.957 * [backup-simplify]: Simplify 1 into 1 2.958 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.959 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.959 * [backup-simplify]: Simplify (+ 1 0) into 1 2.960 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.960 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 2.960 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.960 * [taylor]: Taking taylor expansion of 1/2 in im 2.960 * [backup-simplify]: Simplify 1/2 into 1/2 2.960 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.960 * [taylor]: Taking taylor expansion of im in im 2.960 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify 1 into 1 2.961 * [backup-simplify]: Simplify (/ 1 1) into 1 2.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.962 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.964 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.965 * [backup-simplify]: Simplify (+ 0 0) into 0 2.965 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.965 * [backup-simplify]: Simplify (+ 0 0) into 0 2.965 * [taylor]: Taking taylor expansion of 0 in im 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.967 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 2.968 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 2.968 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 2.968 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.968 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.968 * [taylor]: Taking taylor expansion of re in im 2.968 * [backup-simplify]: Simplify re into re 2.968 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.968 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.968 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.968 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.968 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.968 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.968 * [taylor]: Taking taylor expansion of re in im 2.968 * [backup-simplify]: Simplify re into re 2.968 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.968 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.968 * [taylor]: Taking taylor expansion of re in im 2.968 * [backup-simplify]: Simplify re into re 2.969 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.969 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.969 * [taylor]: Taking taylor expansion of (/ 1 im) 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 2.969 * [taylor]: Taking taylor expansion of (/ 1 im) 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 2.970 * [backup-simplify]: Simplify (/ 1 1) into 1 2.970 * [backup-simplify]: Simplify (* 1 1) into 1 2.971 * [backup-simplify]: Simplify (+ 0 1) into 1 2.971 * [backup-simplify]: Simplify (sqrt 1) into 1 2.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.973 * [backup-simplify]: Simplify (+ 0 0) into 0 2.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.973 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.973 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.973 * [taylor]: Taking taylor expansion of re in re 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.974 * [backup-simplify]: Simplify (/ 1 1) into 1 2.974 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.974 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.974 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.974 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.974 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.974 * [taylor]: Taking taylor expansion of re in re 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 1 into 1 2.974 * [backup-simplify]: Simplify (/ 1 1) into 1 2.974 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.974 * [taylor]: Taking taylor expansion of re in re 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 1 into 1 2.974 * [backup-simplify]: Simplify (/ 1 1) into 1 2.974 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.974 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.974 * [taylor]: Taking taylor expansion of im in re 2.974 * [backup-simplify]: Simplify im into im 2.974 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.974 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.974 * [taylor]: Taking taylor expansion of im in re 2.974 * [backup-simplify]: Simplify im into im 2.975 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.975 * [backup-simplify]: Simplify (* 1 1) into 1 2.975 * [backup-simplify]: Simplify (+ 1 0) into 1 2.975 * [backup-simplify]: Simplify (sqrt 1) into 1 2.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.977 * [backup-simplify]: Simplify (+ 0 0) into 0 2.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.977 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.977 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.977 * [taylor]: Taking taylor expansion of re in re 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify 1 into 1 2.977 * [backup-simplify]: Simplify (/ 1 1) into 1 2.977 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.978 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.978 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.978 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.978 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.978 * [taylor]: Taking taylor expansion of re in re 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify 1 into 1 2.978 * [backup-simplify]: Simplify (/ 1 1) into 1 2.978 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.978 * [taylor]: Taking taylor expansion of re in re 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify 1 into 1 2.978 * [backup-simplify]: Simplify (/ 1 1) into 1 2.978 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.978 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.978 * [taylor]: Taking taylor expansion of im in re 2.978 * [backup-simplify]: Simplify im into im 2.978 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.978 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.978 * [taylor]: Taking taylor expansion of im in re 2.978 * [backup-simplify]: Simplify im into im 2.978 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.979 * [backup-simplify]: Simplify (* 1 1) into 1 2.979 * [backup-simplify]: Simplify (+ 1 0) into 1 2.979 * [backup-simplify]: Simplify (sqrt 1) into 1 2.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.981 * [backup-simplify]: Simplify (+ 0 0) into 0 2.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.981 * [backup-simplify]: Simplify (+ 1 1) into 2 2.981 * [taylor]: Taking taylor expansion of 2 in im 2.981 * [backup-simplify]: Simplify 2 into 2 2.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.982 * [backup-simplify]: Simplify (+ 0 0) into 0 2.982 * [taylor]: Taking taylor expansion of 0 in im 2.982 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify 2 into 2 2.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.984 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 2.984 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.985 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.985 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.985 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.985 * [taylor]: Taking taylor expansion of 1/2 in im 2.985 * [backup-simplify]: Simplify 1/2 into 1/2 2.985 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.985 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.985 * [taylor]: Taking taylor expansion of im in im 2.985 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify 1 into 1 2.986 * [backup-simplify]: Simplify (* 1 1) into 1 2.986 * [backup-simplify]: Simplify (/ 1 1) into 1 2.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.987 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.987 * [backup-simplify]: Simplify 0 into 0 2.987 * [backup-simplify]: Simplify 0 into 0 2.987 * [backup-simplify]: Simplify 0 into 0 2.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.990 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 2.990 * [backup-simplify]: Simplify (+ 0 0) into 0 2.990 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.991 * [backup-simplify]: Simplify (+ 0 0) into 0 2.991 * [taylor]: Taking taylor expansion of 0 in im 2.991 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.992 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.992 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 2.993 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 2.993 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.993 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.993 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.993 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.993 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.993 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.993 * [taylor]: Taking taylor expansion of (/ -1 re) 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 re in im 2.993 * [backup-simplify]: Simplify re into re 2.993 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.993 * [taylor]: Taking taylor expansion of (/ -1 re) 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 re in im 2.993 * [backup-simplify]: Simplify re into re 2.993 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.993 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 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 2.993 * [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 2.994 * [taylor]: Taking taylor expansion of im in im 2.994 * [backup-simplify]: Simplify 0 into 0 2.994 * [backup-simplify]: Simplify 1 into 1 2.994 * [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 2.995 * [backup-simplify]: Simplify (sqrt 1) into 1 2.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.996 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.996 * [backup-simplify]: Simplify (+ 0 0) into 0 2.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.997 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.997 * [taylor]: Taking taylor expansion of re in im 2.997 * [backup-simplify]: Simplify re into re 2.997 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.997 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.997 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.997 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.997 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.997 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.997 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.997 * [taylor]: Taking taylor expansion of -1 in re 2.997 * [backup-simplify]: Simplify -1 into -1 2.997 * [taylor]: Taking taylor expansion of re in re 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify 1 into 1 2.997 * [backup-simplify]: Simplify (/ -1 1) into -1 2.997 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.997 * [taylor]: Taking taylor expansion of -1 in re 2.997 * [backup-simplify]: Simplify -1 into -1 2.997 * [taylor]: Taking taylor expansion of re in re 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify 1 into 1 2.998 * [backup-simplify]: Simplify (/ -1 1) into -1 2.998 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.998 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.998 * [taylor]: Taking taylor expansion of -1 in re 2.998 * [backup-simplify]: Simplify -1 into -1 2.998 * [taylor]: Taking taylor expansion of im in re 2.998 * [backup-simplify]: Simplify im into im 2.998 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.998 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.998 * [taylor]: Taking taylor expansion of -1 in re 2.998 * [backup-simplify]: Simplify -1 into -1 2.998 * [taylor]: Taking taylor expansion of im in re 2.998 * [backup-simplify]: Simplify im into im 2.998 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.998 * [backup-simplify]: Simplify (* -1 -1) into 1 2.998 * [backup-simplify]: Simplify (+ 1 0) into 1 2.999 * [backup-simplify]: Simplify (sqrt 1) into 1 2.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.000 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.000 * [backup-simplify]: Simplify (+ 0 0) into 0 3.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.001 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.001 * [taylor]: Taking taylor expansion of re in re 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify 1 into 1 3.001 * [backup-simplify]: Simplify (/ 1 1) into 1 3.001 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 3.001 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.001 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.001 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.001 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.001 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.001 * [taylor]: Taking taylor expansion of -1 in re 3.001 * [backup-simplify]: Simplify -1 into -1 3.001 * [taylor]: Taking taylor expansion of re in re 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify 1 into 1 3.001 * [backup-simplify]: Simplify (/ -1 1) into -1 3.001 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.001 * [taylor]: Taking taylor expansion of -1 in re 3.001 * [backup-simplify]: Simplify -1 into -1 3.001 * [taylor]: Taking taylor expansion of re in re 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify 1 into 1 3.002 * [backup-simplify]: Simplify (/ -1 1) into -1 3.002 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.002 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.002 * [taylor]: Taking taylor expansion of -1 in re 3.002 * [backup-simplify]: Simplify -1 into -1 3.002 * [taylor]: Taking taylor expansion of im in re 3.002 * [backup-simplify]: Simplify im into im 3.002 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.002 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.002 * [taylor]: Taking taylor expansion of -1 in re 3.002 * [backup-simplify]: Simplify -1 into -1 3.002 * [taylor]: Taking taylor expansion of im in re 3.002 * [backup-simplify]: Simplify im into im 3.002 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.002 * [backup-simplify]: Simplify (* -1 -1) into 1 3.002 * [backup-simplify]: Simplify (+ 1 0) into 1 3.003 * [backup-simplify]: Simplify (sqrt 1) into 1 3.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.004 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.004 * [backup-simplify]: Simplify (+ 0 0) into 0 3.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.005 * [taylor]: Taking taylor expansion of (/ 1 re) in re 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 * [backup-simplify]: Simplify (- 1) into -1 3.005 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.005 * [taylor]: Taking taylor expansion of 0 in im 3.006 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.006 * [backup-simplify]: Simplify (- 0) into 0 3.006 * [backup-simplify]: Simplify (+ 0 0) into 0 3.006 * [taylor]: Taking taylor expansion of 0 in im 3.006 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.008 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.008 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 3.008 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.011 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.012 * [backup-simplify]: Simplify (- 0) into 0 3.012 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.012 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.012 * [taylor]: Taking taylor expansion of 1/2 in im 3.012 * [backup-simplify]: Simplify 1/2 into 1/2 3.012 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.012 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.012 * [taylor]: Taking taylor expansion of im in im 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify 1 into 1 3.013 * [backup-simplify]: Simplify (* 1 1) into 1 3.013 * [backup-simplify]: Simplify (/ 1 1) into 1 3.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.014 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.014 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify 0 into 0 3.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.016 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.016 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 3.016 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 3.016 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 3.017 * [backup-simplify]: Simplify (+ 0 0) into 0 3.017 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.018 * [backup-simplify]: Simplify (- 0) into 0 3.018 * [backup-simplify]: Simplify (+ 0 0) into 0 3.018 * [taylor]: Taking taylor expansion of 0 in im 3.018 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.020 * [backup-simplify]: Simplify 0 into 0 3.020 * [backup-simplify]: Simplify 0 into 0 3.020 * [backup-simplify]: Simplify 0 into 0 3.020 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2 1) 3.020 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ (hypot re im) re) 3.020 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 3.020 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 3.020 * [taylor]: Taking taylor expansion of (hypot re im) in im 3.020 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.020 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 3.020 * [taylor]: Taking taylor expansion of (* re re) in im 3.020 * [taylor]: Taking taylor expansion of re in im 3.020 * [backup-simplify]: Simplify re into re 3.020 * [taylor]: Taking taylor expansion of re in im 3.020 * [backup-simplify]: Simplify re into re 3.020 * [taylor]: Taking taylor expansion of (* im im) in im 3.020 * [taylor]: Taking taylor expansion of im in im 3.020 * [backup-simplify]: Simplify 0 into 0 3.020 * [backup-simplify]: Simplify 1 into 1 3.020 * [taylor]: Taking taylor expansion of im in im 3.020 * [backup-simplify]: Simplify 0 into 0 3.020 * [backup-simplify]: Simplify 1 into 1 3.020 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.021 * [backup-simplify]: Simplify (* 0 0) into 0 3.021 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.021 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.021 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.021 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.021 * [backup-simplify]: Simplify (+ 0 0) into 0 3.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.022 * [taylor]: Taking taylor expansion of re in im 3.022 * [backup-simplify]: Simplify re into re 3.022 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 3.022 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.022 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.022 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.022 * [taylor]: Taking taylor expansion of (* re re) in re 3.022 * [taylor]: Taking taylor expansion of re in re 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 1 into 1 3.022 * [taylor]: Taking taylor expansion of re in re 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 1 into 1 3.022 * [taylor]: Taking taylor expansion of (* im im) in re 3.022 * [taylor]: Taking taylor expansion of im in re 3.022 * [backup-simplify]: Simplify im into im 3.022 * [taylor]: Taking taylor expansion of im in re 3.022 * [backup-simplify]: Simplify im into im 3.022 * [backup-simplify]: Simplify (* 0 0) into 0 3.022 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.022 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.022 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.023 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.023 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.023 * [backup-simplify]: Simplify (+ 0 0) into 0 3.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.023 * [taylor]: Taking taylor expansion of re in re 3.023 * [backup-simplify]: Simplify 0 into 0 3.023 * [backup-simplify]: Simplify 1 into 1 3.023 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 3.023 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.023 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.023 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.023 * [taylor]: Taking taylor expansion of (* re re) in re 3.024 * [taylor]: Taking taylor expansion of re in re 3.024 * [backup-simplify]: Simplify 0 into 0 3.024 * [backup-simplify]: Simplify 1 into 1 3.024 * [taylor]: Taking taylor expansion of re in re 3.024 * [backup-simplify]: Simplify 0 into 0 3.024 * [backup-simplify]: Simplify 1 into 1 3.024 * [taylor]: Taking taylor expansion of (* im im) in re 3.024 * [taylor]: Taking taylor expansion of im in re 3.024 * [backup-simplify]: Simplify im into im 3.024 * [taylor]: Taking taylor expansion of im in re 3.024 * [backup-simplify]: Simplify im into im 3.024 * [backup-simplify]: Simplify (* 0 0) into 0 3.024 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.024 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.024 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.025 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.025 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.025 * [backup-simplify]: Simplify (+ 0 0) into 0 3.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.025 * [taylor]: Taking taylor expansion of re in re 3.025 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify 1 into 1 3.025 * [backup-simplify]: Simplify (+ im 0) into im 3.025 * [taylor]: Taking taylor expansion of im in im 3.025 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify 1 into 1 3.025 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify (+ 0 1) into 1 3.026 * [taylor]: Taking taylor expansion of 1 in im 3.026 * [backup-simplify]: Simplify 1 into 1 3.026 * [backup-simplify]: Simplify 1 into 1 3.026 * [backup-simplify]: Simplify 1 into 1 3.026 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.026 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.027 * [backup-simplify]: Simplify (+ 1 0) into 1 3.027 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.027 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 3.027 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 3.027 * [taylor]: Taking taylor expansion of 1/2 in im 3.027 * [backup-simplify]: Simplify 1/2 into 1/2 3.027 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.027 * [taylor]: Taking taylor expansion of im in im 3.027 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify 1 into 1 3.028 * [backup-simplify]: Simplify (/ 1 1) into 1 3.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.029 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.029 * [backup-simplify]: Simplify 0 into 0 3.029 * [backup-simplify]: Simplify 0 into 0 3.029 * [backup-simplify]: Simplify 0 into 0 3.029 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.030 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.030 * [backup-simplify]: Simplify (+ 0 0) into 0 3.030 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.030 * [backup-simplify]: Simplify (+ 0 0) into 0 3.030 * [taylor]: Taking taylor expansion of 0 in im 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.031 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.031 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 3.032 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 3.032 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 3.032 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 3.032 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.032 * [taylor]: Taking taylor expansion of re in im 3.032 * [backup-simplify]: Simplify re into re 3.032 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.032 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 3.032 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.032 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 3.032 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 3.032 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.032 * [taylor]: Taking taylor expansion of re in im 3.032 * [backup-simplify]: Simplify re into re 3.032 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.032 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.032 * [taylor]: Taking taylor expansion of re in im 3.032 * [backup-simplify]: Simplify re into re 3.032 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.032 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 3.032 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.032 * [taylor]: Taking taylor expansion of im in im 3.032 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify 1 into 1 3.033 * [backup-simplify]: Simplify (/ 1 1) into 1 3.033 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.033 * [taylor]: Taking taylor expansion of im in im 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 1 into 1 3.033 * [backup-simplify]: Simplify (/ 1 1) into 1 3.033 * [backup-simplify]: Simplify (* 1 1) into 1 3.033 * [backup-simplify]: Simplify (+ 0 1) into 1 3.034 * [backup-simplify]: Simplify (sqrt 1) into 1 3.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.036 * [backup-simplify]: Simplify (+ 0 0) into 0 3.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.036 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 3.036 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.036 * [taylor]: Taking taylor expansion of re in re 3.036 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify 1 into 1 3.037 * [backup-simplify]: Simplify (/ 1 1) into 1 3.037 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.037 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.037 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.037 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.037 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.037 * [taylor]: Taking taylor expansion of re in re 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 1 into 1 3.037 * [backup-simplify]: Simplify (/ 1 1) into 1 3.037 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.037 * [taylor]: Taking taylor expansion of re in re 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 1 into 1 3.038 * [backup-simplify]: Simplify (/ 1 1) into 1 3.038 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.038 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.038 * [taylor]: Taking taylor expansion of im in re 3.038 * [backup-simplify]: Simplify im into im 3.038 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.038 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.038 * [taylor]: Taking taylor expansion of im in re 3.038 * [backup-simplify]: Simplify im into im 3.038 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.038 * [backup-simplify]: Simplify (* 1 1) into 1 3.039 * [backup-simplify]: Simplify (+ 1 0) into 1 3.039 * [backup-simplify]: Simplify (sqrt 1) into 1 3.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.041 * [backup-simplify]: Simplify (+ 0 0) into 0 3.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.041 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 3.041 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.041 * [taylor]: Taking taylor expansion of re in re 3.041 * [backup-simplify]: Simplify 0 into 0 3.041 * [backup-simplify]: Simplify 1 into 1 3.041 * [backup-simplify]: Simplify (/ 1 1) into 1 3.041 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.042 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.042 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.042 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.042 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.042 * [taylor]: Taking taylor expansion of re in re 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify 1 into 1 3.042 * [backup-simplify]: Simplify (/ 1 1) into 1 3.042 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.042 * [taylor]: Taking taylor expansion of re in re 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify 1 into 1 3.042 * [backup-simplify]: Simplify (/ 1 1) into 1 3.042 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.042 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.042 * [taylor]: Taking taylor expansion of im in re 3.042 * [backup-simplify]: Simplify im into im 3.042 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.042 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.042 * [taylor]: Taking taylor expansion of im in re 3.042 * [backup-simplify]: Simplify im into im 3.042 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.043 * [backup-simplify]: Simplify (* 1 1) into 1 3.043 * [backup-simplify]: Simplify (+ 1 0) into 1 3.043 * [backup-simplify]: Simplify (sqrt 1) into 1 3.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.045 * [backup-simplify]: Simplify (+ 0 0) into 0 3.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.045 * [backup-simplify]: Simplify (+ 1 1) into 2 3.045 * [taylor]: Taking taylor expansion of 2 in im 3.045 * [backup-simplify]: Simplify 2 into 2 3.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.046 * [backup-simplify]: Simplify (+ 0 0) into 0 3.046 * [taylor]: Taking taylor expansion of 0 in im 3.046 * [backup-simplify]: Simplify 0 into 0 3.046 * [backup-simplify]: Simplify 2 into 2 3.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.048 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 3.048 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.049 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.049 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.049 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.049 * [taylor]: Taking taylor expansion of 1/2 in im 3.049 * [backup-simplify]: Simplify 1/2 into 1/2 3.049 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.049 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.049 * [taylor]: Taking taylor expansion of im in im 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify 1 into 1 3.050 * [backup-simplify]: Simplify (* 1 1) into 1 3.050 * [backup-simplify]: Simplify (/ 1 1) into 1 3.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.051 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.051 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 3.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 3.054 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 3.054 * [backup-simplify]: Simplify (+ 0 0) into 0 3.054 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.055 * [backup-simplify]: Simplify (+ 0 0) into 0 3.055 * [taylor]: Taking taylor expansion of 0 in im 3.055 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.056 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 3.057 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 3.057 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 3.057 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 3.057 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 3.057 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.057 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 3.057 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 3.057 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.057 * [taylor]: Taking taylor expansion of -1 in im 3.057 * [backup-simplify]: Simplify -1 into -1 3.057 * [taylor]: Taking taylor expansion of re in im 3.057 * [backup-simplify]: Simplify re into re 3.057 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 3.057 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.057 * [taylor]: Taking taylor expansion of -1 in im 3.057 * [backup-simplify]: Simplify -1 into -1 3.057 * [taylor]: Taking taylor expansion of re in im 3.057 * [backup-simplify]: Simplify re into re 3.057 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 3.057 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 3.057 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.057 * [taylor]: Taking taylor expansion of -1 in im 3.057 * [backup-simplify]: Simplify -1 into -1 3.057 * [taylor]: Taking taylor expansion of im in im 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify 1 into 1 3.057 * [backup-simplify]: Simplify (/ -1 1) into -1 3.057 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.057 * [taylor]: Taking taylor expansion of -1 in im 3.057 * [backup-simplify]: Simplify -1 into -1 3.057 * [taylor]: Taking taylor expansion of im in im 3.058 * [backup-simplify]: Simplify 0 into 0 3.058 * [backup-simplify]: Simplify 1 into 1 3.058 * [backup-simplify]: Simplify (/ -1 1) into -1 3.058 * [backup-simplify]: Simplify (* -1 -1) into 1 3.058 * [backup-simplify]: Simplify (+ 0 1) into 1 3.059 * [backup-simplify]: Simplify (sqrt 1) into 1 3.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.060 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.060 * [backup-simplify]: Simplify (+ 0 0) into 0 3.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.061 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.061 * [taylor]: Taking taylor expansion of re in im 3.061 * [backup-simplify]: Simplify re into re 3.061 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.061 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 3.061 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.061 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.061 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.061 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.061 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.061 * [taylor]: Taking taylor expansion of -1 in re 3.061 * [backup-simplify]: Simplify -1 into -1 3.061 * [taylor]: Taking taylor expansion of re in re 3.061 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify 1 into 1 3.061 * [backup-simplify]: Simplify (/ -1 1) into -1 3.061 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.061 * [taylor]: Taking taylor expansion of -1 in re 3.061 * [backup-simplify]: Simplify -1 into -1 3.061 * [taylor]: Taking taylor expansion of re in re 3.061 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify 1 into 1 3.062 * [backup-simplify]: Simplify (/ -1 1) into -1 3.062 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.062 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.062 * [taylor]: Taking taylor expansion of -1 in re 3.062 * [backup-simplify]: Simplify -1 into -1 3.062 * [taylor]: Taking taylor expansion of im in re 3.062 * [backup-simplify]: Simplify im into im 3.062 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.062 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.062 * [taylor]: Taking taylor expansion of -1 in re 3.062 * [backup-simplify]: Simplify -1 into -1 3.062 * [taylor]: Taking taylor expansion of im in re 3.062 * [backup-simplify]: Simplify im into im 3.062 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.062 * [backup-simplify]: Simplify (* -1 -1) into 1 3.062 * [backup-simplify]: Simplify (+ 1 0) into 1 3.062 * [backup-simplify]: Simplify (sqrt 1) into 1 3.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.064 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.064 * [backup-simplify]: Simplify (+ 0 0) into 0 3.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.065 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.065 * [taylor]: Taking taylor expansion of re in re 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify 1 into 1 3.065 * [backup-simplify]: Simplify (/ 1 1) into 1 3.065 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 3.065 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.065 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.065 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.065 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.065 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.065 * [taylor]: Taking taylor expansion of -1 in re 3.065 * [backup-simplify]: Simplify -1 into -1 3.065 * [taylor]: Taking taylor expansion of re in re 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify 1 into 1 3.065 * [backup-simplify]: Simplify (/ -1 1) into -1 3.065 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.065 * [taylor]: Taking taylor expansion of -1 in re 3.065 * [backup-simplify]: Simplify -1 into -1 3.065 * [taylor]: Taking taylor expansion of re in re 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify 1 into 1 3.066 * [backup-simplify]: Simplify (/ -1 1) into -1 3.066 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.066 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.066 * [taylor]: Taking taylor expansion of -1 in re 3.066 * [backup-simplify]: Simplify -1 into -1 3.066 * [taylor]: Taking taylor expansion of im in re 3.066 * [backup-simplify]: Simplify im into im 3.066 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.066 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.066 * [taylor]: Taking taylor expansion of -1 in re 3.066 * [backup-simplify]: Simplify -1 into -1 3.066 * [taylor]: Taking taylor expansion of im in re 3.066 * [backup-simplify]: Simplify im into im 3.066 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.066 * [backup-simplify]: Simplify (* -1 -1) into 1 3.066 * [backup-simplify]: Simplify (+ 1 0) into 1 3.067 * [backup-simplify]: Simplify (sqrt 1) into 1 3.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.068 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.068 * [backup-simplify]: Simplify (+ 0 0) into 0 3.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.069 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.069 * [taylor]: Taking taylor expansion of re in re 3.069 * [backup-simplify]: Simplify 0 into 0 3.069 * [backup-simplify]: Simplify 1 into 1 3.069 * [backup-simplify]: Simplify (/ 1 1) into 1 3.069 * [backup-simplify]: Simplify (- 1) into -1 3.070 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.070 * [taylor]: Taking taylor expansion of 0 in im 3.070 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.070 * [backup-simplify]: Simplify (- 0) into 0 3.070 * [backup-simplify]: Simplify (+ 0 0) into 0 3.071 * [taylor]: Taking taylor expansion of 0 in im 3.071 * [backup-simplify]: Simplify 0 into 0 3.071 * [backup-simplify]: Simplify 0 into 0 3.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.072 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.072 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 3.073 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.073 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.074 * [backup-simplify]: Simplify (- 0) into 0 3.074 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.074 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.074 * [taylor]: Taking taylor expansion of 1/2 in im 3.074 * [backup-simplify]: Simplify 1/2 into 1/2 3.074 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.074 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.074 * [taylor]: Taking taylor expansion of im in im 3.074 * [backup-simplify]: Simplify 0 into 0 3.074 * [backup-simplify]: Simplify 1 into 1 3.075 * [backup-simplify]: Simplify (* 1 1) into 1 3.075 * [backup-simplify]: Simplify (/ 1 1) into 1 3.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.076 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.076 * [backup-simplify]: Simplify 0 into 0 3.076 * [backup-simplify]: Simplify 0 into 0 3.076 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.078 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.078 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 3.078 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 3.078 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 3.078 * [backup-simplify]: Simplify (+ 0 0) into 0 3.079 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.080 * [backup-simplify]: Simplify (- 0) into 0 3.080 * [backup-simplify]: Simplify (+ 0 0) into 0 3.080 * [taylor]: Taking taylor expansion of 0 in im 3.080 * [backup-simplify]: Simplify 0 into 0 3.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.083 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1 1) 3.083 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ (hypot re im) re) 3.083 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 3.083 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 3.083 * [taylor]: Taking taylor expansion of (hypot re im) in im 3.083 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.083 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 3.083 * [taylor]: Taking taylor expansion of (* re re) in im 3.083 * [taylor]: Taking taylor expansion of re in im 3.083 * [backup-simplify]: Simplify re into re 3.083 * [taylor]: Taking taylor expansion of re in im 3.083 * [backup-simplify]: Simplify re into re 3.083 * [taylor]: Taking taylor expansion of (* im im) in im 3.084 * [taylor]: Taking taylor expansion of im in im 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify 1 into 1 3.084 * [taylor]: Taking taylor expansion of im in im 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify 1 into 1 3.084 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.084 * [backup-simplify]: Simplify (* 0 0) into 0 3.084 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.084 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.085 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.085 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.086 * [backup-simplify]: Simplify (+ 0 0) into 0 3.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.086 * [taylor]: Taking taylor expansion of re in im 3.086 * [backup-simplify]: Simplify re into re 3.086 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 3.086 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.086 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.086 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.086 * [taylor]: Taking taylor expansion of (* re re) in re 3.086 * [taylor]: Taking taylor expansion of re in re 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [taylor]: Taking taylor expansion of re in re 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [taylor]: Taking taylor expansion of (* im im) in re 3.086 * [taylor]: Taking taylor expansion of im in re 3.086 * [backup-simplify]: Simplify im into im 3.086 * [taylor]: Taking taylor expansion of im in re 3.086 * [backup-simplify]: Simplify im into im 3.087 * [backup-simplify]: Simplify (* 0 0) into 0 3.087 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.087 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.087 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.088 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.088 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.088 * [backup-simplify]: Simplify (+ 0 0) into 0 3.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.089 * [taylor]: Taking taylor expansion of re in re 3.089 * [backup-simplify]: Simplify 0 into 0 3.089 * [backup-simplify]: Simplify 1 into 1 3.089 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 3.089 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.089 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.089 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.089 * [taylor]: Taking taylor expansion of (* re re) in re 3.089 * [taylor]: Taking taylor expansion of re in re 3.089 * [backup-simplify]: Simplify 0 into 0 3.089 * [backup-simplify]: Simplify 1 into 1 3.089 * [taylor]: Taking taylor expansion of re in re 3.089 * [backup-simplify]: Simplify 0 into 0 3.089 * [backup-simplify]: Simplify 1 into 1 3.089 * [taylor]: Taking taylor expansion of (* im im) in re 3.089 * [taylor]: Taking taylor expansion of im in re 3.089 * [backup-simplify]: Simplify im into im 3.089 * [taylor]: Taking taylor expansion of im in re 3.089 * [backup-simplify]: Simplify im into im 3.090 * [backup-simplify]: Simplify (* 0 0) into 0 3.090 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.090 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.090 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.091 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.091 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.091 * [backup-simplify]: Simplify (+ 0 0) into 0 3.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.091 * [taylor]: Taking taylor expansion of re in re 3.091 * [backup-simplify]: Simplify 0 into 0 3.091 * [backup-simplify]: Simplify 1 into 1 3.091 * [backup-simplify]: Simplify (+ im 0) into im 3.091 * [taylor]: Taking taylor expansion of im in im 3.091 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify 1 into 1 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify (+ 0 1) into 1 3.092 * [taylor]: Taking taylor expansion of 1 in im 3.092 * [backup-simplify]: Simplify 1 into 1 3.092 * [backup-simplify]: Simplify 1 into 1 3.092 * [backup-simplify]: Simplify 1 into 1 3.093 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.093 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.094 * [backup-simplify]: Simplify (+ 1 0) into 1 3.095 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.095 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 3.095 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 3.095 * [taylor]: Taking taylor expansion of 1/2 in im 3.095 * [backup-simplify]: Simplify 1/2 into 1/2 3.095 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.095 * [taylor]: Taking taylor expansion of im in im 3.095 * [backup-simplify]: Simplify 0 into 0 3.095 * [backup-simplify]: Simplify 1 into 1 3.096 * [backup-simplify]: Simplify (/ 1 1) into 1 3.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.097 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify 0 into 0 3.099 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.099 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.100 * [backup-simplify]: Simplify (+ 0 0) into 0 3.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.100 * [backup-simplify]: Simplify (+ 0 0) into 0 3.100 * [taylor]: Taking taylor expansion of 0 in im 3.100 * [backup-simplify]: Simplify 0 into 0 3.101 * [backup-simplify]: Simplify 0 into 0 3.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.102 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 3.103 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 3.103 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 3.103 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 3.103 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.103 * [taylor]: Taking taylor expansion of re in im 3.103 * [backup-simplify]: Simplify re into re 3.103 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.103 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 3.103 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.103 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 3.103 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 3.103 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.103 * [taylor]: Taking taylor expansion of re in im 3.104 * [backup-simplify]: Simplify re into re 3.104 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.104 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.104 * [taylor]: Taking taylor expansion of re in im 3.104 * [backup-simplify]: Simplify re into re 3.104 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.104 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 3.104 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.104 * [taylor]: Taking taylor expansion of im in im 3.104 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify 1 into 1 3.104 * [backup-simplify]: Simplify (/ 1 1) into 1 3.104 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.104 * [taylor]: Taking taylor expansion of im in im 3.104 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify 1 into 1 3.105 * [backup-simplify]: Simplify (/ 1 1) into 1 3.105 * [backup-simplify]: Simplify (* 1 1) into 1 3.106 * [backup-simplify]: Simplify (+ 0 1) into 1 3.106 * [backup-simplify]: Simplify (sqrt 1) into 1 3.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.109 * [backup-simplify]: Simplify (+ 0 0) into 0 3.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.110 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 3.110 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.110 * [taylor]: Taking taylor expansion of re in re 3.110 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify 1 into 1 3.110 * [backup-simplify]: Simplify (/ 1 1) into 1 3.110 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.110 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.110 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.110 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.110 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.110 * [taylor]: Taking taylor expansion of re in re 3.110 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 1 into 1 3.111 * [backup-simplify]: Simplify (/ 1 1) into 1 3.111 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.111 * [taylor]: Taking taylor expansion of re in re 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 1 into 1 3.111 * [backup-simplify]: Simplify (/ 1 1) into 1 3.111 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.111 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.111 * [taylor]: Taking taylor expansion of im in re 3.111 * [backup-simplify]: Simplify im into im 3.112 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.112 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.112 * [taylor]: Taking taylor expansion of im in re 3.112 * [backup-simplify]: Simplify im into im 3.112 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.112 * [backup-simplify]: Simplify (* 1 1) into 1 3.112 * [backup-simplify]: Simplify (+ 1 0) into 1 3.113 * [backup-simplify]: Simplify (sqrt 1) into 1 3.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.115 * [backup-simplify]: Simplify (+ 0 0) into 0 3.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.116 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 3.116 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.116 * [taylor]: Taking taylor expansion of re in re 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify 1 into 1 3.117 * [backup-simplify]: Simplify (/ 1 1) into 1 3.117 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.117 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.117 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.117 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.117 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.117 * [taylor]: Taking taylor expansion of re in re 3.117 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify 1 into 1 3.118 * [backup-simplify]: Simplify (/ 1 1) into 1 3.118 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.118 * [taylor]: Taking taylor expansion of re in re 3.118 * [backup-simplify]: Simplify 0 into 0 3.118 * [backup-simplify]: Simplify 1 into 1 3.120 * [backup-simplify]: Simplify (/ 1 1) into 1 3.120 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.120 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.120 * [taylor]: Taking taylor expansion of im in re 3.120 * [backup-simplify]: Simplify im into im 3.120 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.120 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.120 * [taylor]: Taking taylor expansion of im in re 3.120 * [backup-simplify]: Simplify im into im 3.120 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.121 * [backup-simplify]: Simplify (* 1 1) into 1 3.121 * [backup-simplify]: Simplify (+ 1 0) into 1 3.122 * [backup-simplify]: Simplify (sqrt 1) into 1 3.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.124 * [backup-simplify]: Simplify (+ 0 0) into 0 3.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.125 * [backup-simplify]: Simplify (+ 1 1) into 2 3.125 * [taylor]: Taking taylor expansion of 2 in im 3.125 * [backup-simplify]: Simplify 2 into 2 3.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.126 * [backup-simplify]: Simplify (+ 0 0) into 0 3.126 * [taylor]: Taking taylor expansion of 0 in im 3.126 * [backup-simplify]: Simplify 0 into 0 3.126 * [backup-simplify]: Simplify 2 into 2 3.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.130 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 3.130 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.132 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.132 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.132 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.132 * [taylor]: Taking taylor expansion of 1/2 in im 3.132 * [backup-simplify]: Simplify 1/2 into 1/2 3.132 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.132 * [taylor]: Taking taylor expansion of (pow im 2) in im 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 3.133 * [backup-simplify]: Simplify (/ 1 1) into 1 3.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.135 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.135 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify 0 into 0 3.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 3.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 3.140 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 3.140 * [backup-simplify]: Simplify (+ 0 0) into 0 3.141 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.141 * [backup-simplify]: Simplify (+ 0 0) into 0 3.141 * [taylor]: Taking taylor expansion of 0 in im 3.141 * [backup-simplify]: Simplify 0 into 0 3.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.144 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.144 * [backup-simplify]: Simplify 0 into 0 3.144 * [backup-simplify]: Simplify 0 into 0 3.144 * [backup-simplify]: Simplify 0 into 0 3.144 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 3.145 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 3.145 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 3.145 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 3.145 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 3.145 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.145 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 3.145 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 3.145 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.145 * [taylor]: Taking taylor expansion of -1 in im 3.145 * [backup-simplify]: Simplify -1 into -1 3.145 * [taylor]: Taking taylor expansion of re in im 3.145 * [backup-simplify]: Simplify re into re 3.145 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 3.145 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.145 * [taylor]: Taking taylor expansion of -1 in im 3.145 * [backup-simplify]: Simplify -1 into -1 3.145 * [taylor]: Taking taylor expansion of re in im 3.145 * [backup-simplify]: Simplify re into re 3.145 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 3.145 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 3.145 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.145 * [taylor]: Taking taylor expansion of -1 in im 3.145 * [backup-simplify]: Simplify -1 into -1 3.145 * [taylor]: Taking taylor expansion of im in im 3.145 * [backup-simplify]: Simplify 0 into 0 3.145 * [backup-simplify]: Simplify 1 into 1 3.146 * [backup-simplify]: Simplify (/ -1 1) into -1 3.146 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.146 * [taylor]: Taking taylor expansion of -1 in im 3.146 * [backup-simplify]: Simplify -1 into -1 3.146 * [taylor]: Taking taylor expansion of im in im 3.146 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify 1 into 1 3.147 * [backup-simplify]: Simplify (/ -1 1) into -1 3.147 * [backup-simplify]: Simplify (* -1 -1) into 1 3.147 * [backup-simplify]: Simplify (+ 0 1) into 1 3.148 * [backup-simplify]: Simplify (sqrt 1) into 1 3.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.150 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.151 * [backup-simplify]: Simplify (+ 0 0) into 0 3.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.151 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.151 * [taylor]: Taking taylor expansion of re in im 3.151 * [backup-simplify]: Simplify re into re 3.151 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.151 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 3.152 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.152 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.152 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.152 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.152 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.152 * [taylor]: Taking taylor expansion of -1 in re 3.152 * [backup-simplify]: Simplify -1 into -1 3.152 * [taylor]: Taking taylor expansion of re in re 3.152 * [backup-simplify]: Simplify 0 into 0 3.152 * [backup-simplify]: Simplify 1 into 1 3.152 * [backup-simplify]: Simplify (/ -1 1) into -1 3.152 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.152 * [taylor]: Taking taylor expansion of -1 in re 3.153 * [backup-simplify]: Simplify -1 into -1 3.153 * [taylor]: Taking taylor expansion of re in re 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 1 into 1 3.153 * [backup-simplify]: Simplify (/ -1 1) into -1 3.153 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.153 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.153 * [taylor]: Taking taylor expansion of -1 in re 3.153 * [backup-simplify]: Simplify -1 into -1 3.153 * [taylor]: Taking taylor expansion of im in re 3.153 * [backup-simplify]: Simplify im into im 3.153 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.153 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.153 * [taylor]: Taking taylor expansion of -1 in re 3.153 * [backup-simplify]: Simplify -1 into -1 3.153 * [taylor]: Taking taylor expansion of im in re 3.153 * [backup-simplify]: Simplify im into im 3.154 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.154 * [backup-simplify]: Simplify (* -1 -1) into 1 3.154 * [backup-simplify]: Simplify (+ 1 0) into 1 3.155 * [backup-simplify]: Simplify (sqrt 1) into 1 3.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.157 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.157 * [backup-simplify]: Simplify (+ 0 0) into 0 3.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.158 * [taylor]: Taking taylor expansion of (/ 1 re) in re 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 3.159 * [backup-simplify]: Simplify (/ 1 1) into 1 3.159 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 3.159 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.159 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.159 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.159 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.159 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.159 * [taylor]: Taking taylor expansion of -1 in re 3.159 * [backup-simplify]: Simplify -1 into -1 3.159 * [taylor]: Taking taylor expansion of re in re 3.159 * [backup-simplify]: Simplify 0 into 0 3.160 * [backup-simplify]: Simplify 1 into 1 3.160 * [backup-simplify]: Simplify (/ -1 1) into -1 3.160 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.160 * [taylor]: Taking taylor expansion of -1 in re 3.160 * [backup-simplify]: Simplify -1 into -1 3.160 * [taylor]: Taking taylor expansion of re in re 3.160 * [backup-simplify]: Simplify 0 into 0 3.160 * [backup-simplify]: Simplify 1 into 1 3.160 * [backup-simplify]: Simplify (/ -1 1) into -1 3.160 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.160 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.160 * [taylor]: Taking taylor expansion of -1 in re 3.160 * [backup-simplify]: Simplify -1 into -1 3.160 * [taylor]: Taking taylor expansion of im in re 3.160 * [backup-simplify]: Simplify im into im 3.160 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.160 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.161 * [taylor]: Taking taylor expansion of -1 in re 3.161 * [backup-simplify]: Simplify -1 into -1 3.161 * [taylor]: Taking taylor expansion of im in re 3.161 * [backup-simplify]: Simplify im into im 3.161 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.161 * [backup-simplify]: Simplify (* -1 -1) into 1 3.161 * [backup-simplify]: Simplify (+ 1 0) into 1 3.161 * [backup-simplify]: Simplify (sqrt 1) into 1 3.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.163 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.163 * [backup-simplify]: Simplify (+ 0 0) into 0 3.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.163 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.163 * [taylor]: Taking taylor expansion of re in re 3.163 * [backup-simplify]: Simplify 0 into 0 3.163 * [backup-simplify]: Simplify 1 into 1 3.164 * [backup-simplify]: Simplify (/ 1 1) into 1 3.164 * [backup-simplify]: Simplify (- 1) into -1 3.164 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.164 * [taylor]: Taking taylor expansion of 0 in im 3.164 * [backup-simplify]: Simplify 0 into 0 3.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.165 * [backup-simplify]: Simplify (- 0) into 0 3.165 * [backup-simplify]: Simplify (+ 0 0) into 0 3.165 * [taylor]: Taking taylor expansion of 0 in im 3.165 * [backup-simplify]: Simplify 0 into 0 3.165 * [backup-simplify]: Simplify 0 into 0 3.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.167 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.167 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 3.167 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.168 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.169 * [backup-simplify]: Simplify (- 0) into 0 3.169 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.169 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.169 * [taylor]: Taking taylor expansion of 1/2 in im 3.169 * [backup-simplify]: Simplify 1/2 into 1/2 3.169 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.169 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.169 * [taylor]: Taking taylor expansion of im in im 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify 1 into 1 3.170 * [backup-simplify]: Simplify (* 1 1) into 1 3.170 * [backup-simplify]: Simplify (/ 1 1) into 1 3.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.171 * [backup-simplify]: Simplify 0 into 0 3.171 * [backup-simplify]: Simplify 0 into 0 3.171 * [backup-simplify]: Simplify 0 into 0 3.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.174 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.174 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 3.174 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 3.174 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 3.175 * [backup-simplify]: Simplify (+ 0 0) into 0 3.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.177 * [backup-simplify]: Simplify (- 0) into 0 3.177 * [backup-simplify]: Simplify (+ 0 0) into 0 3.177 * [taylor]: Taking taylor expansion of 0 in im 3.177 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.180 * [backup-simplify]: Simplify 0 into 0 3.180 * [backup-simplify]: Simplify 0 into 0 3.180 * [backup-simplify]: Simplify 0 into 0 3.180 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2) 3.180 * [backup-simplify]: Simplify (cbrt (+ re (hypot re im))) into (pow (+ (hypot re im) re) 1/3) 3.180 * [approximate]: Taking taylor expansion of (pow (+ (hypot re im) re) 1/3) in (re im) around 0 3.180 * [taylor]: Taking taylor expansion of (pow (+ (hypot re im) re) 1/3) in im 3.180 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (hypot re im) re)))) in im 3.180 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (hypot re im) re))) in im 3.181 * [taylor]: Taking taylor expansion of 1/3 in im 3.181 * [backup-simplify]: Simplify 1/3 into 1/3 3.181 * [taylor]: Taking taylor expansion of (log (+ (hypot re im) re)) in im 3.181 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 3.181 * [taylor]: Taking taylor expansion of (hypot re im) in im 3.181 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.181 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 3.181 * [taylor]: Taking taylor expansion of (* re re) in im 3.181 * [taylor]: Taking taylor expansion of re in im 3.181 * [backup-simplify]: Simplify re into re 3.181 * [taylor]: Taking taylor expansion of re in im 3.181 * [backup-simplify]: Simplify re into re 3.181 * [taylor]: Taking taylor expansion of (* im im) in im 3.181 * [taylor]: Taking taylor expansion of im in im 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify 1 into 1 3.181 * [taylor]: Taking taylor expansion of im in im 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify 1 into 1 3.181 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.182 * [backup-simplify]: Simplify (* 0 0) into 0 3.182 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.182 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.182 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.183 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.183 * [backup-simplify]: Simplify (+ 0 0) into 0 3.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.183 * [taylor]: Taking taylor expansion of re in im 3.183 * [backup-simplify]: Simplify re into re 3.183 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 3.183 * [backup-simplify]: Simplify (log (* 2 re)) into (log (* 2 re)) 3.184 * [backup-simplify]: Simplify (* 1/3 (log (* 2 re))) into (* 1/3 (log (* 2 re))) 3.184 * [backup-simplify]: Simplify (exp (* 1/3 (log (* 2 re)))) into (pow (* 2 re) 1/3) 3.184 * [taylor]: Taking taylor expansion of (pow (+ (hypot re im) re) 1/3) in re 3.184 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (hypot re im) re)))) in re 3.184 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (hypot re im) re))) in re 3.184 * [taylor]: Taking taylor expansion of 1/3 in re 3.184 * [backup-simplify]: Simplify 1/3 into 1/3 3.184 * [taylor]: Taking taylor expansion of (log (+ (hypot re im) re)) in re 3.184 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 3.184 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.184 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.184 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.184 * [taylor]: Taking taylor expansion of (* re 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 * [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 * [taylor]: Taking taylor expansion of (* im im) in re 3.184 * [taylor]: Taking taylor expansion of im in re 3.184 * [backup-simplify]: Simplify im into im 3.184 * [taylor]: Taking taylor expansion of im in re 3.184 * [backup-simplify]: Simplify im into im 3.185 * [backup-simplify]: Simplify (* 0 0) into 0 3.185 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.185 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.185 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.186 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.186 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.186 * [backup-simplify]: Simplify (+ 0 0) into 0 3.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.186 * [taylor]: Taking taylor expansion of re in re 3.187 * [backup-simplify]: Simplify 0 into 0 3.187 * [backup-simplify]: Simplify 1 into 1 3.187 * [backup-simplify]: Simplify (+ im 0) into im 3.187 * [backup-simplify]: Simplify (log im) into (log im) 3.187 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 3.187 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 3.187 * [taylor]: Taking taylor expansion of (pow (+ (hypot re im) re) 1/3) in re 3.187 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (hypot re im) re)))) in re 3.187 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (hypot re im) re))) in re 3.187 * [taylor]: Taking taylor expansion of 1/3 in re 3.187 * [backup-simplify]: Simplify 1/3 into 1/3 3.187 * [taylor]: Taking taylor expansion of (log (+ (hypot re im) re)) in re 3.187 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 3.187 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.187 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.187 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.187 * [taylor]: Taking taylor expansion of (* re re) in re 3.187 * [taylor]: Taking taylor expansion of re in re 3.187 * [backup-simplify]: Simplify 0 into 0 3.187 * [backup-simplify]: Simplify 1 into 1 3.187 * [taylor]: Taking taylor expansion of re in re 3.187 * [backup-simplify]: Simplify 0 into 0 3.187 * [backup-simplify]: Simplify 1 into 1 3.187 * [taylor]: Taking taylor expansion of (* im im) in re 3.187 * [taylor]: Taking taylor expansion of im in re 3.187 * [backup-simplify]: Simplify im into im 3.188 * [taylor]: Taking taylor expansion of im in re 3.188 * [backup-simplify]: Simplify im into im 3.188 * [backup-simplify]: Simplify (* 0 0) into 0 3.188 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.188 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.188 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.189 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.189 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.189 * [backup-simplify]: Simplify (+ 0 0) into 0 3.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.190 * [taylor]: Taking taylor expansion of re in re 3.190 * [backup-simplify]: Simplify 0 into 0 3.190 * [backup-simplify]: Simplify 1 into 1 3.190 * [backup-simplify]: Simplify (+ im 0) into im 3.190 * [backup-simplify]: Simplify (log im) into (log im) 3.190 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 3.190 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 3.190 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 3.190 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 3.190 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 3.190 * [taylor]: Taking taylor expansion of 1/3 in im 3.190 * [backup-simplify]: Simplify 1/3 into 1/3 3.190 * [taylor]: Taking taylor expansion of (log im) in im 3.190 * [taylor]: Taking taylor expansion of im in im 3.190 * [backup-simplify]: Simplify 0 into 0 3.190 * [backup-simplify]: Simplify 1 into 1 3.191 * [backup-simplify]: Simplify (log 1) into 0 3.191 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 3.191 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 3.191 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 3.191 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3) 3.192 * [backup-simplify]: Simplify (+ 0 1) into 1 3.193 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow im 1)))) 1) into (/ 1 im) 3.193 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 im)) (* 0 (log im))) into (* 1/3 (/ 1 im)) 3.193 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow (* 1/3 (/ 1 im)) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 2)) 1/3)) 3.193 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 2)) 1/3)) in im 3.193 * [taylor]: Taking taylor expansion of 1/3 in im 3.193 * [backup-simplify]: Simplify 1/3 into 1/3 3.193 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 2)) 1/3) in im 3.193 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 2))))) in im 3.193 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 2)))) in im 3.193 * [taylor]: Taking taylor expansion of 1/3 in im 3.193 * [backup-simplify]: Simplify 1/3 into 1/3 3.193 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 2))) in im 3.193 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.193 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.193 * [taylor]: Taking taylor expansion of im in im 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 1 into 1 3.194 * [backup-simplify]: Simplify (* 1 1) into 1 3.194 * [backup-simplify]: Simplify (/ 1 1) into 1 3.195 * [backup-simplify]: Simplify (log 1) into 0 3.195 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 3.195 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 3.195 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 3.195 * [backup-simplify]: Simplify (* 1/3 (pow im -2/3)) into (* 1/3 (pow (/ 1 (pow im 2)) 1/3)) 3.196 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 2)) 1/3)) 3.197 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.197 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 3.198 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0 3.199 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 3.199 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.200 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.201 * [backup-simplify]: Simplify (+ 1 0) into 1 3.201 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.201 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 3.203 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 im))) 1)) (pow im 1)))) 2) into 0 3.203 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 im)) (* 0 (log im)))) into 0 3.204 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow (* 1/3 (/ 1 im)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/18 (pow (/ 1 (pow im 5)) 1/3)) 3.204 * [taylor]: Taking taylor expansion of (* 1/18 (pow (/ 1 (pow im 5)) 1/3)) in im 3.204 * [taylor]: Taking taylor expansion of 1/18 in im 3.204 * [backup-simplify]: Simplify 1/18 into 1/18 3.204 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 3.204 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 3.204 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 3.204 * [taylor]: Taking taylor expansion of 1/3 in im 3.205 * [backup-simplify]: Simplify 1/3 into 1/3 3.205 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 3.205 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 3.205 * [taylor]: Taking taylor expansion of (pow im 5) in im 3.205 * [taylor]: Taking taylor expansion of im in im 3.205 * [backup-simplify]: Simplify 0 into 0 3.205 * [backup-simplify]: Simplify 1 into 1 3.205 * [backup-simplify]: Simplify (* 1 1) into 1 3.205 * [backup-simplify]: Simplify (* 1 1) into 1 3.206 * [backup-simplify]: Simplify (* 1 1) into 1 3.206 * [backup-simplify]: Simplify (/ 1 1) into 1 3.207 * [backup-simplify]: Simplify (log 1) into 0 3.207 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 3.207 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im)) 3.207 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3) 3.207 * [backup-simplify]: Simplify (* 1/18 (pow im -5/3)) into (* 1/18 (pow (/ 1 (pow im 5)) 1/3)) 3.208 * [backup-simplify]: Simplify (* 1/18 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/18 (pow (/ 1 (pow im 5)) 1/3)) 3.209 * [backup-simplify]: Simplify (+ (* (* 1/18 (pow (/ 1 (pow im 5)) 1/3)) (pow (* 1 re) 2)) (+ (* (* 1/3 (pow (/ 1 (pow im 2)) 1/3)) (* 1 re)) (pow im 1/3))) into (+ (* 1/3 (* re (pow (/ 1 (pow im 2)) 1/3))) (+ (* 1/18 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3))) 3.209 * [backup-simplify]: Simplify (cbrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) into (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) 3.209 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in (re im) around 0 3.209 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in im 3.209 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in im 3.209 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 3.209 * [taylor]: Taking taylor expansion of 1/3 in im 3.209 * [backup-simplify]: Simplify 1/3 into 1/3 3.209 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 3.209 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 3.209 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.209 * [taylor]: Taking taylor expansion of re in im 3.209 * [backup-simplify]: Simplify re into re 3.210 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.210 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 3.210 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.210 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 3.210 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 3.210 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.210 * [taylor]: Taking taylor expansion of re in im 3.210 * [backup-simplify]: Simplify re into re 3.210 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.210 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.210 * [taylor]: Taking taylor expansion of re in im 3.210 * [backup-simplify]: Simplify re into re 3.210 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.210 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 3.210 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.210 * [taylor]: Taking taylor expansion of im in im 3.210 * [backup-simplify]: Simplify 0 into 0 3.210 * [backup-simplify]: Simplify 1 into 1 3.211 * [backup-simplify]: Simplify (/ 1 1) into 1 3.211 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.211 * [taylor]: Taking taylor expansion of im in im 3.211 * [backup-simplify]: Simplify 0 into 0 3.211 * [backup-simplify]: Simplify 1 into 1 3.211 * [backup-simplify]: Simplify (/ 1 1) into 1 3.211 * [backup-simplify]: Simplify (* 1 1) into 1 3.212 * [backup-simplify]: Simplify (+ 0 1) into 1 3.212 * [backup-simplify]: Simplify (sqrt 1) into 1 3.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.215 * [backup-simplify]: Simplify (+ 0 0) into 0 3.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.216 * [backup-simplify]: Simplify (+ 0 1) into 1 3.216 * [backup-simplify]: Simplify (log 1) into 0 3.217 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 3.217 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im)) 3.217 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 3.217 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in re 3.217 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in re 3.217 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 3.217 * [taylor]: Taking taylor expansion of 1/3 in re 3.217 * [backup-simplify]: Simplify 1/3 into 1/3 3.217 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 3.217 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 3.217 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.217 * [taylor]: Taking taylor expansion of re in re 3.217 * [backup-simplify]: Simplify 0 into 0 3.217 * [backup-simplify]: Simplify 1 into 1 3.217 * [backup-simplify]: Simplify (/ 1 1) into 1 3.217 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.218 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.218 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.218 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.218 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.218 * [taylor]: Taking taylor expansion of re in re 3.218 * [backup-simplify]: Simplify 0 into 0 3.218 * [backup-simplify]: Simplify 1 into 1 3.218 * [backup-simplify]: Simplify (/ 1 1) into 1 3.218 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.218 * [taylor]: Taking taylor expansion of re in re 3.218 * [backup-simplify]: Simplify 0 into 0 3.218 * [backup-simplify]: Simplify 1 into 1 3.219 * [backup-simplify]: Simplify (/ 1 1) into 1 3.219 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.219 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.219 * [taylor]: Taking taylor expansion of im in re 3.219 * [backup-simplify]: Simplify im into im 3.219 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.219 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.219 * [taylor]: Taking taylor expansion of im in re 3.219 * [backup-simplify]: Simplify im into im 3.219 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.220 * [backup-simplify]: Simplify (* 1 1) into 1 3.220 * [backup-simplify]: Simplify (+ 1 0) into 1 3.220 * [backup-simplify]: Simplify (sqrt 1) into 1 3.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.223 * [backup-simplify]: Simplify (+ 0 0) into 0 3.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.224 * [backup-simplify]: Simplify (+ 1 1) into 2 3.224 * [backup-simplify]: Simplify (log 2) into (log 2) 3.225 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re)) 3.226 * [backup-simplify]: Simplify (* 1/3 (- (log 2) (log re))) into (* 1/3 (- (log 2) (log re))) 3.226 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 2) (log re)))) into (exp (* 1/3 (- (log 2) (log re)))) 3.226 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in re 3.226 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in re 3.226 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 3.226 * [taylor]: Taking taylor expansion of 1/3 in re 3.226 * [backup-simplify]: Simplify 1/3 into 1/3 3.226 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 3.226 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 3.226 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.226 * [taylor]: Taking taylor expansion of re in re 3.226 * [backup-simplify]: Simplify 0 into 0 3.226 * [backup-simplify]: Simplify 1 into 1 3.227 * [backup-simplify]: Simplify (/ 1 1) into 1 3.227 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.227 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.227 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.227 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.227 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.227 * [taylor]: Taking taylor expansion of re in re 3.227 * [backup-simplify]: Simplify 0 into 0 3.227 * [backup-simplify]: Simplify 1 into 1 3.228 * [backup-simplify]: Simplify (/ 1 1) into 1 3.228 * [taylor]: Taking taylor expansion of (/ 1 re) in re 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 3.228 * [backup-simplify]: Simplify (/ 1 1) into 1 3.228 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.228 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.228 * [taylor]: Taking taylor expansion of im in re 3.228 * [backup-simplify]: Simplify im into im 3.228 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.228 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.228 * [taylor]: Taking taylor expansion of im in re 3.228 * [backup-simplify]: Simplify im into im 3.228 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.229 * [backup-simplify]: Simplify (* 1 1) into 1 3.229 * [backup-simplify]: Simplify (+ 1 0) into 1 3.230 * [backup-simplify]: Simplify (sqrt 1) into 1 3.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.231 * [backup-simplify]: Simplify (- (+ (* 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 3.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.233 * [backup-simplify]: Simplify (+ 1 1) into 2 3.234 * [backup-simplify]: Simplify (log 2) into (log 2) 3.235 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re)) 3.235 * [backup-simplify]: Simplify (* 1/3 (- (log 2) (log re))) into (* 1/3 (- (log 2) (log re))) 3.236 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 2) (log re)))) into (exp (* 1/3 (- (log 2) (log re)))) 3.236 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log re)))) in im 3.236 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 2) (log re))) in im 3.236 * [taylor]: Taking taylor expansion of 1/3 in im 3.236 * [backup-simplify]: Simplify 1/3 into 1/3 3.236 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 3.236 * [taylor]: Taking taylor expansion of (log 2) in im 3.236 * [taylor]: Taking taylor expansion of 2 in im 3.236 * [backup-simplify]: Simplify 2 into 2 3.237 * [backup-simplify]: Simplify (log 2) into (log 2) 3.237 * [taylor]: Taking taylor expansion of (log re) in im 3.237 * [taylor]: Taking taylor expansion of re in im 3.237 * [backup-simplify]: Simplify re into re 3.237 * [backup-simplify]: Simplify (log re) into (log re) 3.237 * [backup-simplify]: Simplify (- (log re)) into (- (log re)) 3.237 * [backup-simplify]: Simplify (+ (log 2) (- (log re))) into (- (log 2) (log re)) 3.238 * [backup-simplify]: Simplify (* 1/3 (- (log 2) (log re))) into (* 1/3 (- (log 2) (log re))) 3.238 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 2) (log re)))) into (exp (* 1/3 (- (log 2) (log re)))) 3.239 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 2) (log re)))) into (exp (* 1/3 (- (log 2) (log re)))) 3.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.240 * [backup-simplify]: Simplify (+ 0 0) into 0 3.241 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 3.242 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re)) 3.243 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 2) (log re)))) into 0 3.244 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 2) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.244 * [taylor]: Taking taylor expansion of 0 in im 3.244 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 3.247 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 3.247 * [backup-simplify]: Simplify (- 0) into 0 3.247 * [backup-simplify]: Simplify (+ 0 0) into 0 3.248 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 2) (log re)))) into 0 3.250 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 2) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.250 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.253 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 3.253 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.254 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.254 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.255 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow im 2)))) 1)) (pow 2 1)))) 2) into (/ 1/4 (pow im 2)) 3.256 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re)) 3.256 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (pow im 2))) (+ (* 0 0) (* 0 (- (log 2) (log re))))) into (* 1/12 (/ 1 (pow im 2))) 3.257 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 2) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (pow im 2))) 1) 1)))) into (* 1/12 (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2))) 3.257 * [taylor]: Taking taylor expansion of (* 1/12 (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2))) in im 3.257 * [taylor]: Taking taylor expansion of 1/12 in im 3.257 * [backup-simplify]: Simplify 1/12 into 1/12 3.257 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2)) in im 3.257 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log re)))) in im 3.257 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 2) (log re))) in im 3.257 * [taylor]: Taking taylor expansion of 1/3 in im 3.257 * [backup-simplify]: Simplify 1/3 into 1/3 3.257 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 3.257 * [taylor]: Taking taylor expansion of (log 2) in im 3.257 * [taylor]: Taking taylor expansion of 2 in im 3.257 * [backup-simplify]: Simplify 2 into 2 3.258 * [backup-simplify]: Simplify (log 2) into (log 2) 3.258 * [taylor]: Taking taylor expansion of (log re) in im 3.258 * [taylor]: Taking taylor expansion of re in im 3.258 * [backup-simplify]: Simplify re into re 3.258 * [backup-simplify]: Simplify (log re) into (log re) 3.258 * [backup-simplify]: Simplify (- (log re)) into (- (log re)) 3.258 * [backup-simplify]: Simplify (+ (log 2) (- (log re))) into (- (log 2) (log re)) 3.258 * [backup-simplify]: Simplify (* 1/3 (- (log 2) (log re))) into (* 1/3 (- (log 2) (log re))) 3.259 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 2) (log re)))) into (exp (* 1/3 (- (log 2) (log re)))) 3.259 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.259 * [taylor]: Taking taylor expansion of im in im 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 1 into 1 3.259 * [backup-simplify]: Simplify (* 1 1) into 1 3.259 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log 2) (log re)))) 1) into (exp (* 1/3 (- (log 2) (log re)))) 3.261 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 3.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 3.262 * [backup-simplify]: Simplify (- 0) into 0 3.262 * [backup-simplify]: Simplify (+ 0 0) into 0 3.263 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 2) (log re)))) into 0 3.264 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 3.266 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 3.266 * [backup-simplify]: Simplify (- 0) into 0 3.266 * [backup-simplify]: Simplify (+ 0 0) into 0 3.267 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 2) (log re))))) into 0 3.268 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 2) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.269 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 2) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 2) (log re)))) (/ 0 1)))) into 0 3.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 2) (log re)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.272 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 2) (log re))))))) into 0 3.272 * [backup-simplify]: Simplify 0 into 0 3.272 * [backup-simplify]: Simplify 0 into 0 3.274 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 3.275 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 3.275 * [backup-simplify]: Simplify (- 0) into 0 3.275 * [backup-simplify]: Simplify (+ 0 0) into 0 3.276 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 2) (log re))))) into 0 3.278 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 2) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.278 * [backup-simplify]: Simplify 0 into 0 3.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 3.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 3.282 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 3.283 * [backup-simplify]: Simplify (+ 0 0) into 0 3.283 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.284 * [backup-simplify]: Simplify (+ 0 0) into 0 3.287 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/2 (/ 1 (pow im 2)))) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 3.288 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re)) 3.289 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/4 (pow im 2))) (+ (* 0 0) (* 0 (- (log 2) (log re)))))) into 0 3.293 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 2) (log re)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/12 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.293 * [taylor]: Taking taylor expansion of 0 in im 3.293 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 2) (log (/ 1 re))))) into (exp (* 1/3 (- (log 2) (log (/ 1 re))))) 3.294 * [backup-simplify]: Simplify (cbrt (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im))))) into (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) 3.294 * [approximate]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in (re im) around 0 3.294 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in im 3.294 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 3.294 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 3.294 * [taylor]: Taking taylor expansion of 1/3 in im 3.294 * [backup-simplify]: Simplify 1/3 into 1/3 3.294 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 3.294 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 3.294 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 3.294 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.294 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 3.294 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 3.294 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.294 * [taylor]: Taking taylor expansion of -1 in im 3.294 * [backup-simplify]: Simplify -1 into -1 3.294 * [taylor]: Taking taylor expansion of re in im 3.294 * [backup-simplify]: Simplify re into re 3.294 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 3.294 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.294 * [taylor]: Taking taylor expansion of -1 in im 3.294 * [backup-simplify]: Simplify -1 into -1 3.294 * [taylor]: Taking taylor expansion of re in im 3.294 * [backup-simplify]: Simplify re into re 3.295 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 3.295 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 3.295 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.295 * [taylor]: Taking taylor expansion of -1 in im 3.295 * [backup-simplify]: Simplify -1 into -1 3.295 * [taylor]: Taking taylor expansion of im in im 3.295 * [backup-simplify]: Simplify 0 into 0 3.295 * [backup-simplify]: Simplify 1 into 1 3.295 * [backup-simplify]: Simplify (/ -1 1) into -1 3.295 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.295 * [taylor]: Taking taylor expansion of -1 in im 3.295 * [backup-simplify]: Simplify -1 into -1 3.295 * [taylor]: Taking taylor expansion of im in im 3.295 * [backup-simplify]: Simplify 0 into 0 3.295 * [backup-simplify]: Simplify 1 into 1 3.296 * [backup-simplify]: Simplify (/ -1 1) into -1 3.296 * [backup-simplify]: Simplify (* -1 -1) into 1 3.297 * [backup-simplify]: Simplify (+ 0 1) into 1 3.297 * [backup-simplify]: Simplify (sqrt 1) into 1 3.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.300 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.300 * [backup-simplify]: Simplify (+ 0 0) into 0 3.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.300 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.300 * [taylor]: Taking taylor expansion of re in im 3.300 * [backup-simplify]: Simplify re into re 3.300 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.301 * [backup-simplify]: Simplify (+ 1 0) into 1 3.301 * [backup-simplify]: Simplify (log 1) into 0 3.301 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 3.301 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im)) 3.301 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 3.301 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in re 3.301 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 3.301 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 3.301 * [taylor]: Taking taylor expansion of 1/3 in re 3.302 * [backup-simplify]: Simplify 1/3 into 1/3 3.302 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 3.302 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 3.302 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.302 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.302 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.302 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.302 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.302 * [taylor]: Taking taylor expansion of -1 in re 3.302 * [backup-simplify]: Simplify -1 into -1 3.302 * [taylor]: Taking taylor expansion of re in re 3.302 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify 1 into 1 3.302 * [backup-simplify]: Simplify (/ -1 1) into -1 3.302 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.302 * [taylor]: Taking taylor expansion of -1 in re 3.302 * [backup-simplify]: Simplify -1 into -1 3.302 * [taylor]: Taking taylor expansion of re in re 3.302 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify 1 into 1 3.302 * [backup-simplify]: Simplify (/ -1 1) into -1 3.302 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.302 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.302 * [taylor]: Taking taylor expansion of -1 in re 3.303 * [backup-simplify]: Simplify -1 into -1 3.303 * [taylor]: Taking taylor expansion of im in re 3.303 * [backup-simplify]: Simplify im into im 3.303 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.303 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.303 * [taylor]: Taking taylor expansion of -1 in re 3.303 * [backup-simplify]: Simplify -1 into -1 3.303 * [taylor]: Taking taylor expansion of im in re 3.303 * [backup-simplify]: Simplify im into im 3.303 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.303 * [backup-simplify]: Simplify (* -1 -1) into 1 3.303 * [backup-simplify]: Simplify (+ 1 0) into 1 3.303 * [backup-simplify]: Simplify (sqrt 1) into 1 3.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.305 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.305 * [backup-simplify]: Simplify (+ 0 0) into 0 3.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.305 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.305 * [taylor]: Taking taylor expansion of re in re 3.305 * [backup-simplify]: Simplify 0 into 0 3.305 * [backup-simplify]: Simplify 1 into 1 3.306 * [backup-simplify]: Simplify (/ 1 1) into 1 3.306 * [backup-simplify]: Simplify (- 1) into -1 3.306 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.307 * [backup-simplify]: Simplify (- 0) into 0 3.307 * [backup-simplify]: Simplify (+ 0 0) into 0 3.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.309 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.309 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 3.309 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.310 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.311 * [backup-simplify]: Simplify (- 0) into 0 3.311 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.311 * [backup-simplify]: Simplify (log (* 1/2 (/ 1 (pow im 2)))) into (log (/ 1/2 (pow im 2))) 3.311 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log re) (log (/ 1/2 (pow im 2)))) 3.311 * [backup-simplify]: Simplify (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2))))) into (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2))))) 3.311 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2)))))) into (exp (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2)))))) 3.311 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in re 3.312 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 3.312 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 3.312 * [taylor]: Taking taylor expansion of 1/3 in re 3.312 * [backup-simplify]: Simplify 1/3 into 1/3 3.312 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 3.312 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 3.312 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.312 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.312 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.312 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.312 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.312 * [taylor]: Taking taylor expansion of -1 in re 3.312 * [backup-simplify]: Simplify -1 into -1 3.312 * [taylor]: Taking taylor expansion of re in re 3.312 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify 1 into 1 3.312 * [backup-simplify]: Simplify (/ -1 1) into -1 3.312 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.312 * [taylor]: Taking taylor expansion of -1 in re 3.312 * [backup-simplify]: Simplify -1 into -1 3.312 * [taylor]: Taking taylor expansion of re in re 3.312 * [backup-simplify]: Simplify 0 into 0 3.312 * [backup-simplify]: Simplify 1 into 1 3.312 * [backup-simplify]: Simplify (/ -1 1) into -1 3.312 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.313 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.313 * [taylor]: Taking taylor expansion of -1 in re 3.313 * [backup-simplify]: Simplify -1 into -1 3.313 * [taylor]: Taking taylor expansion of im in re 3.313 * [backup-simplify]: Simplify im into im 3.313 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.313 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.313 * [taylor]: Taking taylor expansion of -1 in re 3.313 * [backup-simplify]: Simplify -1 into -1 3.313 * [taylor]: Taking taylor expansion of im in re 3.313 * [backup-simplify]: Simplify im into im 3.313 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.313 * [backup-simplify]: Simplify (* -1 -1) into 1 3.313 * [backup-simplify]: Simplify (+ 1 0) into 1 3.313 * [backup-simplify]: Simplify (sqrt 1) into 1 3.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.315 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.315 * [backup-simplify]: Simplify (+ 0 0) into 0 3.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.315 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.315 * [taylor]: Taking taylor expansion of re in re 3.315 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 1 into 1 3.316 * [backup-simplify]: Simplify (/ 1 1) into 1 3.316 * [backup-simplify]: Simplify (- 1) into -1 3.316 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.317 * [backup-simplify]: Simplify (- 0) into 0 3.317 * [backup-simplify]: Simplify (+ 0 0) into 0 3.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.319 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.319 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 3.319 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.320 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.321 * [backup-simplify]: Simplify (- 0) into 0 3.321 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.321 * [backup-simplify]: Simplify (log (* 1/2 (/ 1 (pow im 2)))) into (log (/ 1/2 (pow im 2))) 3.321 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log re) (log (/ 1/2 (pow im 2)))) 3.322 * [backup-simplify]: Simplify (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2))))) into (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2))))) 3.322 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2)))))) into (exp (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2)))))) 3.322 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2)))))) in im 3.322 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2))))) in im 3.322 * [taylor]: Taking taylor expansion of 1/3 in im 3.322 * [backup-simplify]: Simplify 1/3 into 1/3 3.322 * [taylor]: Taking taylor expansion of (+ (log re) (log (/ 1/2 (pow im 2)))) in im 3.322 * [taylor]: Taking taylor expansion of (log re) in im 3.322 * [taylor]: Taking taylor expansion of re in im 3.322 * [backup-simplify]: Simplify re into re 3.322 * [backup-simplify]: Simplify (log re) into (log re) 3.322 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 3.322 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.322 * [taylor]: Taking taylor expansion of 1/2 in im 3.322 * [backup-simplify]: Simplify 1/2 into 1/2 3.322 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.322 * [taylor]: Taking taylor expansion of im in im 3.322 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify 1 into 1 3.322 * [backup-simplify]: Simplify (* 1 1) into 1 3.323 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.323 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 3.323 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) (log 1/2)) into (- (log 1/2) (* 2 (log im))) 3.324 * [backup-simplify]: Simplify (+ (log re) (- (log 1/2) (* 2 (log im)))) into (- (+ (log 1/2) (log re)) (* 2 (log im))) 3.324 * [backup-simplify]: Simplify (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im)))) into (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im)))) 3.324 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) into (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) 3.325 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) into (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) 3.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.327 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.327 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 3.327 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 3.327 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 3.327 * [backup-simplify]: Simplify (+ 0 0) into 0 3.328 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.328 * [backup-simplify]: Simplify (- 0) into 0 3.329 * [backup-simplify]: Simplify (+ 0 0) into 0 3.329 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ 1 (pow im 2))) 1)))) 1) into 0 3.329 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log re) (log (/ 1/2 (pow im 2)))) 3.330 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log re) (log (/ 1/2 (pow im 2)))))) into 0 3.330 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.330 * [taylor]: Taking taylor expansion of 0 in im 3.331 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 3.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.333 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 3.334 * [backup-simplify]: Simplify (+ 0 0) into 0 3.335 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (log 1/2) (log re)) (* 2 (log im))))) into 0 3.336 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.336 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.340 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 3.340 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 3.340 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 3.341 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 3.341 * [backup-simplify]: Simplify (+ 0 0) into 0 3.343 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 3.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.344 * [backup-simplify]: Simplify (- 0) into 0 3.344 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 3.346 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ 1 (pow im 2))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (/ 1 (pow im 4))))) 1)) (pow (* 1/2 (/ 1 (pow im 2))) 1)))) 2) into (/ -1/4 (pow im 2)) 3.347 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log re) (log (/ 1/2 (pow im 2)))) 3.348 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/4 (pow im 2))) (+ (* 0 0) (* 0 (+ (log re) (log (/ 1/2 (pow im 2))))))) into (- (* 1/12 (/ 1 (pow im 2)))) 3.349 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/12 (/ 1 (pow im 2)))) 1) 1)))) into (* -1/12 (/ (exp (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2)))))) (pow im 2))) 3.349 * [taylor]: Taking taylor expansion of (* -1/12 (/ (exp (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2)))))) (pow im 2))) in im 3.349 * [taylor]: Taking taylor expansion of -1/12 in im 3.349 * [backup-simplify]: Simplify -1/12 into -1/12 3.349 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2)))))) (pow im 2)) in im 3.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2)))))) in im 3.349 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2))))) in im 3.349 * [taylor]: Taking taylor expansion of 1/3 in im 3.349 * [backup-simplify]: Simplify 1/3 into 1/3 3.349 * [taylor]: Taking taylor expansion of (+ (log re) (log (/ 1/2 (pow im 2)))) in im 3.349 * [taylor]: Taking taylor expansion of (log re) in im 3.349 * [taylor]: Taking taylor expansion of re in im 3.349 * [backup-simplify]: Simplify re into re 3.349 * [backup-simplify]: Simplify (log re) into (log re) 3.349 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 3.350 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.350 * [taylor]: Taking taylor expansion of 1/2 in im 3.350 * [backup-simplify]: Simplify 1/2 into 1/2 3.350 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.350 * [taylor]: Taking taylor expansion of im in im 3.350 * [backup-simplify]: Simplify 0 into 0 3.350 * [backup-simplify]: Simplify 1 into 1 3.350 * [backup-simplify]: Simplify (* 1 1) into 1 3.350 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.351 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 3.352 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) (log 1/2)) into (- (log 1/2) (* 2 (log im))) 3.352 * [backup-simplify]: Simplify (+ (log re) (- (log 1/2) (* 2 (log im)))) into (- (+ (log 1/2) (log re)) (* 2 (log im))) 3.353 * [backup-simplify]: Simplify (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im)))) into (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im)))) 3.353 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) into (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) 3.354 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.354 * [taylor]: Taking taylor expansion of im in im 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 1 into 1 3.354 * [backup-simplify]: Simplify (* 1 1) into 1 3.355 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) 1) into (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) 3.356 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 3.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.359 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 3.359 * [backup-simplify]: Simplify (+ 0 0) into 0 3.360 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (+ (log 1/2) (log re)) (* 2 (log im))))) into 0 3.361 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 3.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.364 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 3.364 * [backup-simplify]: Simplify (+ 0 0) into 0 3.365 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (log 1/2) (log re)) (* 2 (log im)))))) into 0 3.366 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.367 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) (/ 0 1)))) into 0 3.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.372 * [backup-simplify]: Simplify (+ (* -1/12 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im)))))))) into 0 3.372 * [backup-simplify]: Simplify 0 into 0 3.372 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 3.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.376 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 3.377 * [backup-simplify]: Simplify (+ 0 0) into 0 3.378 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (log 1/2) (log re)) (* 2 (log im)))))) into 0 3.379 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (+ (log 1/2) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.379 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.381 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 3.381 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 3.381 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 3.381 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 im))))) into 0 3.382 * [backup-simplify]: Simplify (+ 0 0) into 0 3.382 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow im 4)))) (* 2 (* (/ 1/2 (pow im 2)) 0)))) (* 2 1)) into 0 3.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.383 * [backup-simplify]: Simplify (- 0) into 0 3.383 * [backup-simplify]: Simplify (+ 0 0) into 0 3.385 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 (/ 1 (pow im 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/8 (/ 1 (pow im 4))))) 1)) (pow (* 1/2 (/ 1 (pow im 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ 1 (pow im 2))) 1)))) 6) into 0 3.385 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log re) (log (/ 1/2 (pow im 2)))) 3.386 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ -1/4 (pow im 2))) (+ (* 0 0) (* 0 (+ (log re) (log (/ 1/2 (pow im 2)))))))) into 0 3.388 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log re) (log (/ 1/2 (pow im 2)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/12 (/ 1 (pow im 2)))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.388 * [taylor]: Taking taylor expansion of 0 in im 3.388 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify (exp (* 1/3 (- (+ (log 1/2) (log (/ 1 (- re)))) (* 2 (log (/ 1 (- im))))))) into (exp (* 1/3 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im)))))) 3.388 * * * [progress]: simplifying candidates 3.390 * [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 (+ 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 (+ 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 (cbrt (+ re (hypot re im)))) (log1p (cbrt (+ re (hypot re im)))) (log (cbrt (+ re (hypot re im)))) (exp (cbrt (+ re (hypot re im)))) (cbrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))) (cbrt (cbrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))) (cbrt 1) (cbrt (+ re (hypot re im))) (cbrt 1) (cbrt (+ re (hypot re im))) (cbrt (+ (pow re 3) (pow (hypot re im) 3))) (cbrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (cbrt (- (* re re) (* (hypot re im) (hypot re im)))) (cbrt (- re (hypot re im))) (* (cbrt (cbrt (+ re (hypot re im)))) (cbrt (cbrt (+ re (hypot re im))))) (cbrt (cbrt (+ re (hypot re im)))) (* (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im)))) (sqrt (cbrt (+ re (hypot re im)))) (sqrt (cbrt (+ re (hypot re im)))) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ (* 1/3 (* re (pow (/ 1 (pow im 2)) 1/3))) (+ (* 1/18 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3))) (exp (* 1/3 (- (log 2) (log (/ 1 re))))) (exp (* 1/3 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im)))))) 3.392 * * [simplify]: iteration 0: 82 enodes 3.412 * * [simplify]: iteration 1: 184 enodes 3.484 * * [simplify]: iteration 2: 566 enodes 3.923 * * [simplify]: iteration 3: 2969 enodes 5.135 * * [simplify]: iteration complete: 5000 enodes 5.135 * * [simplify]: Extracting #0: cost 33 inf + 0 5.137 * * [simplify]: Extracting #1: cost 505 inf + 2 5.142 * * [simplify]: Extracting #2: cost 1027 inf + 747 5.149 * * [simplify]: Extracting #3: cost 506 inf + 5485 5.155 * * [simplify]: Extracting #4: cost 257 inf + 7830 5.161 * * [simplify]: Extracting #5: cost 160 inf + 8534 5.170 * * [simplify]: Extracting #6: cost 77 inf + 9327 5.187 * * [simplify]: Extracting #7: cost 29 inf + 9831 5.198 * * [simplify]: Extracting #8: cost 1 inf + 10175 5.209 * * [simplify]: Extracting #9: cost 0 inf + 10185 5.220 * [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 (+ 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 (+ 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 (cbrt (+ re (hypot re im)))) (log1p (cbrt (+ re (hypot re im)))) (log (cbrt (+ re (hypot re im)))) (exp (cbrt (+ re (hypot re im)))) (cbrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))) (cbrt (cbrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))) 1 (cbrt (+ re (hypot re im))) 1 (cbrt (+ re (hypot re im))) (cbrt (+ (pow re 3) (pow (hypot re im) 3))) (cbrt (fma re re (* (hypot re im) (- (hypot re im) re)))) (cbrt (* (- re (hypot re im)) (+ re (hypot re im)))) (cbrt (- re (hypot re im))) (* (cbrt (cbrt (+ re (hypot re im)))) (cbrt (cbrt (+ re (hypot re im))))) (cbrt (cbrt (+ re (hypot re im)))) (+ re (hypot re im)) (sqrt (cbrt (+ re (hypot re im)))) (sqrt (cbrt (+ re (hypot re im)))) (+ im re) (* re 2) 0 (+ im re) (* re 2) 0 (+ im re) (* re 2) 0 (fma (* re (cbrt (/ 1 (* im im)))) 1/3 (fma (* (* re re) 1/18) (cbrt (/ 1 (pow im 5))) (cbrt im))) (* (pow 2 1/3) (pow re 1/3)) (cbrt (exp (+ (fma (log (/ -1 im)) -2 (log (/ -1 re))) (log 1/2)))) 5.221 * * * [progress]: adding candidates to table 5.771 * * [progress]: iteration 3 / 4 5.771 * * * [progress]: picking best candidate 5.818 * * * * [pick]: Picked # 5.818 * * * [progress]: localizing error 5.863 * * * [progress]: generating rewritten candidates 5.863 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 5.881 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 5.902 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 5.925 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2 1) 5.930 * * * [progress]: generating series expansions 5.930 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 5.930 * [backup-simplify]: Simplify (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) into (+ (hypot re im) re) 5.930 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 5.930 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 5.930 * [taylor]: Taking taylor expansion of (hypot re im) in im 5.930 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.931 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 5.931 * [taylor]: Taking taylor expansion of (* re re) in im 5.931 * [taylor]: Taking taylor expansion of re in im 5.931 * [backup-simplify]: Simplify re into re 5.931 * [taylor]: Taking taylor expansion of re in im 5.931 * [backup-simplify]: Simplify re into re 5.931 * [taylor]: Taking taylor expansion of (* im im) in im 5.931 * [taylor]: Taking taylor expansion of im in im 5.931 * [backup-simplify]: Simplify 0 into 0 5.931 * [backup-simplify]: Simplify 1 into 1 5.931 * [taylor]: Taking taylor expansion of im in im 5.931 * [backup-simplify]: Simplify 0 into 0 5.931 * [backup-simplify]: Simplify 1 into 1 5.931 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.932 * [backup-simplify]: Simplify (* 0 0) into 0 5.932 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.932 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.932 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.933 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.933 * [backup-simplify]: Simplify (+ 0 0) into 0 5.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.933 * [taylor]: Taking taylor expansion of re in im 5.933 * [backup-simplify]: Simplify re into re 5.934 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 5.934 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.934 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.934 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.934 * [taylor]: Taking taylor expansion of (* re re) in re 5.934 * [taylor]: Taking taylor expansion of re in re 5.934 * [backup-simplify]: Simplify 0 into 0 5.934 * [backup-simplify]: Simplify 1 into 1 5.934 * [taylor]: Taking taylor expansion of re in re 5.934 * [backup-simplify]: Simplify 0 into 0 5.934 * [backup-simplify]: Simplify 1 into 1 5.934 * [taylor]: Taking taylor expansion of (* im im) in re 5.934 * [taylor]: Taking taylor expansion of im in re 5.934 * [backup-simplify]: Simplify im into im 5.934 * [taylor]: Taking taylor expansion of im in re 5.934 * [backup-simplify]: Simplify im into im 5.934 * [backup-simplify]: Simplify (* 0 0) into 0 5.934 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.935 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.935 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.936 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.936 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.936 * [backup-simplify]: Simplify (+ 0 0) into 0 5.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.936 * [taylor]: Taking taylor expansion of re in re 5.936 * [backup-simplify]: Simplify 0 into 0 5.936 * [backup-simplify]: Simplify 1 into 1 5.936 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 5.936 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.937 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.937 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.937 * [taylor]: Taking taylor expansion of (* re re) in re 5.937 * [taylor]: Taking taylor expansion of re in re 5.937 * [backup-simplify]: Simplify 0 into 0 5.937 * [backup-simplify]: Simplify 1 into 1 5.937 * [taylor]: Taking taylor expansion of re in re 5.937 * [backup-simplify]: Simplify 0 into 0 5.937 * [backup-simplify]: Simplify 1 into 1 5.937 * [taylor]: Taking taylor expansion of (* im im) in re 5.937 * [taylor]: Taking taylor expansion of im in re 5.937 * [backup-simplify]: Simplify im into im 5.937 * [taylor]: Taking taylor expansion of im in re 5.937 * [backup-simplify]: Simplify im into im 5.937 * [backup-simplify]: Simplify (* 0 0) into 0 5.937 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.938 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.938 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.938 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.938 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.939 * [backup-simplify]: Simplify (+ 0 0) into 0 5.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.939 * [taylor]: Taking taylor expansion of re in re 5.939 * [backup-simplify]: Simplify 0 into 0 5.939 * [backup-simplify]: Simplify 1 into 1 5.939 * [backup-simplify]: Simplify (+ im 0) into im 5.939 * [taylor]: Taking taylor expansion of im in im 5.939 * [backup-simplify]: Simplify 0 into 0 5.939 * [backup-simplify]: Simplify 1 into 1 5.939 * [backup-simplify]: Simplify 0 into 0 5.940 * [backup-simplify]: Simplify (+ 0 1) into 1 5.940 * [taylor]: Taking taylor expansion of 1 in im 5.940 * [backup-simplify]: Simplify 1 into 1 5.940 * [backup-simplify]: Simplify 1 into 1 5.940 * [backup-simplify]: Simplify 1 into 1 5.941 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.941 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.942 * [backup-simplify]: Simplify (+ 1 0) into 1 5.943 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.943 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 5.943 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 5.943 * [taylor]: Taking taylor expansion of 1/2 in im 5.943 * [backup-simplify]: Simplify 1/2 into 1/2 5.943 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.943 * [taylor]: Taking taylor expansion of im in im 5.943 * [backup-simplify]: Simplify 0 into 0 5.943 * [backup-simplify]: Simplify 1 into 1 5.943 * [backup-simplify]: Simplify (/ 1 1) into 1 5.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.945 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.945 * [backup-simplify]: Simplify 0 into 0 5.945 * [backup-simplify]: Simplify 0 into 0 5.945 * [backup-simplify]: Simplify 0 into 0 5.945 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.946 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.946 * [backup-simplify]: Simplify (+ 0 0) into 0 5.946 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.946 * [backup-simplify]: Simplify (+ 0 0) into 0 5.946 * [taylor]: Taking taylor expansion of 0 in im 5.946 * [backup-simplify]: Simplify 0 into 0 5.946 * [backup-simplify]: Simplify 0 into 0 5.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.947 * [backup-simplify]: Simplify 0 into 0 5.947 * [backup-simplify]: Simplify 0 into 0 5.948 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 5.948 * [backup-simplify]: Simplify (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 5.948 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 5.948 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 5.948 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.948 * [taylor]: Taking taylor expansion of re in im 5.948 * [backup-simplify]: Simplify re into re 5.948 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.948 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 5.948 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.948 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 5.948 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 5.948 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.948 * [taylor]: Taking taylor expansion of re in im 5.948 * [backup-simplify]: Simplify re into re 5.948 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.948 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.948 * [taylor]: Taking taylor expansion of re in im 5.948 * [backup-simplify]: Simplify re into re 5.948 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.948 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 5.948 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.948 * [taylor]: Taking taylor expansion of im in im 5.948 * [backup-simplify]: Simplify 0 into 0 5.948 * [backup-simplify]: Simplify 1 into 1 5.949 * [backup-simplify]: Simplify (/ 1 1) into 1 5.949 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.949 * [taylor]: Taking taylor expansion of im in im 5.949 * [backup-simplify]: Simplify 0 into 0 5.949 * [backup-simplify]: Simplify 1 into 1 5.949 * [backup-simplify]: Simplify (/ 1 1) into 1 5.949 * [backup-simplify]: Simplify (* 1 1) into 1 5.949 * [backup-simplify]: Simplify (+ 0 1) into 1 5.950 * [backup-simplify]: Simplify (sqrt 1) into 1 5.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.951 * [backup-simplify]: Simplify (+ 0 0) into 0 5.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.951 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 5.951 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.951 * [taylor]: Taking taylor expansion of re in re 5.951 * [backup-simplify]: Simplify 0 into 0 5.952 * [backup-simplify]: Simplify 1 into 1 5.952 * [backup-simplify]: Simplify (/ 1 1) into 1 5.952 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.952 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.952 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.952 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.952 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.952 * [taylor]: Taking taylor expansion of re in re 5.952 * [backup-simplify]: Simplify 0 into 0 5.952 * [backup-simplify]: Simplify 1 into 1 5.952 * [backup-simplify]: Simplify (/ 1 1) into 1 5.952 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.952 * [taylor]: Taking taylor expansion of re in re 5.952 * [backup-simplify]: Simplify 0 into 0 5.952 * [backup-simplify]: Simplify 1 into 1 5.953 * [backup-simplify]: Simplify (/ 1 1) into 1 5.953 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.953 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.953 * [taylor]: Taking taylor expansion of im in re 5.953 * [backup-simplify]: Simplify im into im 5.953 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.953 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.953 * [taylor]: Taking taylor expansion of im in re 5.953 * [backup-simplify]: Simplify im into im 5.953 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.953 * [backup-simplify]: Simplify (* 1 1) into 1 5.953 * [backup-simplify]: Simplify (+ 1 0) into 1 5.953 * [backup-simplify]: Simplify (sqrt 1) into 1 5.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.955 * [backup-simplify]: Simplify (+ 0 0) into 0 5.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.955 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 5.955 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.955 * [taylor]: Taking taylor expansion of re in re 5.955 * [backup-simplify]: Simplify 0 into 0 5.955 * [backup-simplify]: Simplify 1 into 1 5.956 * [backup-simplify]: Simplify (/ 1 1) into 1 5.956 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.956 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.956 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.956 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.956 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.956 * [taylor]: Taking taylor expansion of re in re 5.956 * [backup-simplify]: Simplify 0 into 0 5.956 * [backup-simplify]: Simplify 1 into 1 5.956 * [backup-simplify]: Simplify (/ 1 1) into 1 5.956 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.956 * [taylor]: Taking taylor expansion of re in re 5.956 * [backup-simplify]: Simplify 0 into 0 5.956 * [backup-simplify]: Simplify 1 into 1 5.956 * [backup-simplify]: Simplify (/ 1 1) into 1 5.956 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.956 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.956 * [taylor]: Taking taylor expansion of im in re 5.956 * [backup-simplify]: Simplify im into im 5.957 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.957 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.957 * [taylor]: Taking taylor expansion of im in re 5.957 * [backup-simplify]: Simplify im into im 5.957 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.957 * [backup-simplify]: Simplify (* 1 1) into 1 5.957 * [backup-simplify]: Simplify (+ 1 0) into 1 5.957 * [backup-simplify]: Simplify (sqrt 1) into 1 5.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.959 * [backup-simplify]: Simplify (+ 0 0) into 0 5.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.959 * [backup-simplify]: Simplify (+ 1 1) into 2 5.959 * [taylor]: Taking taylor expansion of 2 in im 5.960 * [backup-simplify]: Simplify 2 into 2 5.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.960 * [backup-simplify]: Simplify (+ 0 0) into 0 5.960 * [taylor]: Taking taylor expansion of 0 in im 5.960 * [backup-simplify]: Simplify 0 into 0 5.960 * [backup-simplify]: Simplify 2 into 2 5.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.962 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 5.963 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.963 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.963 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 5.963 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.963 * [taylor]: Taking taylor expansion of 1/2 in im 5.963 * [backup-simplify]: Simplify 1/2 into 1/2 5.963 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.964 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.964 * [taylor]: Taking taylor expansion of im in im 5.964 * [backup-simplify]: Simplify 0 into 0 5.964 * [backup-simplify]: Simplify 1 into 1 5.964 * [backup-simplify]: Simplify (* 1 1) into 1 5.964 * [backup-simplify]: Simplify (/ 1 1) into 1 5.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.965 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.965 * [backup-simplify]: Simplify 0 into 0 5.965 * [backup-simplify]: Simplify 0 into 0 5.965 * [backup-simplify]: Simplify 0 into 0 5.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 5.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 5.971 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 5.971 * [backup-simplify]: Simplify (+ 0 0) into 0 5.972 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.972 * [backup-simplify]: Simplify (+ 0 0) into 0 5.972 * [taylor]: Taking taylor expansion of 0 in im 5.972 * [backup-simplify]: Simplify 0 into 0 5.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.974 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.974 * [backup-simplify]: Simplify 0 into 0 5.974 * [backup-simplify]: Simplify 0 into 0 5.974 * [backup-simplify]: Simplify 0 into 0 5.974 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 5.974 * [backup-simplify]: Simplify (+ (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 5.974 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 5.974 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 5.974 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 5.974 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.974 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 5.974 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 5.974 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.974 * [taylor]: Taking taylor expansion of -1 in im 5.974 * [backup-simplify]: Simplify -1 into -1 5.974 * [taylor]: Taking taylor expansion of re in im 5.974 * [backup-simplify]: Simplify re into re 5.974 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 5.974 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.974 * [taylor]: Taking taylor expansion of -1 in im 5.974 * [backup-simplify]: Simplify -1 into -1 5.974 * [taylor]: Taking taylor expansion of re in im 5.974 * [backup-simplify]: Simplify re into re 5.975 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 5.975 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 5.975 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.975 * [taylor]: Taking taylor expansion of -1 in im 5.975 * [backup-simplify]: Simplify -1 into -1 5.975 * [taylor]: Taking taylor expansion of im in im 5.975 * [backup-simplify]: Simplify 0 into 0 5.975 * [backup-simplify]: Simplify 1 into 1 5.975 * [backup-simplify]: Simplify (/ -1 1) into -1 5.975 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.975 * [taylor]: Taking taylor expansion of -1 in im 5.975 * [backup-simplify]: Simplify -1 into -1 5.975 * [taylor]: Taking taylor expansion of im in im 5.975 * [backup-simplify]: Simplify 0 into 0 5.975 * [backup-simplify]: Simplify 1 into 1 5.975 * [backup-simplify]: Simplify (/ -1 1) into -1 5.975 * [backup-simplify]: Simplify (* -1 -1) into 1 5.976 * [backup-simplify]: Simplify (+ 0 1) into 1 5.976 * [backup-simplify]: Simplify (sqrt 1) into 1 5.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.977 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.978 * [backup-simplify]: Simplify (+ 0 0) into 0 5.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.978 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.978 * [taylor]: Taking taylor expansion of re in im 5.978 * [backup-simplify]: Simplify re into re 5.978 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.978 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 5.978 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.978 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.978 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.978 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.978 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.978 * [taylor]: Taking taylor expansion of -1 in re 5.978 * [backup-simplify]: Simplify -1 into -1 5.978 * [taylor]: Taking taylor expansion of re in re 5.978 * [backup-simplify]: Simplify 0 into 0 5.978 * [backup-simplify]: Simplify 1 into 1 5.979 * [backup-simplify]: Simplify (/ -1 1) into -1 5.979 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.979 * [taylor]: Taking taylor expansion of -1 in re 5.979 * [backup-simplify]: Simplify -1 into -1 5.979 * [taylor]: Taking taylor expansion of re in re 5.979 * [backup-simplify]: Simplify 0 into 0 5.979 * [backup-simplify]: Simplify 1 into 1 5.979 * [backup-simplify]: Simplify (/ -1 1) into -1 5.979 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.979 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.979 * [taylor]: Taking taylor expansion of -1 in re 5.979 * [backup-simplify]: Simplify -1 into -1 5.979 * [taylor]: Taking taylor expansion of im in re 5.979 * [backup-simplify]: Simplify im into im 5.979 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.979 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.979 * [taylor]: Taking taylor expansion of -1 in re 5.979 * [backup-simplify]: Simplify -1 into -1 5.979 * [taylor]: Taking taylor expansion of im in re 5.979 * [backup-simplify]: Simplify im into im 5.979 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.979 * [backup-simplify]: Simplify (* -1 -1) into 1 5.980 * [backup-simplify]: Simplify (+ 1 0) into 1 5.980 * [backup-simplify]: Simplify (sqrt 1) into 1 5.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.981 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.981 * [backup-simplify]: Simplify (+ 0 0) into 0 5.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.982 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.982 * [taylor]: Taking taylor expansion of re in re 5.982 * [backup-simplify]: Simplify 0 into 0 5.982 * [backup-simplify]: Simplify 1 into 1 5.982 * [backup-simplify]: Simplify (/ 1 1) into 1 5.982 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 5.982 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.982 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.982 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.982 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.982 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.982 * [taylor]: Taking taylor expansion of -1 in re 5.982 * [backup-simplify]: Simplify -1 into -1 5.982 * [taylor]: Taking taylor expansion of re in re 5.982 * [backup-simplify]: Simplify 0 into 0 5.982 * [backup-simplify]: Simplify 1 into 1 5.983 * [backup-simplify]: Simplify (/ -1 1) into -1 5.983 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.983 * [taylor]: Taking taylor expansion of -1 in re 5.983 * [backup-simplify]: Simplify -1 into -1 5.983 * [taylor]: Taking taylor expansion of re in re 5.983 * [backup-simplify]: Simplify 0 into 0 5.983 * [backup-simplify]: Simplify 1 into 1 5.983 * [backup-simplify]: Simplify (/ -1 1) into -1 5.983 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.983 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.983 * [taylor]: Taking taylor expansion of -1 in re 5.983 * [backup-simplify]: Simplify -1 into -1 5.983 * [taylor]: Taking taylor expansion of im in re 5.983 * [backup-simplify]: Simplify im into im 5.983 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.983 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.983 * [taylor]: Taking taylor expansion of -1 in re 5.983 * [backup-simplify]: Simplify -1 into -1 5.983 * [taylor]: Taking taylor expansion of im in re 5.983 * [backup-simplify]: Simplify im into im 5.983 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.984 * [backup-simplify]: Simplify (* -1 -1) into 1 5.984 * [backup-simplify]: Simplify (+ 1 0) into 1 5.984 * [backup-simplify]: Simplify (sqrt 1) into 1 5.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.987 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.987 * [backup-simplify]: Simplify (+ 0 0) into 0 5.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.988 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.988 * [taylor]: Taking taylor expansion of re in re 5.988 * [backup-simplify]: Simplify 0 into 0 5.988 * [backup-simplify]: Simplify 1 into 1 5.988 * [backup-simplify]: Simplify (/ 1 1) into 1 5.989 * [backup-simplify]: Simplify (- 1) into -1 5.989 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.989 * [taylor]: Taking taylor expansion of 0 in im 5.989 * [backup-simplify]: Simplify 0 into 0 5.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.991 * [backup-simplify]: Simplify (- 0) into 0 5.991 * [backup-simplify]: Simplify (+ 0 0) into 0 5.991 * [taylor]: Taking taylor expansion of 0 in im 5.991 * [backup-simplify]: Simplify 0 into 0 5.991 * [backup-simplify]: Simplify 0 into 0 5.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.994 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.994 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 5.994 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.996 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.997 * [backup-simplify]: Simplify (- 0) into 0 5.997 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 5.997 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.997 * [taylor]: Taking taylor expansion of 1/2 in im 5.997 * [backup-simplify]: Simplify 1/2 into 1/2 5.997 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.997 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.997 * [taylor]: Taking taylor expansion of im in im 5.997 * [backup-simplify]: Simplify 0 into 0 5.997 * [backup-simplify]: Simplify 1 into 1 5.998 * [backup-simplify]: Simplify (* 1 1) into 1 5.998 * [backup-simplify]: Simplify (/ 1 1) into 1 5.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.000 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.000 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify 0 into 0 6.001 * [backup-simplify]: Simplify 0 into 0 6.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.004 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 6.004 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 6.004 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 6.004 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 6.005 * [backup-simplify]: Simplify (+ 0 0) into 0 6.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.007 * [backup-simplify]: Simplify (- 0) into 0 6.007 * [backup-simplify]: Simplify (+ 0 0) into 0 6.007 * [taylor]: Taking taylor expansion of 0 in im 6.007 * [backup-simplify]: Simplify 0 into 0 6.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.010 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.010 * [backup-simplify]: Simplify 0 into 0 6.010 * [backup-simplify]: Simplify 0 into 0 6.010 * [backup-simplify]: Simplify 0 into 0 6.010 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 6.010 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im) 6.010 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 6.010 * [taylor]: Taking taylor expansion of (hypot re im) in im 6.011 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.011 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 6.011 * [taylor]: Taking taylor expansion of (* re re) in im 6.011 * [taylor]: Taking taylor expansion of re in im 6.011 * [backup-simplify]: Simplify re into re 6.011 * [taylor]: Taking taylor expansion of re in im 6.011 * [backup-simplify]: Simplify re into re 6.011 * [taylor]: Taking taylor expansion of (* im im) in im 6.011 * [taylor]: Taking taylor expansion of im in im 6.011 * [backup-simplify]: Simplify 0 into 0 6.011 * [backup-simplify]: Simplify 1 into 1 6.011 * [taylor]: Taking taylor expansion of im in im 6.011 * [backup-simplify]: Simplify 0 into 0 6.011 * [backup-simplify]: Simplify 1 into 1 6.011 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.011 * [backup-simplify]: Simplify (* 0 0) into 0 6.012 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.012 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.012 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.013 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.013 * [backup-simplify]: Simplify (+ 0 0) into 0 6.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.013 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.013 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.013 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.013 * [taylor]: Taking taylor expansion of (* re re) in re 6.013 * [taylor]: Taking taylor expansion of re in re 6.013 * [backup-simplify]: Simplify 0 into 0 6.013 * [backup-simplify]: Simplify 1 into 1 6.013 * [taylor]: Taking taylor expansion of re in re 6.013 * [backup-simplify]: Simplify 0 into 0 6.014 * [backup-simplify]: Simplify 1 into 1 6.014 * [taylor]: Taking taylor expansion of (* im im) in re 6.014 * [taylor]: Taking taylor expansion of im in re 6.014 * [backup-simplify]: Simplify im into im 6.014 * [taylor]: Taking taylor expansion of im in re 6.014 * [backup-simplify]: Simplify im into im 6.014 * [backup-simplify]: Simplify (* 0 0) into 0 6.014 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.014 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.014 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.015 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.015 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.016 * [backup-simplify]: Simplify (+ 0 0) into 0 6.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.016 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.016 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.016 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.016 * [taylor]: Taking taylor expansion of (* re re) in re 6.016 * [taylor]: Taking taylor expansion of re in re 6.016 * [backup-simplify]: Simplify 0 into 0 6.016 * [backup-simplify]: Simplify 1 into 1 6.016 * [taylor]: Taking taylor expansion of re in re 6.016 * [backup-simplify]: Simplify 0 into 0 6.016 * [backup-simplify]: Simplify 1 into 1 6.016 * [taylor]: Taking taylor expansion of (* im im) in re 6.016 * [taylor]: Taking taylor expansion of im in re 6.016 * [backup-simplify]: Simplify im into im 6.016 * [taylor]: Taking taylor expansion of im in re 6.016 * [backup-simplify]: Simplify im into im 6.017 * [backup-simplify]: Simplify (* 0 0) into 0 6.017 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.017 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.017 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.018 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.018 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.018 * [backup-simplify]: Simplify (+ 0 0) into 0 6.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.018 * [taylor]: Taking taylor expansion of im in im 6.018 * [backup-simplify]: Simplify 0 into 0 6.018 * [backup-simplify]: Simplify 1 into 1 6.018 * [backup-simplify]: Simplify 0 into 0 6.019 * [taylor]: Taking taylor expansion of 0 in im 6.019 * [backup-simplify]: Simplify 0 into 0 6.019 * [backup-simplify]: Simplify 0 into 0 6.019 * [backup-simplify]: Simplify 1 into 1 6.019 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.020 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.020 * [backup-simplify]: Simplify (+ 1 0) into 1 6.021 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.021 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.021 * [taylor]: Taking taylor expansion of 1/2 in im 6.021 * [backup-simplify]: Simplify 1/2 into 1/2 6.021 * [taylor]: Taking taylor expansion of im in im 6.021 * [backup-simplify]: Simplify 0 into 0 6.021 * [backup-simplify]: Simplify 1 into 1 6.022 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.022 * [backup-simplify]: Simplify 0 into 0 6.022 * [backup-simplify]: Simplify 0 into 0 6.022 * [backup-simplify]: Simplify 0 into 0 6.023 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.025 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.025 * [backup-simplify]: Simplify (+ 0 0) into 0 6.025 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.025 * [taylor]: Taking taylor expansion of 0 in im 6.025 * [backup-simplify]: Simplify 0 into 0 6.025 * [backup-simplify]: Simplify 0 into 0 6.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.026 * [backup-simplify]: Simplify 0 into 0 6.026 * [backup-simplify]: Simplify 0 into 0 6.026 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.027 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im)) 6.027 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 6.027 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 6.027 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.027 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 6.027 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 6.027 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.027 * [taylor]: Taking taylor expansion of re in im 6.027 * [backup-simplify]: Simplify re into re 6.027 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.027 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.027 * [taylor]: Taking taylor expansion of re in im 6.027 * [backup-simplify]: Simplify re into re 6.027 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.027 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 6.027 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.027 * [taylor]: Taking taylor expansion of im in im 6.027 * [backup-simplify]: Simplify 0 into 0 6.027 * [backup-simplify]: Simplify 1 into 1 6.028 * [backup-simplify]: Simplify (/ 1 1) into 1 6.028 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.028 * [taylor]: Taking taylor expansion of im in im 6.028 * [backup-simplify]: Simplify 0 into 0 6.028 * [backup-simplify]: Simplify 1 into 1 6.028 * [backup-simplify]: Simplify (/ 1 1) into 1 6.029 * [backup-simplify]: Simplify (* 1 1) into 1 6.029 * [backup-simplify]: Simplify (+ 0 1) into 1 6.029 * [backup-simplify]: Simplify (sqrt 1) into 1 6.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.032 * [backup-simplify]: Simplify (+ 0 0) into 0 6.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.033 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.033 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.033 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.033 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.033 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.033 * [taylor]: Taking taylor expansion of re in re 6.033 * [backup-simplify]: Simplify 0 into 0 6.033 * [backup-simplify]: Simplify 1 into 1 6.033 * [backup-simplify]: Simplify (/ 1 1) into 1 6.033 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.033 * [taylor]: Taking taylor expansion of re in re 6.033 * [backup-simplify]: Simplify 0 into 0 6.033 * [backup-simplify]: Simplify 1 into 1 6.034 * [backup-simplify]: Simplify (/ 1 1) into 1 6.034 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.034 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.034 * [taylor]: Taking taylor expansion of im in re 6.034 * [backup-simplify]: Simplify im into im 6.034 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.034 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.034 * [taylor]: Taking taylor expansion of im in re 6.034 * [backup-simplify]: Simplify im into im 6.034 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.034 * [backup-simplify]: Simplify (* 1 1) into 1 6.035 * [backup-simplify]: Simplify (+ 1 0) into 1 6.035 * [backup-simplify]: Simplify (sqrt 1) into 1 6.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.038 * [backup-simplify]: Simplify (+ 0 0) into 0 6.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.038 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.038 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.039 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.039 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.039 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.039 * [taylor]: Taking taylor expansion of re in re 6.039 * [backup-simplify]: Simplify 0 into 0 6.039 * [backup-simplify]: Simplify 1 into 1 6.039 * [backup-simplify]: Simplify (/ 1 1) into 1 6.039 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.039 * [taylor]: Taking taylor expansion of re in re 6.039 * [backup-simplify]: Simplify 0 into 0 6.039 * [backup-simplify]: Simplify 1 into 1 6.040 * [backup-simplify]: Simplify (/ 1 1) into 1 6.040 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.040 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.040 * [taylor]: Taking taylor expansion of im in re 6.040 * [backup-simplify]: Simplify im into im 6.040 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.040 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.040 * [taylor]: Taking taylor expansion of im in re 6.040 * [backup-simplify]: Simplify im into im 6.040 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.040 * [backup-simplify]: Simplify (* 1 1) into 1 6.041 * [backup-simplify]: Simplify (+ 1 0) into 1 6.041 * [backup-simplify]: Simplify (sqrt 1) into 1 6.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.044 * [backup-simplify]: Simplify (+ 0 0) into 0 6.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.045 * [taylor]: Taking taylor expansion of 1 in im 6.045 * [backup-simplify]: Simplify 1 into 1 6.045 * [taylor]: Taking taylor expansion of 0 in im 6.045 * [backup-simplify]: Simplify 0 into 0 6.045 * [backup-simplify]: Simplify 1 into 1 6.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.048 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 6.048 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.049 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.049 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.049 * [taylor]: Taking taylor expansion of 1/2 in im 6.049 * [backup-simplify]: Simplify 1/2 into 1/2 6.049 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.049 * [taylor]: Taking taylor expansion of im in im 6.049 * [backup-simplify]: Simplify 0 into 0 6.049 * [backup-simplify]: Simplify 1 into 1 6.050 * [backup-simplify]: Simplify (* 1 1) into 1 6.050 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.052 * [backup-simplify]: Simplify 0 into 0 6.052 * [backup-simplify]: Simplify 0 into 0 6.052 * [backup-simplify]: Simplify 0 into 0 6.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 6.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 6.055 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 6.056 * [backup-simplify]: Simplify (+ 0 0) into 0 6.056 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.056 * [taylor]: Taking taylor expansion of 0 in im 6.056 * [backup-simplify]: Simplify 0 into 0 6.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify 0 into 0 6.058 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.059 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im)) 6.059 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 6.059 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 6.059 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.059 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 6.059 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 6.059 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.059 * [taylor]: Taking taylor expansion of -1 in im 6.059 * [backup-simplify]: Simplify -1 into -1 6.059 * [taylor]: Taking taylor expansion of re in im 6.059 * [backup-simplify]: Simplify re into re 6.059 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 6.059 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.059 * [taylor]: Taking taylor expansion of -1 in im 6.059 * [backup-simplify]: Simplify -1 into -1 6.059 * [taylor]: Taking taylor expansion of re in im 6.060 * [backup-simplify]: Simplify re into re 6.060 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 6.060 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 6.060 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.060 * [taylor]: Taking taylor expansion of -1 in im 6.060 * [backup-simplify]: Simplify -1 into -1 6.060 * [taylor]: Taking taylor expansion of im in im 6.060 * [backup-simplify]: Simplify 0 into 0 6.060 * [backup-simplify]: Simplify 1 into 1 6.060 * [backup-simplify]: Simplify (/ -1 1) into -1 6.060 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.060 * [taylor]: Taking taylor expansion of -1 in im 6.060 * [backup-simplify]: Simplify -1 into -1 6.060 * [taylor]: Taking taylor expansion of im in im 6.060 * [backup-simplify]: Simplify 0 into 0 6.060 * [backup-simplify]: Simplify 1 into 1 6.061 * [backup-simplify]: Simplify (/ -1 1) into -1 6.061 * [backup-simplify]: Simplify (* -1 -1) into 1 6.062 * [backup-simplify]: Simplify (+ 0 1) into 1 6.062 * [backup-simplify]: Simplify (sqrt 1) into 1 6.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.064 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.065 * [backup-simplify]: Simplify (+ 0 0) into 0 6.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.066 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.066 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.066 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.066 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.066 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.066 * [taylor]: Taking taylor expansion of -1 in re 6.066 * [backup-simplify]: Simplify -1 into -1 6.066 * [taylor]: Taking taylor expansion of re in re 6.066 * [backup-simplify]: Simplify 0 into 0 6.066 * [backup-simplify]: Simplify 1 into 1 6.066 * [backup-simplify]: Simplify (/ -1 1) into -1 6.066 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.067 * [taylor]: Taking taylor expansion of -1 in re 6.067 * [backup-simplify]: Simplify -1 into -1 6.067 * [taylor]: Taking taylor expansion of re in re 6.067 * [backup-simplify]: Simplify 0 into 0 6.067 * [backup-simplify]: Simplify 1 into 1 6.067 * [backup-simplify]: Simplify (/ -1 1) into -1 6.067 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.067 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.067 * [taylor]: Taking taylor expansion of -1 in re 6.067 * [backup-simplify]: Simplify -1 into -1 6.067 * [taylor]: Taking taylor expansion of im in re 6.067 * [backup-simplify]: Simplify im into im 6.067 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.067 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.067 * [taylor]: Taking taylor expansion of -1 in re 6.067 * [backup-simplify]: Simplify -1 into -1 6.067 * [taylor]: Taking taylor expansion of im in re 6.067 * [backup-simplify]: Simplify im into im 6.068 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.068 * [backup-simplify]: Simplify (* -1 -1) into 1 6.068 * [backup-simplify]: Simplify (+ 1 0) into 1 6.069 * [backup-simplify]: Simplify (sqrt 1) into 1 6.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.071 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.072 * [backup-simplify]: Simplify (+ 0 0) into 0 6.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.072 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.072 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.072 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.072 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.072 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.072 * [taylor]: Taking taylor expansion of -1 in re 6.072 * [backup-simplify]: Simplify -1 into -1 6.072 * [taylor]: Taking taylor expansion of re in re 6.072 * [backup-simplify]: Simplify 0 into 0 6.072 * [backup-simplify]: Simplify 1 into 1 6.073 * [backup-simplify]: Simplify (/ -1 1) into -1 6.073 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.073 * [taylor]: Taking taylor expansion of -1 in re 6.073 * [backup-simplify]: Simplify -1 into -1 6.073 * [taylor]: Taking taylor expansion of re in re 6.073 * [backup-simplify]: Simplify 0 into 0 6.073 * [backup-simplify]: Simplify 1 into 1 6.073 * [backup-simplify]: Simplify (/ -1 1) into -1 6.073 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.073 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.073 * [taylor]: Taking taylor expansion of -1 in re 6.073 * [backup-simplify]: Simplify -1 into -1 6.073 * [taylor]: Taking taylor expansion of im in re 6.073 * [backup-simplify]: Simplify im into im 6.073 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.073 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.073 * [taylor]: Taking taylor expansion of -1 in re 6.073 * [backup-simplify]: Simplify -1 into -1 6.073 * [taylor]: Taking taylor expansion of im in re 6.073 * [backup-simplify]: Simplify im into im 6.073 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.074 * [backup-simplify]: Simplify (* -1 -1) into 1 6.074 * [backup-simplify]: Simplify (+ 1 0) into 1 6.074 * [backup-simplify]: Simplify (sqrt 1) into 1 6.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.075 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.076 * [backup-simplify]: Simplify (+ 0 0) into 0 6.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.076 * [taylor]: Taking taylor expansion of 1 in im 6.076 * [backup-simplify]: Simplify 1 into 1 6.076 * [taylor]: Taking taylor expansion of 0 in im 6.076 * [backup-simplify]: Simplify 0 into 0 6.076 * [backup-simplify]: Simplify 1 into 1 6.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.078 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 6.078 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 6.078 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.079 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.079 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.079 * [taylor]: Taking taylor expansion of 1/2 in im 6.079 * [backup-simplify]: Simplify 1/2 into 1/2 6.079 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.079 * [taylor]: Taking taylor expansion of im in im 6.079 * [backup-simplify]: Simplify 0 into 0 6.079 * [backup-simplify]: Simplify 1 into 1 6.079 * [backup-simplify]: Simplify (* 1 1) into 1 6.079 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.080 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify 0 into 0 6.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.082 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 6.082 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 6.082 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 6.082 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 6.083 * [backup-simplify]: Simplify (+ 0 0) into 0 6.083 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.083 * [taylor]: Taking taylor expansion of 0 in im 6.083 * [backup-simplify]: Simplify 0 into 0 6.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.084 * [backup-simplify]: Simplify 0 into 0 6.084 * [backup-simplify]: Simplify 0 into 0 6.084 * [backup-simplify]: Simplify 0 into 0 6.084 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.084 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 6.085 * [backup-simplify]: Simplify (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)) into (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) 6.085 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in (re im) around 0 6.085 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in im 6.085 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.085 * [taylor]: Taking taylor expansion of 2.0 in im 6.085 * [backup-simplify]: Simplify 2.0 into 2.0 6.085 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.086 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im 6.086 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 6.086 * [taylor]: Taking taylor expansion of (hypot re im) in im 6.086 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.086 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 6.086 * [taylor]: Taking taylor expansion of (* re re) in im 6.086 * [taylor]: Taking taylor expansion of re in im 6.086 * [backup-simplify]: Simplify re into re 6.086 * [taylor]: Taking taylor expansion of re in im 6.086 * [backup-simplify]: Simplify re into re 6.086 * [taylor]: Taking taylor expansion of (* im im) in im 6.086 * [taylor]: Taking taylor expansion of im in im 6.086 * [backup-simplify]: Simplify 0 into 0 6.086 * [backup-simplify]: Simplify 1 into 1 6.086 * [taylor]: Taking taylor expansion of im in im 6.086 * [backup-simplify]: Simplify 0 into 0 6.086 * [backup-simplify]: Simplify 1 into 1 6.086 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.086 * [backup-simplify]: Simplify (* 0 0) into 0 6.086 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.086 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.086 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.087 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.087 * [backup-simplify]: Simplify (+ 0 0) into 0 6.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.087 * [taylor]: Taking taylor expansion of re in im 6.087 * [backup-simplify]: Simplify re into re 6.087 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 6.087 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 6.088 * [backup-simplify]: Simplify (+ 0 0) into 0 6.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 6.088 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re 6.088 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.088 * [taylor]: Taking taylor expansion of 2.0 in re 6.088 * [backup-simplify]: Simplify 2.0 into 2.0 6.088 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.088 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 6.088 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 6.088 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.089 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.089 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.089 * [taylor]: Taking taylor expansion of (* re re) in re 6.089 * [taylor]: Taking taylor expansion of re in re 6.089 * [backup-simplify]: Simplify 0 into 0 6.089 * [backup-simplify]: Simplify 1 into 1 6.089 * [taylor]: Taking taylor expansion of re in re 6.089 * [backup-simplify]: Simplify 0 into 0 6.089 * [backup-simplify]: Simplify 1 into 1 6.089 * [taylor]: Taking taylor expansion of (* im im) in re 6.089 * [taylor]: Taking taylor expansion of im in re 6.089 * [backup-simplify]: Simplify im into im 6.089 * [taylor]: Taking taylor expansion of im in re 6.089 * [backup-simplify]: Simplify im into im 6.089 * [backup-simplify]: Simplify (* 0 0) into 0 6.089 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.089 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.089 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.090 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.090 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.090 * [backup-simplify]: Simplify (+ 0 0) into 0 6.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.090 * [taylor]: Taking taylor expansion of re in re 6.090 * [backup-simplify]: Simplify 0 into 0 6.090 * [backup-simplify]: Simplify 1 into 1 6.090 * [backup-simplify]: Simplify (+ im 0) into im 6.090 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 6.090 * [backup-simplify]: Simplify (+ 0 1) into 1 6.090 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 6.090 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re 6.091 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.091 * [taylor]: Taking taylor expansion of 2.0 in re 6.091 * [backup-simplify]: Simplify 2.0 into 2.0 6.091 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.091 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 6.091 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 6.091 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.091 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.091 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.091 * [taylor]: Taking taylor expansion of (* re re) in re 6.091 * [taylor]: Taking taylor expansion of re in re 6.091 * [backup-simplify]: Simplify 0 into 0 6.091 * [backup-simplify]: Simplify 1 into 1 6.091 * [taylor]: Taking taylor expansion of re in re 6.091 * [backup-simplify]: Simplify 0 into 0 6.091 * [backup-simplify]: Simplify 1 into 1 6.091 * [taylor]: Taking taylor expansion of (* im im) in re 6.091 * [taylor]: Taking taylor expansion of im in re 6.091 * [backup-simplify]: Simplify im into im 6.092 * [taylor]: Taking taylor expansion of im in re 6.092 * [backup-simplify]: Simplify im into im 6.092 * [backup-simplify]: Simplify (* 0 0) into 0 6.092 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.092 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.092 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.092 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.092 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.093 * [backup-simplify]: Simplify (+ 0 0) into 0 6.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.093 * [taylor]: Taking taylor expansion of re in re 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify 1 into 1 6.093 * [backup-simplify]: Simplify (+ im 0) into im 6.093 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 6.093 * [backup-simplify]: Simplify (+ 0 1) into 1 6.093 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 6.094 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 6.094 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 6.094 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.094 * [taylor]: Taking taylor expansion of 2.0 in im 6.094 * [backup-simplify]: Simplify 2.0 into 2.0 6.098 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.099 * [taylor]: Taking taylor expansion of (sqrt im) in im 6.099 * [taylor]: Taking taylor expansion of im in im 6.099 * [backup-simplify]: Simplify 0 into 0 6.099 * [backup-simplify]: Simplify 1 into 1 6.099 * [backup-simplify]: Simplify (sqrt 0) into 0 6.100 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.100 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 6.100 * [backup-simplify]: Simplify 0 into 0 6.101 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 6.101 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 6.101 * [taylor]: Taking taylor expansion of 1/2 in im 6.101 * [backup-simplify]: Simplify 1/2 into 1/2 6.101 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 6.101 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.101 * [taylor]: Taking taylor expansion of 2.0 in im 6.101 * [backup-simplify]: Simplify 2.0 into 2.0 6.101 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.102 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 6.102 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.102 * [taylor]: Taking taylor expansion of im in im 6.102 * [backup-simplify]: Simplify 0 into 0 6.102 * [backup-simplify]: Simplify 1 into 1 6.102 * [backup-simplify]: Simplify (/ 1 1) into 1 6.102 * [backup-simplify]: Simplify (sqrt 0) into 0 6.103 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.104 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 6.105 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 6.107 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 6.108 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.109 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 6.111 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.112 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.112 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.113 * [backup-simplify]: Simplify (+ 1 0) into 1 6.114 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.114 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 6.114 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3)))) 6.116 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.117 * [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))))) 6.117 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 6.117 * [taylor]: Taking taylor expansion of 1/8 in im 6.117 * [backup-simplify]: Simplify 1/8 into 1/8 6.117 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 6.117 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.117 * [taylor]: Taking taylor expansion of 2.0 in im 6.117 * [backup-simplify]: Simplify 2.0 into 2.0 6.117 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.118 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 6.118 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 6.118 * [taylor]: Taking taylor expansion of (pow im 3) in im 6.118 * [taylor]: Taking taylor expansion of im in im 6.118 * [backup-simplify]: Simplify 0 into 0 6.118 * [backup-simplify]: Simplify 1 into 1 6.118 * [backup-simplify]: Simplify (* 1 1) into 1 6.119 * [backup-simplify]: Simplify (* 1 1) into 1 6.119 * [backup-simplify]: Simplify (/ 1 1) into 1 6.120 * [backup-simplify]: Simplify (sqrt 0) into 0 6.121 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.125 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.126 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.127 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 6.129 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 6.129 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 6.132 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 6.133 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.136 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 6.136 * [backup-simplify]: Simplify (sqrt (* (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 2.0)) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) 6.136 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0 6.136 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 6.136 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.136 * [taylor]: Taking taylor expansion of 2.0 in im 6.136 * [backup-simplify]: Simplify 2.0 into 2.0 6.137 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 6.137 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 6.137 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.137 * [taylor]: Taking taylor expansion of re in im 6.137 * [backup-simplify]: Simplify re into re 6.137 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.137 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 6.137 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.138 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 6.138 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 6.138 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.138 * [taylor]: Taking taylor expansion of re in im 6.138 * [backup-simplify]: Simplify re into re 6.138 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.138 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.138 * [taylor]: Taking taylor expansion of re in im 6.138 * [backup-simplify]: Simplify re into re 6.138 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.138 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 6.138 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.138 * [taylor]: Taking taylor expansion of im in im 6.138 * [backup-simplify]: Simplify 0 into 0 6.138 * [backup-simplify]: Simplify 1 into 1 6.138 * [backup-simplify]: Simplify (/ 1 1) into 1 6.138 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.138 * [taylor]: Taking taylor expansion of im in im 6.138 * [backup-simplify]: Simplify 0 into 0 6.138 * [backup-simplify]: Simplify 1 into 1 6.138 * [backup-simplify]: Simplify (/ 1 1) into 1 6.139 * [backup-simplify]: Simplify (* 1 1) into 1 6.139 * [backup-simplify]: Simplify (+ 0 1) into 1 6.139 * [backup-simplify]: Simplify (sqrt 1) into 1 6.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.141 * [backup-simplify]: Simplify (+ 0 0) into 0 6.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.141 * [backup-simplify]: Simplify (+ 0 1) into 1 6.141 * [backup-simplify]: Simplify (sqrt 0) into 0 6.142 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.142 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 6.142 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.142 * [taylor]: Taking taylor expansion of 2.0 in re 6.142 * [backup-simplify]: Simplify 2.0 into 2.0 6.143 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 6.143 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 6.143 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.143 * [taylor]: Taking taylor expansion of re in re 6.143 * [backup-simplify]: Simplify 0 into 0 6.143 * [backup-simplify]: Simplify 1 into 1 6.143 * [backup-simplify]: Simplify (/ 1 1) into 1 6.144 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.144 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.144 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.144 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.144 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.144 * [taylor]: Taking taylor expansion of re in re 6.144 * [backup-simplify]: Simplify 0 into 0 6.144 * [backup-simplify]: Simplify 1 into 1 6.144 * [backup-simplify]: Simplify (/ 1 1) into 1 6.144 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.144 * [taylor]: Taking taylor expansion of re in re 6.144 * [backup-simplify]: Simplify 0 into 0 6.144 * [backup-simplify]: Simplify 1 into 1 6.144 * [backup-simplify]: Simplify (/ 1 1) into 1 6.144 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.144 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.144 * [taylor]: Taking taylor expansion of im in re 6.144 * [backup-simplify]: Simplify im into im 6.144 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.144 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.144 * [taylor]: Taking taylor expansion of im in re 6.144 * [backup-simplify]: Simplify im into im 6.144 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.145 * [backup-simplify]: Simplify (* 1 1) into 1 6.145 * [backup-simplify]: Simplify (+ 1 0) into 1 6.145 * [backup-simplify]: Simplify (sqrt 1) into 1 6.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.147 * [backup-simplify]: Simplify (+ 0 0) into 0 6.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.147 * [backup-simplify]: Simplify (+ 1 1) into 2 6.148 * [backup-simplify]: Simplify (sqrt 0) into 0 6.148 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 6.148 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 6.148 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.148 * [taylor]: Taking taylor expansion of 2.0 in re 6.148 * [backup-simplify]: Simplify 2.0 into 2.0 6.149 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 6.149 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 6.149 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.149 * [taylor]: Taking taylor expansion of re in re 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify 1 into 1 6.149 * [backup-simplify]: Simplify (/ 1 1) into 1 6.149 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.150 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.150 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.150 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.150 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.150 * [taylor]: Taking taylor expansion of re in re 6.150 * [backup-simplify]: Simplify 0 into 0 6.150 * [backup-simplify]: Simplify 1 into 1 6.150 * [backup-simplify]: Simplify (/ 1 1) into 1 6.150 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.150 * [taylor]: Taking taylor expansion of re in re 6.150 * [backup-simplify]: Simplify 0 into 0 6.150 * [backup-simplify]: Simplify 1 into 1 6.150 * [backup-simplify]: Simplify (/ 1 1) into 1 6.150 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.150 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.150 * [taylor]: Taking taylor expansion of im in re 6.150 * [backup-simplify]: Simplify im into im 6.150 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.150 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.150 * [taylor]: Taking taylor expansion of im in re 6.150 * [backup-simplify]: Simplify im into im 6.150 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.151 * [backup-simplify]: Simplify (* 1 1) into 1 6.151 * [backup-simplify]: Simplify (+ 1 0) into 1 6.151 * [backup-simplify]: Simplify (sqrt 1) into 1 6.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.153 * [backup-simplify]: Simplify (+ 0 0) into 0 6.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.154 * [backup-simplify]: Simplify (+ 1 1) into 2 6.155 * [backup-simplify]: Simplify (sqrt 0) into 0 6.156 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 6.157 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 6.157 * [taylor]: Taking taylor expansion of 0 in im 6.157 * [backup-simplify]: Simplify 0 into 0 6.159 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 6.159 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 6.159 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 6.159 * [taylor]: Taking taylor expansion of +nan.0 in im 6.159 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.159 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.159 * [taylor]: Taking taylor expansion of 2.0 in im 6.159 * [backup-simplify]: Simplify 2.0 into 2.0 6.159 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.160 * [backup-simplify]: Simplify 0 into 0 6.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.161 * [backup-simplify]: Simplify (+ 0 0) into 0 6.164 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.166 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.168 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 6.168 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 6.168 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 6.168 * [taylor]: Taking taylor expansion of +nan.0 in im 6.168 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.169 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.169 * [taylor]: Taking taylor expansion of 2.0 in im 6.169 * [backup-simplify]: Simplify 2.0 into 2.0 6.169 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.171 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 6.172 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.174 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.174 * [backup-simplify]: Simplify 0 into 0 6.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.178 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 6.178 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.179 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.180 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 6.182 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 6.183 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.185 * [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)))))) 6.185 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 6.185 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 6.185 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 6.185 * [taylor]: Taking taylor expansion of +nan.0 in im 6.185 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.185 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.185 * [taylor]: Taking taylor expansion of 2.0 in im 6.185 * [backup-simplify]: Simplify 2.0 into 2.0 6.186 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.186 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 6.186 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 6.186 * [taylor]: Taking taylor expansion of +nan.0 in im 6.186 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.186 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 6.187 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.187 * [taylor]: Taking taylor expansion of 2.0 in im 6.187 * [backup-simplify]: Simplify 2.0 into 2.0 6.187 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.188 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.188 * [taylor]: Taking taylor expansion of im in im 6.188 * [backup-simplify]: Simplify 0 into 0 6.188 * [backup-simplify]: Simplify 1 into 1 6.188 * [backup-simplify]: Simplify (* 1 1) into 1 6.189 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 6.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 6.192 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 6.192 * [backup-simplify]: Simplify (- 0) into 0 6.192 * [backup-simplify]: Simplify (+ 0 0) into 0 6.193 * [backup-simplify]: Simplify (- 0) into 0 6.193 * [backup-simplify]: Simplify 0 into 0 6.194 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 6.195 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.197 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.197 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 6.197 * [backup-simplify]: Simplify (- 0) into 0 6.197 * [backup-simplify]: Simplify 0 into 0 6.197 * [backup-simplify]: Simplify 0 into 0 6.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 6.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 6.200 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 6.200 * [backup-simplify]: Simplify (+ 0 0) into 0 6.201 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.201 * [backup-simplify]: Simplify (+ 0 0) into 0 6.202 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 6.202 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.204 * [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)))))) 6.204 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 6.204 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 6.204 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 6.204 * [taylor]: Taking taylor expansion of +nan.0 in im 6.204 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.204 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.204 * [taylor]: Taking taylor expansion of 2.0 in im 6.204 * [backup-simplify]: Simplify 2.0 into 2.0 6.204 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.205 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 6.205 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 6.205 * [taylor]: Taking taylor expansion of +nan.0 in im 6.205 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.205 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 6.205 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.205 * [taylor]: Taking taylor expansion of 2.0 in im 6.205 * [backup-simplify]: Simplify 2.0 into 2.0 6.205 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.205 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.205 * [taylor]: Taking taylor expansion of im in im 6.205 * [backup-simplify]: Simplify 0 into 0 6.205 * [backup-simplify]: Simplify 1 into 1 6.206 * [backup-simplify]: Simplify (* 1 1) into 1 6.206 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 6.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 6.208 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 6.208 * [backup-simplify]: Simplify (- 0) into 0 6.208 * [backup-simplify]: Simplify (+ 0 0) into 0 6.208 * [backup-simplify]: Simplify (- 0) into 0 6.208 * [backup-simplify]: Simplify 0 into 0 6.214 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 6.214 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.216 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 6.216 * [backup-simplify]: Simplify (- 0) into 0 6.217 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 6.219 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 6.220 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.223 * [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)))))))) 6.223 * [backup-simplify]: Simplify (sqrt (* (+ (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) 6.223 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 6.223 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 6.223 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.223 * [taylor]: Taking taylor expansion of 2.0 in im 6.223 * [backup-simplify]: Simplify 2.0 into 2.0 6.224 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.224 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 6.224 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 6.224 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 6.224 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.224 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 6.224 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 6.224 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.224 * [taylor]: Taking taylor expansion of -1 in im 6.224 * [backup-simplify]: Simplify -1 into -1 6.224 * [taylor]: Taking taylor expansion of re in im 6.224 * [backup-simplify]: Simplify re into re 6.225 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 6.225 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.225 * [taylor]: Taking taylor expansion of -1 in im 6.225 * [backup-simplify]: Simplify -1 into -1 6.225 * [taylor]: Taking taylor expansion of re in im 6.225 * [backup-simplify]: Simplify re into re 6.225 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 6.225 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 6.225 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.225 * [taylor]: Taking taylor expansion of -1 in im 6.225 * [backup-simplify]: Simplify -1 into -1 6.225 * [taylor]: Taking taylor expansion of im in im 6.225 * [backup-simplify]: Simplify 0 into 0 6.225 * [backup-simplify]: Simplify 1 into 1 6.225 * [backup-simplify]: Simplify (/ -1 1) into -1 6.225 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.225 * [taylor]: Taking taylor expansion of -1 in im 6.225 * [backup-simplify]: Simplify -1 into -1 6.225 * [taylor]: Taking taylor expansion of im in im 6.225 * [backup-simplify]: Simplify 0 into 0 6.225 * [backup-simplify]: Simplify 1 into 1 6.225 * [backup-simplify]: Simplify (/ -1 1) into -1 6.226 * [backup-simplify]: Simplify (* -1 -1) into 1 6.226 * [backup-simplify]: Simplify (+ 0 1) into 1 6.226 * [backup-simplify]: Simplify (sqrt 1) into 1 6.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.228 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.228 * [backup-simplify]: Simplify (+ 0 0) into 0 6.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.228 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.228 * [taylor]: Taking taylor expansion of re in im 6.228 * [backup-simplify]: Simplify re into re 6.229 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.229 * [backup-simplify]: Simplify (+ 1 0) into 1 6.229 * [backup-simplify]: Simplify (sqrt 0) into 0 6.231 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.231 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 6.231 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.231 * [taylor]: Taking taylor expansion of 2.0 in re 6.231 * [backup-simplify]: Simplify 2.0 into 2.0 6.231 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.232 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 6.232 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 6.232 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.232 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.232 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.232 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.232 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.233 * [taylor]: Taking taylor expansion of -1 in re 6.233 * [backup-simplify]: Simplify -1 into -1 6.233 * [taylor]: Taking taylor expansion of re in re 6.233 * [backup-simplify]: Simplify 0 into 0 6.233 * [backup-simplify]: Simplify 1 into 1 6.233 * [backup-simplify]: Simplify (/ -1 1) into -1 6.233 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.233 * [taylor]: Taking taylor expansion of -1 in re 6.233 * [backup-simplify]: Simplify -1 into -1 6.233 * [taylor]: Taking taylor expansion of re in re 6.233 * [backup-simplify]: Simplify 0 into 0 6.233 * [backup-simplify]: Simplify 1 into 1 6.234 * [backup-simplify]: Simplify (/ -1 1) into -1 6.234 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.234 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.234 * [taylor]: Taking taylor expansion of -1 in re 6.234 * [backup-simplify]: Simplify -1 into -1 6.234 * [taylor]: Taking taylor expansion of im in re 6.234 * [backup-simplify]: Simplify im into im 6.234 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.234 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.234 * [taylor]: Taking taylor expansion of -1 in re 6.234 * [backup-simplify]: Simplify -1 into -1 6.234 * [taylor]: Taking taylor expansion of im in re 6.234 * [backup-simplify]: Simplify im into im 6.234 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.235 * [backup-simplify]: Simplify (* -1 -1) into 1 6.235 * [backup-simplify]: Simplify (+ 1 0) into 1 6.236 * [backup-simplify]: Simplify (sqrt 1) into 1 6.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.238 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.238 * [backup-simplify]: Simplify (+ 0 0) into 0 6.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.239 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.239 * [taylor]: Taking taylor expansion of re in re 6.239 * [backup-simplify]: Simplify 0 into 0 6.239 * [backup-simplify]: Simplify 1 into 1 6.239 * [backup-simplify]: Simplify (/ 1 1) into 1 6.240 * [backup-simplify]: Simplify (- 1) into -1 6.240 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.242 * [backup-simplify]: Simplify (- 0) into 0 6.242 * [backup-simplify]: Simplify (+ 0 0) into 0 6.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.245 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 6.245 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 6.245 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.247 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.248 * [backup-simplify]: Simplify (- 0) into 0 6.248 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.249 * [backup-simplify]: Simplify (sqrt 0) into 0 6.249 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 6.249 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 6.249 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.249 * [taylor]: Taking taylor expansion of 2.0 in re 6.250 * [backup-simplify]: Simplify 2.0 into 2.0 6.250 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.251 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 6.251 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 6.251 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.251 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.251 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.251 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.251 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.251 * [taylor]: Taking taylor expansion of -1 in re 6.251 * [backup-simplify]: Simplify -1 into -1 6.251 * [taylor]: Taking taylor expansion of re in re 6.251 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify 1 into 1 6.252 * [backup-simplify]: Simplify (/ -1 1) into -1 6.252 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.252 * [taylor]: Taking taylor expansion of -1 in re 6.252 * [backup-simplify]: Simplify -1 into -1 6.252 * [taylor]: Taking taylor expansion of re in re 6.252 * [backup-simplify]: Simplify 0 into 0 6.252 * [backup-simplify]: Simplify 1 into 1 6.252 * [backup-simplify]: Simplify (/ -1 1) into -1 6.252 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.252 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.252 * [taylor]: Taking taylor expansion of -1 in re 6.252 * [backup-simplify]: Simplify -1 into -1 6.252 * [taylor]: Taking taylor expansion of im in re 6.252 * [backup-simplify]: Simplify im into im 6.252 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.252 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.252 * [taylor]: Taking taylor expansion of -1 in re 6.253 * [backup-simplify]: Simplify -1 into -1 6.253 * [taylor]: Taking taylor expansion of im in re 6.253 * [backup-simplify]: Simplify im into im 6.253 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.253 * [backup-simplify]: Simplify (* -1 -1) into 1 6.253 * [backup-simplify]: Simplify (+ 1 0) into 1 6.254 * [backup-simplify]: Simplify (sqrt 1) into 1 6.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.256 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.257 * [backup-simplify]: Simplify (+ 0 0) into 0 6.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.257 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.257 * [taylor]: Taking taylor expansion of re in re 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 1 into 1 6.258 * [backup-simplify]: Simplify (/ 1 1) into 1 6.258 * [backup-simplify]: Simplify (- 1) into -1 6.259 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.260 * [backup-simplify]: Simplify (- 0) into 0 6.260 * [backup-simplify]: Simplify (+ 0 0) into 0 6.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.263 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 6.263 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 6.264 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.265 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.266 * [backup-simplify]: Simplify (- 0) into 0 6.266 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.267 * [backup-simplify]: Simplify (sqrt 0) into 0 6.268 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 6.268 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 6.268 * [taylor]: Taking taylor expansion of 0 in im 6.268 * [backup-simplify]: Simplify 0 into 0 6.269 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 6.269 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 6.269 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 6.269 * [taylor]: Taking taylor expansion of +nan.0 in im 6.269 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.269 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 6.269 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.270 * [taylor]: Taking taylor expansion of 2.0 in im 6.270 * [backup-simplify]: Simplify 2.0 into 2.0 6.270 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.271 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.271 * [taylor]: Taking taylor expansion of im in im 6.271 * [backup-simplify]: Simplify 0 into 0 6.271 * [backup-simplify]: Simplify 1 into 1 6.271 * [backup-simplify]: Simplify (* 1 1) into 1 6.272 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 6.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 6.275 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 6.275 * [backup-simplify]: Simplify (- 0) into 0 6.275 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify 0 into 0 6.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.278 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 6.278 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 6.278 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 6.279 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 6.279 * [backup-simplify]: Simplify (+ 0 0) into 0 6.280 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.281 * [backup-simplify]: Simplify (- 0) into 0 6.281 * [backup-simplify]: Simplify (+ 0 0) into 0 6.281 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 6.282 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.283 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 6.283 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 6.283 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 6.283 * [taylor]: Taking taylor expansion of +nan.0 in im 6.283 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.283 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 6.283 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.283 * [taylor]: Taking taylor expansion of 2.0 in im 6.283 * [backup-simplify]: Simplify 2.0 into 2.0 6.283 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.284 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.284 * [taylor]: Taking taylor expansion of im in im 6.284 * [backup-simplify]: Simplify 0 into 0 6.284 * [backup-simplify]: Simplify 1 into 1 6.284 * [backup-simplify]: Simplify (* 1 1) into 1 6.284 * [backup-simplify]: Simplify (* 1 1) into 1 6.285 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 6.285 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.286 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 6.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.292 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 6.292 * [backup-simplify]: Simplify (- 0) into 0 6.292 * [backup-simplify]: Simplify 0 into 0 6.292 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.294 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 6.294 * [backup-simplify]: Simplify (- 0) into 0 6.294 * [backup-simplify]: Simplify 0 into 0 6.294 * [backup-simplify]: Simplify 0 into 0 6.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.297 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 6.297 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 6.297 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 6.297 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 6.297 * [backup-simplify]: Simplify (+ 0 0) into 0 6.298 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 6.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.299 * [backup-simplify]: Simplify (- 0) into 0 6.299 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 6.300 * [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))))) 6.301 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.302 * [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)))))) 6.302 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 6.302 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 6.302 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 6.302 * [taylor]: Taking taylor expansion of +nan.0 in im 6.302 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.302 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 6.302 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.302 * [taylor]: Taking taylor expansion of 2.0 in im 6.302 * [backup-simplify]: Simplify 2.0 into 2.0 6.302 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.302 * [taylor]: Taking taylor expansion of (pow im 4) in im 6.302 * [taylor]: Taking taylor expansion of im in im 6.302 * [backup-simplify]: Simplify 0 into 0 6.302 * [backup-simplify]: Simplify 1 into 1 6.303 * [backup-simplify]: Simplify (* 1 1) into 1 6.303 * [backup-simplify]: Simplify (* 1 1) into 1 6.303 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 6.303 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 6.304 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 6.304 * [taylor]: Taking taylor expansion of +nan.0 in im 6.304 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.304 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 6.304 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.304 * [taylor]: Taking taylor expansion of 2.0 in im 6.304 * [backup-simplify]: Simplify 2.0 into 2.0 6.304 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.305 * [taylor]: Taking taylor expansion of (pow im 6) in im 6.305 * [taylor]: Taking taylor expansion of im in im 6.305 * [backup-simplify]: Simplify 0 into 0 6.305 * [backup-simplify]: Simplify 1 into 1 6.305 * [backup-simplify]: Simplify (* 1 1) into 1 6.305 * [backup-simplify]: Simplify (* 1 1) into 1 6.306 * [backup-simplify]: Simplify (* 1 1) into 1 6.307 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 6.308 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.309 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 6.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.320 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 6.321 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.322 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.324 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.325 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 6.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.344 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 6.345 * [backup-simplify]: Simplify (- 0) into 0 6.345 * [backup-simplify]: Simplify (+ 0 0) into 0 6.345 * [backup-simplify]: Simplify (- 0) into 0 6.345 * [backup-simplify]: Simplify 0 into 0 6.345 * [backup-simplify]: Simplify 0 into 0 6.345 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2 1) 6.345 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 6.346 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 6.346 * [taylor]: Taking taylor expansion of (hypot re im) in im 6.346 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.346 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 6.346 * [taylor]: Taking taylor expansion of (* re re) in im 6.346 * [taylor]: Taking taylor expansion of re in im 6.346 * [backup-simplify]: Simplify re into re 6.346 * [taylor]: Taking taylor expansion of re in im 6.346 * [backup-simplify]: Simplify re into re 6.346 * [taylor]: Taking taylor expansion of (* im im) in im 6.346 * [taylor]: Taking taylor expansion of im in im 6.346 * [backup-simplify]: Simplify 0 into 0 6.346 * [backup-simplify]: Simplify 1 into 1 6.346 * [taylor]: Taking taylor expansion of im in im 6.346 * [backup-simplify]: Simplify 0 into 0 6.346 * [backup-simplify]: Simplify 1 into 1 6.346 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.346 * [backup-simplify]: Simplify (* 0 0) into 0 6.347 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.347 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.347 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.347 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.347 * [backup-simplify]: Simplify (+ 0 0) into 0 6.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.347 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.348 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.348 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.348 * [taylor]: Taking taylor expansion of (* re re) in re 6.348 * [taylor]: Taking taylor expansion of re in re 6.348 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify 1 into 1 6.348 * [taylor]: Taking taylor expansion of re in re 6.348 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify 1 into 1 6.348 * [taylor]: Taking taylor expansion of (* im im) in re 6.348 * [taylor]: Taking taylor expansion of im in re 6.348 * [backup-simplify]: Simplify im into im 6.348 * [taylor]: Taking taylor expansion of im in re 6.348 * [backup-simplify]: Simplify im into im 6.348 * [backup-simplify]: Simplify (* 0 0) into 0 6.348 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.348 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.348 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.349 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.349 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.349 * [backup-simplify]: Simplify (+ 0 0) into 0 6.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.349 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.349 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.349 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.349 * [taylor]: Taking taylor expansion of (* re re) in re 6.349 * [taylor]: Taking taylor expansion of re in re 6.349 * [backup-simplify]: Simplify 0 into 0 6.349 * [backup-simplify]: Simplify 1 into 1 6.349 * [taylor]: Taking taylor expansion of re in re 6.349 * [backup-simplify]: Simplify 0 into 0 6.349 * [backup-simplify]: Simplify 1 into 1 6.349 * [taylor]: Taking taylor expansion of (* im im) in re 6.349 * [taylor]: Taking taylor expansion of im in re 6.349 * [backup-simplify]: Simplify im into im 6.349 * [taylor]: Taking taylor expansion of im in re 6.349 * [backup-simplify]: Simplify im into im 6.350 * [backup-simplify]: Simplify (* 0 0) into 0 6.350 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.350 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.350 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.350 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.350 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.351 * [backup-simplify]: Simplify (+ 0 0) into 0 6.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.351 * [taylor]: Taking taylor expansion of im in im 6.351 * [backup-simplify]: Simplify 0 into 0 6.351 * [backup-simplify]: Simplify 1 into 1 6.351 * [backup-simplify]: Simplify 0 into 0 6.351 * [taylor]: Taking taylor expansion of 0 in im 6.351 * [backup-simplify]: Simplify 0 into 0 6.351 * [backup-simplify]: Simplify 0 into 0 6.351 * [backup-simplify]: Simplify 1 into 1 6.351 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.352 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.352 * [backup-simplify]: Simplify (+ 1 0) into 1 6.352 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.352 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.352 * [taylor]: Taking taylor expansion of 1/2 in im 6.352 * [backup-simplify]: Simplify 1/2 into 1/2 6.352 * [taylor]: Taking taylor expansion of im in im 6.352 * [backup-simplify]: Simplify 0 into 0 6.352 * [backup-simplify]: Simplify 1 into 1 6.353 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.353 * [backup-simplify]: Simplify 0 into 0 6.353 * [backup-simplify]: Simplify 0 into 0 6.353 * [backup-simplify]: Simplify 0 into 0 6.354 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.354 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.355 * [backup-simplify]: Simplify (+ 0 0) into 0 6.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.355 * [taylor]: Taking taylor expansion of 0 in im 6.355 * [backup-simplify]: Simplify 0 into 0 6.355 * [backup-simplify]: Simplify 0 into 0 6.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.355 * [backup-simplify]: Simplify 0 into 0 6.355 * [backup-simplify]: Simplify 0 into 0 6.355 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.356 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 6.356 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 6.356 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 6.356 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.356 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 6.356 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 6.356 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.356 * [taylor]: Taking taylor expansion of re in im 6.356 * [backup-simplify]: Simplify re into re 6.356 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.356 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.356 * [taylor]: Taking taylor expansion of re in im 6.356 * [backup-simplify]: Simplify re into re 6.356 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.356 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 6.356 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.356 * [taylor]: Taking taylor expansion of im in im 6.356 * [backup-simplify]: Simplify 0 into 0 6.356 * [backup-simplify]: Simplify 1 into 1 6.356 * [backup-simplify]: Simplify (/ 1 1) into 1 6.356 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.356 * [taylor]: Taking taylor expansion of im in im 6.357 * [backup-simplify]: Simplify 0 into 0 6.357 * [backup-simplify]: Simplify 1 into 1 6.357 * [backup-simplify]: Simplify (/ 1 1) into 1 6.357 * [backup-simplify]: Simplify (* 1 1) into 1 6.358 * [backup-simplify]: Simplify (+ 0 1) into 1 6.358 * [backup-simplify]: Simplify (sqrt 1) into 1 6.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.361 * [backup-simplify]: Simplify (+ 0 0) into 0 6.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.361 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.362 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.362 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.362 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.362 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.362 * [taylor]: Taking taylor expansion of re in re 6.362 * [backup-simplify]: Simplify 0 into 0 6.362 * [backup-simplify]: Simplify 1 into 1 6.362 * [backup-simplify]: Simplify (/ 1 1) into 1 6.362 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.362 * [taylor]: Taking taylor expansion of re in re 6.362 * [backup-simplify]: Simplify 0 into 0 6.362 * [backup-simplify]: Simplify 1 into 1 6.363 * [backup-simplify]: Simplify (/ 1 1) into 1 6.363 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.363 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.363 * [taylor]: Taking taylor expansion of im in re 6.363 * [backup-simplify]: Simplify im into im 6.363 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.363 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.363 * [taylor]: Taking taylor expansion of im in re 6.363 * [backup-simplify]: Simplify im into im 6.363 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.363 * [backup-simplify]: Simplify (* 1 1) into 1 6.364 * [backup-simplify]: Simplify (+ 1 0) into 1 6.364 * [backup-simplify]: Simplify (sqrt 1) into 1 6.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.366 * [backup-simplify]: Simplify (+ 0 0) into 0 6.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.367 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.368 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.368 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.368 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.368 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.368 * [taylor]: Taking taylor expansion of re in re 6.368 * [backup-simplify]: Simplify 0 into 0 6.368 * [backup-simplify]: Simplify 1 into 1 6.368 * [backup-simplify]: Simplify (/ 1 1) into 1 6.368 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.368 * [taylor]: Taking taylor expansion of re in re 6.368 * [backup-simplify]: Simplify 0 into 0 6.368 * [backup-simplify]: Simplify 1 into 1 6.369 * [backup-simplify]: Simplify (/ 1 1) into 1 6.369 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.369 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.369 * [taylor]: Taking taylor expansion of im in re 6.369 * [backup-simplify]: Simplify im into im 6.369 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.369 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.369 * [taylor]: Taking taylor expansion of im in re 6.369 * [backup-simplify]: Simplify im into im 6.369 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.369 * [backup-simplify]: Simplify (* 1 1) into 1 6.370 * [backup-simplify]: Simplify (+ 1 0) into 1 6.370 * [backup-simplify]: Simplify (sqrt 1) into 1 6.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.373 * [backup-simplify]: Simplify (+ 0 0) into 0 6.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.374 * [taylor]: Taking taylor expansion of 1 in im 6.374 * [backup-simplify]: Simplify 1 into 1 6.374 * [taylor]: Taking taylor expansion of 0 in im 6.374 * [backup-simplify]: Simplify 0 into 0 6.374 * [backup-simplify]: Simplify 1 into 1 6.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.377 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 6.377 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.378 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.378 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.378 * [taylor]: Taking taylor expansion of 1/2 in im 6.378 * [backup-simplify]: Simplify 1/2 into 1/2 6.378 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.378 * [taylor]: Taking taylor expansion of im in im 6.378 * [backup-simplify]: Simplify 0 into 0 6.378 * [backup-simplify]: Simplify 1 into 1 6.379 * [backup-simplify]: Simplify (* 1 1) into 1 6.379 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.380 * [backup-simplify]: Simplify 0 into 0 6.380 * [backup-simplify]: Simplify 0 into 0 6.380 * [backup-simplify]: Simplify 0 into 0 6.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 6.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 6.382 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 6.383 * [backup-simplify]: Simplify (+ 0 0) into 0 6.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.383 * [taylor]: Taking taylor expansion of 0 in im 6.383 * [backup-simplify]: Simplify 0 into 0 6.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.384 * [backup-simplify]: Simplify 0 into 0 6.384 * [backup-simplify]: Simplify 0 into 0 6.384 * [backup-simplify]: Simplify 0 into 0 6.384 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.384 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 6.384 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 6.384 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 6.385 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.385 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 6.385 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 6.385 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.385 * [taylor]: Taking taylor expansion of -1 in im 6.385 * [backup-simplify]: Simplify -1 into -1 6.385 * [taylor]: Taking taylor expansion of re in im 6.385 * [backup-simplify]: Simplify re into re 6.385 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 6.385 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.385 * [taylor]: Taking taylor expansion of -1 in im 6.385 * [backup-simplify]: Simplify -1 into -1 6.385 * [taylor]: Taking taylor expansion of re in im 6.385 * [backup-simplify]: Simplify re into re 6.385 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 6.385 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 6.385 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.385 * [taylor]: Taking taylor expansion of -1 in im 6.385 * [backup-simplify]: Simplify -1 into -1 6.385 * [taylor]: Taking taylor expansion of im in im 6.385 * [backup-simplify]: Simplify 0 into 0 6.385 * [backup-simplify]: Simplify 1 into 1 6.385 * [backup-simplify]: Simplify (/ -1 1) into -1 6.385 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.385 * [taylor]: Taking taylor expansion of -1 in im 6.385 * [backup-simplify]: Simplify -1 into -1 6.385 * [taylor]: Taking taylor expansion of im in im 6.385 * [backup-simplify]: Simplify 0 into 0 6.385 * [backup-simplify]: Simplify 1 into 1 6.386 * [backup-simplify]: Simplify (/ -1 1) into -1 6.386 * [backup-simplify]: Simplify (* -1 -1) into 1 6.386 * [backup-simplify]: Simplify (+ 0 1) into 1 6.386 * [backup-simplify]: Simplify (sqrt 1) into 1 6.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.388 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.388 * [backup-simplify]: Simplify (+ 0 0) into 0 6.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.388 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.388 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.389 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.389 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.389 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.389 * [taylor]: Taking taylor expansion of -1 in re 6.389 * [backup-simplify]: Simplify -1 into -1 6.389 * [taylor]: Taking taylor expansion of re in re 6.389 * [backup-simplify]: Simplify 0 into 0 6.389 * [backup-simplify]: Simplify 1 into 1 6.389 * [backup-simplify]: Simplify (/ -1 1) into -1 6.389 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.389 * [taylor]: Taking taylor expansion of -1 in re 6.389 * [backup-simplify]: Simplify -1 into -1 6.389 * [taylor]: Taking taylor expansion of re in re 6.389 * [backup-simplify]: Simplify 0 into 0 6.389 * [backup-simplify]: Simplify 1 into 1 6.389 * [backup-simplify]: Simplify (/ -1 1) into -1 6.389 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.389 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.389 * [taylor]: Taking taylor expansion of -1 in re 6.389 * [backup-simplify]: Simplify -1 into -1 6.389 * [taylor]: Taking taylor expansion of im in re 6.389 * [backup-simplify]: Simplify im into im 6.389 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.389 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.389 * [taylor]: Taking taylor expansion of -1 in re 6.389 * [backup-simplify]: Simplify -1 into -1 6.389 * [taylor]: Taking taylor expansion of im in re 6.389 * [backup-simplify]: Simplify im into im 6.390 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.390 * [backup-simplify]: Simplify (* -1 -1) into 1 6.390 * [backup-simplify]: Simplify (+ 1 0) into 1 6.390 * [backup-simplify]: Simplify (sqrt 1) into 1 6.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.392 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.392 * [backup-simplify]: Simplify (+ 0 0) into 0 6.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.392 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.392 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.392 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.392 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.392 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.392 * [taylor]: Taking taylor expansion of -1 in re 6.393 * [backup-simplify]: Simplify -1 into -1 6.393 * [taylor]: Taking taylor expansion of re in re 6.393 * [backup-simplify]: Simplify 0 into 0 6.393 * [backup-simplify]: Simplify 1 into 1 6.393 * [backup-simplify]: Simplify (/ -1 1) into -1 6.393 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.393 * [taylor]: Taking taylor expansion of -1 in re 6.393 * [backup-simplify]: Simplify -1 into -1 6.393 * [taylor]: Taking taylor expansion of re in re 6.393 * [backup-simplify]: Simplify 0 into 0 6.393 * [backup-simplify]: Simplify 1 into 1 6.393 * [backup-simplify]: Simplify (/ -1 1) into -1 6.393 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.393 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.393 * [taylor]: Taking taylor expansion of -1 in re 6.393 * [backup-simplify]: Simplify -1 into -1 6.393 * [taylor]: Taking taylor expansion of im in re 6.393 * [backup-simplify]: Simplify im into im 6.393 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.393 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.393 * [taylor]: Taking taylor expansion of -1 in re 6.393 * [backup-simplify]: Simplify -1 into -1 6.393 * [taylor]: Taking taylor expansion of im in re 6.393 * [backup-simplify]: Simplify im into im 6.393 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.394 * [backup-simplify]: Simplify (* -1 -1) into 1 6.394 * [backup-simplify]: Simplify (+ 1 0) into 1 6.394 * [backup-simplify]: Simplify (sqrt 1) into 1 6.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.396 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.396 * [backup-simplify]: Simplify (+ 0 0) into 0 6.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.396 * [taylor]: Taking taylor expansion of 1 in im 6.397 * [backup-simplify]: Simplify 1 into 1 6.397 * [taylor]: Taking taylor expansion of 0 in im 6.397 * [backup-simplify]: Simplify 0 into 0 6.397 * [backup-simplify]: Simplify 1 into 1 6.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.398 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 6.398 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 6.399 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.399 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.399 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.399 * [taylor]: Taking taylor expansion of 1/2 in im 6.399 * [backup-simplify]: Simplify 1/2 into 1/2 6.399 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.399 * [taylor]: Taking taylor expansion of im in im 6.399 * [backup-simplify]: Simplify 0 into 0 6.400 * [backup-simplify]: Simplify 1 into 1 6.400 * [backup-simplify]: Simplify (* 1 1) into 1 6.400 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.401 * [backup-simplify]: Simplify 0 into 0 6.401 * [backup-simplify]: Simplify 0 into 0 6.401 * [backup-simplify]: Simplify 0 into 0 6.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.403 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 6.403 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 6.403 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 6.403 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 6.403 * [backup-simplify]: Simplify (+ 0 0) into 0 6.404 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.404 * [taylor]: Taking taylor expansion of 0 in im 6.404 * [backup-simplify]: Simplify 0 into 0 6.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.405 * [backup-simplify]: Simplify 0 into 0 6.405 * [backup-simplify]: Simplify 0 into 0 6.405 * [backup-simplify]: Simplify 0 into 0 6.405 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.405 * * * [progress]: simplifying candidates 6.407 * [simplify]: Simplifying: (expm1 (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (log1p (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp re)) (log (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (exp (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (cbrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (sqrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (sqrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (+ (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3) (pow re 3)) (+ (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re)) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (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))) (cbrt (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 1 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (expm1 (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (log1p (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (log (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (exp (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (* (cbrt (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (cbrt (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)))) (cbrt (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (* (* (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)) (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (sqrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (sqrt 2.0) (sqrt (* (+ (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3) (pow re 3)) 2.0)) (sqrt (+ (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))) (sqrt (* (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re)) 2.0)) (sqrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (sqrt (sqrt (* (+ (* (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)) (+ re im) (* 2 re) 0 im re (* -1 re) (- (+ (* +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) 6.408 * * [simplify]: iteration 0: 129 enodes 6.470 * * [simplify]: iteration 1: 291 enodes 6.581 * * [simplify]: iteration 2: 1169 enodes 7.248 * * [simplify]: iteration complete: 5000 enodes 7.249 * * [simplify]: Extracting #0: cost 53 inf + 0 7.252 * * [simplify]: Extracting #1: cost 632 inf + 9 7.261 * * [simplify]: Extracting #2: cost 1473 inf + 1181 7.273 * * [simplify]: Extracting #3: cost 795 inf + 7754 7.279 * * [simplify]: Extracting #4: cost 110 inf + 14412 7.285 * * [simplify]: Extracting #5: cost 3 inf + 15808 7.291 * * [simplify]: Extracting #6: cost 0 inf + 15825 7.297 * [simplify]: Simplified to: (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) 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)) (pow (+ (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow re 3) (pow (hypot re im) 3)) (fma re re (- (* (hypot re im) (- re (hypot re im))))) (fma (- re) re (* (hypot re im) (hypot re im))) (- (hypot re im) re) (expm1 (hypot re im)) (log1p (hypot re im)) 1 1 2 1 1 (* (hypot re im) (hypot re im)) (hypot re im) (* (hypot re im) (hypot re im)) 2 (log (hypot re im)) (log (hypot re im)) (exp (hypot re im)) (pow (hypot re im) 3) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (* (hypot re im) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (pow (cbrt (sqrt (hypot re im))) (+ 3 1)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 2 1 (* (pow (cbrt (sqrt (hypot re im))) (+ 3 1)) (cbrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) (pow (cbrt (sqrt (hypot re im))) (+ 3 1)) (* (sqrt (hypot re im)) (sqrt (cbrt (hypot re im)))) (pow (sqrt (sqrt (hypot re im))) 3) (hypot re im) (pow (sqrt (sqrt (hypot re im))) 3) (hypot re im) (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))) (pow (sqrt (* (+ (hypot re im) re) 2.0)) 3) (sqrt (+ (hypot re im) re)) (sqrt 2.0) (sqrt (* 2.0 (+ (pow re 3) (pow (hypot re im) 3)))) (sqrt (fma re re (- (* (hypot re im) (- re (hypot re im)))))) (sqrt (* (fma (- re) re (* (hypot re im) (hypot re im))) 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)) (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 im re (- re) (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (* +nan.0 (+ (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re))) (- (sqrt 2.0)))) 0 im re (- re) 7.298 * * * [progress]: adding candidates to table 7.738 * * [progress]: iteration 4 / 4 7.738 * * * [progress]: picking best candidate 7.795 * * * * [pick]: Picked # 7.795 * * * [progress]: localizing error 7.825 * * * [progress]: generating rewritten candidates 7.825 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 7.851 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2) 7.852 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 2) 7.853 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1 1) 7.856 * * * [progress]: generating series expansions 7.856 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 7.856 * [backup-simplify]: Simplify (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) into (+ (hypot re im) re) 7.857 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 7.857 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 7.857 * [taylor]: Taking taylor expansion of (hypot re im) in im 7.857 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.857 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 7.857 * [taylor]: Taking taylor expansion of (* re re) in im 7.857 * [taylor]: Taking taylor expansion of re in im 7.857 * [backup-simplify]: Simplify re into re 7.857 * [taylor]: Taking taylor expansion of re in im 7.857 * [backup-simplify]: Simplify re into re 7.857 * [taylor]: Taking taylor expansion of (* im im) in im 7.857 * [taylor]: Taking taylor expansion of im in im 7.857 * [backup-simplify]: Simplify 0 into 0 7.857 * [backup-simplify]: Simplify 1 into 1 7.857 * [taylor]: Taking taylor expansion of im in im 7.857 * [backup-simplify]: Simplify 0 into 0 7.857 * [backup-simplify]: Simplify 1 into 1 7.857 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.858 * [backup-simplify]: Simplify (* 0 0) into 0 7.858 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.858 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.858 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.859 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.859 * [backup-simplify]: Simplify (+ 0 0) into 0 7.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.860 * [taylor]: Taking taylor expansion of re in im 7.860 * [backup-simplify]: Simplify re into re 7.860 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 7.860 * [taylor]: Taking taylor expansion of (hypot re im) in re 7.860 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.860 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 7.860 * [taylor]: Taking taylor expansion of (* re re) in re 7.860 * [taylor]: Taking taylor expansion of re in re 7.860 * [backup-simplify]: Simplify 0 into 0 7.860 * [backup-simplify]: Simplify 1 into 1 7.860 * [taylor]: Taking taylor expansion of re in re 7.860 * [backup-simplify]: Simplify 0 into 0 7.860 * [backup-simplify]: Simplify 1 into 1 7.860 * [taylor]: Taking taylor expansion of (* im im) in re 7.860 * [taylor]: Taking taylor expansion of im in re 7.860 * [backup-simplify]: Simplify im into im 7.860 * [taylor]: Taking taylor expansion of im in re 7.860 * [backup-simplify]: Simplify im into im 7.861 * [backup-simplify]: Simplify (* 0 0) into 0 7.861 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.861 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.861 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.862 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.862 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.863 * [backup-simplify]: Simplify (+ 0 0) into 0 7.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.863 * [taylor]: Taking taylor expansion of re in re 7.863 * [backup-simplify]: Simplify 0 into 0 7.863 * [backup-simplify]: Simplify 1 into 1 7.863 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 7.863 * [taylor]: Taking taylor expansion of (hypot re im) in re 7.863 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.863 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 7.863 * [taylor]: Taking taylor expansion of (* re re) in re 7.863 * [taylor]: Taking taylor expansion of re in re 7.863 * [backup-simplify]: Simplify 0 into 0 7.863 * [backup-simplify]: Simplify 1 into 1 7.863 * [taylor]: Taking taylor expansion of re in re 7.863 * [backup-simplify]: Simplify 0 into 0 7.863 * [backup-simplify]: Simplify 1 into 1 7.863 * [taylor]: Taking taylor expansion of (* im im) in re 7.864 * [taylor]: Taking taylor expansion of im in re 7.864 * [backup-simplify]: Simplify im into im 7.864 * [taylor]: Taking taylor expansion of im in re 7.864 * [backup-simplify]: Simplify im into im 7.864 * [backup-simplify]: Simplify (* 0 0) into 0 7.864 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.864 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.864 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.865 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.865 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.866 * [backup-simplify]: Simplify (+ 0 0) into 0 7.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.866 * [taylor]: Taking taylor expansion of re in re 7.866 * [backup-simplify]: Simplify 0 into 0 7.866 * [backup-simplify]: Simplify 1 into 1 7.866 * [backup-simplify]: Simplify (+ im 0) into im 7.866 * [taylor]: Taking taylor expansion of im in im 7.866 * [backup-simplify]: Simplify 0 into 0 7.866 * [backup-simplify]: Simplify 1 into 1 7.866 * [backup-simplify]: Simplify 0 into 0 7.867 * [backup-simplify]: Simplify (+ 0 1) into 1 7.867 * [taylor]: Taking taylor expansion of 1 in im 7.867 * [backup-simplify]: Simplify 1 into 1 7.867 * [backup-simplify]: Simplify 1 into 1 7.867 * [backup-simplify]: Simplify 1 into 1 7.868 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.868 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.868 * [backup-simplify]: Simplify (+ 1 0) into 1 7.869 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.869 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 7.869 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 7.869 * [taylor]: Taking taylor expansion of 1/2 in im 7.870 * [backup-simplify]: Simplify 1/2 into 1/2 7.870 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.870 * [taylor]: Taking taylor expansion of im in im 7.870 * [backup-simplify]: Simplify 0 into 0 7.870 * [backup-simplify]: Simplify 1 into 1 7.870 * [backup-simplify]: Simplify (/ 1 1) into 1 7.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.872 * [backup-simplify]: Simplify 0 into 0 7.872 * [backup-simplify]: Simplify 0 into 0 7.872 * [backup-simplify]: Simplify 0 into 0 7.873 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.874 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.874 * [backup-simplify]: Simplify (+ 0 0) into 0 7.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.875 * [backup-simplify]: Simplify (+ 0 0) into 0 7.875 * [taylor]: Taking taylor expansion of 0 in im 7.875 * [backup-simplify]: Simplify 0 into 0 7.875 * [backup-simplify]: Simplify 0 into 0 7.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.877 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.877 * [backup-simplify]: Simplify 0 into 0 7.877 * [backup-simplify]: Simplify 0 into 0 7.877 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 7.877 * [backup-simplify]: Simplify (+ (* (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))) (cbrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 7.878 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 7.878 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 7.878 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.878 * [taylor]: Taking taylor expansion of re in im 7.878 * [backup-simplify]: Simplify re into re 7.878 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.878 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 7.878 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.878 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 7.878 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 7.878 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.878 * [taylor]: Taking taylor expansion of re in im 7.878 * [backup-simplify]: Simplify re into re 7.878 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.878 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.878 * [taylor]: Taking taylor expansion of re in im 7.878 * [backup-simplify]: Simplify re into re 7.878 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.878 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 7.878 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.878 * [taylor]: Taking taylor expansion of im in im 7.878 * [backup-simplify]: Simplify 0 into 0 7.878 * [backup-simplify]: Simplify 1 into 1 7.879 * [backup-simplify]: Simplify (/ 1 1) into 1 7.879 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.879 * [taylor]: Taking taylor expansion of im in im 7.879 * [backup-simplify]: Simplify 0 into 0 7.879 * [backup-simplify]: Simplify 1 into 1 7.879 * [backup-simplify]: Simplify (/ 1 1) into 1 7.880 * [backup-simplify]: Simplify (* 1 1) into 1 7.880 * [backup-simplify]: Simplify (+ 0 1) into 1 7.881 * [backup-simplify]: Simplify (sqrt 1) into 1 7.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.883 * [backup-simplify]: Simplify (+ 0 0) into 0 7.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.884 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 7.884 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.884 * [taylor]: Taking taylor expansion of re in re 7.884 * [backup-simplify]: Simplify 0 into 0 7.884 * [backup-simplify]: Simplify 1 into 1 7.884 * [backup-simplify]: Simplify (/ 1 1) into 1 7.885 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 7.885 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.885 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 7.885 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 7.885 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.885 * [taylor]: Taking taylor expansion of re in re 7.885 * [backup-simplify]: Simplify 0 into 0 7.885 * [backup-simplify]: Simplify 1 into 1 7.885 * [backup-simplify]: Simplify (/ 1 1) into 1 7.885 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.885 * [taylor]: Taking taylor expansion of re in re 7.885 * [backup-simplify]: Simplify 0 into 0 7.885 * [backup-simplify]: Simplify 1 into 1 7.886 * [backup-simplify]: Simplify (/ 1 1) into 1 7.886 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 7.886 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.886 * [taylor]: Taking taylor expansion of im in re 7.886 * [backup-simplify]: Simplify im into im 7.886 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.886 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.886 * [taylor]: Taking taylor expansion of im in re 7.886 * [backup-simplify]: Simplify im into im 7.886 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.887 * [backup-simplify]: Simplify (* 1 1) into 1 7.887 * [backup-simplify]: Simplify (+ 1 0) into 1 7.887 * [backup-simplify]: Simplify (sqrt 1) into 1 7.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.890 * [backup-simplify]: Simplify (+ 0 0) into 0 7.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.891 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 7.891 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.891 * [taylor]: Taking taylor expansion of re in re 7.891 * [backup-simplify]: Simplify 0 into 0 7.891 * [backup-simplify]: Simplify 1 into 1 7.891 * [backup-simplify]: Simplify (/ 1 1) into 1 7.891 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 7.891 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.892 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 7.892 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 7.892 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.892 * [taylor]: Taking taylor expansion of re in re 7.892 * [backup-simplify]: Simplify 0 into 0 7.892 * [backup-simplify]: Simplify 1 into 1 7.892 * [backup-simplify]: Simplify (/ 1 1) into 1 7.892 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.892 * [taylor]: Taking taylor expansion of re in re 7.892 * [backup-simplify]: Simplify 0 into 0 7.892 * [backup-simplify]: Simplify 1 into 1 7.893 * [backup-simplify]: Simplify (/ 1 1) into 1 7.893 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 7.893 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.893 * [taylor]: Taking taylor expansion of im in re 7.893 * [backup-simplify]: Simplify im into im 7.893 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.893 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.893 * [taylor]: Taking taylor expansion of im in re 7.893 * [backup-simplify]: Simplify im into im 7.893 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.893 * [backup-simplify]: Simplify (* 1 1) into 1 7.894 * [backup-simplify]: Simplify (+ 1 0) into 1 7.894 * [backup-simplify]: Simplify (sqrt 1) into 1 7.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.897 * [backup-simplify]: Simplify (+ 0 0) into 0 7.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.898 * [backup-simplify]: Simplify (+ 1 1) into 2 7.898 * [taylor]: Taking taylor expansion of 2 in im 7.898 * [backup-simplify]: Simplify 2 into 2 7.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.900 * [backup-simplify]: Simplify (+ 0 0) into 0 7.900 * [taylor]: Taking taylor expansion of 0 in im 7.900 * [backup-simplify]: Simplify 0 into 0 7.900 * [backup-simplify]: Simplify 2 into 2 7.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.904 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 7.904 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.905 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.905 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 7.906 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 7.906 * [taylor]: Taking taylor expansion of 1/2 in im 7.906 * [backup-simplify]: Simplify 1/2 into 1/2 7.906 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.906 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.906 * [taylor]: Taking taylor expansion of im in im 7.906 * [backup-simplify]: Simplify 0 into 0 7.906 * [backup-simplify]: Simplify 1 into 1 7.906 * [backup-simplify]: Simplify (* 1 1) into 1 7.907 * [backup-simplify]: Simplify (/ 1 1) into 1 7.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.908 * [backup-simplify]: Simplify 0 into 0 7.908 * [backup-simplify]: Simplify 0 into 0 7.909 * [backup-simplify]: Simplify 0 into 0 7.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 7.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 7.911 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 7.911 * [backup-simplify]: Simplify (+ 0 0) into 0 7.912 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.912 * [backup-simplify]: Simplify (+ 0 0) into 0 7.912 * [taylor]: Taking taylor expansion of 0 in im 7.912 * [backup-simplify]: Simplify 0 into 0 7.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.913 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.914 * [backup-simplify]: Simplify 0 into 0 7.914 * [backup-simplify]: Simplify 0 into 0 7.914 * [backup-simplify]: Simplify 0 into 0 7.914 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 7.914 * [backup-simplify]: Simplify (+ (* (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 7.914 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 7.914 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 7.914 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 7.914 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.914 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 7.914 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 7.914 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.914 * [taylor]: Taking taylor expansion of -1 in im 7.914 * [backup-simplify]: Simplify -1 into -1 7.914 * [taylor]: Taking taylor expansion of re in im 7.914 * [backup-simplify]: Simplify re into re 7.914 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 7.914 * [taylor]: Taking taylor expansion of (/ -1 re) in im 7.914 * [taylor]: Taking taylor expansion of -1 in im 7.914 * [backup-simplify]: Simplify -1 into -1 7.914 * [taylor]: Taking taylor expansion of re in im 7.914 * [backup-simplify]: Simplify re into re 7.914 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 7.914 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 7.914 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.914 * [taylor]: Taking taylor expansion of -1 in im 7.914 * [backup-simplify]: Simplify -1 into -1 7.914 * [taylor]: Taking taylor expansion of im in im 7.915 * [backup-simplify]: Simplify 0 into 0 7.915 * [backup-simplify]: Simplify 1 into 1 7.915 * [backup-simplify]: Simplify (/ -1 1) into -1 7.915 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.915 * [taylor]: Taking taylor expansion of -1 in im 7.915 * [backup-simplify]: Simplify -1 into -1 7.915 * [taylor]: Taking taylor expansion of im in im 7.915 * [backup-simplify]: Simplify 0 into 0 7.915 * [backup-simplify]: Simplify 1 into 1 7.915 * [backup-simplify]: Simplify (/ -1 1) into -1 7.915 * [backup-simplify]: Simplify (* -1 -1) into 1 7.916 * [backup-simplify]: Simplify (+ 0 1) into 1 7.916 * [backup-simplify]: Simplify (sqrt 1) into 1 7.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.917 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.918 * [backup-simplify]: Simplify (+ 0 0) into 0 7.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.918 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.918 * [taylor]: Taking taylor expansion of re in im 7.918 * [backup-simplify]: Simplify re into re 7.918 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.918 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 7.918 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 7.918 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.918 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 7.918 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 7.918 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.918 * [taylor]: Taking taylor expansion of -1 in re 7.918 * [backup-simplify]: Simplify -1 into -1 7.918 * [taylor]: Taking taylor expansion of re in re 7.918 * [backup-simplify]: Simplify 0 into 0 7.918 * [backup-simplify]: Simplify 1 into 1 7.919 * [backup-simplify]: Simplify (/ -1 1) into -1 7.919 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.919 * [taylor]: Taking taylor expansion of -1 in re 7.919 * [backup-simplify]: Simplify -1 into -1 7.919 * [taylor]: Taking taylor expansion of re in re 7.919 * [backup-simplify]: Simplify 0 into 0 7.919 * [backup-simplify]: Simplify 1 into 1 7.919 * [backup-simplify]: Simplify (/ -1 1) into -1 7.919 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 7.919 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.919 * [taylor]: Taking taylor expansion of -1 in re 7.919 * [backup-simplify]: Simplify -1 into -1 7.919 * [taylor]: Taking taylor expansion of im in re 7.919 * [backup-simplify]: Simplify im into im 7.919 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.919 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.919 * [taylor]: Taking taylor expansion of -1 in re 7.919 * [backup-simplify]: Simplify -1 into -1 7.919 * [taylor]: Taking taylor expansion of im in re 7.919 * [backup-simplify]: Simplify im into im 7.919 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.920 * [backup-simplify]: Simplify (* -1 -1) into 1 7.920 * [backup-simplify]: Simplify (+ 1 0) into 1 7.920 * [backup-simplify]: Simplify (sqrt 1) into 1 7.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.921 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.922 * [backup-simplify]: Simplify (+ 0 0) into 0 7.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.922 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.922 * [taylor]: Taking taylor expansion of re in re 7.922 * [backup-simplify]: Simplify 0 into 0 7.922 * [backup-simplify]: Simplify 1 into 1 7.922 * [backup-simplify]: Simplify (/ 1 1) into 1 7.922 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 7.922 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 7.922 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 7.923 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 7.923 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 7.923 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.923 * [taylor]: Taking taylor expansion of -1 in re 7.923 * [backup-simplify]: Simplify -1 into -1 7.923 * [taylor]: Taking taylor expansion of re in re 7.923 * [backup-simplify]: Simplify 0 into 0 7.923 * [backup-simplify]: Simplify 1 into 1 7.923 * [backup-simplify]: Simplify (/ -1 1) into -1 7.923 * [taylor]: Taking taylor expansion of (/ -1 re) in re 7.923 * [taylor]: Taking taylor expansion of -1 in re 7.923 * [backup-simplify]: Simplify -1 into -1 7.923 * [taylor]: Taking taylor expansion of re in re 7.923 * [backup-simplify]: Simplify 0 into 0 7.923 * [backup-simplify]: Simplify 1 into 1 7.923 * [backup-simplify]: Simplify (/ -1 1) into -1 7.923 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 7.923 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.923 * [taylor]: Taking taylor expansion of -1 in re 7.923 * [backup-simplify]: Simplify -1 into -1 7.923 * [taylor]: Taking taylor expansion of im in re 7.923 * [backup-simplify]: Simplify im into im 7.923 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.923 * [taylor]: Taking taylor expansion of (/ -1 im) in re 7.923 * [taylor]: Taking taylor expansion of -1 in re 7.924 * [backup-simplify]: Simplify -1 into -1 7.924 * [taylor]: Taking taylor expansion of im in re 7.924 * [backup-simplify]: Simplify im into im 7.924 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 7.924 * [backup-simplify]: Simplify (* -1 -1) into 1 7.924 * [backup-simplify]: Simplify (+ 1 0) into 1 7.924 * [backup-simplify]: Simplify (sqrt 1) into 1 7.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.926 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 7.926 * [backup-simplify]: Simplify (+ 0 0) into 0 7.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.926 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.926 * [taylor]: Taking taylor expansion of re in re 7.926 * [backup-simplify]: Simplify 0 into 0 7.926 * [backup-simplify]: Simplify 1 into 1 7.927 * [backup-simplify]: Simplify (/ 1 1) into 1 7.927 * [backup-simplify]: Simplify (- 1) into -1 7.927 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.927 * [taylor]: Taking taylor expansion of 0 in im 7.927 * [backup-simplify]: Simplify 0 into 0 7.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.928 * [backup-simplify]: Simplify (- 0) into 0 7.928 * [backup-simplify]: Simplify (+ 0 0) into 0 7.928 * [taylor]: Taking taylor expansion of 0 in im 7.928 * [backup-simplify]: Simplify 0 into 0 7.928 * [backup-simplify]: Simplify 0 into 0 7.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.930 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 7.930 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 7.930 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.931 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.932 * [backup-simplify]: Simplify (- 0) into 0 7.932 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 7.932 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 7.932 * [taylor]: Taking taylor expansion of 1/2 in im 7.932 * [backup-simplify]: Simplify 1/2 into 1/2 7.932 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.932 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.932 * [taylor]: Taking taylor expansion of im in im 7.932 * [backup-simplify]: Simplify 0 into 0 7.932 * [backup-simplify]: Simplify 1 into 1 7.933 * [backup-simplify]: Simplify (* 1 1) into 1 7.933 * [backup-simplify]: Simplify (/ 1 1) into 1 7.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.934 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.934 * [backup-simplify]: Simplify 0 into 0 7.934 * [backup-simplify]: Simplify 0 into 0 7.934 * [backup-simplify]: Simplify 0 into 0 7.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.936 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 7.936 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 7.936 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 7.936 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 7.937 * [backup-simplify]: Simplify (+ 0 0) into 0 7.937 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.938 * [backup-simplify]: Simplify (- 0) into 0 7.938 * [backup-simplify]: Simplify (+ 0 0) into 0 7.938 * [taylor]: Taking taylor expansion of 0 in im 7.938 * [backup-simplify]: Simplify 0 into 0 7.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.940 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.940 * [backup-simplify]: Simplify 0 into 0 7.940 * [backup-simplify]: Simplify 0 into 0 7.940 * [backup-simplify]: Simplify 0 into 0 7.940 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2) 7.940 * [backup-simplify]: Simplify (cbrt (hypot re im)) into (pow (hypot re im) 1/3) 7.940 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 7.940 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 7.940 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 7.940 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 7.940 * [taylor]: Taking taylor expansion of 1/3 in im 7.940 * [backup-simplify]: Simplify 1/3 into 1/3 7.940 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 7.940 * [taylor]: Taking taylor expansion of (hypot re im) in im 7.940 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.940 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 7.940 * [taylor]: Taking taylor expansion of (* re re) in im 7.940 * [taylor]: Taking taylor expansion of re in im 7.940 * [backup-simplify]: Simplify re into re 7.940 * [taylor]: Taking taylor expansion of re in im 7.940 * [backup-simplify]: Simplify re into re 7.940 * [taylor]: Taking taylor expansion of (* im im) in im 7.940 * [taylor]: Taking taylor expansion of im in im 7.941 * [backup-simplify]: Simplify 0 into 0 7.941 * [backup-simplify]: Simplify 1 into 1 7.941 * [taylor]: Taking taylor expansion of im in im 7.941 * [backup-simplify]: Simplify 0 into 0 7.941 * [backup-simplify]: Simplify 1 into 1 7.941 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.941 * [backup-simplify]: Simplify (* 0 0) into 0 7.941 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 7.941 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.942 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.942 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.943 * [backup-simplify]: Simplify (+ 0 0) into 0 7.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.943 * [backup-simplify]: Simplify (log re) into (log re) 7.943 * [backup-simplify]: Simplify (* 1/3 (log re)) into (* 1/3 (log re)) 7.943 * [backup-simplify]: Simplify (exp (* 1/3 (log re))) into (pow re 1/3) 7.943 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 7.943 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 7.943 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 7.943 * [taylor]: Taking taylor expansion of 1/3 in re 7.943 * [backup-simplify]: Simplify 1/3 into 1/3 7.943 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 7.943 * [taylor]: Taking taylor expansion of (hypot re im) in re 7.943 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.943 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 7.943 * [taylor]: Taking taylor expansion of (* re re) in re 7.943 * [taylor]: Taking taylor expansion of re in re 7.944 * [backup-simplify]: Simplify 0 into 0 7.944 * [backup-simplify]: Simplify 1 into 1 7.944 * [taylor]: Taking taylor expansion of re in re 7.944 * [backup-simplify]: Simplify 0 into 0 7.944 * [backup-simplify]: Simplify 1 into 1 7.944 * [taylor]: Taking taylor expansion of (* im im) in re 7.944 * [taylor]: Taking taylor expansion of im in re 7.944 * [backup-simplify]: Simplify im into im 7.944 * [taylor]: Taking taylor expansion of im in re 7.944 * [backup-simplify]: Simplify im into im 7.944 * [backup-simplify]: Simplify (* 0 0) into 0 7.944 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.944 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.945 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.945 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.945 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.946 * [backup-simplify]: Simplify (+ 0 0) into 0 7.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.946 * [backup-simplify]: Simplify (log im) into (log im) 7.946 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 7.946 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 7.946 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 7.946 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 7.946 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 7.946 * [taylor]: Taking taylor expansion of 1/3 in re 7.946 * [backup-simplify]: Simplify 1/3 into 1/3 7.946 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 7.946 * [taylor]: Taking taylor expansion of (hypot re im) in re 7.947 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 7.947 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 7.947 * [taylor]: Taking taylor expansion of (* re re) in re 7.947 * [taylor]: Taking taylor expansion of re in re 7.947 * [backup-simplify]: Simplify 0 into 0 7.947 * [backup-simplify]: Simplify 1 into 1 7.947 * [taylor]: Taking taylor expansion of re in re 7.947 * [backup-simplify]: Simplify 0 into 0 7.947 * [backup-simplify]: Simplify 1 into 1 7.947 * [taylor]: Taking taylor expansion of (* im im) in re 7.947 * [taylor]: Taking taylor expansion of im in re 7.947 * [backup-simplify]: Simplify im into im 7.947 * [taylor]: Taking taylor expansion of im in re 7.947 * [backup-simplify]: Simplify im into im 7.947 * [backup-simplify]: Simplify (* 0 0) into 0 7.947 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.948 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 7.948 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.948 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 7.949 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.949 * [backup-simplify]: Simplify (+ 0 0) into 0 7.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.949 * [backup-simplify]: Simplify (log im) into (log im) 7.949 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 7.949 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 7.950 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 7.950 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 7.950 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 7.950 * [taylor]: Taking taylor expansion of 1/3 in im 7.950 * [backup-simplify]: Simplify 1/3 into 1/3 7.950 * [taylor]: Taking taylor expansion of (log im) in im 7.950 * [taylor]: Taking taylor expansion of im in im 7.950 * [backup-simplify]: Simplify 0 into 0 7.950 * [backup-simplify]: Simplify 1 into 1 7.950 * [backup-simplify]: Simplify (log 1) into 0 7.951 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 7.951 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 7.951 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 7.951 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3) 7.952 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 7.953 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0 7.954 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 7.954 * [taylor]: Taking taylor expansion of 0 in im 7.954 * [backup-simplify]: Simplify 0 into 0 7.954 * [backup-simplify]: Simplify 0 into 0 7.960 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.961 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 7.962 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0 7.963 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 7.963 * [backup-simplify]: Simplify 0 into 0 7.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 7.964 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.964 * [backup-simplify]: Simplify (+ 1 0) into 1 7.965 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.965 * [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)) 7.966 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/6 (/ 1 (pow im 2))) 7.967 * [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)) 7.967 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 7.967 * [taylor]: Taking taylor expansion of 1/6 in im 7.967 * [backup-simplify]: Simplify 1/6 into 1/6 7.967 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 7.967 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 7.967 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 7.967 * [taylor]: Taking taylor expansion of 1/3 in im 7.967 * [backup-simplify]: Simplify 1/3 into 1/3 7.967 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 7.967 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 7.967 * [taylor]: Taking taylor expansion of (pow im 5) in im 7.967 * [taylor]: Taking taylor expansion of im in im 7.967 * [backup-simplify]: Simplify 0 into 0 7.967 * [backup-simplify]: Simplify 1 into 1 7.967 * [backup-simplify]: Simplify (* 1 1) into 1 7.967 * [backup-simplify]: Simplify (* 1 1) into 1 7.968 * [backup-simplify]: Simplify (* 1 1) into 1 7.968 * [backup-simplify]: Simplify (/ 1 1) into 1 7.968 * [backup-simplify]: Simplify (log 1) into 0 7.969 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 7.969 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im)) 7.969 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3) 7.969 * [backup-simplify]: Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 7.969 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 7.969 * [backup-simplify]: Simplify 0 into 0 7.971 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.971 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 7.971 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log im)))) into 0 7.972 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.972 * [backup-simplify]: Simplify 0 into 0 7.973 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 7.973 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.974 * [backup-simplify]: Simplify (+ 0 0) into 0 7.974 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.975 * [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 7.976 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0 7.977 * [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 7.977 * [taylor]: Taking taylor expansion of 0 in im 7.977 * [backup-simplify]: Simplify 0 into 0 7.977 * [backup-simplify]: Simplify 0 into 0 7.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.980 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.980 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 7.980 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0 7.981 * [backup-simplify]: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 7.981 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0 7.981 * [backup-simplify]: Simplify 0 into 0 7.981 * [backup-simplify]: Simplify 0 into 0 7.984 * [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 7.984 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 7.985 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0 7.986 * [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 7.986 * [backup-simplify]: Simplify 0 into 0 7.986 * [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)) 7.987 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 re) (/ 1 im))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/3) 7.987 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 7.987 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 7.987 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 7.987 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 7.987 * [taylor]: Taking taylor expansion of 1/3 in im 7.987 * [backup-simplify]: Simplify 1/3 into 1/3 7.987 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 7.987 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 7.987 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.987 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 7.987 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 7.987 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.987 * [taylor]: Taking taylor expansion of re in im 7.987 * [backup-simplify]: Simplify re into re 7.987 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.987 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.987 * [taylor]: Taking taylor expansion of re in im 7.987 * [backup-simplify]: Simplify re into re 7.987 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.987 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 7.987 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.987 * [taylor]: Taking taylor expansion of im in im 7.987 * [backup-simplify]: Simplify 0 into 0 7.987 * [backup-simplify]: Simplify 1 into 1 7.987 * [backup-simplify]: Simplify (/ 1 1) into 1 7.987 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.987 * [taylor]: Taking taylor expansion of im in im 7.987 * [backup-simplify]: Simplify 0 into 0 7.987 * [backup-simplify]: Simplify 1 into 1 7.988 * [backup-simplify]: Simplify (/ 1 1) into 1 7.988 * [backup-simplify]: Simplify (* 1 1) into 1 7.988 * [backup-simplify]: Simplify (+ 0 1) into 1 7.988 * [backup-simplify]: Simplify (sqrt 1) into 1 7.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.990 * [backup-simplify]: Simplify (+ 0 0) into 0 7.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.991 * [backup-simplify]: Simplify (log 1) into 0 7.991 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 7.991 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im)) 7.991 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 7.991 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 7.991 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 7.991 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 7.991 * [taylor]: Taking taylor expansion of 1/3 in re 7.991 * [backup-simplify]: Simplify 1/3 into 1/3 7.991 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 7.991 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 7.991 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.991 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 7.991 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 7.991 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.991 * [taylor]: Taking taylor expansion of re in re 7.991 * [backup-simplify]: Simplify 0 into 0 7.991 * [backup-simplify]: Simplify 1 into 1 7.992 * [backup-simplify]: Simplify (/ 1 1) into 1 7.992 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.992 * [taylor]: Taking taylor expansion of re in re 7.992 * [backup-simplify]: Simplify 0 into 0 7.992 * [backup-simplify]: Simplify 1 into 1 7.992 * [backup-simplify]: Simplify (/ 1 1) into 1 7.992 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 7.992 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.992 * [taylor]: Taking taylor expansion of im in re 7.992 * [backup-simplify]: Simplify im into im 7.992 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.992 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.992 * [taylor]: Taking taylor expansion of im in re 7.992 * [backup-simplify]: Simplify im into im 7.992 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.992 * [backup-simplify]: Simplify (* 1 1) into 1 7.993 * [backup-simplify]: Simplify (+ 1 0) into 1 7.993 * [backup-simplify]: Simplify (sqrt 1) into 1 7.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.994 * [backup-simplify]: Simplify (+ 0 0) into 0 7.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.995 * [backup-simplify]: Simplify (log 1) into 0 7.995 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 7.995 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 7.995 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 7.995 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 7.995 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 7.995 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 7.995 * [taylor]: Taking taylor expansion of 1/3 in re 7.995 * [backup-simplify]: Simplify 1/3 into 1/3 7.996 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 7.996 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 7.996 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 7.996 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 7.996 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 7.996 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.996 * [taylor]: Taking taylor expansion of re in re 7.996 * [backup-simplify]: Simplify 0 into 0 7.996 * [backup-simplify]: Simplify 1 into 1 7.996 * [backup-simplify]: Simplify (/ 1 1) into 1 7.996 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.996 * [taylor]: Taking taylor expansion of re in re 7.996 * [backup-simplify]: Simplify 0 into 0 7.996 * [backup-simplify]: Simplify 1 into 1 7.996 * [backup-simplify]: Simplify (/ 1 1) into 1 7.996 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 7.996 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.996 * [taylor]: Taking taylor expansion of im in re 7.996 * [backup-simplify]: Simplify im into im 7.996 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.996 * [taylor]: Taking taylor expansion of (/ 1 im) in re 7.996 * [taylor]: Taking taylor expansion of im in re 7.996 * [backup-simplify]: Simplify im into im 7.996 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.997 * [backup-simplify]: Simplify (* 1 1) into 1 7.997 * [backup-simplify]: Simplify (+ 1 0) into 1 7.997 * [backup-simplify]: Simplify (sqrt 1) into 1 7.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.999 * [backup-simplify]: Simplify (+ 0 0) into 0 7.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.999 * [backup-simplify]: Simplify (log 1) into 0 8.000 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.000 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 8.000 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 8.000 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 8.000 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 8.000 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 8.000 * [taylor]: Taking taylor expansion of -1/3 in im 8.000 * [backup-simplify]: Simplify -1/3 into -1/3 8.000 * [taylor]: Taking taylor expansion of (log re) in im 8.000 * [taylor]: Taking taylor expansion of re in im 8.000 * [backup-simplify]: Simplify re into re 8.000 * [backup-simplify]: Simplify (log re) into (log re) 8.000 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 8.000 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 8.000 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 8.002 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.002 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.003 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0 8.004 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 8.004 * [taylor]: Taking taylor expansion of 0 in im 8.004 * [backup-simplify]: Simplify 0 into 0 8.004 * [backup-simplify]: Simplify 0 into 0 8.005 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 8.005 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 8.006 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 8.006 * [backup-simplify]: Simplify 0 into 0 8.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.009 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 8.009 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.011 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.013 * [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)) 8.013 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.014 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2))) 8.015 * [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)))) 8.015 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 8.015 * [taylor]: Taking taylor expansion of 1/6 in im 8.015 * [backup-simplify]: Simplify 1/6 into 1/6 8.015 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 8.015 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 8.015 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 8.015 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 8.015 * [taylor]: Taking taylor expansion of 1/3 in im 8.015 * [backup-simplify]: Simplify 1/3 into 1/3 8.015 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 8.015 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.015 * [taylor]: Taking taylor expansion of re in im 8.016 * [backup-simplify]: Simplify re into re 8.016 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.016 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 8.016 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 8.016 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 8.016 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.016 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.016 * [taylor]: Taking taylor expansion of im in im 8.016 * [backup-simplify]: Simplify 0 into 0 8.016 * [backup-simplify]: Simplify 1 into 1 8.016 * [backup-simplify]: Simplify (* 1 1) into 1 8.017 * [backup-simplify]: Simplify (/ 1 1) into 1 8.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 8.019 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 8.020 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 8.020 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 8.021 * [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 8.022 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 8.023 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.023 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 8.024 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 8.024 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 8.025 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 8.025 * [backup-simplify]: Simplify 0 into 0 8.025 * [backup-simplify]: Simplify 0 into 0 8.026 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 8.026 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 8.027 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.027 * [backup-simplify]: Simplify 0 into 0 8.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 8.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 8.029 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 8.029 * [backup-simplify]: Simplify (+ 0 0) into 0 8.030 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.032 * [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 8.032 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.033 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 8.034 * [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 8.034 * [taylor]: Taking taylor expansion of 0 in im 8.034 * [backup-simplify]: Simplify 0 into 0 8.034 * [backup-simplify]: Simplify 0 into 0 8.034 * [backup-simplify]: Simplify (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3) 8.034 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/3) 8.034 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 8.034 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 8.034 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 8.035 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 8.035 * [taylor]: Taking taylor expansion of 1/3 in im 8.035 * [backup-simplify]: Simplify 1/3 into 1/3 8.035 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 8.035 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 8.035 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.035 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 8.035 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 8.035 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.035 * [taylor]: Taking taylor expansion of -1 in im 8.035 * [backup-simplify]: Simplify -1 into -1 8.035 * [taylor]: Taking taylor expansion of re in im 8.035 * [backup-simplify]: Simplify re into re 8.035 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.035 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.035 * [taylor]: Taking taylor expansion of -1 in im 8.035 * [backup-simplify]: Simplify -1 into -1 8.035 * [taylor]: Taking taylor expansion of re in im 8.035 * [backup-simplify]: Simplify re into re 8.035 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.035 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 8.035 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.035 * [taylor]: Taking taylor expansion of -1 in im 8.035 * [backup-simplify]: Simplify -1 into -1 8.035 * [taylor]: Taking taylor expansion of im in im 8.035 * [backup-simplify]: Simplify 0 into 0 8.035 * [backup-simplify]: Simplify 1 into 1 8.035 * [backup-simplify]: Simplify (/ -1 1) into -1 8.035 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.035 * [taylor]: Taking taylor expansion of -1 in im 8.035 * [backup-simplify]: Simplify -1 into -1 8.035 * [taylor]: Taking taylor expansion of im in im 8.035 * [backup-simplify]: Simplify 0 into 0 8.035 * [backup-simplify]: Simplify 1 into 1 8.036 * [backup-simplify]: Simplify (/ -1 1) into -1 8.036 * [backup-simplify]: Simplify (* -1 -1) into 1 8.036 * [backup-simplify]: Simplify (+ 0 1) into 1 8.036 * [backup-simplify]: Simplify (sqrt 1) into 1 8.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.038 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.038 * [backup-simplify]: Simplify (+ 0 0) into 0 8.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.039 * [backup-simplify]: Simplify (log 1) into 0 8.039 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 8.040 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im)) 8.040 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 8.040 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 8.040 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 8.040 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 8.040 * [taylor]: Taking taylor expansion of 1/3 in re 8.040 * [backup-simplify]: Simplify 1/3 into 1/3 8.040 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 8.040 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.040 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.040 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.040 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.040 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.040 * [taylor]: Taking taylor expansion of -1 in re 8.040 * [backup-simplify]: Simplify -1 into -1 8.040 * [taylor]: Taking taylor expansion of re in re 8.040 * [backup-simplify]: Simplify 0 into 0 8.040 * [backup-simplify]: Simplify 1 into 1 8.041 * [backup-simplify]: Simplify (/ -1 1) into -1 8.041 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.041 * [taylor]: Taking taylor expansion of -1 in re 8.041 * [backup-simplify]: Simplify -1 into -1 8.041 * [taylor]: Taking taylor expansion of re in re 8.041 * [backup-simplify]: Simplify 0 into 0 8.041 * [backup-simplify]: Simplify 1 into 1 8.041 * [backup-simplify]: Simplify (/ -1 1) into -1 8.041 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.041 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.041 * [taylor]: Taking taylor expansion of -1 in re 8.041 * [backup-simplify]: Simplify -1 into -1 8.041 * [taylor]: Taking taylor expansion of im in re 8.041 * [backup-simplify]: Simplify im into im 8.041 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.041 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.041 * [taylor]: Taking taylor expansion of -1 in re 8.041 * [backup-simplify]: Simplify -1 into -1 8.041 * [taylor]: Taking taylor expansion of im in re 8.041 * [backup-simplify]: Simplify im into im 8.041 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.041 * [backup-simplify]: Simplify (* -1 -1) into 1 8.042 * [backup-simplify]: Simplify (+ 1 0) into 1 8.042 * [backup-simplify]: Simplify (sqrt 1) into 1 8.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.043 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.044 * [backup-simplify]: Simplify (+ 0 0) into 0 8.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.044 * [backup-simplify]: Simplify (log 1) into 0 8.045 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.045 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 8.045 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 8.045 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 8.045 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 8.045 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 8.045 * [taylor]: Taking taylor expansion of 1/3 in re 8.045 * [backup-simplify]: Simplify 1/3 into 1/3 8.045 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 8.045 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.045 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.045 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.046 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.046 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.046 * [taylor]: Taking taylor expansion of -1 in re 8.046 * [backup-simplify]: Simplify -1 into -1 8.046 * [taylor]: Taking taylor expansion of re in re 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify 1 into 1 8.046 * [backup-simplify]: Simplify (/ -1 1) into -1 8.046 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.046 * [taylor]: Taking taylor expansion of -1 in re 8.046 * [backup-simplify]: Simplify -1 into -1 8.046 * [taylor]: Taking taylor expansion of re in re 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify 1 into 1 8.047 * [backup-simplify]: Simplify (/ -1 1) into -1 8.047 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.047 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.047 * [taylor]: Taking taylor expansion of -1 in re 8.047 * [backup-simplify]: Simplify -1 into -1 8.047 * [taylor]: Taking taylor expansion of im in re 8.047 * [backup-simplify]: Simplify im into im 8.047 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.047 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.047 * [taylor]: Taking taylor expansion of -1 in re 8.047 * [backup-simplify]: Simplify -1 into -1 8.047 * [taylor]: Taking taylor expansion of im in re 8.047 * [backup-simplify]: Simplify im into im 8.047 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.048 * [backup-simplify]: Simplify (* -1 -1) into 1 8.048 * [backup-simplify]: Simplify (+ 1 0) into 1 8.048 * [backup-simplify]: Simplify (sqrt 1) into 1 8.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.051 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.051 * [backup-simplify]: Simplify (+ 0 0) into 0 8.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.052 * [backup-simplify]: Simplify (log 1) into 0 8.053 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.053 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 8.053 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 8.053 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 8.053 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 8.053 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 8.053 * [taylor]: Taking taylor expansion of -1/3 in im 8.053 * [backup-simplify]: Simplify -1/3 into -1/3 8.053 * [taylor]: Taking taylor expansion of (log re) in im 8.054 * [taylor]: Taking taylor expansion of re in im 8.054 * [backup-simplify]: Simplify re into re 8.054 * [backup-simplify]: Simplify (log re) into (log re) 8.054 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 8.054 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 8.054 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 8.056 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.056 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.057 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0 8.058 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 8.058 * [taylor]: Taking taylor expansion of 0 in im 8.058 * [backup-simplify]: Simplify 0 into 0 8.058 * [backup-simplify]: Simplify 0 into 0 8.059 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 8.059 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 8.060 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 8.060 * [backup-simplify]: Simplify 0 into 0 8.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.063 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.063 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 8.064 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.065 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.067 * [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)) 8.068 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.069 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2))) 8.070 * [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)))) 8.070 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 8.070 * [taylor]: Taking taylor expansion of 1/6 in im 8.070 * [backup-simplify]: Simplify 1/6 into 1/6 8.070 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 8.070 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 8.070 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 8.070 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 8.070 * [taylor]: Taking taylor expansion of 1/3 in im 8.070 * [backup-simplify]: Simplify 1/3 into 1/3 8.070 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 8.070 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.070 * [taylor]: Taking taylor expansion of re in im 8.070 * [backup-simplify]: Simplify re into re 8.070 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.070 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 8.071 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 8.071 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 8.071 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.071 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.071 * [taylor]: Taking taylor expansion of im in im 8.071 * [backup-simplify]: Simplify 0 into 0 8.071 * [backup-simplify]: Simplify 1 into 1 8.076 * [backup-simplify]: Simplify (* 1 1) into 1 8.077 * [backup-simplify]: Simplify (/ 1 1) into 1 8.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 8.081 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 8.082 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 8.083 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 8.085 * [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 8.086 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 8.087 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.088 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 8.089 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 8.089 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 8.089 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 8.089 * [backup-simplify]: Simplify 0 into 0 8.089 * [backup-simplify]: Simplify 0 into 0 8.090 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 8.091 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 8.092 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.092 * [backup-simplify]: Simplify 0 into 0 8.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.094 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 8.094 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 8.094 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 8.094 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 8.095 * [backup-simplify]: Simplify (+ 0 0) into 0 8.095 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.097 * [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 8.097 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.098 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 8.099 * [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 8.099 * [taylor]: Taking taylor expansion of 0 in im 8.099 * [backup-simplify]: Simplify 0 into 0 8.099 * [backup-simplify]: Simplify 0 into 0 8.100 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3) 8.100 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1 2) 8.100 * [backup-simplify]: Simplify (cbrt (hypot re im)) into (pow (hypot re im) 1/3) 8.100 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 8.100 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 8.100 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 8.100 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 8.100 * [taylor]: Taking taylor expansion of 1/3 in im 8.100 * [backup-simplify]: Simplify 1/3 into 1/3 8.100 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 8.100 * [taylor]: Taking taylor expansion of (hypot re im) in im 8.100 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.100 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 8.100 * [taylor]: Taking taylor expansion of (* re re) in im 8.100 * [taylor]: Taking taylor expansion of re in im 8.100 * [backup-simplify]: Simplify re into re 8.100 * [taylor]: Taking taylor expansion of re in im 8.100 * [backup-simplify]: Simplify re into re 8.100 * [taylor]: Taking taylor expansion of (* im im) in im 8.100 * [taylor]: Taking taylor expansion of im in im 8.100 * [backup-simplify]: Simplify 0 into 0 8.100 * [backup-simplify]: Simplify 1 into 1 8.100 * [taylor]: Taking taylor expansion of im in im 8.100 * [backup-simplify]: Simplify 0 into 0 8.100 * [backup-simplify]: Simplify 1 into 1 8.100 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.100 * [backup-simplify]: Simplify (* 0 0) into 0 8.101 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.101 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.101 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.101 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.101 * [backup-simplify]: Simplify (+ 0 0) into 0 8.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.102 * [backup-simplify]: Simplify (log re) into (log re) 8.102 * [backup-simplify]: Simplify (* 1/3 (log re)) into (* 1/3 (log re)) 8.102 * [backup-simplify]: Simplify (exp (* 1/3 (log re))) into (pow re 1/3) 8.102 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 8.102 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 8.102 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 8.102 * [taylor]: Taking taylor expansion of 1/3 in re 8.102 * [backup-simplify]: Simplify 1/3 into 1/3 8.102 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 8.102 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.102 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.102 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.102 * [taylor]: Taking taylor expansion of (* re re) in re 8.102 * [taylor]: Taking taylor expansion of re in re 8.102 * [backup-simplify]: Simplify 0 into 0 8.102 * [backup-simplify]: Simplify 1 into 1 8.102 * [taylor]: Taking taylor expansion of re in re 8.102 * [backup-simplify]: Simplify 0 into 0 8.102 * [backup-simplify]: Simplify 1 into 1 8.102 * [taylor]: Taking taylor expansion of (* im im) in re 8.102 * [taylor]: Taking taylor expansion of im in re 8.102 * [backup-simplify]: Simplify im into im 8.102 * [taylor]: Taking taylor expansion of im in re 8.102 * [backup-simplify]: Simplify im into im 8.102 * [backup-simplify]: Simplify (* 0 0) into 0 8.102 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.102 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.103 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.103 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.103 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.103 * [backup-simplify]: Simplify (+ 0 0) into 0 8.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.103 * [backup-simplify]: Simplify (log im) into (log im) 8.103 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 8.103 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 8.103 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 8.104 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 8.104 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 8.104 * [taylor]: Taking taylor expansion of 1/3 in re 8.104 * [backup-simplify]: Simplify 1/3 into 1/3 8.104 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 8.104 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.104 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.104 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.104 * [taylor]: Taking taylor expansion of (* re re) in re 8.104 * [taylor]: Taking taylor expansion of re in re 8.104 * [backup-simplify]: Simplify 0 into 0 8.104 * [backup-simplify]: Simplify 1 into 1 8.104 * [taylor]: Taking taylor expansion of re in re 8.104 * [backup-simplify]: Simplify 0 into 0 8.104 * [backup-simplify]: Simplify 1 into 1 8.104 * [taylor]: Taking taylor expansion of (* im im) in re 8.104 * [taylor]: Taking taylor expansion of im in re 8.104 * [backup-simplify]: Simplify im into im 8.104 * [taylor]: Taking taylor expansion of im in re 8.104 * [backup-simplify]: Simplify im into im 8.104 * [backup-simplify]: Simplify (* 0 0) into 0 8.104 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.104 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.104 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.105 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.105 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.105 * [backup-simplify]: Simplify (+ 0 0) into 0 8.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.105 * [backup-simplify]: Simplify (log im) into (log im) 8.105 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 8.105 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 8.105 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 8.105 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 8.105 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 8.105 * [taylor]: Taking taylor expansion of 1/3 in im 8.105 * [backup-simplify]: Simplify 1/3 into 1/3 8.105 * [taylor]: Taking taylor expansion of (log im) in im 8.105 * [taylor]: Taking taylor expansion of im in im 8.105 * [backup-simplify]: Simplify 0 into 0 8.105 * [backup-simplify]: Simplify 1 into 1 8.106 * [backup-simplify]: Simplify (log 1) into 0 8.106 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 8.106 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 8.106 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 8.106 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3) 8.107 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 8.107 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0 8.108 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 8.108 * [taylor]: Taking taylor expansion of 0 in im 8.108 * [backup-simplify]: Simplify 0 into 0 8.108 * [backup-simplify]: Simplify 0 into 0 8.108 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.109 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 8.109 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0 8.110 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 8.110 * [backup-simplify]: Simplify 0 into 0 8.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.110 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.111 * [backup-simplify]: Simplify (+ 1 0) into 1 8.111 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.112 * [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)) 8.112 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/6 (/ 1 (pow im 2))) 8.113 * [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)) 8.113 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 8.113 * [taylor]: Taking taylor expansion of 1/6 in im 8.113 * [backup-simplify]: Simplify 1/6 into 1/6 8.113 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 8.113 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 8.113 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 8.113 * [taylor]: Taking taylor expansion of 1/3 in im 8.113 * [backup-simplify]: Simplify 1/3 into 1/3 8.113 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 8.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 8.113 * [taylor]: Taking taylor expansion of (pow im 5) in im 8.113 * [taylor]: Taking taylor expansion of im in im 8.113 * [backup-simplify]: Simplify 0 into 0 8.113 * [backup-simplify]: Simplify 1 into 1 8.113 * [backup-simplify]: Simplify (* 1 1) into 1 8.114 * [backup-simplify]: Simplify (* 1 1) into 1 8.114 * [backup-simplify]: Simplify (* 1 1) into 1 8.114 * [backup-simplify]: Simplify (/ 1 1) into 1 8.114 * [backup-simplify]: Simplify (log 1) into 0 8.115 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 8.115 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im)) 8.115 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3) 8.115 * [backup-simplify]: Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 8.115 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 8.115 * [backup-simplify]: Simplify 0 into 0 8.117 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.118 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 8.119 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log im)))) into 0 8.120 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.120 * [backup-simplify]: Simplify 0 into 0 8.121 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.122 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.122 * [backup-simplify]: Simplify (+ 0 0) into 0 8.123 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.125 * [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 8.126 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0 8.129 * [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 8.129 * [taylor]: Taking taylor expansion of 0 in im 8.129 * [backup-simplify]: Simplify 0 into 0 8.129 * [backup-simplify]: Simplify 0 into 0 8.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.133 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.133 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 8.134 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0 8.135 * [backup-simplify]: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 8.136 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0 8.136 * [backup-simplify]: Simplify 0 into 0 8.136 * [backup-simplify]: Simplify 0 into 0 8.141 * [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 8.141 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 8.143 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0 8.144 * [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 8.144 * [backup-simplify]: Simplify 0 into 0 8.145 * [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)) 8.145 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 re) (/ 1 im))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/3) 8.145 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 8.145 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 8.145 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 8.145 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 8.146 * [taylor]: Taking taylor expansion of 1/3 in im 8.146 * [backup-simplify]: Simplify 1/3 into 1/3 8.146 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 8.146 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 8.146 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.146 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 8.146 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 8.146 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.146 * [taylor]: Taking taylor expansion of re in im 8.146 * [backup-simplify]: Simplify re into re 8.146 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.146 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.146 * [taylor]: Taking taylor expansion of re in im 8.146 * [backup-simplify]: Simplify re into re 8.146 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.146 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 8.146 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.146 * [taylor]: Taking taylor expansion of im in im 8.146 * [backup-simplify]: Simplify 0 into 0 8.146 * [backup-simplify]: Simplify 1 into 1 8.147 * [backup-simplify]: Simplify (/ 1 1) into 1 8.147 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.147 * [taylor]: Taking taylor expansion of im in im 8.147 * [backup-simplify]: Simplify 0 into 0 8.147 * [backup-simplify]: Simplify 1 into 1 8.147 * [backup-simplify]: Simplify (/ 1 1) into 1 8.148 * [backup-simplify]: Simplify (* 1 1) into 1 8.148 * [backup-simplify]: Simplify (+ 0 1) into 1 8.148 * [backup-simplify]: Simplify (sqrt 1) into 1 8.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.151 * [backup-simplify]: Simplify (+ 0 0) into 0 8.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.152 * [backup-simplify]: Simplify (log 1) into 0 8.153 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 8.153 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im)) 8.153 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 8.153 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 8.153 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 8.153 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 8.153 * [taylor]: Taking taylor expansion of 1/3 in re 8.153 * [backup-simplify]: Simplify 1/3 into 1/3 8.153 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 8.153 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.153 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.154 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.154 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.154 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.154 * [taylor]: Taking taylor expansion of re in re 8.154 * [backup-simplify]: Simplify 0 into 0 8.154 * [backup-simplify]: Simplify 1 into 1 8.154 * [backup-simplify]: Simplify (/ 1 1) into 1 8.154 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.154 * [taylor]: Taking taylor expansion of re in re 8.154 * [backup-simplify]: Simplify 0 into 0 8.154 * [backup-simplify]: Simplify 1 into 1 8.155 * [backup-simplify]: Simplify (/ 1 1) into 1 8.155 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.155 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.155 * [taylor]: Taking taylor expansion of im in re 8.155 * [backup-simplify]: Simplify im into im 8.155 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.155 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.155 * [taylor]: Taking taylor expansion of im in re 8.155 * [backup-simplify]: Simplify im into im 8.155 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.155 * [backup-simplify]: Simplify (* 1 1) into 1 8.156 * [backup-simplify]: Simplify (+ 1 0) into 1 8.156 * [backup-simplify]: Simplify (sqrt 1) into 1 8.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.159 * [backup-simplify]: Simplify (+ 0 0) into 0 8.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.160 * [backup-simplify]: Simplify (log 1) into 0 8.160 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.161 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 8.161 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 8.161 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 8.161 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 8.161 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 8.161 * [taylor]: Taking taylor expansion of 1/3 in re 8.161 * [backup-simplify]: Simplify 1/3 into 1/3 8.161 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 8.161 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.161 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.161 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.161 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.161 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.161 * [taylor]: Taking taylor expansion of re in re 8.161 * [backup-simplify]: Simplify 0 into 0 8.161 * [backup-simplify]: Simplify 1 into 1 8.162 * [backup-simplify]: Simplify (/ 1 1) into 1 8.162 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.162 * [taylor]: Taking taylor expansion of re in re 8.162 * [backup-simplify]: Simplify 0 into 0 8.162 * [backup-simplify]: Simplify 1 into 1 8.162 * [backup-simplify]: Simplify (/ 1 1) into 1 8.162 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.162 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.162 * [taylor]: Taking taylor expansion of im in re 8.162 * [backup-simplify]: Simplify im into im 8.162 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.162 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.162 * [taylor]: Taking taylor expansion of im in re 8.162 * [backup-simplify]: Simplify im into im 8.163 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.163 * [backup-simplify]: Simplify (* 1 1) into 1 8.163 * [backup-simplify]: Simplify (+ 1 0) into 1 8.164 * [backup-simplify]: Simplify (sqrt 1) into 1 8.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.166 * [backup-simplify]: Simplify (+ 0 0) into 0 8.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.168 * [backup-simplify]: Simplify (log 1) into 0 8.168 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.168 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 8.168 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 8.168 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 8.168 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 8.168 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 8.168 * [taylor]: Taking taylor expansion of -1/3 in im 8.169 * [backup-simplify]: Simplify -1/3 into -1/3 8.169 * [taylor]: Taking taylor expansion of (log re) in im 8.169 * [taylor]: Taking taylor expansion of re in im 8.169 * [backup-simplify]: Simplify re into re 8.169 * [backup-simplify]: Simplify (log re) into (log re) 8.169 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 8.169 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 8.169 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 8.170 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.171 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.171 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0 8.172 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 8.172 * [taylor]: Taking taylor expansion of 0 in im 8.172 * [backup-simplify]: Simplify 0 into 0 8.172 * [backup-simplify]: Simplify 0 into 0 8.173 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 8.174 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 8.175 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 8.175 * [backup-simplify]: Simplify 0 into 0 8.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.178 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 8.178 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.179 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.182 * [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)) 8.182 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.183 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2))) 8.184 * [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)))) 8.185 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 8.185 * [taylor]: Taking taylor expansion of 1/6 in im 8.185 * [backup-simplify]: Simplify 1/6 into 1/6 8.185 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 8.185 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 8.185 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 8.185 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 8.185 * [taylor]: Taking taylor expansion of 1/3 in im 8.185 * [backup-simplify]: Simplify 1/3 into 1/3 8.185 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 8.185 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.185 * [taylor]: Taking taylor expansion of re in im 8.185 * [backup-simplify]: Simplify re into re 8.185 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.185 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 8.185 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 8.185 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 8.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.185 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.185 * [taylor]: Taking taylor expansion of im in im 8.185 * [backup-simplify]: Simplify 0 into 0 8.185 * [backup-simplify]: Simplify 1 into 1 8.186 * [backup-simplify]: Simplify (* 1 1) into 1 8.186 * [backup-simplify]: Simplify (/ 1 1) into 1 8.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 8.191 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 8.191 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 8.192 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 8.194 * [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 8.195 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 8.197 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.198 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 8.198 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 8.199 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 8.200 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 8.200 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify 0 into 0 8.202 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 8.202 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 8.204 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.204 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 8.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 8.207 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 8.208 * [backup-simplify]: Simplify (+ 0 0) into 0 8.209 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.212 * [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 8.213 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.220 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 8.223 * [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 8.223 * [taylor]: Taking taylor expansion of 0 in im 8.223 * [backup-simplify]: Simplify 0 into 0 8.223 * [backup-simplify]: Simplify 0 into 0 8.223 * [backup-simplify]: Simplify (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3) 8.223 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/3) 8.223 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 8.223 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 8.223 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 8.223 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 8.223 * [taylor]: Taking taylor expansion of 1/3 in im 8.223 * [backup-simplify]: Simplify 1/3 into 1/3 8.224 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 8.224 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 8.224 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.224 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 8.224 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 8.224 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.224 * [taylor]: Taking taylor expansion of -1 in im 8.224 * [backup-simplify]: Simplify -1 into -1 8.224 * [taylor]: Taking taylor expansion of re in im 8.224 * [backup-simplify]: Simplify re into re 8.224 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.224 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.224 * [taylor]: Taking taylor expansion of -1 in im 8.224 * [backup-simplify]: Simplify -1 into -1 8.224 * [taylor]: Taking taylor expansion of re in im 8.224 * [backup-simplify]: Simplify re into re 8.224 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.224 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 8.224 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.224 * [taylor]: Taking taylor expansion of -1 in im 8.224 * [backup-simplify]: Simplify -1 into -1 8.224 * [taylor]: Taking taylor expansion of im in im 8.224 * [backup-simplify]: Simplify 0 into 0 8.224 * [backup-simplify]: Simplify 1 into 1 8.225 * [backup-simplify]: Simplify (/ -1 1) into -1 8.225 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.225 * [taylor]: Taking taylor expansion of -1 in im 8.225 * [backup-simplify]: Simplify -1 into -1 8.225 * [taylor]: Taking taylor expansion of im in im 8.225 * [backup-simplify]: Simplify 0 into 0 8.225 * [backup-simplify]: Simplify 1 into 1 8.226 * [backup-simplify]: Simplify (/ -1 1) into -1 8.226 * [backup-simplify]: Simplify (* -1 -1) into 1 8.226 * [backup-simplify]: Simplify (+ 0 1) into 1 8.227 * [backup-simplify]: Simplify (sqrt 1) into 1 8.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.229 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.229 * [backup-simplify]: Simplify (+ 0 0) into 0 8.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.230 * [backup-simplify]: Simplify (log 1) into 0 8.230 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 8.230 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im)) 8.230 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 8.230 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 8.230 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 8.230 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 8.230 * [taylor]: Taking taylor expansion of 1/3 in re 8.230 * [backup-simplify]: Simplify 1/3 into 1/3 8.230 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 8.230 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.230 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.230 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.230 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.230 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.230 * [taylor]: Taking taylor expansion of -1 in re 8.230 * [backup-simplify]: Simplify -1 into -1 8.230 * [taylor]: Taking taylor expansion of re in re 8.230 * [backup-simplify]: Simplify 0 into 0 8.230 * [backup-simplify]: Simplify 1 into 1 8.231 * [backup-simplify]: Simplify (/ -1 1) into -1 8.231 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.231 * [taylor]: Taking taylor expansion of -1 in re 8.231 * [backup-simplify]: Simplify -1 into -1 8.231 * [taylor]: Taking taylor expansion of re in re 8.231 * [backup-simplify]: Simplify 0 into 0 8.231 * [backup-simplify]: Simplify 1 into 1 8.231 * [backup-simplify]: Simplify (/ -1 1) into -1 8.231 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.231 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.231 * [taylor]: Taking taylor expansion of -1 in re 8.231 * [backup-simplify]: Simplify -1 into -1 8.231 * [taylor]: Taking taylor expansion of im in re 8.231 * [backup-simplify]: Simplify im into im 8.231 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.231 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.231 * [taylor]: Taking taylor expansion of -1 in re 8.231 * [backup-simplify]: Simplify -1 into -1 8.231 * [taylor]: Taking taylor expansion of im in re 8.231 * [backup-simplify]: Simplify im into im 8.231 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.232 * [backup-simplify]: Simplify (* -1 -1) into 1 8.232 * [backup-simplify]: Simplify (+ 1 0) into 1 8.232 * [backup-simplify]: Simplify (sqrt 1) into 1 8.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.234 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.234 * [backup-simplify]: Simplify (+ 0 0) into 0 8.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.234 * [backup-simplify]: Simplify (log 1) into 0 8.235 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.235 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 8.235 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 8.235 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 8.235 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 8.235 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 8.235 * [taylor]: Taking taylor expansion of 1/3 in re 8.235 * [backup-simplify]: Simplify 1/3 into 1/3 8.235 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 8.235 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.235 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.235 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.235 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.235 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.235 * [taylor]: Taking taylor expansion of -1 in re 8.235 * [backup-simplify]: Simplify -1 into -1 8.235 * [taylor]: Taking taylor expansion of re in re 8.235 * [backup-simplify]: Simplify 0 into 0 8.235 * [backup-simplify]: Simplify 1 into 1 8.236 * [backup-simplify]: Simplify (/ -1 1) into -1 8.236 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.236 * [taylor]: Taking taylor expansion of -1 in re 8.236 * [backup-simplify]: Simplify -1 into -1 8.236 * [taylor]: Taking taylor expansion of re in re 8.236 * [backup-simplify]: Simplify 0 into 0 8.236 * [backup-simplify]: Simplify 1 into 1 8.236 * [backup-simplify]: Simplify (/ -1 1) into -1 8.236 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.236 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.236 * [taylor]: Taking taylor expansion of -1 in re 8.236 * [backup-simplify]: Simplify -1 into -1 8.236 * [taylor]: Taking taylor expansion of im in re 8.236 * [backup-simplify]: Simplify im into im 8.236 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.236 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.236 * [taylor]: Taking taylor expansion of -1 in re 8.236 * [backup-simplify]: Simplify -1 into -1 8.236 * [taylor]: Taking taylor expansion of im in re 8.236 * [backup-simplify]: Simplify im into im 8.236 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.236 * [backup-simplify]: Simplify (* -1 -1) into 1 8.237 * [backup-simplify]: Simplify (+ 1 0) into 1 8.237 * [backup-simplify]: Simplify (sqrt 1) into 1 8.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.239 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.239 * [backup-simplify]: Simplify (+ 0 0) into 0 8.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.240 * [backup-simplify]: Simplify (log 1) into 0 8.240 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.240 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 8.240 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 8.240 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 8.240 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 8.240 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 8.240 * [taylor]: Taking taylor expansion of -1/3 in im 8.240 * [backup-simplify]: Simplify -1/3 into -1/3 8.240 * [taylor]: Taking taylor expansion of (log re) in im 8.240 * [taylor]: Taking taylor expansion of re in im 8.240 * [backup-simplify]: Simplify re into re 8.240 * [backup-simplify]: Simplify (log re) into (log re) 8.240 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 8.240 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 8.240 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 8.241 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.241 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.242 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0 8.242 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 8.242 * [taylor]: Taking taylor expansion of 0 in im 8.242 * [backup-simplify]: Simplify 0 into 0 8.242 * [backup-simplify]: Simplify 0 into 0 8.243 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 8.243 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 8.244 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 8.244 * [backup-simplify]: Simplify 0 into 0 8.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.245 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.246 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 8.246 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.246 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.248 * [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)) 8.248 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.248 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2))) 8.249 * [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)))) 8.249 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 8.249 * [taylor]: Taking taylor expansion of 1/6 in im 8.249 * [backup-simplify]: Simplify 1/6 into 1/6 8.249 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 8.249 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 8.249 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 8.249 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 8.249 * [taylor]: Taking taylor expansion of 1/3 in im 8.249 * [backup-simplify]: Simplify 1/3 into 1/3 8.249 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 8.249 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.249 * [taylor]: Taking taylor expansion of re in im 8.249 * [backup-simplify]: Simplify re into re 8.249 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.249 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 8.249 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 8.249 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 8.250 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.250 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.250 * [taylor]: Taking taylor expansion of im in im 8.250 * [backup-simplify]: Simplify 0 into 0 8.250 * [backup-simplify]: Simplify 1 into 1 8.250 * [backup-simplify]: Simplify (* 1 1) into 1 8.250 * [backup-simplify]: Simplify (/ 1 1) into 1 8.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 8.253 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 8.254 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 8.255 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 8.257 * [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 8.258 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 8.259 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.260 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 8.261 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 8.261 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 8.262 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 8.262 * [backup-simplify]: Simplify 0 into 0 8.262 * [backup-simplify]: Simplify 0 into 0 8.264 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 8.265 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 8.266 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.266 * [backup-simplify]: Simplify 0 into 0 8.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.269 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 8.270 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 8.270 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 8.270 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 8.270 * [backup-simplify]: Simplify (+ 0 0) into 0 8.271 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.275 * [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 8.276 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.277 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 8.279 * [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 8.279 * [taylor]: Taking taylor expansion of 0 in im 8.279 * [backup-simplify]: Simplify 0 into 0 8.279 * [backup-simplify]: Simplify 0 into 0 8.279 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3) 8.280 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1 1) 8.280 * [backup-simplify]: Simplify (cbrt (hypot re im)) into (pow (hypot re im) 1/3) 8.280 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 8.280 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 8.280 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 8.280 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 8.280 * [taylor]: Taking taylor expansion of 1/3 in im 8.280 * [backup-simplify]: Simplify 1/3 into 1/3 8.280 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 8.280 * [taylor]: Taking taylor expansion of (hypot re im) in im 8.280 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.280 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 8.280 * [taylor]: Taking taylor expansion of (* re re) in im 8.280 * [taylor]: Taking taylor expansion of re in im 8.280 * [backup-simplify]: Simplify re into re 8.280 * [taylor]: Taking taylor expansion of re in im 8.280 * [backup-simplify]: Simplify re into re 8.280 * [taylor]: Taking taylor expansion of (* im im) in im 8.280 * [taylor]: Taking taylor expansion of im in im 8.280 * [backup-simplify]: Simplify 0 into 0 8.280 * [backup-simplify]: Simplify 1 into 1 8.280 * [taylor]: Taking taylor expansion of im in im 8.280 * [backup-simplify]: Simplify 0 into 0 8.280 * [backup-simplify]: Simplify 1 into 1 8.280 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.281 * [backup-simplify]: Simplify (* 0 0) into 0 8.281 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.281 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.281 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.281 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.281 * [backup-simplify]: Simplify (+ 0 0) into 0 8.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.282 * [backup-simplify]: Simplify (log re) into (log re) 8.282 * [backup-simplify]: Simplify (* 1/3 (log re)) into (* 1/3 (log re)) 8.282 * [backup-simplify]: Simplify (exp (* 1/3 (log re))) into (pow re 1/3) 8.282 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 8.282 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 8.282 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 8.282 * [taylor]: Taking taylor expansion of 1/3 in re 8.282 * [backup-simplify]: Simplify 1/3 into 1/3 8.282 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 8.282 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.282 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.282 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.282 * [taylor]: Taking taylor expansion of (* re re) in re 8.282 * [taylor]: Taking taylor expansion of re in re 8.282 * [backup-simplify]: Simplify 0 into 0 8.282 * [backup-simplify]: Simplify 1 into 1 8.282 * [taylor]: Taking taylor expansion of re in re 8.282 * [backup-simplify]: Simplify 0 into 0 8.282 * [backup-simplify]: Simplify 1 into 1 8.282 * [taylor]: Taking taylor expansion of (* im im) in re 8.282 * [taylor]: Taking taylor expansion of im in re 8.282 * [backup-simplify]: Simplify im into im 8.282 * [taylor]: Taking taylor expansion of im in re 8.282 * [backup-simplify]: Simplify im into im 8.282 * [backup-simplify]: Simplify (* 0 0) into 0 8.282 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.282 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.283 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.283 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.283 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.283 * [backup-simplify]: Simplify (+ 0 0) into 0 8.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.283 * [backup-simplify]: Simplify (log im) into (log im) 8.283 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 8.283 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 8.284 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 8.284 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 8.284 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 8.284 * [taylor]: Taking taylor expansion of 1/3 in re 8.284 * [backup-simplify]: Simplify 1/3 into 1/3 8.284 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 8.284 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.284 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.284 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.284 * [taylor]: Taking taylor expansion of (* re re) in re 8.284 * [taylor]: Taking taylor expansion of re in re 8.284 * [backup-simplify]: Simplify 0 into 0 8.284 * [backup-simplify]: Simplify 1 into 1 8.284 * [taylor]: Taking taylor expansion of re in re 8.284 * [backup-simplify]: Simplify 0 into 0 8.284 * [backup-simplify]: Simplify 1 into 1 8.284 * [taylor]: Taking taylor expansion of (* im im) in re 8.284 * [taylor]: Taking taylor expansion of im in re 8.284 * [backup-simplify]: Simplify im into im 8.284 * [taylor]: Taking taylor expansion of im in re 8.284 * [backup-simplify]: Simplify im into im 8.284 * [backup-simplify]: Simplify (* 0 0) into 0 8.284 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.284 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.284 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.285 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.285 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.285 * [backup-simplify]: Simplify (+ 0 0) into 0 8.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.285 * [backup-simplify]: Simplify (log im) into (log im) 8.285 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 8.285 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 8.285 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 8.285 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 8.285 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 8.285 * [taylor]: Taking taylor expansion of 1/3 in im 8.285 * [backup-simplify]: Simplify 1/3 into 1/3 8.285 * [taylor]: Taking taylor expansion of (log im) in im 8.285 * [taylor]: Taking taylor expansion of im in im 8.285 * [backup-simplify]: Simplify 0 into 0 8.285 * [backup-simplify]: Simplify 1 into 1 8.286 * [backup-simplify]: Simplify (log 1) into 0 8.286 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 8.286 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 8.286 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 8.286 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3) 8.287 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 8.287 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0 8.288 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 8.288 * [taylor]: Taking taylor expansion of 0 in im 8.288 * [backup-simplify]: Simplify 0 into 0 8.288 * [backup-simplify]: Simplify 0 into 0 8.289 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.289 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 8.289 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0 8.290 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 8.290 * [backup-simplify]: Simplify 0 into 0 8.290 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.291 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.291 * [backup-simplify]: Simplify (+ 1 0) into 1 8.291 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.292 * [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)) 8.292 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/6 (/ 1 (pow im 2))) 8.293 * [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)) 8.293 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 8.293 * [taylor]: Taking taylor expansion of 1/6 in im 8.293 * [backup-simplify]: Simplify 1/6 into 1/6 8.293 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 8.293 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 8.293 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 8.293 * [taylor]: Taking taylor expansion of 1/3 in im 8.293 * [backup-simplify]: Simplify 1/3 into 1/3 8.293 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 8.293 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 8.293 * [taylor]: Taking taylor expansion of (pow im 5) in im 8.293 * [taylor]: Taking taylor expansion of im in im 8.293 * [backup-simplify]: Simplify 0 into 0 8.293 * [backup-simplify]: Simplify 1 into 1 8.294 * [backup-simplify]: Simplify (* 1 1) into 1 8.294 * [backup-simplify]: Simplify (* 1 1) into 1 8.294 * [backup-simplify]: Simplify (* 1 1) into 1 8.294 * [backup-simplify]: Simplify (/ 1 1) into 1 8.294 * [backup-simplify]: Simplify (log 1) into 0 8.295 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 8.295 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im)) 8.295 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3) 8.295 * [backup-simplify]: Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 8.295 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 8.295 * [backup-simplify]: Simplify 0 into 0 8.297 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.297 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 8.298 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log im)))) into 0 8.298 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.298 * [backup-simplify]: Simplify 0 into 0 8.299 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.300 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.300 * [backup-simplify]: Simplify (+ 0 0) into 0 8.300 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.302 * [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 8.302 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0 8.304 * [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 8.304 * [taylor]: Taking taylor expansion of 0 in im 8.304 * [backup-simplify]: Simplify 0 into 0 8.304 * [backup-simplify]: Simplify 0 into 0 8.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.306 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.306 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 8.307 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0 8.307 * [backup-simplify]: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 8.308 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0 8.308 * [backup-simplify]: Simplify 0 into 0 8.308 * [backup-simplify]: Simplify 0 into 0 8.313 * [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 8.313 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 8.315 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0 8.317 * [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 8.317 * [backup-simplify]: Simplify 0 into 0 8.318 * [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)) 8.318 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 re) (/ 1 im))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/3) 8.318 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 8.318 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 8.318 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 8.318 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 8.318 * [taylor]: Taking taylor expansion of 1/3 in im 8.318 * [backup-simplify]: Simplify 1/3 into 1/3 8.318 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 8.318 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 8.318 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.318 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 8.318 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 8.318 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.319 * [taylor]: Taking taylor expansion of re in im 8.319 * [backup-simplify]: Simplify re into re 8.319 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.319 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.319 * [taylor]: Taking taylor expansion of re in im 8.319 * [backup-simplify]: Simplify re into re 8.319 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.319 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 8.319 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.319 * [taylor]: Taking taylor expansion of im in im 8.319 * [backup-simplify]: Simplify 0 into 0 8.319 * [backup-simplify]: Simplify 1 into 1 8.319 * [backup-simplify]: Simplify (/ 1 1) into 1 8.319 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.319 * [taylor]: Taking taylor expansion of im in im 8.319 * [backup-simplify]: Simplify 0 into 0 8.319 * [backup-simplify]: Simplify 1 into 1 8.320 * [backup-simplify]: Simplify (/ 1 1) into 1 8.320 * [backup-simplify]: Simplify (* 1 1) into 1 8.321 * [backup-simplify]: Simplify (+ 0 1) into 1 8.321 * [backup-simplify]: Simplify (sqrt 1) into 1 8.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.324 * [backup-simplify]: Simplify (+ 0 0) into 0 8.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.325 * [backup-simplify]: Simplify (log 1) into 0 8.325 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 8.326 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im)) 8.326 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 8.326 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 8.326 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 8.326 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 8.326 * [taylor]: Taking taylor expansion of 1/3 in re 8.326 * [backup-simplify]: Simplify 1/3 into 1/3 8.326 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 8.326 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.326 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.326 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.326 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.326 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.326 * [taylor]: Taking taylor expansion of re in re 8.326 * [backup-simplify]: Simplify 0 into 0 8.326 * [backup-simplify]: Simplify 1 into 1 8.327 * [backup-simplify]: Simplify (/ 1 1) into 1 8.327 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.327 * [taylor]: Taking taylor expansion of re in re 8.327 * [backup-simplify]: Simplify 0 into 0 8.327 * [backup-simplify]: Simplify 1 into 1 8.327 * [backup-simplify]: Simplify (/ 1 1) into 1 8.327 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.327 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.327 * [taylor]: Taking taylor expansion of im in re 8.327 * [backup-simplify]: Simplify im into im 8.327 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.327 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.327 * [taylor]: Taking taylor expansion of im in re 8.327 * [backup-simplify]: Simplify im into im 8.327 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.328 * [backup-simplify]: Simplify (* 1 1) into 1 8.328 * [backup-simplify]: Simplify (+ 1 0) into 1 8.329 * [backup-simplify]: Simplify (sqrt 1) into 1 8.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.331 * [backup-simplify]: Simplify (+ 0 0) into 0 8.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.332 * [backup-simplify]: Simplify (log 1) into 0 8.333 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.333 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 8.333 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 8.333 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 8.333 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 8.333 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 8.333 * [taylor]: Taking taylor expansion of 1/3 in re 8.333 * [backup-simplify]: Simplify 1/3 into 1/3 8.333 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 8.333 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.333 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.333 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.333 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.333 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.334 * [taylor]: Taking taylor expansion of re in re 8.334 * [backup-simplify]: Simplify 0 into 0 8.334 * [backup-simplify]: Simplify 1 into 1 8.334 * [backup-simplify]: Simplify (/ 1 1) into 1 8.334 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.334 * [taylor]: Taking taylor expansion of re in re 8.334 * [backup-simplify]: Simplify 0 into 0 8.334 * [backup-simplify]: Simplify 1 into 1 8.334 * [backup-simplify]: Simplify (/ 1 1) into 1 8.334 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.334 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.335 * [taylor]: Taking taylor expansion of im in re 8.335 * [backup-simplify]: Simplify im into im 8.335 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.335 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.335 * [taylor]: Taking taylor expansion of im in re 8.335 * [backup-simplify]: Simplify im into im 8.335 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.335 * [backup-simplify]: Simplify (* 1 1) into 1 8.336 * [backup-simplify]: Simplify (+ 1 0) into 1 8.336 * [backup-simplify]: Simplify (sqrt 1) into 1 8.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.337 * [backup-simplify]: Simplify (+ 0 0) into 0 8.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.338 * [backup-simplify]: Simplify (log 1) into 0 8.338 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.339 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 8.339 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 8.339 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 8.339 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 8.339 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 8.339 * [taylor]: Taking taylor expansion of -1/3 in im 8.339 * [backup-simplify]: Simplify -1/3 into -1/3 8.339 * [taylor]: Taking taylor expansion of (log re) in im 8.339 * [taylor]: Taking taylor expansion of re in im 8.339 * [backup-simplify]: Simplify re into re 8.339 * [backup-simplify]: Simplify (log re) into (log re) 8.339 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 8.339 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 8.339 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 8.344 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.345 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.346 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0 8.347 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 8.347 * [taylor]: Taking taylor expansion of 0 in im 8.347 * [backup-simplify]: Simplify 0 into 0 8.347 * [backup-simplify]: Simplify 0 into 0 8.348 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 8.349 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 8.349 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 8.350 * [backup-simplify]: Simplify 0 into 0 8.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.353 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 8.353 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.354 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.356 * [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)) 8.357 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.357 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2))) 8.358 * [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)))) 8.358 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 8.359 * [taylor]: Taking taylor expansion of 1/6 in im 8.359 * [backup-simplify]: Simplify 1/6 into 1/6 8.359 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 8.359 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 8.359 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 8.359 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 8.359 * [taylor]: Taking taylor expansion of 1/3 in im 8.359 * [backup-simplify]: Simplify 1/3 into 1/3 8.359 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 8.359 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.359 * [taylor]: Taking taylor expansion of re in im 8.359 * [backup-simplify]: Simplify re into re 8.359 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.359 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 8.359 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 8.359 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 8.359 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.359 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.359 * [taylor]: Taking taylor expansion of im in im 8.359 * [backup-simplify]: Simplify 0 into 0 8.359 * [backup-simplify]: Simplify 1 into 1 8.360 * [backup-simplify]: Simplify (* 1 1) into 1 8.360 * [backup-simplify]: Simplify (/ 1 1) into 1 8.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 8.364 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 8.365 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 8.365 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 8.367 * [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 8.367 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 8.368 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.368 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 8.369 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 8.369 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 8.370 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 8.370 * [backup-simplify]: Simplify 0 into 0 8.370 * [backup-simplify]: Simplify 0 into 0 8.371 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 8.371 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 8.372 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.372 * [backup-simplify]: Simplify 0 into 0 8.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 8.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 8.374 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 8.374 * [backup-simplify]: Simplify (+ 0 0) into 0 8.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.377 * [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 8.377 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.378 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 8.379 * [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 8.379 * [taylor]: Taking taylor expansion of 0 in im 8.379 * [backup-simplify]: Simplify 0 into 0 8.379 * [backup-simplify]: Simplify 0 into 0 8.379 * [backup-simplify]: Simplify (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3) 8.379 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/3) 8.379 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 8.379 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 8.379 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 8.379 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 8.379 * [taylor]: Taking taylor expansion of 1/3 in im 8.379 * [backup-simplify]: Simplify 1/3 into 1/3 8.379 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 8.380 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 8.380 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.380 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 8.380 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 8.380 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.380 * [taylor]: Taking taylor expansion of -1 in im 8.380 * [backup-simplify]: Simplify -1 into -1 8.380 * [taylor]: Taking taylor expansion of re in im 8.380 * [backup-simplify]: Simplify re into re 8.380 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.380 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.380 * [taylor]: Taking taylor expansion of -1 in im 8.380 * [backup-simplify]: Simplify -1 into -1 8.380 * [taylor]: Taking taylor expansion of re in im 8.380 * [backup-simplify]: Simplify re into re 8.380 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.380 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 8.380 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.380 * [taylor]: Taking taylor expansion of -1 in im 8.380 * [backup-simplify]: Simplify -1 into -1 8.380 * [taylor]: Taking taylor expansion of im in im 8.380 * [backup-simplify]: Simplify 0 into 0 8.380 * [backup-simplify]: Simplify 1 into 1 8.380 * [backup-simplify]: Simplify (/ -1 1) into -1 8.380 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.380 * [taylor]: Taking taylor expansion of -1 in im 8.380 * [backup-simplify]: Simplify -1 into -1 8.380 * [taylor]: Taking taylor expansion of im in im 8.380 * [backup-simplify]: Simplify 0 into 0 8.380 * [backup-simplify]: Simplify 1 into 1 8.381 * [backup-simplify]: Simplify (/ -1 1) into -1 8.381 * [backup-simplify]: Simplify (* -1 -1) into 1 8.381 * [backup-simplify]: Simplify (+ 0 1) into 1 8.381 * [backup-simplify]: Simplify (sqrt 1) into 1 8.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.383 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.383 * [backup-simplify]: Simplify (+ 0 0) into 0 8.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.384 * [backup-simplify]: Simplify (log 1) into 0 8.384 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 8.384 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im)) 8.384 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 8.384 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 8.384 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 8.384 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 8.384 * [taylor]: Taking taylor expansion of 1/3 in re 8.384 * [backup-simplify]: Simplify 1/3 into 1/3 8.384 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 8.384 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.384 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.384 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.384 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.384 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.384 * [taylor]: Taking taylor expansion of -1 in re 8.384 * [backup-simplify]: Simplify -1 into -1 8.384 * [taylor]: Taking taylor expansion of re in re 8.384 * [backup-simplify]: Simplify 0 into 0 8.385 * [backup-simplify]: Simplify 1 into 1 8.385 * [backup-simplify]: Simplify (/ -1 1) into -1 8.385 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.385 * [taylor]: Taking taylor expansion of -1 in re 8.385 * [backup-simplify]: Simplify -1 into -1 8.385 * [taylor]: Taking taylor expansion of re in re 8.385 * [backup-simplify]: Simplify 0 into 0 8.385 * [backup-simplify]: Simplify 1 into 1 8.385 * [backup-simplify]: Simplify (/ -1 1) into -1 8.385 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.385 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.385 * [taylor]: Taking taylor expansion of -1 in re 8.385 * [backup-simplify]: Simplify -1 into -1 8.385 * [taylor]: Taking taylor expansion of im in re 8.385 * [backup-simplify]: Simplify im into im 8.385 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.385 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.385 * [taylor]: Taking taylor expansion of -1 in re 8.385 * [backup-simplify]: Simplify -1 into -1 8.385 * [taylor]: Taking taylor expansion of im in re 8.385 * [backup-simplify]: Simplify im into im 8.385 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.386 * [backup-simplify]: Simplify (* -1 -1) into 1 8.386 * [backup-simplify]: Simplify (+ 1 0) into 1 8.386 * [backup-simplify]: Simplify (sqrt 1) into 1 8.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.387 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.388 * [backup-simplify]: Simplify (+ 0 0) into 0 8.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.388 * [backup-simplify]: Simplify (log 1) into 0 8.389 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.389 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 8.389 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 8.389 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 8.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 8.389 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 8.389 * [taylor]: Taking taylor expansion of 1/3 in re 8.389 * [backup-simplify]: Simplify 1/3 into 1/3 8.389 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 8.389 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.389 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.389 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.389 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.389 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.389 * [taylor]: Taking taylor expansion of -1 in re 8.389 * [backup-simplify]: Simplify -1 into -1 8.389 * [taylor]: Taking taylor expansion of re in re 8.389 * [backup-simplify]: Simplify 0 into 0 8.389 * [backup-simplify]: Simplify 1 into 1 8.390 * [backup-simplify]: Simplify (/ -1 1) into -1 8.390 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.390 * [taylor]: Taking taylor expansion of -1 in re 8.390 * [backup-simplify]: Simplify -1 into -1 8.390 * [taylor]: Taking taylor expansion of re in re 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify 1 into 1 8.390 * [backup-simplify]: Simplify (/ -1 1) into -1 8.390 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.390 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.390 * [taylor]: Taking taylor expansion of -1 in re 8.390 * [backup-simplify]: Simplify -1 into -1 8.390 * [taylor]: Taking taylor expansion of im in re 8.390 * [backup-simplify]: Simplify im into im 8.390 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.390 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.390 * [taylor]: Taking taylor expansion of -1 in re 8.390 * [backup-simplify]: Simplify -1 into -1 8.390 * [taylor]: Taking taylor expansion of im in re 8.390 * [backup-simplify]: Simplify im into im 8.390 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.391 * [backup-simplify]: Simplify (* -1 -1) into 1 8.391 * [backup-simplify]: Simplify (+ 1 0) into 1 8.391 * [backup-simplify]: Simplify (sqrt 1) into 1 8.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.393 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.393 * [backup-simplify]: Simplify (+ 0 0) into 0 8.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.394 * [backup-simplify]: Simplify (log 1) into 0 8.394 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.394 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 8.394 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 8.394 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 8.394 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 8.394 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 8.394 * [taylor]: Taking taylor expansion of -1/3 in im 8.394 * [backup-simplify]: Simplify -1/3 into -1/3 8.394 * [taylor]: Taking taylor expansion of (log re) in im 8.394 * [taylor]: Taking taylor expansion of re in im 8.394 * [backup-simplify]: Simplify re into re 8.394 * [backup-simplify]: Simplify (log re) into (log re) 8.394 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 8.394 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 8.394 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 8.395 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.395 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.396 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0 8.397 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 8.397 * [taylor]: Taking taylor expansion of 0 in im 8.397 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify 0 into 0 8.398 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 8.398 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 8.399 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 8.399 * [backup-simplify]: Simplify 0 into 0 8.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.402 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.402 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 8.403 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.404 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.406 * [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)) 8.406 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.407 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2))) 8.408 * [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)))) 8.408 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 8.408 * [taylor]: Taking taylor expansion of 1/6 in im 8.408 * [backup-simplify]: Simplify 1/6 into 1/6 8.408 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 8.408 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 8.408 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 8.408 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 8.408 * [taylor]: Taking taylor expansion of 1/3 in im 8.408 * [backup-simplify]: Simplify 1/3 into 1/3 8.408 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 8.408 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.408 * [taylor]: Taking taylor expansion of re in im 8.408 * [backup-simplify]: Simplify re into re 8.409 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.409 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 8.409 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 8.409 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 8.409 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.409 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.409 * [taylor]: Taking taylor expansion of im in im 8.409 * [backup-simplify]: Simplify 0 into 0 8.409 * [backup-simplify]: Simplify 1 into 1 8.409 * [backup-simplify]: Simplify (* 1 1) into 1 8.410 * [backup-simplify]: Simplify (/ 1 1) into 1 8.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 8.414 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 8.415 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 8.416 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 8.418 * [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 8.419 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 8.420 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.421 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 8.422 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 8.422 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 8.423 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 8.423 * [backup-simplify]: Simplify 0 into 0 8.423 * [backup-simplify]: Simplify 0 into 0 8.425 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 8.426 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 8.427 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.427 * [backup-simplify]: Simplify 0 into 0 8.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.429 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 8.429 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 8.429 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 8.430 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 8.430 * [backup-simplify]: Simplify (+ 0 0) into 0 8.430 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.432 * [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 8.433 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 8.433 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 8.435 * [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 8.435 * [taylor]: Taking taylor expansion of 0 in im 8.435 * [backup-simplify]: Simplify 0 into 0 8.435 * [backup-simplify]: Simplify 0 into 0 8.435 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3) 8.435 * * * [progress]: simplifying candidates 8.436 * [simplify]: Simplifying: (expm1 (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (log1p (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (* (exp (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (exp re)) (log (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (exp (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (* (cbrt (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (cbrt (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))) (cbrt (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (* (* (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (sqrt (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (sqrt (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (+ (pow (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) 3) (pow re 3)) (+ (* (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (- (* re re) (* (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))) (- (* (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (* re re)) (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (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))) (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) (* 2 re) 0 (+ (* 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) (+ (* 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) 8.437 * * [simplify]: iteration 0: 63 enodes 8.448 * * [simplify]: iteration 1: 151 enodes 8.518 * * [simplify]: iteration 2: 523 enodes 9.028 * * [simplify]: iteration 3: 3151 enodes 10.204 * * [simplify]: iteration complete: 5000 enodes 10.204 * * [simplify]: Extracting #0: cost 30 inf + 0 10.206 * * [simplify]: Extracting #1: cost 385 inf + 2 10.212 * * [simplify]: Extracting #2: cost 969 inf + 726 10.225 * * [simplify]: Extracting #3: cost 401 inf + 5714 10.234 * * [simplify]: Extracting #4: cost 134 inf + 8683 10.240 * * [simplify]: Extracting #5: cost 81 inf + 9255 10.246 * * [simplify]: Extracting #6: cost 57 inf + 9475 10.251 * * [simplify]: Extracting #7: cost 9 inf + 9974 10.257 * * [simplify]: Extracting #8: cost 0 inf + 10093 10.264 * [simplify]: Simplified to: (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) 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)) (pow (+ (hypot re im) re) 3) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (fma re re (* (hypot re im) (+ (- re) (hypot re im)))) (fma (- re) re (pow (cbrt (hypot re im)) 6)) (- (hypot re im) re) (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))) 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 (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (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 (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (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))) (+ re im) (* re 2) 0 (fma (* 1/6 (* re re)) (cbrt (/ 1 (pow im 5))) (cbrt im)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (fma (* 1/6 (* re re)) (cbrt (/ 1 (pow im 5))) (cbrt im)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (fma (* 1/6 (* re re)) (cbrt (/ 1 (pow im 5))) (cbrt im)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 10.264 * * * [progress]: adding candidates to table 10.679 * [progress]: [Phase 3 of 3] Extracting. 10.679 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 10.684 * * * [regime-changes]: Trying 2 branch expressions: (im re) 10.684 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # # # #) 10.833 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # # # #) 10.994 * * * [regime]: Found split indices: #